diff --git "a/data/dm_maths/full_data_2/1052_11255.jsonl" "b/data/dm_maths/full_data_2/1052_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_2/1052_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: 5 divided by 6590809\nAnswer: 5\/6590809","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wo when two letters picked without replacement from {n: 1, o: 4, w: 2, p: 2}.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-two fifths of a micrometer in nanometers?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 138022*q**2 + 93688.\nAnswer: 276044*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -1720, -3439, -5146, -6835, -8500, -10135, -11734?\n\"Answer: a**3 - 1726*a + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -8489 (base 14) in base 8?\nAnswer: -54511","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 3 + 1)*(-5*w**3 + 90*w**2 - 185*w**2 + 97*w**2 + 8*w).\nAnswer: 5*w**3 - 2*w**2 - 8*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 9*o + 103. Let j be c(-11). Let r = -7 - -175. Calculate the highest common factor of j and r.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 147*y - 292*y - 2*y**2 + 145*y.\nAnswer: -2*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (44 - 85 - 21) + -4 + 3 + 19\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -394, -841, -1302, -1783, -2290?\nAnswer: -2829","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17650.4*-0.7.\nAnswer: -12355.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -998113, -1996264, -2994415?\nAnswer: -3992566","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 32*z**3 + 32 + z**2 - 2*z**2 + 0*z**2 - 2*z**4 - z - 31*z**3 to u*z**2 + k*z**4 + m + r*z + g*z**3 and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 2 = -3*i + 24, -8 = -4*i. Let d be 3\/(0 + -1) - b. Let h = 35 + -387\/11. Which is bigger: h or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(-3 + sqrt(72) + (sqrt(72) + 4 - sqrt(72)))*2)**2.\nAnswer: 432*sqrt(2) + 2628","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -9 + 5*d**3 - 4*d - 30*d**2 - 45*d**2 - 2*d + 85*d**2. Let t(l) = 4*l**3 + 9*l**2 - 5*l - 9. Let j(p) = -4*t(p) + 3*v(p). What is j(-6)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*b - 0*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -1ac0 (base 15) to base 7\nAnswer: -22632","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -5 (b) -0.64 (c) 5\/19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6023651, 6023638, 6023617, 6023588?\nAnswer: 6023551","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*f**2 + 7*f**2 + 5*f**2)*(-2*f**2 + 3*f**2 - 5*f**2)*(0 - 5 + 0)*(-f + 10*f - 17*f)*(-5 + 2 + 4).\nAnswer: -1280*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*d + 2 - 12. Suppose d = -k, -5*z + 113 = -k - 3*k. Let a be ((-2)\/12)\/(z\/63). What is the closest to a in -4, 0.5, 1?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 3\/2, -8, -0.0941, 0.2, -6?\nAnswer: -0.0941","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -90*s + 356*s - 4*z = z + 713, -2*z + 7*z - 91 = -2*s for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -73*x = -147 - 437 for x.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1577225 is divided by 4333.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -6, 2, -3596 in increasing order.\nAnswer: -3596, -6, -5, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/3 in -0.2, 0.1, -2\/15, 15, -0.12?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 225326070646 - 4.\nAnswer: 225326070642","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 12880, 25762, 38640, 51514, 64384, 77250?\n\"Answer: -2*g**2 + 12888*g - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((z*z**(-1))\/z)\/z)**(-10))**(-1\/38)\/((z\/(z*z\/z**(-2\/3)*z))**(-1\/17))**(-35) assuming z is positive.\nAnswer: z**(4810\/969)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 918 + 6*v - 4*v - 999 + 4*v to p + i*v and give i.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 160 and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y, 1 f, and 1 d when three letters picked without replacement from {f: 5, y: 11, d: 1}?\nAnswer: 11\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 - 3 = -3*v. What is the smallest value in -4, v, -5, -1\/4?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3512 divide 173213974?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 16665.294 months in centuries?\nAnswer: 13.887745","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/((-8)\/(-1)))\/(36\/144).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -7375484.000049 + 7375498. Let k = -0.3 + 14.3. Let t = k - o. Round t to five decimal places.\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = k + 10. Let n be c(-8). Is ((-3)\/(-2))\/(n\/596) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -6 + 17. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 7*x**3 + 11*x**2 - 11. Let w(z) = 4*z**3 + 5*z**2 - 5. Let t(g) = 3*q(g) - 5*w(g). Let v be 30\/(-2)*(-2)\/(-5). What is the units digit of t(v)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oo when two letters picked without replacement from aaooojaaajojjjhjo.\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a = -0*a + 5*j + 275, 0 = -3*a + 5*j + 161. What is the highest common factor of a and 38?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 52 minutes before 11:34 PM?\nAnswer: 10:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/3? (a) -5\/4 (b) -1\/40 (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*c + 9 + 0*c - c)*(15*c - c**2 - 15*c) to d*c**2 + b*c + n*c**3 + z and give n.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 101*n**2\/5 + 504*n\/5 - 1 = 0 for n.\nAnswer: -5, 1\/101","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a micrometer in nanometers?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -4*p**2 - 4*p + 8. Let s be y(2). Let o be 39\/12 + (6 - 2)\/s. Solve -o*l = 2*l + 20 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 1, g: 1, q: 6, s: 2, z: 3}. Give prob of sequence sqqz.\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + s + 1 + 2)*(2*s - 3*s - s) as f*s + i + t*s**2 and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -t**3 + 4*t**2 + 7*t + 17. Let g(x) = -x**2 - x + 1. Let o(f) = -6*g(f) + l(f). What is the units digit of o(11)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1 - (-1 - -6))\/((-123)\/82). Let b(t) = 23*t - t**2 + 6*t**2 - 28*t + 6 - t**3. What is b(p)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l**3 - 55472*l**2 - 55468*l = 0 for l.\nAnswer: -13867, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*z - 2*z + 15*z.\nAnswer: 15*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 1*(-6)\/56*((-925)\/(-888) - -3) and 87\/784?\nAnswer: 1568","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1\/7 (b) -7 (c) 7.12 (d) -5 (e) -2 (f) 2 (g) 0\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 79556861 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -939b9d7 - 3?\nAnswer: -939b9da","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.3? (a) 2\/61 (b) -1 (c) -79\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 14.9 - 6. Let n = 5.9 - s. Which is the nearest to n? (a) 0.5 (b) 2\/3 (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3970\/1673 + -55\/239. Let o be (-2)\/4 + 26\/8. Let j = 9\/4 - o. Sort j, p, 0.2.\nAnswer: j, 0.2, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 - 8.5442967\nAnswer: -6.5442967","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -16 + 15. Which is the second smallest value? (a) 0 (b) 1\/4 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 140*g**3 + 5*g**2 - 11*g + 76. Let r be w(11). What is r rounded to the nearest 100000?\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 15 + -18 + -2 + 34\/8. Let h = -409\/42 - -61\/6. What is the nearest to h in 3, y, 0.04?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*f - 12095 + 4591 = 0. What are the prime factors of f?\nAnswer: 2, 7, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) be the first derivative of 332*b**5 + 3569*b**3\/3 - 4021. Find the third derivative of l(d) wrt d.\nAnswer: 39840*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = h - 2. Let f be g(0). Which is the smallest value? (a) 4\/7 (b) f (c) -14\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2, -1\/126, 0.793, -0.1, 2\/13, -1\/4?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000003068 rounded to seven dps?\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -3 + (-1 - (-7 - -4) - 4)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1711 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -36*w**2 + 79*w. Let m(a) = 8*a**2. Determine z(m(y)).\nAnswer: -2304*y**4 + 632*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Are -2\/7 and -738 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2272?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 40 - 37. Suppose q*x - 2*u + 5*u = 12, 0 = -5*u - 5. Suppose -17 = -k + 3*a, 0*k + x*a + 43 = 3*k. What is the least common multiple of k and 10?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13952866139 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -42 - -45. Let z(c) = 2*c**2 - 4*c + 2. Let h be z(3). Suppose -f + h = 5*t. What is the highest common divisor of t and 8?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 6 in -0.1, -0.051, 10, 0.1, -5?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -375*g**3 + g**2 - 379*g**3 - g**2 - 121 + 756*g**3 to l*g**2 + r*g**3 + x + z*g and give x.\nAnswer: -121","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -110244 (base 6) to base 15\nAnswer: -2ab7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 11316030*b**3*r**2 + 1570*b**3*r + b**2*r + 1006*b + 2*r**5 - r wrt r.\nAnswer: 22632060*b**3 + 40*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9 - 1340*f**3 - 1344*f**3 - 1335*f**3 + 5335*f**3 - 1342*f**3.\nAnswer: -26*f**3 + 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2216\/369 + -6)\/(13\/234*-6).\nAnswer: -2\/123","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(-36)*g\/(g\/(g*g*g\/g**(-4)*g)))\/(g*(g\/(((g\/g**(5\/13))\/g)\/g*g*g))\/g*g*(g*g\/(g*g**(-14)))\/g))**(18\/11) assuming g is positive.\nAnswer: g**(-10152\/143)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 405 = 404?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -274 - -274.2. What is the nearest to f in -0.5, -1\/8, -1\/15?\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -2522, -20107, -67838, -160787, -314026, -542627, -861662?\n\"Answer: -2512*f**3 - f**2 + 2*f - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = y**3 + 10*y**2 + 9*y + 5. Determine b(-9).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -19.44434 + -0.33606. Round p to the nearest integer.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -k + 2*k**4 + k + k**4 - 4*k**4 + 0*k**4 + (-11 - 2 + 2)*(-31*k**2 + 31*k**2 + 10*k**4).\nAnswer: -111*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 103653888 and 104.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = o**2 - 108*o + 703. Let w be a(7). Put 33, -1, 0, w in increasing order.\nAnswer: w, -1, 0, 33","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 210 (base 4) in base 14?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -61\/40 and -9\/2102396.\nAnswer: 21023960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 10.965 - 10.875. What is the closest to 0.4 in r, 4, 8?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand p - p - p**2 + (-3 + 3 - p)*(0*p + 3*p - 5*p) - 3*p**2 + 2*p**2 + 3*p**2.\nAnswer: 3*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) be the first derivative of d**3\/3 - 13*d + 64. Let j be n(-4). Solve y + j*y = -3*u + 3, -4*y - 12 = 0 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 19474 + -2?\nAnswer: 19472","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) be the second derivative of 1\/4*n**2 + 1\/48*n**4 + 10*n + 0 - 1\/8*n**3. What is x in h(x) = 0?\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -94 + 73. Let f = x - -85\/4. Let a = -3.3 + 3. Which is bigger: a or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 119\/180 - -1\/180. Which is the nearest to 2? (a) t (b) 4 (c) 0.9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (4 + -4)\/((-2)\/(-1)). Let h be 28 + 8\/(2 + m). Find k, given that 16 + 7*k**2 - h + 0*k**4 - k**5 + k**3 - 3*k**4 + 12 = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 22679 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z - 14*a + 100 = 0, z + 3*a + 252 = -2*z + 276 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u + 8660 = 2*u + 3*w, 4*w - 17316 = -4*u. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 254 minutes after 12:49 AM?\nAnswer: 5:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) be the first derivative of 41\/2*s**2 + 97 - 102*s. What is the first derivative of q(n) wrt n?\nAnswer: 41","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -22 - -24. Let s(a) be the second derivative of -a + 0 - a**i - 1\/3*a**3. Differentiate s(f) with respect to f.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00001096903 to 6 dps.\nAnswer: 0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r\/(r**0*r))\/(r*r**(1\/13))*(r\/(r*r**(2\/5)))**(-48))**(37\/3))**13 assuming r is positive.\nAnswer: r**(43586\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) be the first derivative of -3 + 0*i - 4\/3*i**3 - 2*i**2. Factor l(a).\nAnswer: -4*a*(a + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 44\/5 and -50\/64741813.\nAnswer: 323709065","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.461 - -2.539. Put -4, m, -0.014, -0.5 in ascending order.\nAnswer: -4, -0.5, -0.014, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 643 minutes before 8:48 PM?\nAnswer: 10:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 9*k**3 - 57 + 27 + 32 wrt k?\nAnswer: 27*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-u - 2 + 2)*(0 - 4 + 2) + 0*u - u + 2*u + (3 - 2 - 4)*(3*u - 6*u + u) + 2*u + u - u + (-2 + 2 + 2)*(-3 + 3 - 2*u).\nAnswer: 7*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express m**2 - 5*m**3 - 230*m - 4*m**4 + 455*m - 225*m - 3*m**4 in the form f*m**4 + d*m**3 + c + i*m + u*m**2 and give f.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 44*f + 161. Let i(h) = -2*h - 1. Let u(w) = -4*i(w) - p(w). List the prime factors of u(-5).\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 27025 and 50?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12a1a81 (base 11) to base 3.\nAnswer: 11012221102002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = -3*j + 10. Suppose 4*a + 55 = 155. Suppose 4*d - a = -k, -3*k = -k + j*d - 32. What is the units digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 119 = 153. What are the prime factors of d?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*x - 4*a + 25 + 5, 4*x + 4*a = 48. Sort x, 5, 0, -1 in increasing order.\nAnswer: -1, 0, 5, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -i**5 - 4*i**4 - 6*i**3 - 4*i**2 - i.\nAnswer: -i*(i + 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -26.58740803 less than -9?\nAnswer: 17.58740803","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/2? (a) 96 (b) -4 (c) -232 (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (20*c**2 - 20 - 11*c**2 - 10*c**2)*(-4 + 2 + 1 + (-3 + 4 + 1)*(5 - 1 - 3) - 2 - 1 + 1).\nAnswer: c**2 + 20","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 14758 and 1504.\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*r = 16*r - 1284. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/9 in 1177, 2\/5, -2?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -4*o**2 + 399*o - 4242. Determine l(12).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 18\/5 of a day?\nAnswer: 5184","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ayp when three letters picked without replacement from pmmpsaykpmys?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 - (-2 + 3 + -8).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 35261 is divided by 16?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 12\/2131 not equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 2*a = 0. Let p = -0.33 + 0.03. Let f = 1.3 + p. Does a = f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = k**3 - 35*k**2 - 6*k + 224. What is x(35)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by 137508?\nAnswer: -1\/34377","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5188*v + 172315 + 121326 + 469510 = 156155 for v.\nAnswer: 117","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.1 - 0.2. Suppose -5*v + 27 = 7. Let p be (v\/14*-1)\/(-2 - -1). Is i at least as big as p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) be the third derivative of c**5\/300 + 44*c**4\/15 - 3*c**2 - 228. Factor z(r).\nAnswer: r*(r + 352)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (84\/(-162))\/(124\/(-6696))?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6290913, 25163640, 56618185, 100654548, 157272729, 226472728, 308254545?\nAnswer: 402618180","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 992\/310*1*375\/30\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-11)\/(-2) + 5\/(-10). Let s(y) = y**3 - 6*y**2 + 6*y. Give s(x).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/(a\/a**(1\/4))*a)\/a**1)**(1\/32)\/((a\/((a*a**0)\/a)*a*a*a)**15)**25 assuming a is positive.\nAnswer: a**(-191999\/128)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k**2\/2 - 5249278*k + 10498557\/2 = 0. Calculate k.\nAnswer: -10498557, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*w + 3*w - 3*w)*(0*w**2 + 12*w**2 + 3*w**2)*((-6 - 6 + 18)*(-5*w + 3*w + 15*w)*(4 - 3 - 3) + 4*w + 2*w - 5*w).\nAnswer: 6975*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3298005015.\nAnswer: 3, 5, 17, 101, 128053","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 466 is divided by 78?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -1832 greater than -1802?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 > 4\/1023?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 418 minutes before 3:05 AM?\nAnswer: 8:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b = -2*b + 20, 5*b - 20 = 2*n. Let h(t) = -t + 4. Let j be h(2). Suppose -j*y + 8 = 4. Solve -2*v - y + 10 = n for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -53*y + 58*y - 648*y in the form l + a*y and give a.\nAnswer: -643","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Determine s, given that 3*s**3\/2 + 87*s**2\/4 - 141*s\/4 + 12 = 0.\nAnswer: -16, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 102 - 12010021?\nAnswer: -12002212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 36 (b) 0.2 (c) -1 (d) -1\/14 (e) 3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.156 + 0.344. What is the smallest value in 1\/4, 50, b?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10830*i + 11306*i - 18564 = 0 for i.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*((sqrt(175) - (sqrt(175) - 2*sqrt(175)))*3 + -4))**2 - ((-3 + (sqrt(175) - (sqrt(175) + 0)) + sqrt(175))**2*-2 + -2).\nAnswer: -2220*sqrt(7) + 57214","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = 2*f - 15328. Let r = f + -2200. Let q = r + -743. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -2*k**2 + 4*k**2 + 4*k + 1 + 2*k**2 + k**3 - 3. Let b be g(-4). What is b rounded to the nearest ten?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 215930225 to the power of 1\/2, to the nearest integer?\nAnswer: 14695","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -117890, -117918, -117966, -118034, -118122?\nAnswer: -118230","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 5*q**2 - q + 7. What is the remainder when a(5) is divided by (-6)\/78*-104*(-22)\/(-8)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.077914 to two dps.\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-46)\/6)\/((-2772)\/(-189)) - ((-42)\/(-154))\/(-1)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -2*z**2 + 12*z - 3. Let v be u(5). Differentiate v + c + c - 5*c wrt c.\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -773\/6 - -385\/3. What is the biggest value in 0, -12, y, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -4*b**2 - 5*b + 8. Let m be ((-4)\/(-10))\/((-66)\/(-30) - 2). Let r be u(m). Is r > -21?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 80753722 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -4*(28\/(-24))\/(-7)*3. Let g be k\/5 + ((-376)\/(-40) - 8). Let x(n) = -4*n**2 - 3*n + 2. Let r(s) = s**2 + s. What is g*x(u) + 2*r(u)?\nAnswer: -2*u**2 - u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -60*b**3 - 44*b**3 + 6*b**3.\nAnswer: -98*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 12 - 105 = 0. Let j = z - -131. Suppose -j = 3*w - 265. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*c = 16*c - 6. Solve -h - 2*x = c*x - 20, 3*h = -4*x + 28 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4b (base 15) to base 5.\nAnswer: 241","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4512 + 4512 + 463*z)*(0*z**2 + 2*z**2 + 0*z**2).\nAnswer: 926*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-69*l + 156*l + 208*l)*(39*l - 39*l - 6*l**2) to the form y + x*l**3 + i*l**2 + m*l and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 3*x - 2*x. Let v = -1 - -10. Let m(a) = -a**3 + 9*a**2 + 3. Let z be m(v). Solve t = -z*r + 3*t - x, 2*r - 3*t = -8 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(-1 + sqrt(1584) + sqrt(1584) + sqrt(1584)*2)**2 + -1*-2*sqrt(44)*-5 + 5.\nAnswer: -596*sqrt(11) + 152075","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 3779\/6, 4, -4965 in descending order.\nAnswer: 3779\/6, 4, -4965","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 4*88\/16 + 7. Suppose 3*h + m + 3*m = 589, 2*m = -h + 193. What is the highest common factor of f and h?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*i - i + 12 = 32 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - u - 43 + 4 = 0, 0 = 4*z + 3*u - 121. Differentiate -4 - z*n - 2 + 26*n with respect to n.\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 52 + 52 = -52*j for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/17? (a) -0.1 (b) 3 (c) 1 (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 178643 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -9*r**4 - 7477*r**3*w**2 + r**2 - 3*r*w**2 - 2*r*w - 2*w**2 - 67983*w wrt r?\nAnswer: -108*r**2 - 44862*r*w**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.905166 kilometers in centimeters?\nAnswer: 590516.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 5347 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -2*a**2 - 6*a - 1. Let g(z) = -z**2 - z + 1. Let k(j) = -j + 18. Let b be k(12). Let v(l) = b*g(l) - 2*q(l). Let v(h) = 0. Calculate h.\nAnswer: -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-26 + 28)*(-2)\/(0 + -2). Suppose -7*a + 50 = -k*a. Let p(v) = 5*v. Let q be p(2). Calculate the highest common factor of q and a.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 860 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -799469\/42 - -19036. Let h be (-1)\/4*40\/28. Let r = h + p. Sort 4, r, -0.3, -3\/2 in decreasing order.\nAnswer: 4, r, -0.3, -3\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -63498.7953 - -580788.\nAnswer: 517289.2047","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 38 + -31. Let v(f) = f**2 - 10*f + 3. Let x be v(l). Let r be (-14)\/(-63) - 2768\/x. Calculate the highest common divisor of r and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 15 by -1504.\nAnswer: -15\/1504","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + 1 - ((-28)\/8 - -2).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 + (16 - 5 - 18) + -2?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 296, 593, 890?\n\"Answer: 297*m - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 82 (b) -14 (c) 2\/11 (d) 0 (e) 0.1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -414 - -740. List the prime factors of o.\nAnswer: 2, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = v - 4*q - 5 - 22, 192 = 5*v - q. Let u(y) = -1 - 1 + 6*y - y**3 - 32*y**2 + v*y**2 + 2*y**3. List the prime factors of u(-5).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2783.06 + 2783. Which is the third smallest value? (a) 2 (b) g (c) 2\/9 (d) 2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -26850 and 69433.\nAnswer: 42583","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*f**2 - 2*f + 2*f)*(-3 - 4 + 5) - 4*f + f**2 + 4*f + (-2*f**2 + 0*f**2 + 4*f**2)*(8 - 2 + 1) in the form r*f**2 + l + a*f and give r.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2 - 2. Let s = -2\/17 + -28\/51. Let y be ((-12)\/(-8))\/(10 - 4). Which is the closest to y? (a) s (b) v (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v = -2*v - x + 7, 0 = -v - 5*x + 8. Suppose 5*r = -f - 16, -2*r = -3*f - 0*f + 3. Let d be -2*(-3 - -1)\/6. What is the nearest to d in v, r, 2\/19?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s = -4*i - 4*s + 2568, -5*i + 4*s + 3174 = 0. Suppose i = 5*q - 1157. List the prime factors of q.\nAnswer: 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/((-20)\/5*2\/4).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -49*t**2 - 8*t**3 - 2*t**3 - 29*t**2 + 16*t**3 + t - 4*t**3 to i + d*t**3 + j*t**2 + o*t and give o.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*sqrt(20))**2 - sqrt(50)\/(sqrt(30)\/sqrt(3))) + ((sqrt(160)*3 - sqrt(160))\/sqrt(4))\/sqrt(8).\nAnswer: sqrt(5) + 720","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/2? (a) 116 (b) 0.2 (c) -118 (d) -0.3 (e) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = a. Let b(j) = -2*j + 4. Let r be (1 - 3\/2)*(221 + -223). Calculate r*b(n) - i(n).\nAnswer: -3*n + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g + 0*g = 0. Suppose -3*s + 3*h = 7*h, g = -3*s + 5*h. Solve -u - 4*u + 15 = s for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0049303 rounded to 5 dps?\nAnswer: 0.00493","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 11440.42 rounded to the nearest one thousand?\nAnswer: 11000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o - 5 = 0, -2*j - 1 = -4*j - 5*o. Solve -j = k - 0*q - q, -15 = -5*k - q for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) be the first derivative of n**5 + 435*n**4\/4 - 5*n**3 - 1315*n**2\/2 - 870*n + 8986. Determine k so that a(k) = 0.\nAnswer: -87, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 37*i - 25. Let k(q) = 19*q - 13. Calculate -4*h(g) + 7*k(g).\nAnswer: -15*g + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (0 + (-3)\/(-5884))*17\/(1275\/(-710)) and 27\/20.\nAnswer: 29420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a kilometer in centimeters?\nAnswer: 25000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7405, -7643, -7877, -8107, -8333, -8555, -8773?\nAnswer: -8987","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -381 + 330. What is the remainder when (-3972)\/w - (53\/(-17) + 3) is divided by 16?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2972.821 days to seconds.\nAnswer: 256851734.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 841.8187m in micrometers?\nAnswer: 841818700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-218)\/545 - (-34)\/10. Let w(x) be the first derivative of 2\/3*x**d + 0*x + 23\/2*x**2 + 3. Find the second derivative of w(t) wrt t.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.3 + -1.3. Let v = -2 - g. Let i = -59\/3 + 20. Which is the nearest to -0.1? (a) v (b) 4 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -51*v - 129 = -43*v + m, 34 = -2*v - 2*m. Let a(z) = z**3 + 15*z**2 - 19*z - 55. Determine a(v).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 5 - -21352045?\nAnswer: 21352052","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -57 less than -14536680469?\nAnswer: -14536680412","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1.166 - -0.166. Let h be -7 + 3 - (-46)\/12. Which is the smallest value? (a) w (b) -5 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 + -8 + 16 + -13 + -2 - 2?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (189\/2835)\/(8\/(-168)*2).\nAnswer: -7\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 31757 is divided by 10585?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.03, 1, -1, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 87 and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 16 = -m, 0*m + 8 = -n + 3*m. Let q = -65 + 67. What is the nearest to 0 in n, q, -0.6?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -u**3 + 3*u**2 + 2. Let h be c(3). Let k be 14549 + h - (-1 + -2). Suppose 7446 = j - k. Round j to the nearest ten thousand.\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.132005 to 3 decimal places.\nAnswer: -0.132","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 164*o**3 - 986*o**2 + 23*o - 79. Calculate t(6).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 264557\/715 + -4074\/11. Let q = -2\/13 - x. What is the closest to 2 in 0.4, q, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4651 is divided by 1547.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) be the first derivative of 1981*x**2\/2 - 617*x + 2056. What is the first derivative of d(z) wrt z?\nAnswer: 1981","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18656892 to the power of 1\/6, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) be the third derivative of p**4\/8 - p**3\/3 - 6*p**2. Let t be u(2). Let j = t + 2. List the prime factors of j.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + 5*sqrt(128)*-1 + -5 + 1 + -4.\nAnswer: -40*sqrt(2) - 13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven quarters of a millennium in months?\nAnswer: 33000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 greater than -348?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 4*3 - (-8684898)\/(-197344) - -32?\nAnswer: -1\/112","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2\/145*(-1 + 26). Let s = -299\/58 - x. Calculate the common denominator of s and 40\/11.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 332607?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -r - 4. Let w be d(-3). Let m = 2 - w. Let l(h) = -h**3 + 12*h**2 + 5*h - 54. Let v be l(12). Solve -5*s + v = 2*x - 10, 0 = x - m for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1383957, 1383994, 1384031, 1384068, 1384105?\nAnswer: 1384142","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*k + 13 + 2 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -94 + 166. Is 18 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 6390.013mm?\nAnswer: 6390013000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 10212151 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-33)\/(-15) + (-1)\/5. Let a = z + -2. Suppose a*c = -c + 9. Does 9 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 361 - 361 + 14*p**2 + 7133087*p - 7133087*p.\nAnswer: 14*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/4)\/((6958\/(-48))\/(-71)*80\/(-840))?\nAnswer: 18\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -6.8 + 5.8. Let j = d - 1. What is the smallest value in -0.1, 3\/7, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39 = -7*z + 25. Let u be (21\/1)\/(7 - 8 - z). What is the greatest common factor of u and 49?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 58 and 9772.\nAnswer: 566776","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 4, a: 5, q: 3}. Give prob of picking 3 q and 1 f.\nAnswer: 4\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10476520.\nAnswer: 2, 5, 43, 6091","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (-8 - -1) + (-113 - -114)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/4 in -30.7, 173, -0.04?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d + v = 40, 0*d + d = -5*v + 29. Suppose i - d = -2*b + 196, 4*i + 4*b = 816. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 32\/(-6)*(-3)\/2. Suppose 5*z - s + 6 = -2*p, -5*p - 14 = 3*z. Solve -2*n = -2*l - 2, -l = z*n + l + 6 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.29 - -0.07. Let x = 0.03 + -0.15. Let r = s - x. What is the nearest to r in -0.09, 1\/4, 2\/11?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -t**3 - 3*t**2 - 40. Calculate the least common multiple of 153 and m(-6).\nAnswer: 612","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -18 + 22. What is the nearest to -1 in 1, r, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) be the first derivative of o**2 + 1\/3*o**3 + o + 3. Determine q, given that d(q) = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -2*g + 12. Let m be l(9). Let y = m - -14. What are the prime factors of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 196665 and 525?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -128*g**5\/13 - 23456*g**4\/13 - 1462680*g**3\/13 - 32787454*g**2\/13 - 109215352*g\/13 = 0.\nAnswer: -239\/4, -4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2326282 times 0.4?\nAnswer: 0.09305128","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: What is 204 minutes after 9:02 AM?\nAnswer: 12:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(57) - (sqrt(57) - (sqrt(57) + sqrt(285)\/(sqrt(5) + sqrt(10)\/sqrt(2)) + sqrt(57))))*-1*-6)\/(sqrt(1728)*3*-5).\nAnswer: -sqrt(19)\/24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 2632512294?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:45 AM and 7:00 AM?\nAnswer: 255","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 12370, 23683, 34996?\nAnswer: 46309","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*r - 15*r = -27. What is the third derivative of -12*l**3 - 3 - 6 + r - l**2 + 20*l**3 wrt l?\nAnswer: 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -203487*o**6 - 516854*o**2 wrt o.\nAnswer: -24418440*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 - 2 = i. Suppose -q + 7 = -6. Let j(w) = -9*w - 2. Let l(z) = 19*z + 4. Let f(r) = q*j(r) + 6*l(r). Let b(k) = -2*k - 1. Calculate i*f(d) + 8*b(d).\nAnswer: -d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a kilometer in meters?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 159*(168\/(-18) + 11) is divided by 82.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 5, a: 7}. What is prob of picking 4 a?\nAnswer: 7\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -22 divided by 1?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 13 + -12.8. Let r = 54 - 58. Sort k, r, 2\/11 in decreasing order.\nAnswer: k, 2\/11, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 2 l when three letters picked without replacement from {w: 1, l: 2, f: 1, e: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) 2 (b) -3\/7 (c) 1257 (d) 35.9 (e) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11, 5, 196, -55 in descending order.\nAnswer: 196, 5, -11, -55","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = f**3 - f**2 - f. Suppose -6*v + 80 = 56. Let h(l) = -2 + 4*l - 3*l**3 + 5*l**2 - 2 + 6. What is v*r(j) + h(j)?\nAnswer: j**3 + j**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -16a16 (base 12) in base 14?\nAnswer: -bc1c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -45 + 406\/9. Let x(a) be the first derivative of -j*a**3 - 1 - 1\/6*a**2 + 2\/3*a. What is m in x(m) = 0?\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 23774090 to the power of 1\/3, to the nearest integer?\nAnswer: 288","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 55578571 and 959.\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((w*((w\/(w\/(w\/w**(-21))))\/w)\/w)\/w*w\/w**4)**(24\/7))**(-17))**(-37) assuming w is positive.\nAnswer: w**(256632\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 1. Let v(x) = -3*x - 640 - 726 + 1361. Give 3*t(y) + v(y).\nAnswer: -3*y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*a - 4*p - 30, -3*a - 3*p = -32 + 5. Suppose a = -3*j + 8. Let r be (1\/(-3))\/(1\/j). Are 0 and r equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 7*d = 10. Suppose -5*x + 2 = 3*c - d, -3*x - 28 = -2*c. Solve o + 0*o + 2*g = -c, -2*o - 18 = 5*g for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3700 and 3503925?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 34\/1971 and -7\/4.\nAnswer: 7884","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 3*o = -105. Suppose 5*i + o = 5*p, i + i = 4*p - 78. What is the units digit of -5*(-2)\/(20\/p)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -4*n - 5*y, -6*n - 8 = -2*n - y. Let k be n\/28 - 8\/(-28). Sort k, 0, 2\/15 in descending order.\nAnswer: k, 2\/15, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 4*a = -2, 0 = 4*a - 37 + 17. Suppose -b*w - g + 16 = -8*w, 0 = -w - 2*g + 7. Solve d + 0 = -2*q - 5, w*q = d - 9 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.5 (b) 0.6 (c) -2\/13 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 56 - 26. Let h be 18*a\/(-3) + -4. What is the units digit of (24\/16)\/((-6)\/h)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange c - c**3 + c + 2*c**4 - 5*c - 6*c to h*c**3 + g + w*c**2 + d*c + l*c**4 and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*w = 23*w + 43. Suppose -k = 3*k + 100. Let y = k + w. Calculate the greatest common factor of 6 and y.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 1 p when two letters picked without replacement from pmjxlxtp?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Are -132\/127 and 0.4 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -1230.6 times -4\nAnswer: 4922.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 13*u**2 - 5*u + 5. Let r(a) = 34*a**2 - 18*a**2 - 22*a**2 - 3 + 1 + 2*a + 0*a. What is 2*b(i) + 5*r(i)?\nAnswer: -4*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 174 and 4.\nAnswer: 348","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1b9d49b + 4?\nAnswer: 1b9d4a1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1507*t**2 - 740*t**2 - 768*t**2.\nAnswer: -t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 149.958265 rounded to two dps?\nAnswer: 149.96","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 19817812 and 368?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 24*j - 166. Let d be b(7). What is n in 51 + 55 + 108*n + 829*n**d + 1350*n**3 + 625*n**4 - 102 = 0?\nAnswer: -1, -2\/25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33446291 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) be the first derivative of 5*r**6\/6 + 2*r**5 + 5*r**4\/4 + 13. Factor j(z).\nAnswer: 5*z**3*(z + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 572599?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 668 and 260919798.\nAnswer: 334","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -i**3 - 3*i**2 + 6*i + 7. Let f be l(-4). Let r be (f + -2 + 1)*(-11 - -5). Calculate the highest common divisor of 96 and r.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -3*f**2 - 226*f - 5*f**2 + 233*f. Let v(i) = i**2. Determine v(m(l)).\nAnswer: 64*l**4 - 112*l**3 + 49*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11330 is divided by 176?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 30609110\/209 != 146454?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 + (-1 - -3) + (-52 - -55)?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3\/19 + -31\/76. Let w = -0.7 + 2.7. Let c(q) = -q**3 - 1. Let z be c(-1). What is the closest to z in -0.4, j, w?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c - c = 8. Put 1, -6, c in ascending order.\nAnswer: -6, c, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.5 (b) -0.2 (c) 4 (d) -0.16\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -16, -2\/3, 83\/8, -0.18, 0.01?\nAnswer: -0.18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -6*((-30)\/5 - -12 - (-3162)\/(-36)). Solve 488*k = c*k - 3 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y + 3*t = -19, 1290*t - 650*t = -43*y + 641*t + 181 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + 1 + 6*(((-2 + sqrt(343) + sqrt(343))*-3 - sqrt(343)) + sqrt(343) + ((sqrt(343) - (sqrt(343) + 0)) + 4 - sqrt(343)))*6)**2.\nAnswer: -1263024*sqrt(7) + 21910036","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2334569 is divided by 408.\nAnswer: 401","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1\/3 (b) 0.19 (c) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 357130 rounded to the nearest 10000?\nAnswer: 360000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (-10)\/(-4)*(-20)\/10\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v, 1 m, and 1 k when three letters picked without replacement from {k: 3, m: 5, v: 5, w: 2}.\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = 5*r - 189, -n + r + 252 = 3*n. Let a = 123 - n. Calculate the greatest common factor of a and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 105?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -5 - 101352124?\nAnswer: -101352133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -2112490, -4224837, -6337184, -8449531?\n\"Answer: -2112347*m - 143","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -g**2 + 124*g + 1627. What is u(136)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 65006507 to the nearest integer?\nAnswer: 402","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*a + z + 87, -4*z = 7*a - 2*a + 93. Sort a, -4, -1\/2.\nAnswer: a, -4, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 731 + -724. Suppose 54 = 10*n - u*n. What is the smallest common multiple of 10 and n?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 0 + (-2 + 2 - 1) - -13. Calculate the greatest common divisor of 52 and m.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0029216 rounded to 4 decimal places?\nAnswer: -0.0029","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 337 is divided by 118.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = h**3 + h**2 - h. Let n(c) = 4*c**3 - c - 1 - 390*c**2 + 788*c**2 - 395*c**2 - 3. Calculate n(r) - 3*q(r).\nAnswer: r**3 + 2*r - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*z - 3*z + 0*z)*(0 - 2 + 3)*(2*z + 0*z + 0*z)*(-393*z**2 + 776 - 776) as l*z**4 + x + m*z**3 + g*z + n*z**2 and give l.\nAnswer: -786","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5 - 1. Let g(l) be the second derivative of -1\/6*l**o + 0*l**2 + 2*l - 1\/6*l**3 + 0. Find the second derivative of g(m) wrt m.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 8100 and 150.\nAnswer: 8100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 126 + -81. Calculate the remainder when d is divided by (270\/(-450))\/(1\/(-20)*1).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00362662 to 4 decimal places.\nAnswer: 0.0036","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.41*0.1.\nAnswer: -0.041","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/(p**(-2\/39)*p)*p*p\/p**33)**41 assuming p is positive.\nAnswer: p**(-49487\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000051144 to six decimal places.\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b*b\/b**(-19)*b)\/(b*b*(b\/((b**(1\/20)*b)\/b))\/b))**(-2\/73))**(-1\/10) assuming b is positive.\nAnswer: b**(401\/7300)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 3 = -12. Suppose -k*g + a - 22 = g, g = -2*a - 10. Let y be 36 + 6\/5*15\/g. What is the greatest common divisor of 22 and y?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1634700 divided by -4?\nAnswer: 408675","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -y**4 + 458*y**3 - 68328*y**2 + 3066336*y + 37964160.\nAnswer: -(y - 156)**3*(y + 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 7.11 - 7.51. Which is the third biggest value? (a) l (b) -1\/4 (c) -2\/11 (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/50 + (-112)\/(-1100)?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6 - -1 - 11 - 20) + -7?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-16)\/(-24)*(-6)\/14. Suppose -z - 4*f = -5*z + 32, 3*f = -2*z - 4. What is the smallest value in 0.3, p, z?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:24 PM and 12:49 AM?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 351 and 104?\nAnswer: 2808","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 10504 - 8968. Calculate the least common multiple of 132 and t.\nAnswer: 16896","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -20133?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18967 is divided by 229?\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -110101 (base 2) in base 14?\nAnswer: -3b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*i - 6*i - 6*i + 5*i - 2*i - 4*i + (6 - 2 - 3)*(4*i - 4*i - 2*i) + 3*i + 0*i - 2*i - 5*i + 5*i - i + 11*i - 7*i - 22*i in the form g + j*i and give j.\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4669572?\nAnswer: 2, 3, 41, 9491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -632*k**3*l - 2*k**2*l**2 - 902*l**2 wrt k.\nAnswer: -1896*k**2*l - 4*k*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*m**5 - 2920*m**4 - 23120*m**3 - 46080*m**2.\nAnswer: -5*m**2*(m + 4)**2*(m + 576)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 5) in base 8?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.1968, -4\/11, -5, -0.1, -0.4?\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 51.46 - 51. Let j = -0.04 - v. Let x = 0.049 + -3.049. What is the third smallest value in x, j, -5?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 17 = -5*l, -4*w + 22 = -2*l + 4*l. Suppose -6 = -4*m + w. What is the units digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by 585519.\nAnswer: 4\/585519","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 9, 5, 1, -3?\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -10*q**2 - 2*q. Let a(i) = -11*i**2. What is t(a(r))?\nAnswer: -1210*r**4 + 22*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 315*m**2 + 2*m - 5. Is f(2) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 336103 - 5?\nAnswer: 3360ed","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) be the third derivative of -t**5\/12 - 4*t**2 + t. Let s(r) = 7*r + 4. Let v(g) = g - 7*g + 21*g + 9. Let y(a) = -9*s(a) + 4*v(a). Calculate z(y(c)).\nAnswer: -45*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 21 + -21. Let h be (5 - a)\/(0 - -1). Solve p - 1 = -h for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find b, given that 2\/5 + 8\/5*b**3 - 14\/5*b**2 + 4\/5*b = 0.\nAnswer: -1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xxox when four letters picked without replacement from xooooxoooox?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2939624?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.787748652 + -456193.\nAnswer: -456192.212251348","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -78c8468 - 1?\nAnswer: -78c8469","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Add together -1276.311 and -808.06.\nAnswer: -2084.371","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r when two letters picked without replacement from {c: 13, r: 3}?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -590891 rounded to the nearest one hundred thousand?\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 32565\/15197*140\/(-18)*3\/(-2)?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-d - 3*d + 3*d + (2 + 0 + 0)*(0 + 0 - d))*(-2*d**3 - d + d) - 25*d**4 - 48*d**4 + 26*d**4 to k*d + i*d**3 + o*d**2 + n*d**4 + j and give n.\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -3*n**2 + 45*n + 230. Calculate the remainder when 843 is divided by d(14).\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-11)\/(-66)*(-8)\/(-6). Is h greater than or equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = l**2 - 19*l - 98. Let s be a(25). Suppose 0 = 2*r - 32 - 32. Let g = s - r. Calculate the remainder when g is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -4*d**2 + d. Let q(s) = 3*s**2 - s. Let x(b) = 3*q(b) + 2*t(b). Let k be x(0). What is the units digit of 1 + k\/(-2) + 10?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2628 - 2335 = -580*x + 257 for x.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -2*j**2. Let w be 4\/(-12)*-1*9. Let p(m) be the second derivative of 0 + 0*m**2 - 2*m + 0*m**w - 1\/3*m**4. What is k(p(f))?\nAnswer: -32*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 10 - 8.2. Let y = -0.2 - o. Let i = y - -3. Which is the second biggest value? (a) -0.3 (b) i (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 119636 and 59620?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/15*(-105)\/(-3).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 9*o + 9*o**2 + 0*o**2 - 30 + o**3 + 22. Let l(b) = 2*b**3 + 19*b**2 + 19*b - 17. Let k(a) = 5*i(a) - 2*l(a). Give k(-6).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -0.3, -3, -1722?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3153.\nAnswer: 3, 1051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -467 + 1637 = 90*j for j.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.05 - -0.1. Let t = f - 0.05. Which is the third smallest value? (a) -0.2 (b) 3\/7 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -2598.28753 and 2.\nAnswer: -2596.28753","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find r such that -2*r**3\/5 - 518*r**2\/5 + 7178*r + 38430 = 0.\nAnswer: -315, -5, 61","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 3893\/3 > 1297?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 20 - 19.999996. What is z rounded to 5 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/(-6))\/(8\/60).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = b. Let w(t) = 8893*t**2 + t + 2. Give l(w(z)).\nAnswer: 8893*z**2 + z + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(539)*2*6 + -1*sqrt(539)*-2)*2 + -4*-4*(-3 + -1 + sqrt(539)))**2.\nAnswer: -39424*sqrt(11) + 1047600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*o + 26445 = 26535 for o.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 1500*p - 5331 wrt p.\nAnswer: 1500","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -871 - -2205. What is the thousands digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*r**2 + r**2 - 3*r**2 + (-2*r + 1 - 1)*(4*r + 0*r - 2*r) - 183 + 188 + 11*r**2 + 12*r**2.\nAnswer: 17*r**2 + 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -w + n, 2*w - 51 = -3*w - n. Let z(i) = 7*i**2 + 2*i + 0*i - 4 + 3. What is the smallest common multiple of z(1) and w?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -59*j - 334. Calculate the least common multiple of (-9)\/12 + ((-310)\/8)\/(-5) and s(-6).\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1722 + -1726. Suppose 9 = z + 3*k - 2*k, -z - 5*k + 25 = 0. Let v = 10 - 6. Sort z, v, b in decreasing order.\nAnswer: z, v, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2712698467 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -520, -165, 180, 509, 816, 1095, 1340?\n\"Answer: -l**3 + l**2 + 359*l - 879","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15\/(135\/(-48))*15\/10.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 79\/42420027 and -151\/579462?\nAnswer: 1442280918","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(-2\/13)*y*y\/(y*y**(2\/27)*y) assuming y is positive.\nAnswer: y**(-80\/351)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 354 = -2*n - 0*l, 4*n - l = 693. Let k = -121 + n. Suppose -27 + k = 2*z. List the prime factors of z.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-5)\/(-2)*24\/20. Suppose 4*i - 42 = -5*p, -5*i - c = -3*p - 37. Solve j - 4 = -i for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 2781, 5679, 8625, 11619, 14661?\n\"Answer: 24*b**2 + 2826*b - 69","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0 - 2. Let z be w\/(1 - (-10)\/(-6)). Suppose 2 = 3*s - 4. Which is the second biggest value? (a) s (b) z (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = -2*d + 6. Suppose -2*k + t = -7, 5*k - d*t - 13 = -4*t. What is the units digit of 7\/(-2)*(1 - k)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 159 = 2*p - 61. Is p a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -20? (a) 32 (b) -7 (c) 1217\/52\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -2*i**3 - 8*i**2 + 11*i + 53. Calculate f(-4).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s - 90 = -l, 2*l = 2*s + 12823 - 12891 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6150, 5, -1, -139, -3 in increasing order.\nAnswer: -6150, -139, -3, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 6\/(-80)*((-2)\/(-21))\/(66\/1155*-7)\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine n, given that -2*n**2\/11 + 1152\/11 = 0.\nAnswer: -24, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.1 (b) 42 (c) 75 (d) 1\/439\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -14, -2, 1, -391060 in descending order.\nAnswer: 1, -2, -14, -391060","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-7\/6))**(-1\/40)*(d**(-2\/23))**18 assuming d is positive.\nAnswer: d**(-8479\/5520)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, 3, 1292, 4, -1 in increasing order.\nAnswer: -1, 3, 4, 6, 1292","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 39604183 and 46?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 14 (base 10) to base 9.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 38190749 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 8*o**3 - 11*o. Let j(a) be the first derivative of 2*a**2 + 0*a - 1 - 3\/4*a**4 + 0*a**3. Let h(s) = -s. Let i be h(4). What is i*c(v) - 11*j(v)?\nAnswer: v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 246*g**2 - 80984. Let r(s) = -s**2. Give l(r(f)).\nAnswer: 246*f**4 - 80984","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 2*b**3 + 2*b**2 + 85*b - 399. Calculate s(5).\nAnswer: 326","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) be the third derivative of -5*p**4\/24 + 3*p**2 - 84. Let c(s) = -8*s. Give c(a(q)).\nAnswer: 40*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2046 is divided by 50?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1972 - -3251. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1193100*n**2*r**3*u**3 + 39*n**2*r**2*u**2 - 170788*n**2*u**3 + 11*n*r**3*u**3 + 2*r**2*u wrt r?\nAnswer: 7158600*n**2*u**3 + 66*n*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = v**3 - 39*v**2 - 2*v + 77. Let a = -360 - -399. Let u be t(a). Are 1\/349 and u non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -19\/87950?\nAnswer: -19\/87950","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 1 l when two letters picked without replacement from llnqffqqffl.\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 40, 78, 114, 148, 180?\n\"Answer: -t**2 + 41*t","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1dbe4 (base 15) to base 8.\nAnswer: -275645","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -143024 - 284218 = -30*k - 103872. List the prime factors of k.\nAnswer: 3, 3593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 89978 is divided by 22.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 452 a factor of 664892?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 14, y: 4}. Give prob of picking 1 y and 1 e.\nAnswer: 56\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide -30299132 by 4.\nAnswer: -7574783","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 759 - 766. Put 2, 3, l, 6 in descending order.\nAnswer: 6, 3, 2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -4*r**2 + 4*r + 229. Give u(8).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 3*g**2 - 4*g - 27. Suppose -12*s = -15*s - 12. Let p = 6 - -4. What is the remainder when y(s) is divided by p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) be the second derivative of -8*o + 0 + 1\/180*o**5 - 1\/1620*o**6 + 0*o**2 + 0*o**4 - 2\/3*o**3. Let t(a) be the second derivative of p(a). Factor t(r).\nAnswer: -2*r*(r - 3)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8488.8027 microseconds to weeks.\nAnswer: 0.00000001403571875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 6*v - 9. Let q(l) = 12*l - 19. What is 13*p(n) - 6*q(n)?\nAnswer: 6*n - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7807?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*x + 0*x + 2*x**2)*(3*x + x - 3*x) + x - 231*x**2 + 2*x**3 + 231*x**2.\nAnswer: 4*x**3 + x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 10356.3 and 57.\nAnswer: 590309.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -4, 15, 46, 89, 144?\n\"Answer: 6*b**2 + b - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l + 172 = 58*l - 44 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-4 + 1)*(-2)\/6. Let s be -2*(x + 2 + 20). Let h be (s\/6)\/(2\/240). Round h to the nearest one hundred.\nAnswer: -900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -739*w - 1350 = -789*w for w.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 31 and 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 388 minutes before 7:34 PM?\nAnswer: 1:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 4*3*2\/(-12). Let b = 0.06 + -0.02. Let d = b - 0.06. What is the third biggest value in -4, d, c?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -70185.7 times -154\nAnswer: 10808597.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 24 - 16. Let w = 165.1 - 165. What is the fourth biggest value in w, 0.4, x, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that -8*y**5\/7 + 24182*y**4 - 1564952*y**3\/7 - 447162*y**2 - 1395900*y\/7 = 0.\nAnswer: -1, -3\/4, 0, 11, 21150","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 + 17 + (-1207)\/136?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 0 + 2\/(2\/3). Let d(s) = -s**2 + 4*s + 2. Let l be d(4). Let k(x) = -8*x - 40. Let q be k(-5). Solve 2*m = l*r + 14, q = m + 5*r + p + 8 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19 = -4*v + 9*c, -4*v - 5*c - 30 + 53 = 0 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aclaalaymmaalamcaa. What is prob of picking 2 a and 1 c?\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yjzzyzzzzzjzzyyz. Give prob of sequence jyj.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 3\/5 of a century?\nAnswer: 720","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 18, m: 2}. Give prob of picking 1 q and 1 m.\nAnswer: 18\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 715642?\nAnswer: 2, 179, 1999","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -169\/76 + -10\/19. Calculate the common denominator of -133\/12 and z.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 4*l**2 - 5*l + 7. Let q be (-1 + 0 + 4)\/(18\/(-12)). Let c(m) = m**2 - m + 2. Determine q*j(y) + 9*c(y).\nAnswer: y**2 + y + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -17 + 12 + 5 + 158*x**2 as s + z*x**2 + i*x and give z.\nAnswer: 158","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-428 + 1607 - 829 - 403 - 932)*(-3*s - 2*s**2 + 3*s).\nAnswer: 1970*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -8*u + 42. Solve -5*y + 5*m - 5 = 0, 4*m + 0 = -u*y + 4 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 14\/23337 or -1?\nAnswer: 14\/23337","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m**(2\/11)*m)\/m)**(-1\/66)*m**18*m**(5\/7)\/m assuming m is positive.\nAnswer: m**(89933\/5082)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0004676576 rounded to six dps?\nAnswer: -0.000468","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 2 y when three letters picked without replacement from wymyywy?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-3)\/(-10) - (-1139336)\/880.\nAnswer: 5, 7, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 54*t + 107 + 109 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a - 2*v = 93 - 87, -2*a + 4*v = 18 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -757, -3022, -6797, -12082?\n\"Answer: -755*f**2 - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -49 + 36. Let g = -12.993 - k. Let c = g + 0.0006. Round c to 3 dps.\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -137 + 143. Let k be ((-750)\/9)\/(l + 846726\/(-141120)). What is k rounded to the nearest 100000?\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*x = -13*x - 32*x + 747921. What is the units digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 - (0 - 6 - 6) - (1 - (-4 + 6))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -3*w**2 - 8*w - 4. Let t(f) = -2*f**2 - 5*f - 3. Let i = 737 + -636. Suppose 146 - i = -9*d. Give d*s(o) + 7*t(o).\nAnswer: o**2 + 5*o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 7 - -26. Let i = v + -29. Suppose -c = -0 + 1. Put 2, i, c in descending order.\nAnswer: i, 2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zmusuumusuwumuruuzwu. Give prob of picking 1 w and 1 z.\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 763 + -756. Suppose u - 4*r = -4, 3*r = c*u - 3*u - 10. Solve 3*l = 5*b - 3, l + 2 = u*b + 1 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 291 at most -0.158?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -21.2 - -22. Which is smaller: k or -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9 - (17 + -6 - 10)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 48280369 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 8, 11, 4, 2 in decreasing order.\nAnswer: 11, 8, 4, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) be the second derivative of 5\/2*j**2 - 2 - 90*j + 9\/2*j**4 + 0*j**3. Let o(g) = g**2. Give a(o(r)).\nAnswer: 54*r**4 + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 647179 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 7\/(28\/8)*1. Suppose 3*a = -z + 20. Solve 4*f - 7 = 5*g, -g + a = -4*f + 1 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -11*b - 10*b + 22*b - 62 to the form d*b + r and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*l - 2*l + 2*l)*(-l - 3 + 3)*(-113*l + l**3 + 11 - 104*l + 215*l).\nAnswer: 2*l**5 - 4*l**3 + 22*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.93 less than -432892?\nAnswer: -432892.93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -b**3 + 7*b**2 + 7*b - 6. Suppose 10 = 4*y - 14. Let n be q(y). What is the greatest common divisor of 9 and n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 820491345?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = d**3 + 12*d**2 - 794*d + 56. What is the hundreds digit of i(-24)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 2*a = -1736, -15 = 4*r + a - 3507. Suppose 5*v + r = 12307. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fsof when four letters picked without replacement from {t: 2, o: 1, s: 2, f: 2, h: 1}?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) be the third derivative of -z**4\/12 - 8*z**2. Let a(v) = v**2. Determine a(l(k)).\nAnswer: 4*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1846 and 284?\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -608, -1092, -1450, -1682?\n\"Answer: 63*h**2 - 673*h + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = v**2 + v + 1. Let i(q) = q**2 + 2*q + 2. Let m(z) = -6*a(z) + 3*i(z). Let o(y) = -2*y - 106. Calculate o(m(k)).\nAnswer: 6*k**2 - 106","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 3295621?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1249 is divided by 21?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 7ba (base 14) to base 12\nAnswer: a80","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -415 + 423. Solve 0 = -12*a + y*a + 16 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = m + 5*n - 276719, 7*n = -2*m + 2*n + 553398. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q - 60 = -10*q. Suppose 4*s - 8 = q. Suppose -s*j - 4*a = 34516, a - 3*a - 20708 = 3*j. Round j to the nearest one thousand.\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 34661 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*b - 38 + 7*b + 20 + 22 - 3*b.\nAnswer: 14*b + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*f + 386 + 164 = 0. Let c be (11 - 2)*(-20)\/4. Let t = c - f. Calculate the remainder when 45 is divided by t.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j\/((j*j**(-1\/6))\/j)*((j**(-20)*j)\/j*j)\/j assuming j is positive.\nAnswer: j**(-113\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 4 - 2*l)*((1 - l - 1)*(0 - 4 + 3) + (3*l - 162 + 162)*(38 + 96 + 5))*(2*l + 0 + 0).\nAnswer: -1672*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 157114 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: b\"What is the tth term of -10341229, -20682456, -31023683, -41364910?\n\"Answer: -10341227*t - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 5427536 a multiple of 67?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -35 + 34.8. What is the second biggest value in 0, n, -1, 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4624\/5 - 132\/5*m**2 - 2\/5*m**3 - 408*m.\nAnswer: -2*(m - 2)*(m + 34)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 2043*c**2 - 216*c - 2. Let d be s(2). Calculate the highest common factor of d and 106.\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*w + 9*w = -12. List the prime factors of w*(36\/8)\/(-9) + 37.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 635.\nAnswer: 5, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 24.36, 3, -269?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (7*(-2)\/(-42))\/(-1).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*b + 2880 = 16*b. Suppose -d + 13*d = b. What is the highest common factor of d and 72?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1923, -1\/39, 1902, -1, 1 in decreasing order.\nAnswer: 1902, 1, -1\/39, -1, -1923","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:09 PM and 7:25 AM?\nAnswer: 556","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27*x**3 - 85*x**3 + 26*x**3 + 27*x**3.\nAnswer: -5*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -506 + 627. What are the prime factors of m?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -41747, -41714, -41665, -41594, -41495, -41362, -41189, -40970?\n\"Answer: v**3 + 2*v**2 + 20*v - 41770","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 57 (base 9) to base 14\nAnswer: 3a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s = -6566060 - 3222456. Suppose -3*z - s = 2202871. What is z rounded to the nearest 1000000?\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 7 - 9. Let a be 97329\/48*n + -1. Let d = -4047 - a. Calculate the common denominator of d and 44.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4593?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 689 + 167*t**3 + 438 - 338*t**3 + 61*t**3 wrt t.\nAnswer: -330*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1280 (base 10) to base 8\nAnswer: -2400","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 5*p + 46 + 9*p - 2*p + 79 + 5*p. Let t be y(0). What is the greatest common factor of 325 and t?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a - 2*x = 9, 8*a + 4*x = 4*a - 8 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.001961314681 to four dps.\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 10, k: 4}. What is prob of picking 2 k and 1 v?\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_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: What is -80690352 divided by 40345176?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(833) - 6*(sqrt(833) + sqrt(833) + 1))*4)**2 + (sqrt(102)\/(sqrt(48)\/(sqrt(8) - (sqrt(8) + sqrt(288)))))**2 + -3.\nAnswer: 14784*sqrt(17) + 1613873","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*c - 6*c + 20, -1 = -3*s + c. Solve o = -s*o - 3, -o + 3 = -m for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (3 - (-295)\/(-90))\/(5\/4). What is the nearest to z in 5, -6, -10?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/(u\/u**(-2\/7)))**(-6)*(u*u*u**(-1))**(5\/8) assuming u is positive.\nAnswer: u**(131\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15546.\nAnswer: 2, 3, 2591","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 702 and 390.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 62\/51219 and 79\/13812057?\nAnswer: 41436171","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 20\/8*66\/15. Suppose -6*p + p + 60 = 0. Suppose 4*y - p = 3*y. Which is bigger: y or c?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 54538637 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000002193329 to 7 decimal places.\nAnswer: -0.0000022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3032 is divided by (120\/16 - 8)*(-148)\/2.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -9*r**2 - 17*r - 11. Let x(y) be the third derivative of y**5\/15 + y**4\/3 + 5*y**3\/6 - y**2. Give -6*i(t) - 13*x(t).\nAnswer: 2*t**2 - 2*t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*k - 7*k - 7*k + (0*k + 0*k + 2*k)*(-4 + 5 - 3))*((4*k**3 + 0*k**3 - 6*k**3)*(24*k - 13*k + 11*k) + 4*k**4 - 5*k**4 - k**4).\nAnswer: 920*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -x**2 - x + 6. Let c be h(4). Let r be (-1 + c\/(-10))*(-4 + -6). List the prime factors of 1\/r + (-72)\/(-32).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-a + 0*a + 0*a)*(0 - 2*a + 0)*(46 - 59 - 89)*(a**3 + 3*a**3 - 7*a**3 + (-1 + 1 - 2)*(-2*a + 2*a - a**3)).\nAnswer: 204*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 25*((-4)\/(-18)*-3)\/(1542\/2313)?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 285*q - 464 - 11 - 380. Which is the nearest to 33? (a) q (b) 1\/2 (c) 4 (d) -4\/19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 10987170?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*q + 4*m + m - 50, -m = 3*q - 20. Let c be 3425\/(-45) + q\/(90\/(-4)). Let s = c - -77. What is the third smallest value in s, -4, -2?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -g - 9. Suppose -60 = 30*k + 240. What is n(k)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-1\/5)*q*q**1*q\/(q*q*q*q\/q**(1\/5)*q)*q\/(q**0\/q))**(-8) assuming q is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3354603 rounded to 4 decimal places?\nAnswer: -0.3355","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -24, -51, -88, -141, -216, -319, -456, -633?\n\"Answer: -g**3 + g**2 - 23*g - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1710809?\nAnswer: 23, 74383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o - 10 = 2*i - 3*i, 5*i = o + 2. Let z(h) = -h**3 - h**2 - h + 3. Calculate the remainder when 9 is divided by z(i).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 3 and -0.078?\nAnswer: 3.078","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 93, -5, -16, -2 in ascending order.\nAnswer: -16, -5, -2, 93","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 47*v - v**3 - 92*v + v**2 + 45*v. Determine w(0).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1153, 1148, 1141, 1132, 1121, 1108?\nAnswer: 1093","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000011344 rounded to six dps?\nAnswer: 0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.01? (a) 12 (b) 43 (c) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -70 + 50. Let q = j + 33. Let c = -13.000016 + q. Round c to 5 decimal places.\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.39538 - -0.6228. Round j to three decimal places.\nAnswer: 0.227","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = u**3 + 45*u**2 - 27*u - 160. Let x be r(-44). Suppose -x*b = -2971*b + 14. What is the remainder when 10 is divided by b?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 128 is divided by 2 + 75\/(-40) - (-7020)\/160.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = h**2 - 5*h - 13. Let b be q(7). Let g be ((-8)\/(-60)*5)\/(b\/9). Solve -2 = -r - g for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/(-10)*(-4)\/27?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*n + 9 - 39 = 0 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 9 = -5*d, -4*n + 5*d - 8 + 22 = 0. Let w = 4 - 5. Let m(c) = c**3 - 8*c**2 + 11*c - 24. Let s be m(7). Sort n, w, s.\nAnswer: w, n, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 3*r**2 + 7*r + 9. Suppose 2*m = 3*m + 3*w, -2*w = 2*m - 12. Let z be g(m). What is the highest common factor of z and 45?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -11017 + 11017 + 3341*n**2 + (-2*n + 4*n + 0*n)*(-1 - 2*n + 1) to the form x*n + z*n**2 + r and give z.\nAnswer: 3337","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -12 - -25. Suppose 2*h - w = -1. Let n(i) = i**3 - 6*i**2 + 4. Let s be n(h). Solve s*p = p - 12 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (17\/3 + -1)\/(22\/726). Suppose 3*s = 5*s + 110. Let d be 2\/10*-2*s. What is the highest common factor of d and g?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 2328 = -5*o, 56*o = 3*i + 59*o - 3471. List the prime factors of i.\nAnswer: 19, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -15 + 23. Let x(w) = -w**3 + 7*w**2 + 8*w - 1. Let z be x(r). Sort z, 5, 0, -4 in decreasing order.\nAnswer: 5, 0, z, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 377822 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/50 of a litre in millilitres?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*m**5 - 68*m**4 - 50*m**3 - 4*m**2 = 0.\nAnswer: -2, -1, -1\/11, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide -42870 by -4.\nAnswer: 21435\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -97.18949024 to one dp.\nAnswer: -97.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1\/5 (b) 7 (c) -2 (d) 4 (e) 262 (f) -4 (g) -5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: What is -1012 (base 3) in base 4?\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 982 + -983.181. Round r to one decimal place.\nAnswer: -1.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 278505681?\nAnswer: 3, 2797, 33191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1652 in -1\/3, -0.77, 0?\nAnswer: -0.77","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*b - 3*b - 60. Let r = b + 22. Suppose 32 = 4*p - 0*p. Calculate the lowest common multiple of r and p.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-30)\/4*64\/80. Calculate the remainder when 65 is divided by 36 + (-4)\/w*-3.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3220?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(sqrt(104)\/(sqrt(2)*2*4) + 3).\nAnswer: sqrt(13)\/2 + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -371 = -3*f - 4*n, f = -2*f - 5*n + 376. What is the greatest common divisor of f and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 26020 to the nearest one thousand.\nAnswer: 26000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(567)*1 + sqrt(567)) - sqrt(567))**2.\nAnswer: 95823","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 35 + -24. Let m = 0.657692 - 0.257692. Which is bigger: t or m?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) be the third derivative of r**5\/15 - 29*r**4\/24 - 6*r**2 + 1. Let k(u) = u**2. Give k(v(a)).\nAnswer: 16*a**4 - 232*a**3 + 841*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3 - 3 - 3*w**2 + (-2*w + 0*w + 3*w)*(3*w - 6*w + 4*w) + (0 + 0 + 2*w)*(-2 + 3*w + 2) - 5*w**2 + 5*w**2 - 2*w**2 + (2*w + 4*w - 5*w)*(2*w - 3*w + 2*w).\nAnswer: 3*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a - 3*a = 0. Suppose -5*n - c - c - 2 = a, -4 = 4*n + 4*c. Suppose -2*h + 4*d + 70 = n, 2*h = 3*d + 2 + 70. Is 12 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 40095?\nAnswer: 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*y**3 + 3*y**3 + y**3)*(-4*y - 10 + 10) + 5410*y**2 - 79*y**4 - 5410*y**2.\nAnswer: -67*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide -35446453 by -13649.\nAnswer: 2597","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 268*s + 1347. Let g be n(-5). Solve 0 = -g*x + 21 - 56 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -183*z + 3*z**4 + 80*z + 4 + 10*z**2 + 106*z to f + m*z**4 + i*z**2 + x*z**3 + y*z and give m.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1004572?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2034050*f**5 - f**2 + 2058*f + 46?\nAnswer: 122043000*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -185.8 + 2.8. Let o = r - -283. Let w = 100.0000072 - o. What is w rounded to 6 decimal places?\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express s - 6*s - s + 15*s as x + w*s and give w.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:26 AM and 10:19 AM?\nAnswer: 353","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/3)\/(17\/102).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = l**2 + l + 1. Let x(c) = -4*c**2 - 19*c + 11. Let y(j) = 5*s(j) + x(j). Let p be y(11). Does 11 divide 2 - (-3 - -2) - p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**47*q)**(2\/7) assuming q is positive.\nAnswer: q**(96\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*v - 4*v + 5*v)*(1364 - 724 + 2014 + 653 + 1112).\nAnswer: 4419*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -w**2 + 1. Let n be 10\/3*(-9 - -6). Let k = n + 18. Let t = k - 5. Determine y(t).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -q**3\/4 - 133*q**2\/2 + 267*q\/4.\nAnswer: -q*(q - 1)*(q + 267)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (-7)\/((-70)\/232)*393\/(-131)*10\/12\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 0 - 883*2\/(-2). Suppose -1559 = 8*z + 2489. Let c = z + h. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -21*f + 70. Let p be x(5). Let w = p - -37. Factor 0 - 9\/5*m + 3\/5*m**w.\nAnswer: 3*m*(m - 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1210041 + 23?\nAnswer: 1210114","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2394*j**2 + 565*j**2 + 22658 + 1830*j**2)*(j**2 - j**2 - 2*j**3).\nAnswer: -2*j**5 - 45316*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 10*a**3 - 1915*a**2 + 952*a + 752. Determine u(191).\nAnswer: 179","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000007632550497 rounded to 7 dps?\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -152*p = -524*p + 5208 for p.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 299\/5 + -60. Let w = -4.1 + -0.9. Which is the biggest value? (a) w (b) -2\/7 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*n**4 + 138*n**3 + 2202*n**2 + 3998*n + 1932.\nAnswer: 2*(n + 1)**2*(n + 21)*(n + 46)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12 - (-2 + (4 - -3)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 647 minutes before 3:10 AM?\nAnswer: 4:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 451 rounded to the nearest 10?\nAnswer: 450","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/(z*z**(-1)\/z*z)*z)**(-23))**(-3\/31) assuming z is positive.\nAnswer: z**(138\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w + 9122 = 2*w. Let f = w - 3003. Suppose -477 - f = -5*a. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 85\/2 and ((-4)\/(-368))\/(1240\/(-2263)).\nAnswer: 3680","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 33.75 times -3?\nAnswer: -101.25","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20*(-15)\/(-30)*(-2)\/(-2).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 49441014, 49441013, 49441012, 49441011?\nAnswer: 49441010","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -12, -55, -126, -225, -352, -507, -690?\n\"Answer: -14*s**2 - s + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15764102.\nAnswer: 2, 7882051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f = 4 - 10 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = a**2 - 150019*a - 300036. Determine n(-2).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 210425797.\nAnswer: 3923, 53639","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 29, -5, -1, 5 in descending order.\nAnswer: 29, 5, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -5*s - 6. Let g be h(6). Let v be 1268\/g - (-6)\/27. List the prime factors of ((-110)\/v)\/(1\/7).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -6*z + 10. Let n be 1*-8 + (0 - -9). Let k be a(n). Solve k*w - 2*v - 4 = 0, 0 = 2*v - 0*v + 8 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.03685079331 rounded to 5 dps?\nAnswer: -0.03685","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) be the first derivative of q**3\/3 + 4*q**2 + 10*q - 1. What is the units digit of z(-9)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-91)\/(-21))\/13)\/((-2)\/(-12))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/15? (a) 0.4 (b) 0.2 (c) 0.5 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) be the first derivative of m**2\/2 - 2. Let b(a) be the third derivative of 7*a**4\/12 + 540*a**2. Give p(b(r)).\nAnswer: 14*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1481 - 1482. Put -5, u, 29, 5 in decreasing order.\nAnswer: 29, 5, u, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vqv. Give prob of picking 2 v.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c**(7\/4))\/c*c)**48 assuming c is positive.\nAnswer: c**132","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*j**5\/2 + 65*j**4\/2 - 255*j**3\/2 + 235*j**2\/2 + 130*j - 150 = 0 for j.\nAnswer: -1, 1, 2, 5, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 - 2\/3*t**3 + 56\/3*t**2 - 392\/3*t = 0. What is t?\nAnswer: 0, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find t, given that 5*t**2 - 605*t + 4520 = 0.\nAnswer: 8, 113","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 0.376+12\nAnswer: 12.376","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4310390 to the nearest integer?\nAnswer: 2076","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 54135 is divided by 27034?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:46 PM and 10:24 PM?\nAnswer: 398","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 544 a factor of 13003776?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 11658542 - -0.2698?\nAnswer: 11658542.2698","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2761 + -670925\/243. Let m = t - -739\/1215. Which is the second smallest value? (a) -3 (b) 5 (c) 1 (d) m\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13592 is divided by 47.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -o**2 + 4*o + 2. Let s be u(6). Let y = 21\/2 + s. Let x = 0.4 - 0.3. Sort x, y, 0.2 in increasing order.\nAnswer: x, 0.2, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 1, x: 1, q: 2, u: 1, p: 4}. Give prob of sequence qu.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 42942285 and 2979.\nAnswer: 42942285","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = q. Let g be (4\/(-6))\/((-7)\/294). Let h(s) = 21 + 6*s + 3*s - g. Let x(u) = 8*u - 6. Let t(d) = -6*h(d) + 7*x(d). What is k(t(c))?\nAnswer: 2*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-51)\/(-748))\/(4\/(32\/9))?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -g + 0*g - 18667*g**2 + 18670*g**2 in the form q + f*g + x*g**2 and give x.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -40, 0, 11, 4, 1, -4 in increasing order.\nAnswer: -40, -4, 0, 1, 4, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -12, -38, -102, -222, -416, -702, -1098, -1622?\nAnswer: -2292","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2 (b) 0 (c) -0.06\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -187*u - 369*u - 412*u - 14*u.\nAnswer: -982*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -44*p - 72*p**2 - 37*p + 233*p**2 + 24*p in the form o + i*p + g*p**2 and give g.\nAnswer: 161","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 108609131 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -34369176 divided by -301484.\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 120192\/(-1056) + 118 - (-2)\/(-11)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (0 - -8)*12\/24. List the prime factors of (-5 + 0)*(-12)\/j.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sspp when four letters picked without replacement from {p: 2, s: 5, x: 2}?\nAnswer: 5\/378","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -2*m + 1. Suppose -2*t - 3*o = -13, t + 6 = 2*t + o. Let z(r) = -4 + t + 4 - 8*r. What is 9*p(y) - 2*z(y)?\nAnswer: -2*y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -20095 + -59905. Suppose 0*i - 5*m = -3*i + 45215, -60298 = -4*i + m. Let n be (b\/(-15))\/((-6)\/i). What is n rounded to the nearest one million?\nAnswer: -13000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3814\/123 - -31. Is -3 at most as big as t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) be the third derivative of 0*r**3 + 0*r + 0*r**4 + 6*r**2 + 0 - 1\/60*r**5. Let w(l) = 2 + 2*l**2 - 2. What is v(w(x))?\nAnswer: -4*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sum 88849.33702 and -2.08.\nAnswer: 88847.25702","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -u - 1. Let o be x(-5). Suppose -215 - 309 = -o*b. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 24*g**6*x - 3*g**5*x - 70*g**2 - 2*g*x wrt g?\nAnswer: 2880*g**3*x - 180*g**2*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = 4*m + 27771, -82*j + 87*j - 138957 = 3*m. Is j a multiple of 109?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 855 to the power of 1\/2, to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 658762 and 1352.\nAnswer: 338","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g = 110142*t - 110147*t + 215, -19*g = 95 for t.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.41440872 and 738?\nAnswer: 738.41440872","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 464.5459 years?\nAnswer: 46.45459","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*n + 4 - 4 + (2 + 0 - 1)*(5*n - 2*n - 2*n).\nAnswer: 3*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 2*h + 0*h - 5*h**2 - 2 - 8*h - h**3. Suppose 2*o + 0 - 8 = 0. Suppose 3*s + o*s = -28. Give c(s).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*(sqrt(190) + -1*sqrt(190)*1 + (sqrt(190) - sqrt(190)*-2*-1) + sqrt(190)))\/((sqrt(240)\/sqrt(4)*2)\/(sqrt(36)\/(1*sqrt(6)))) + 1)**2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.8404607 milliseconds to microseconds.\nAnswer: 840.4607","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 32 + (4 - 6) + -8\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) be the third derivative of f**4\/12 - f**2. Suppose -3 + 9 = 3*a. Let y(u) = 0*u**a + 2*u**2 + 2*u**2. Determine y(s(i)).\nAnswer: 16*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 50*s - 52*s = -6 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41*h = 13*h - 196. Let f be 23\/1*(9 - (3 - h)). Is -22 at least as big as f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 746, 0.06, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -396*t + 2. Let z be d(-10). Suppose -3*r - 4*r + z = 0. Let n = -333 + r. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 5*a, -2*k - 2*k - 2*a = 24. Let x(j) = -j**3 - 6*j**2 + 15*j - 6. Let u be x(k). Solve -2*i - u*i = 12 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 2801*q - 12. Suppose 14*h - 5*l = 15*h - 26, -3*h - l = -8. Is s(h) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.799, 0, 16?\nAnswer: 0.799","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = a - 3. Let g = 5617.6 - 5618. What is the closest to -1 in g, 0.2, a?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 78501467 a multiple of 150?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -21 or -23?\nAnswer: -21","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 197091179 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = -6*k - 55. Which is smaller: -80\/7 or k?\nAnswer: -80\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.823727 rounded to one decimal place?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) -1 (b) 4\/5 (c) -605 (d) -0.099\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 729109679 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k = -9 + 18. Let h(l) = 3 - 4*l**k - 1 + 5*l**3 - 2*l + 0 + 3*l**2. Determine h(-3).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -y**3 - 1586*y**2 + 53227*y - 323800.\nAnswer: -(y - 25)*(y - 8)*(y + 1619)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26 = 3*l - 5*k, 6*l + 5*k - 21 + 13 = 0 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5 + 12. Suppose 5*m - q*m + 4 = 0. Suppose 5*z - 15 = -2*k, m*z + k = 5*z - 9. Solve -3*w - w + 19 = z*j, -3*w - j + 8 = 0 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:51 PM and 11:14 PM?\nAnswer: 323","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -411*x + 6169. Determine l(15).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = m**3 + 8*m**2 + 8*m + 4. Suppose -3*w + 1 = -4*l, 2*l - l = 3*w + 11. Let o be i(w). Suppose -607 = -2*v + o. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 2\/3 and -1\/259 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2 - 2 + 1)*(-5 - 2*a + 5) - 7*a + 3*a + 3*a)*(-a + 2 + 10 - 1).\nAnswer: 3*a**2 - 33*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10207 is divided by 73.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1739, 10, 1.464?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 35 divide ((-3)\/(-2))\/(6\/560)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -2*t**3 - t**2 - 4. Let h be p(-2). Find q such that -h*q - 9 + 12*q**2 + 9 - 4*q**3 = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*o - 11 + 1. Let v = -3 + 1. Let a = -153 + 1069\/7. What is the second biggest value in o, v, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 3*m + 5*v - 16 = 0, -3*v + 32 = 4*m. Let u be (-1)\/((-3)\/(-4) - (-1 + 2)). Let j be (m + u)\/(9\/(-6)). Let w(h) = -h + 2. Give w(j).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14792.\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) be the second derivative of -3*u**3\/2 + 57*u**2\/2 + 133*u. Let x be m(-10). What is the highest common factor of 42 and x?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 43\/380715 and -125\/609144.\nAnswer: 3045720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 571121 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 17a - 10d82?\nAnswer: -10c06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 2, -50\/3, -3\/4, -2, -13 in ascending order.\nAnswer: -50\/3, -13, -2, -3\/4, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 53690562?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/3? (a) 0 (b) -3 (c) 2\/5 (d) 12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/(j*j**6*j*j*j))**(2\/55)\/((j\/(j\/j**9))\/((j*j\/(j*j\/(j**(-1)\/j)))\/j)) assuming j is positive.\nAnswer: j**(-678\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1 + 214313?\nAnswer: 214312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 12425554 + -7181554. Round q to the nearest 100000.\nAnswer: 5200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*i**4\/5 - 494608*i**3\/5 - 30579139594*i**2\/5 + 61160257636*i\/5.\nAnswer: -2*i*(i - 2)*(i + 123653)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3369, -6710, -10029, -13314, -16553, -19734, -22845, -25874?\nAnswer: -28809","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -13.7? (a) 2 (b) -2 (c) 4\/7 (d) 0.7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 4 + (-4)\/(0 + 2) - 0. Suppose -4*z + 6 = -o - 7, -2*z + 8 = -s*o. Solve 3 = -3*v, 5*y + z*v - 1 = 1 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 107*k**2 + 3*k + 1. Suppose 5*a + 10 = -0*a. Let p be j(a). Is 2\/(-8) + p\/12 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t = a - 0*a - 21, a = 2*t + 25. Suppose 4*n + m = 45, -59*m + 55*m - 7 = -n. What is the remainder when a is divided by n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 1 f when two letters picked without replacement from {z: 5, w: 6, f: 2, j: 3, l: 1}.\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 319*v + 305*v + 315*v + 327*v - 1560*v + 315*v.\nAnswer: 21*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 81031 is divided by 614?\nAnswer: 597","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9463.607 grams to kilograms.\nAnswer: 9.463607","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 52391?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 68 and 44?\nAnswer: 748","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01486415 rounded to five decimal places?\nAnswer: -0.01486","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = p**2 + 2*p - 1. Let b(l) = 3*l**2 + 4*l - 2. Let y(m) = -b(m) + 2*u(m). Let a(w) = -2*w**2 - 83. Calculate a(y(c)).\nAnswer: -2*c**4 - 83","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(4*sqrt(11)*2*-5*6 + (-5*(sqrt(11) + -3 - sqrt(11))**2 - (sqrt(11) + (1*sqrt(77))\/sqrt(7))**2)).\nAnswer: 89 + 240*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -j - 9. What is x(-7)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -3 and 398363.\nAnswer: -1195089","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -41 - -35. Let p(m) = 2*m**2 + 0*m**3 + 6 - m - m**3 - m**2 - 5*m**2. What is the units digit of p(v)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 9.4604 - 9.74. Let o = s + -0.0204. Which is the nearest to 1? (a) -0.5 (b) o (c) 5\/9 (d) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2 * -30.\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.17 + -0.07. Suppose -25 = z - 6*z. What is the nearest to i in 4, -1, z?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 958 a factor of 27317370?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 416 minutes before 2:14 PM?\nAnswer: 7:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 154877 divided by 1\nAnswer: 154877","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Divide 1748524 by 31.\nAnswer: 56404","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rrru when four letters picked without replacement from {r: 9, c: 1, u: 1}.\nAnswer: 7\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*i + x + 6, i + 26 = -x + 22 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 460885398?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 26 + -0.21?\nAnswer: 25.79","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bvb when three letters picked without replacement from {g: 1, b: 7, v: 5}?\nAnswer: 35\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p*p\/p**(3\/16)*p**35*p assuming p is positive.\nAnswer: p**(605\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -u**2 + 3*u - 11. Let p(n) = 2*n**2 - 7*n + 22. Let d(o) = -4*p(o) - 9*w(o). Let i be 0\/1*(-1)\/(-2). What are the prime factors of d(i)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 283387 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -1739*(-75)\/1175 + 3\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 150193 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2142 + -124?\nAnswer: 2015","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -109*6.97642.\nAnswer: -760.42978","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m = -v - 10, v - 2*m - 16 = 2*v. Let p = v + 14. Let f(b) = 2*b**2 - 8*b. Let t(c) = c**2 - 5*c. Calculate p*t(g) + 5*f(g).\nAnswer: 2*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-22)\/(-6) - (-2)\/(-3). Let m = a - -1. Let g = 1769 + -1768. What is the highest common factor of m and g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 0 - (4 + 88\/(-20)). Let r = -3.3 - 0.2. Let f = r + 3. Which is the second biggest value? (a) f (b) -2\/17 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 4 - 3)*(4 - 3 - 3)*(2 - 5 + 1)*(1 + 2 - 5)*(0 - 3 + 1)*(2*i**3 - 2*i**3 - 9*i**3).\nAnswer: 432*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k when two letters picked without replacement from yqqkkyyyyyyyypppyyyy.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -5\/219, 0.2, -1, -75, -2?\nAnswer: -5\/219","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 18759, 20056, 22215, 25236, 29119, 33864, 39471?\nAnswer: 45940","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 323322 is divided by 17962.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 26215 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*a**4\/7 + 3224*a**3\/7 + 246708*a**2 + 43495144*a - 223701170.\nAnswer: 2*(a - 5)*(a + 539)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:04 AM and 5:31 PM?\nAnswer: 687","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 879528?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 15 + 23 + m**2 - 18*m - 53. Let f be b(19). Let u = -2 + 7. Do f and u have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.084 and -53.\nAnswer: -52.916","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -116 + 23. Let c = -92.979 - d. Let z = 2.979 + c. What is the third biggest value in z, -16, 1?\nAnswer: -16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -w - 421222. Let m(r) = -12*r. Give a(m(g)).\nAnswer: 12*g - 421222","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 7 (base 12) to base 7\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 168 = 44. Let p = 88 - a. Suppose -54 = -m + p. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4599, 4653, 4801, 5091, 5571, 6289, 7293, 8631?\nAnswer: 10351","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (6 - 3) + -6 - -2. Is a - 6*22*-2 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(-2))**(4\/3))**(-2\/91) assuming w is positive.\nAnswer: w**(16\/273)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(52) - sqrt(13))*4 - (sqrt(1872) + -1).\nAnswer: -8*sqrt(13) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -109\/9052230 and 13\/14483568?\nAnswer: 72417840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x - 8 - 17 = t, 4*x + 15 = t. Let h be (-18)\/30 - 28\/x. Suppose r + h*c = 128, 0*c + 490 = 4*r - 2*c. What is the hundreds digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 36 is divided by 10.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 10487?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3245 + -2291. Which is bigger: b or 4764\/5?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) be the second derivative of i**4\/12 + i**3\/3 - i**2 - 3*i. Let x be s(2). Suppose -2*y + 5*l = -50, 3*y - 72 = 3*l - x. Solve -y = -t - 3*t for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 c when three letters picked without replacement from {c: 7, n: 7}?\nAnswer: 5\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 3, -28\/5, -1\/7, 1\/4, -40?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) be the first derivative of 7*a**2 - 67*a - 49. Let t be q(5). Solve 5 = -2*x - t*c, -4*x - x + 4*c - 1 = 0 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 3, p: 1, k: 12}. Give prob of picking 3 k.\nAnswer: 11\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 417910103 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 256 and 768?\nAnswer: 768","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -52 - 0.131664.\nAnswer: -52.131664","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -1, -3, 1, 4, 628, 5 in decreasing order.\nAnswer: 628, 5, 4, 1, 0, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 45 * 6906\nAnswer: 310770","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out 22027 * 81.\nAnswer: 1784187","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 49 a factor of 1814?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -4*i**2 + 2*i + 259*i**3 + 2 + 0*i - 260*i**3. What is x(-4)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 35*h + 417. Let a be 7 + ((-4)\/22 - (-230)\/55). List the prime factors of n(a).\nAnswer: 2, 401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -7 + 25\/(-20)*2*-2. Let g(q) = 15*q + 3. Let j(o) = -15*o - 2. What is l*g(n) - 3*j(n)?\nAnswer: 15*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 3. Let i(g) = -5. Let r(n) = -i(n) - 2*s(n). Let d(w) = -3*w - 3 + 2*w + 1. Let o = 1629 - 1636. Give o*r(t) + 4*d(t).\nAnswer: -4*t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**4)**(-28)*(n*n**(-2\/5)\/n)**(-7\/3))**(-30) assuming n is positive.\nAnswer: n**3332","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -540200*t - 3241199. Give v(-6).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -10 - -13. Find the third derivative of j**2 + 4*j**5 + 4*j**2 + h*j**2 wrt j.\nAnswer: 240*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:35 AM and 2:59 PM?\nAnswer: 564","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 0 - (5 - (3 - 1))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -x**3. Let f = -1 - 1. Let k be b(f). Let u = 24 - k. Is 8 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 91, 591, 1433, 2623, 4167, 6071, 8341?\n\"Answer: l**3 + 165*l**2 - 2*l - 73","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 350449?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 787406413 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3875, 7918, 11983, 16076, 20203?\nAnswer: 24370","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -3*o + 4. Let x be w(2). Let c be 1\/(x + 22\/10). Suppose -2838 = c*a - 11*a. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + (-2 - -8 - 3 - -2).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v - 9 = -6*v. Let k = -1 - 3. Let n be (-23)\/(-5) - k\/10. Solve n*j - v = 7 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 28961 by -55.\nAnswer: -28961\/55","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xlxnxlnxixltm. What is prob of sequence tl?\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 12, 11, 12, 15, 20?\n\"Answer: g**2 - 4*g + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3300691.\nAnswer: 3300691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 4*z = 39, -4*z + 0*z = 4*p - 24. Let j be (-8)\/(-2)*(-28)\/(-2). What is the highest common factor of j and p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 11834 = -4*k, -3*k + 4*f + 4067 = -4803. Does 26 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 4*p**2 - 1. Let u be x(1). Is (0 - u*-1) + 28 + -2 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y**5 + 150*y**4 + 824*y**3 - 1760*y**2 - 12672*y - 10240 = 0 for y.\nAnswer: -4, -1, 4, 80","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = 3*u - 0*u - 24, 2*u = -6. What is the lowest common multiple of g and ((-286)\/(-52))\/((-2)\/(-4))?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 424 at most 332?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 102 + -20?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of d**4*l - 105*d**3*l**3 - d**3*l**2 - 6*d**2*l - 4*d*l**3 - 2*d*l**2 wrt d.\nAnswer: 24*d*l - 630*l**3 - 6*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 182 + -10 - -6*(-1)\/2. Suppose 0 = -2*x + 3*x. Suppose -3*b = 3*s - 96, x = 5*s - 4*b - 0*b - p. Calculate the remainder when 65 is divided by s.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 873, 1748, 2623, 3498, 4373?\n\"Answer: 875*x - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + ((sqrt(65) + 6*(sqrt(65) + sqrt(65)*-4) + sqrt(65))\/sqrt(5) - ((sqrt(52) + -2)**2 - sqrt(13) - (2*(0 + sqrt(13) + sqrt(13)))**2)).\nAnswer: -7*sqrt(13) + 150","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (sqrt(189)*-1)\/(sqrt(3) - sqrt(12)*-3))**2.\nAnswer: -12*sqrt(7)\/7 + 37\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3732 and 36?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4939 + 7088. What is the hundreds digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 4*n = -0*v, 4*v = -2*n. Suppose h - 41 + 11 = v. Let j be (h\/(-9))\/(2\/36000). Round j to the nearest ten thousand.\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8*i + 3*i - 16*i to q + t*i and give t.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 583.1407 to the nearest ten.\nAnswer: 580","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 n and 1 v when four letters picked without replacement from {v: 2, n: 8}.\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 981725 to the power of 1\/3, to the nearest integer?\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -6, 45, 11, -3 in ascending order.\nAnswer: -6, -3, -1, 11, 45","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 48 + (1 - 42) + 25?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = n - m - 2*m - 6, 4*m = n - 5. Suppose -4*v - 7 - n = 0. Is (3 + 11\/v)*1796 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4 - -9. Let j = -79 - -79.1. Which is the nearest to j? (a) -3 (b) h (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.304 + 0.404. Let k = -2.4627 + 2.56247. Let l = k - y. What is l rounded to 4 dps?\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 95469 and 16698.\nAnswer: 4391574","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*d + d + 20. Solve d*a = 4*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -74965 divided by -1595.\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -17228*y**4 + y - 3*y**2 + 17257*y**4 + 0*y + y**3 to n*y + r*y**4 + c*y**2 + m*y**3 + t and give m.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-38 - -34)\/(-2 + 1). Let c be 6*(-6)\/4*13. Let b = h - c. Is b a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = 6*p - 28. Let c(t) be the first derivative of -1\/2*t**2 + 4 - p*t. What is c(0)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 45 (b) 0 (c) -36\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1028 + 1028. Sort o, -12, 4, -3.\nAnswer: -12, -3, o, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -236657997*a + 12*a**2 + 236657997*a.\nAnswer: 12*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) be the first derivative of -2 + 1\/5*t**3 + 0*t - 1\/10*t**2 - 1\/10*t**4. Find o, given that p(o) = 0.\nAnswer: 0, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -12 + 13. Suppose -2*r + 3 = -k. Let m = -8211 - -8211. Solve -r*b + b = m for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4314882197 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 3555*x + 0 - 1925*x - 2059*x.\nAnswer: -429*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -62394, 4, -136.\nAnswer: -62394, -136, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 4290700 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 8669*o - 9912. Is q(171) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + sqrt(3) - sqrt(3))*5 - sqrt(12)\/(sqrt(4) - (sqrt(4) + sqrt(16))))**2.\nAnswer: 5*sqrt(3) + 103\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 57650 and 2?\nAnswer: 57650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*j**2 - j**2 + 2*j**2)*(j**2 - 1178*j**3 - j**2 + 1340*j**3).\nAnswer: -162*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m**(-2))**(3\/7)*((m\/(m\/((m*m*m\/(m\/m**9*m))\/m))*m)\/m*m)\/m**4 assuming m is positive.\nAnswer: m**(39\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.124 + 0.446. Let g = -0.47 + v. Which is the second biggest value? (a) -0.4 (b) g (c) 1\/2 (d) -0.02\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 163142890?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 1022412 (base 6) to base 11\nAnswer: 34492","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + 7 + (-7 - 6 - -6) - -18?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2 + 4*q**3 - 4*q**3 - q**5 + (-19*q**2 - 15*q**2 + 20*q**2)*(-3*q**3 + 0*q**3 + q**3) + 3*q**5 + q**5 - 3*q**5.\nAnswer: 28*q**5 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 210328.\nAnswer: 2, 61, 431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (42\/14476*94)\/(-4)\nAnswer: -3\/44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*u - u**3 + 0*u)*(20 + 21 - u - 13).\nAnswer: u**4 - 28*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -100011110100000111 (base 2) in base 9?\nAnswer: -243204","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 31 + -55. Is 7 a factor of 1*(-2 + -1) - j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 27.7 - 29. Let f be 1 + (245\/(-50) - (-252)\/105). What is the nearest to h in -5, f, -0.4?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -7*r + 7. Let k(j) = -3*j + 3. Let v(x) = -x**2 + 5*x - 1. Let q be v(4). Let c = q - 8. Give c*k(s) + 2*w(s).\nAnswer: s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*p - 10*p = -124. Suppose -4*f = 4*c - c - 111, -f = 4*c - p. Is f a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1.091 - 0.991. Which is the nearest to i? (a) 4 (b) -7\/4 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((294\/(-12))\/7*4)\/2. Let u(j) = j + 5. What is u(t)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(33)\/(-1*sqrt(1100) - sqrt(11)).\nAnswer: -sqrt(3)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 5*l + 0*l**3 - 4*l + 7 + 9*l**2 + l**3. Let f be k(-9). Is 5 a factor of (2 - 8)*1*f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -366*n - 28180. What is f(-77)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -y**2 - 8*y + 2. Let w be t(-4). Let l be (-18)\/(-2)*(-24)\/36. Let b = w + l. What is the tens digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that 33*x**4\/4 + 303*x**3 + 12867*x**2\/4 + 10188*x - 3024 = 0.\nAnswer: -21, -8, 3\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) be the second derivative of 11*b**4\/12 + 3*b**3\/2 - b. Let j = 234 - 231. Let v(u) = 5*u**2 + 16397*u + 16394*u - 32787*u. Give j*x(o) - 7*v(o).\nAnswer: -2*o**2 - o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) be the second derivative of 13*t**7\/42 + t**6\/15 - t**5\/20 + 5*t**3\/6 + 121*t**2 - 3513*t. What is the second derivative of h(p) wrt p?\nAnswer: 260*p**3 + 24*p**2 - 6*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 416437 is divided by 208017.\nAnswer: 403","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 3994 = -s - 4*s, -s = -2*n - 3994. What is n rounded to the nearest one thousand?\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a\/a**(-3)*a)\/a)**(-11) assuming a is positive.\nAnswer: a**(-55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10371.\nAnswer: 3, 3457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 34216577 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.43 + 0.42. What is the biggest value in -1, y, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 219282.9mm?\nAnswer: 0.2192829","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1008859 - 1008858.79197213. Let n = m - -16.79193013. Let b = 17 - n. What is b rounded to five decimal places?\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 552 = d. Let z = 198 - d. Suppose 41 = 3*t + 14. What is the remainder when z is divided by t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 182 and 104.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w - 4 = z, 3*w - 3 = -4*z + 5*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*p - 2*p - 2*p)*(0*p - p + 0*p)*(0 + 2*p + 0 + (-3 - 2 + 3)*(7 - 7 - p)).\nAnswer: 16*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2654, 535\/4, -0.2.\nAnswer: -2654, -0.2, 535\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.1075 bigger than 77557?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (2520\/(-117) - -21)*120\/28\nAnswer: -30\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2\/9 (b) 0.12 (c) 3\/181 (d) -42.3 (e) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7031541?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 61246 or 61253?\nAnswer: 61246","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 6) to base 10.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-s**2 - 2*s**2 + s**2)*(1 - 3 + 4) + 5*s**2 - 3*s**2 - 4*s**2 + 227 - 228 - 31*s**2 - 24*s**2 to the form c*s**2 + h + u*s and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i and 1 z when three letters picked without replacement from {i: 9, z: 5}?\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -121 = -9*a - 4. Let z(t) = t**3 - 12*t**2 - 13*t + 28. Let r = 404 + -400. What is the smallest common multiple of r and z(a)?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1274*b**2 - 1796*b + 1.\nAnswer: 2548","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) be the first derivative of l**7\/2100 - l**6\/150 - l**5\/300 + l**4\/10 + 8*l**3 + 84. Let m(d) be the third derivative of w(d). Factor m(n).\nAnswer: 2*(n - 6)*(n - 1)*(n + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -574113549.9998685 + 574113799. Let j = a + -249. Round j to five dps.\nAnswer: 0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + 20 + -29 + -1 + 8.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -4*j**3 + 2*j**2 - 157*j - 12942?\nAnswer: -12*j**2 + 4*j - 157","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*g**2*l**3*r - g**2*l**2*r**2 + g**2*l**2*r + l**3*r**2 - 19*l**3 + 2*r**2 wrt l.\nAnswer: 12*g**2*r + 6*r**2 - 114","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -10? (a) -2\/5 (b) 0 (c) 1\/3 (d) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6173, 4493, 1695, -2221, -7255, -13407, -20677?\nAnswer: -29065","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 681740771 to the nearest integer?\nAnswer: 26110","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-4522 + (-84)\/(-7))*(1 + -2).\nAnswer: 2, 5, 11, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3 - 5. Let m be i\/10*5\/2. Let l = 0.8 + -1.1. Which is the nearest to m? (a) l (b) -3 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (240\/1470)\/(6\/(-21))\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (8 + -4 + -5)\/(-1). Let t = o + 3. Let a be 6392\/(-32) + (-1)\/t. Round a to the nearest one thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h - 2 + 17 = 0, -2*h = 3*n - 4 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 34506886?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4 + 1. Let c(i) = -i + 1. Let r(g) = -4*g + 3. Let l(v) = s*c(v) + r(v). Let k(x) be the second derivative of -x**4\/6 + 11*x. Give l(k(z)).\nAnswer: 2*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + ((-32)\/(-8) - 1*6).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (-22 - -17) + (-5)\/((-660)\/652)\nAnswer: -2\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 39801363 a multiple of 1302?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37*h + 2965434 - 454837 = -246680. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zeezzeezeseqqese. Give prob of sequence qzqs.\nAnswer: 1\/2730","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*b - 12*b = -4. Let c = -8 - -12. What is the second derivative of -n**b + n**2 + 5*n**c - 6*n wrt n?\nAnswer: 60*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -3934\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) be the third derivative of i**10\/75600 - i**8\/5040 + i**6\/360 + 9*i**5\/20 + 3*i**2. Let u(l) be the third derivative of o(l). Factor u(j).\nAnswer: 2*(j - 1)**2*(j + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/m**(-14\/5))\/m**15)**(2\/147) assuming m is positive.\nAnswer: m**(-16\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -19.0115 + 19. What is s rounded to 3 dps?\nAnswer: -0.012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 37 = -5*b, 3*r = 2*r - 3*b + 11. Solve -4*n = t - r, -4*n + 0*t = -2*t + 4 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 22587\/2 or 11294?\nAnswer: 22587\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 + 3 + 38*r**2 + 1.\nAnswer: 38*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve q - 5 = 0, -32*r - q + 30 = -37*r for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 2, a: 5}. What is prob of picking 4 a?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = w**3 - 2*w**2 - 3*w - 1. Let z be d(-1). Let c = 5 - 1. Put c, -5, z in decreasing order.\nAnswer: c, z, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*j - f - 2*f + 35 = 0, -j = 5*f - 21 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*s = -5*a + 34 + 33, s = -3*a + 5 for s.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xxuxxxxxuxu. Give prob of sequence xux.\nAnswer: 28\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1847.041 milligrams to nanograms.\nAnswer: 1847041000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 2*b**2 + 8*b - 56. Let d(c) = -c. Determine d(j(m)).\nAnswer: -2*m**2 - 8*m + 56","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-10)\/(-30)*180\/(-16))\/(31\/(-248)).\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36\/7*k + 38\/7 - 2\/7*k**2 = 0.\nAnswer: -1, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 2*c**3 - 8*c**2 + 5. Suppose -9*g - 55 = -4*g. Let u(a) = -10*a + 10*a - 2*a**2 - 4*a**3 - 9 + 17*a**2. Let b = 30 - 36. Calculate b*u(m) + g*y(m).\nAnswer: 2*m**3 - 2*m**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 608 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2286 is divided by 1085?\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1240966416299 - -1240967638557.243891. Let f = g - 1222259. Let y = 0.757 + f. What is y rounded to 4 decimal places?\nAnswer: 0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 - 22 - 45)*(2*f**2 - 3*f + 3*f)*(-5*f**3 - 2*f**3 + 4*f**3).\nAnswer: 366*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -57 (b) 22 (c) -3 (d) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-1*sqrt(121)*1)\/(-5*sqrt(44)))**2 + (sqrt(1100)*-2 + -5 + sqrt(1100))**2 + (sqrt(1100) - sqrt(1100)*2*-6))*2.\nAnswer: 460*sqrt(11) + 112511\/50","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -3*m**2 - 33*m + 11. Let d(p) = 4*p**2 + 38*p - 12. Let s(k) = -5*d(k) - 6*y(k). What is s(4)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + 3 + (6*(-2 + sqrt(891) + (sqrt(891) + (sqrt(891)*1 - sqrt(891)) - sqrt(891))))**2 + 5.\nAnswer: -1296*sqrt(11) + 32227","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -719*i**2*r**2 + i*r + 12*i - 2*r**2 wrt i.\nAnswer: -1438*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1*(-3)\/6*8. Let d be -1 + 0 - 16\/i. Suppose 0 = u - d*u. Solve u = -8*f + 3*f, 16 = -4*h + f for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9822145 minus 2?\nAnswer: 9822143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/5? (a) -1 (b) -19 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 3918 (b) 0.4 (c) 0.3 (d) 3 (e) 90\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4251636?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1116265 and 10.\nAnswer: 2232530","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = 11 - 2. Let c = f + -4. Let h be (-100)\/(c*3\/165000). What is h rounded to the nearest 1000000?\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (18\/(-2152))\/(30\/240). Let o be (28\/(-31))\/(3766\/(-259)). Let t = h - o. What is the closest to 0.1 in 1, t, 3\/4?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 2*g**3 + 6*g**2 - 2*g**3 + g**3. Let x be o(-6). Suppose b + 3*b - 87 = -3*i, -5*b - i + 106 = x. What is the units digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-481)\/(-74)*(2\/1)\/(-1)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 99725 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert -7 (base 13) to base 2.\nAnswer: -111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -2*b + 4. Suppose -5*p = 5*s + 45, 8 = -8*s + 4*s. Let o be c(p). Solve 15 = -t - 5*l, 5*t = 5*l + o - 3 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) be the first derivative of 0*s + 4*s**3 + 0*s**4 - 8\/5*s**5 + 6 + 0*s**2. Find the third derivative of z(j) wrt j.\nAnswer: -192*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 12?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -6368*1*7\/2. Is 1\/(-5) - d\/40 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -12 - -20. Suppose 3*q - 13 = m. What is the units digit of q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cbu when three letters picked without replacement from {c: 4, b: 2, u: 2, r: 3}.\nAnswer: 8\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) be the third derivative of 43*u**6\/12 - 583*u**3\/6 - 368*u**2 + 2. Find the first derivative of b(y) wrt y.\nAnswer: 1290*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 7649 - -5?\nAnswer: 7654","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 448*n**2 + 2860*n - 2860*n.\nAnswer: 448*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1212\/5*x + 3\/5*x**3 - 396 - 117\/5*x**2 = 0. What is x?\nAnswer: 2, 15, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -v + 113. Let j(r) = 49. Let u(w) = 7*j(w) - 3*l(w). Let b(s) = s**2 - 1. Let n(q) = q**2 - 2*q - 5. Let g(t) = 2*b(t) - n(t). Give 3*g(x) - 2*u(x).\nAnswer: 3*x**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 16668 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: Evaluate ((-2)\/(-14))\/(1002\/119238).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3 - -1. Let a = 11970 - 11973.0436. Let k = -0.0436 - a. What is the nearest to 2\/5 in -3\/5, k, z?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 47835?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -5, 5, -862, 1, -3, -5270.\nAnswer: -5270, -862, -5, -3, -2, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*j + 13*j - 40*j + 13*j.\nAnswer: -j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 533 is divided by 65.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 457562\/210 - (-4)\/30 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -6996.4222 to the nearest one thousand.\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -293, -614, -961, -1334, -1733?\n\"Answer: -13*p**2 - 282*p + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 78 a factor of 775?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 8064 and 3416.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 889895305?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 76\/(-18) - -6*(-9)\/(-243)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1674160723 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is p in 3*p**4 + 7782426*p**3 + 132300507*p**2 + 342424584*p + 217906500 = 0?\nAnswer: -2594125, -14, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 13130302200 (base 4) to base 3\nAnswer: 10200012220200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + (-5 + 0 - (-7 - -6))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-96)\/60*(-3)\/12\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q and 2 u when four letters picked without replacement from lqquwuouuluuqluuulu.\nAnswer: 45\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-5)\/(85\/6))\/(29\/(11832\/(-36))).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 1\/27 of a week?\nAnswer: 22400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/(-24)*(920 + 88)\/(-16).\nAnswer: 21\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 + (-3 - 10) + (155 - 100)?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*g = 9*g. Suppose -9 + g = -o. Suppose -q + 4*q - o = 0. Solve -q*t = -0 + 9 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s + 2*z = -s + 3, 5*z = 5. What is the least common multiple of s and 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 21*m. Let u(g) = -2*g**2 + 10. Give u(b(w)).\nAnswer: -882*w**2 + 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -8265754*g*r - 36*r - 114434 wrt g?\nAnswer: -8265754*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 - 7 = 5*o. Let c(l) = 21*l**2 + l - 1. Let b be c(o). Suppose 2*v = -3*i + 88, v + 2 = i - b. Solve 2*p - 5*w - i = 0, 0 = 2*p - 0*p - 2*w - 14 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8294400.25 times 5\nAnswer: 41472001.25","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -7\/4 (b) -9\/4 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*k - 4*k + 5*k)*(5*k**4 + 0*k**4 - k**4 + (-4*k + 2*k + 4*k)*(k**3 - 4*k**3 + k**3) - 7*k**4 - 2*k**4 + k**4).\nAnswer: -56*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 97*u**2 - 9*u**3 + 2*u**3 - 187*u**2 + 90*u**2.\nAnswer: -7*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -2*-2*((-53)\/18 + 3). Is t at most -35?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 309108 divided by 6.\nAnswer: 51518","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-7*w**2 + 160*w**4 + 1056*w**4 + 7*w**2)*(5 - 2 - 5) to x*w + k*w**3 + h + m*w**2 + i*w**4 and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -716*a + 536. What are the prime factors of c(-4)?\nAnswer: 2, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 775 - 775. Solve p = -c - w + 3, 4*c + w - 16 = -w for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 110 and 55391512.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 128 minutes before 6:39 AM?\nAnswer: 4:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.001 + 5.301. Let r = a - 5. Let n be 1*(1 - -1) + -2. Which is bigger: r or n?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 14 + 0. Suppose 13*c = s*c - 15. What is the second derivative of -3*m**5 + 8*m - 2*m - c*m - 10*m**5 wrt m?\nAnswer: -260*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1.8 - -2.3. Suppose 8*i = 4*i + 24. Let y be i\/4*6\/(-54). Sort p, -5, y.\nAnswer: -5, y, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -417*z + 7437. Let q(p) = -27*p. Determine q(k(u)).\nAnswer: 11259*u - 200799","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 15 and 2710?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(5 + 2*sqrt(176) + -5 + 0)**2.\nAnswer: 3520","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 4\/6 + (-28)\/6. Let y(n) = n**3 + 6*n**2 + 5*n + 2. Let b = 111720 + -111704. Calculate the lowest common multiple of b and y(k).\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1688, -6724, -15016, -26480, -41032?\nAnswer: -58588","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.01 + 0.19. Let f = -0.14 - l. Round f to 1 decimal place.\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) be the first derivative of l**4\/4 - 4*l**3 - l**2\/2 + 14*l - 22. Let m be w(12). Solve 0 = -3*o + 4*f - 18, -m*o - 2*o - 3*f + 1 = 0 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -25*636\nAnswer: -15900","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 0*(-1 + (-4)\/(-3)). Suppose t*v = -3*v - 4*j + 11, 0 = 2*v + 2*j - 10. Calculate the remainder when 24 is divided by v.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*x**2 + 2*x**2 + 3*x**2)*(-2 - 4 + 3) - 2*x**2 - x**2 + 2*x**2 + (-2*x - 4*x + 4*x)*(2*x + x - 4*x).\nAnswer: 4*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -53\/17181 and -59\/81.\nAnswer: 154629","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(-1\/4)\/(r\/(r\/(r*r*r**18)*r)))\/(r**(-3\/7)*r**0))**(-4\/7) assuming r is positive.\nAnswer: r**(527\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (1\/(-4)*2)\/((-2)\/7396)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-62 - -1) + 36192 + -36092?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 3*f + 1. Let n(k) = 22*k**2 - k + 1. Let a be n(f). Let w = a - -6. What is the units digit of w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2057) + (((sqrt(2057) - (sqrt(2057) + -1))*-4)**2 - sqrt(2057) - sqrt(2057)))*-6 - (0 + sqrt(2057) + -5 - (sqrt(2057) - (3 + sqrt(2057) + 1))).\nAnswer: -95 + 55*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.5, -20, 2\/9 in decreasing order.\nAnswer: 0.5, 2\/9, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-20*u + 108*u + 106*u)*(-u + 4*u - 5*u)*(0 - 2*u + 0) to n*u**2 + g + t*u**3 + j*u and give t.\nAnswer: 776","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(204) + (-1*-1*sqrt(204) - sqrt(204)) + sqrt(204) - sqrt(204))\/(3*sqrt(6)*1))\/((-1*sqrt(2420))\/(sqrt(40)\/(sqrt(4)*1))).\nAnswer: -sqrt(17)\/33","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1101 - -11100001111110101111?\nAnswer: 11100001111110100010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 12? (a) 0.5 (b) 37 (c) -0.35 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19 divided by 59.\nAnswer: 19\/59","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 162964 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -6 in 0.08, -0.3, -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 4*f + 1 = 0, -5*h + f + 9 = -3*h. Suppose h*y + 7 = 22. Let c = 35 - 25. Calculate the lowest common multiple of c and y.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 1126 = -537*y + 532*y, -228 = -y + 3*z. 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: Is 785391641 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-2\/13)*p)\/(p**0*p*p)*(p**(-1))**17*((p*p**(-4)\/p*p)\/((p**(-9)*p)\/p))\/((p**(2\/3)\/p)\/(p*p**(2\/19)*p)) assuming p is positive.\nAnswer: p**(-7199\/741)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -28*z - 3311 + 12159. What is the tens digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 89990 and 57125652.\nAnswer: 285628260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (q**2 + 0*q**2 - 5*q**2 + (q + 2*q - 2*q)*(-2*q + q + 3*q) - 5*q**2 - q**2 + 4*q**2)*(q**2 - 4*q**2 + 4*q**2).\nAnswer: -4*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -3*c**3 + 11*c**2 - 14*c - 23. Let w(d) = -d**3 + 4*d**2 - 5*d - 8. Let q = -735 - -724. Determine q*w(n) + 4*l(n).\nAnswer: -n**3 - n - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -t**2 - t - 1. Let z = 375 + -381. Let u(h) = 8*h**2 + 7. Determine z*c(v) - u(v).\nAnswer: -2*v**2 + 6*v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-13*a + 19*a - 1 - 7*a)*(2 + 0 - 1)*(-2*a - 4*a + 5*a - 1).\nAnswer: a**2 + 2*a + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:50 AM and 7:42 AM?\nAnswer: 172","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 72267?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -13955.678999 + 13351.6789743. Let q = d + 604. What is q rounded to 6 decimal places?\nAnswer: -0.000025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3 - -7. Let u = -3 + z. Suppose -19 - 7 = -2*s - 4*p, u = 2*s - p. What is the units digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -112480, -112493, -112532, -112609, -112736, -112925?\n\"Answer: -2*k**3 - k**2 + 4*k - 112481","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 17.229 + -17.629. Let z = 2\/33 - -28\/627. What is the nearest to -2\/5 in 0, z, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 33, 63, 95, 129, 165, 203?\n\"Answer: q**2 + 27*q + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) be the second derivative of 0*f**2 + 0 - 3\/20*f**5 + 1\/12*f**4 - 30*f - 1\/3*f**3. Let b(y) = -y**2 + y - 1. Determine 2*b(q) + p(q).\nAnswer: -3*q**3 - q**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:45 PM and 7:08 AM?\nAnswer: 503","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 651 is divided by (-5)\/((-310)\/(-4)) + ((-630420)\/589)\/(-5)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that 2*y**4\/11 - 10*y**3\/11 - 16*y**2\/11 + 24*y\/11 = 0.\nAnswer: -2, 0, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -224.76, 0.4, -2?\nAnswer: -224.76","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1208605 - 1210325 = 43*r for r.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 145*v**3 + 2*v**2 - 2*v. Determine u(1).\nAnswer: 145","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -809*u. Let o be w(2). Let x be o\/3 + 4\/(-12). Let h = 13147\/24 + x. Find the common denominator of h and 95\/6.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 204610 and 39895?\nAnswer: 395","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 6168799045 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -10*z + 14. Put -0.05, 4, z, -0.3 in decreasing order.\nAnswer: 4, z, -0.05, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 729880 to the power of 1\/3, to the nearest integer?\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -1889511 and -187?\nAnswer: 1889324","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5*r + r - 4*r)*(5 - 5 + 3)*(2 - 2 + 2) to the form p + b*r and give b.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -5757 + 5757 + 111*t**2 + (-t + 4*t - t)*(-4*t + 3*t + 2*t) + (2*t + 4 - 4)*(45 - 45 - 31*t) in the form f + g*t + p*t**2 and give p.\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 639.460053 rounded to one dp?\nAnswer: 639.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -29*f + 234. Let h be b(8). What is the second derivative of -33*c**2 - 74*c**4 + 67*c**h + 13*c - 34*c**2 wrt c?\nAnswer: -888*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/(d**(3\/2)\/d)*d)\/(d**(-2)\/d))**(-14\/11) assuming d is positive.\nAnswer: d**(-63\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -140 + 134. Let h be (2\/l)\/(3*14\/(-189)). Factor -3\/2*w**2 - h - 3*w.\nAnswer: -3*(w + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 195\/27 + -3 - 16\/72. Suppose -2*i + w + 14 = 0, -67 = -y*i - 4*w - 27. What is the first derivative of 1 - 40*h**3 + 16 - 3 + i wrt h?\nAnswer: -120*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.004627 to three decimal places.\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 21*a - 25*a. Let j = -0.2 + 0.2. Let d = 0.1 - j. What is the third smallest value in d, a, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7527795487 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -m**3 + 8*m**2 - 8*m + 8. What is the tens digit of f(6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 34139840 and 29?\nAnswer: 990055360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r**4 - 20*r**3 - 17*r**2 + 38*r = 0.\nAnswer: -19, -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -13\/41 and -109\/440.\nAnswer: 18040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-4)\/(-1130))\/((-87)\/290). Which is bigger: -1 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 96 - 111 = 3*w for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*l + 1555 = -11*l. Suppose 3*o = 2*z + l, -2*z + 103 = o - 3*z. Is o a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -s**2 - 1. Let c(i) = 67*i**3 - 7*i**2 - 2*i - 7. Let x(q) = -c(q) + 6*g(q). Let k be 1 - (-2 + 5 - 1). Is x(k) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -4*q - q + 7*q. Let p(s) = 2*s**2. Calculate o(p(l)).\nAnswer: 4*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -322*u - 25. Let g(k) be the second derivative of k**5\/20 + k**4 + k**3\/6 + 9*k**2\/2 + 5*k. Let y be g(-12). Is n(y) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29987 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -961*y**5 + 5890*y**4 + 213*y**3 - 5866*y**2 + 748*y - 24 = 0. What is y?\nAnswer: -1, 2\/31, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 21*g**2 + 2*g + 1. Let y be q(-1). Suppose -w = -2*f - 6, 0*f - 2*f = -4*w + 36. What is the highest common divisor of w and y?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -1662733*t*y + 18912*t + 15 wrt y.\nAnswer: -1662733*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 12934153 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -7 - 5*w**2 - 4 + 4*w - w + 5*w. Let i(g) = 2*g**2 - 3*g + 4. Let t(m) = -3*b(m) - 8*i(m). Factor t(x).\nAnswer: -(x - 1)*(x + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 12117530?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 169*x**5 + 96*x**2 - 1.\nAnswer: 10140*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t - 2*t = -2, -5*g + 7 = -3*t. Let o(l) = -l**2 - l + 3. Let u(j) = -2*j**2 - 3*j + 7. Determine g*u(c) - 5*o(c).\nAnswer: c**2 - c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) be the first derivative of 11*i**2\/2 + 2. Let m be 0 - ((-117)\/3)\/(-3). Let q(p) be the third derivative of -5*p**4\/24 - 2*p**2. Give m*q(h) - 6*u(h).\nAnswer: -h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 18 - 9 = 3*k, 0 = 5*k + 4*c + 45. Let v = k + 17. Calculate the remainder when 22 is divided by v.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-1)\/6)\/((-3)\/(-6)). Let p = -0.2 + 0.4. Let f = p + -0.3. Which is smaller: f or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 942261511 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 5*b**3 - 31*b**2 + 36*b - 36. Give m(7).\nAnswer: 412","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Is 269 a factor of 3049653?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 203370731 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -h**3 + 3*h**2 - h + 3. Let d be u(3). Let l = -286\/45 - -50\/9. Which is smaller: d or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.02736919086 rounded to 3 decimal places?\nAnswer: -0.027","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.416001 + -0.27761. Let v = a - 0.139. What is v rounded to 4 decimal places?\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*a**2 + a - a)*(-2 + 1 - 2 + (-3 + 4 + 1)*(-3 + 1 + 3)).\nAnswer: -2*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/7? (a) 1.1 (b) 2\/34267 (c) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 24 is divided by 11?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -409393963 divided by 11.\nAnswer: -37217633","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i when two letters picked without replacement from {y: 6, i: 12, e: 1}.\nAnswer: 22\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -s**2 + 4*s - 4. Let d be t(3). Let j = 0 - d. What is the units digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -5\/4, 4, 0.5, -37.\nAnswer: -37, -5, -5\/4, 0.5, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -460.12 - -460. Put k, 3, -2 in decreasing order.\nAnswer: 3, k, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor z**2\/3 + 4471*z\/3 - 4472\/3.\nAnswer: (z - 1)*(z + 4472)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-141*m + 69*m + 74*m - 49)*(39 - 39 - 54*m).\nAnswer: -108*m**2 + 2646*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -6*d**2. Let f(q) be the third derivative of -25*q**4\/24 + 1673*q**2. Give f(o(w)).\nAnswer: 150*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (9*(-2)\/(-15))\/((-2526)\/(-46310)).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3643 - 2986. Calculate the remainder when f is divided by 44.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -3*x**3 + 4*x**2 + 6*x + 1. What is g(-2)?\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 4207330?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*o**2 + 21177588*o - 56061279187218.\nAnswer: -2*(o - 5294397)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 109*k**3 + 5*k**2. Let t(b) = 55*b**3 + 2*b**2. What is 2*p(q) - 5*t(q)?\nAnswer: -57*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -3088, 2 in increasing order.\nAnswer: -3088, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -25 - 6*p - 3*p + 6*p. Let c be y(-13). Let l = 54 - c. What is the greatest common divisor of 16 and l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -12*u**2 - 3*u. Determine r(-2).\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 13328161 and 9693208?\nAnswer: 106625288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 900 and 48987?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) be the third derivative of 7\/30*c**5 - 20\/3*c**3 + 17\/3*c**4 + 10*c**2 + 3*c + 0. Factor i(o).\nAnswer: 2*(o + 10)*(7*o - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (11448\/4770)\/(920\/25).\nAnswer: 3\/46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5)\/(-8)*700\/(-875)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -11 + 76. Let c = a + -70. Which is bigger: c or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 943470914 - -2027.\nAnswer: 943472941","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.862132 micrometers to centimeters.\nAnswer: 0.0009862132","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*i - 67*i + 4*i + 20 - 5 + 55*i + 2.\nAnswer: -3*i + 17","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1.15 - -0.15. Which is the nearest to n? (a) -4\/3 (b) -4 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -7302.022243 - -7302. What is g rounded to three dps?\nAnswer: -0.022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 82167.3 + -899.3. Let b = v - 81268.0180028. Let j = b + 0.018. Round j to six decimal places.\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + ((sqrt(300) + -1 + -2)**2 - ((sqrt(300) + 1)*-6)**2).\nAnswer: -10523 - 780*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 3, 818, 1 in descending order.\nAnswer: 818, 3, 2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 21.1642+78722.3463\nAnswer: 78743.5105","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 14 - 13. Is c smaller than 4\/45?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11187 - 7*s**3 + 11187 - 13*s**3.\nAnswer: -20*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) be the second derivative of -2456500*y**7\/189 + 956590*y**6\/27 - 439739*y**5\/18 - 27883*y**4\/12 - 84*y**3 - 3*y**2\/2 + 3605*y. Factor p(d).\nAnswer: -(d - 1)**2*(170*d + 3)**3\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.124 + 99.876. Let j = 149 - o. Let g = j + -48.99999939. What is g rounded to seven decimal places?\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 2*a**2 - 12*a - 9. Let z(x) = -3*x**2 + x. Let i(o) = -l(o) - z(o). Determine i(-9).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-3)\/13)\/((-23751)\/117624))\/((-8)\/(-22)).\nAnswer: 22\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -417*i + 838*i - 2 - 3*i**2 - 4*i**2 - 414*i. Let h(s) = -8*s**2 + 8*s - 2. Suppose 0 = l - 0*l - 3. Let a = -2 - l. What is a*h(d) + 6*f(d)?\nAnswer: -2*d**2 + 2*d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*d*u*y**3 - 64*d*u*y**2 + 2*d*y**3 - 2*d*y**2 - 2*u*y**3 + 8*u*y - 45*y**3 wrt y?\nAnswer: 18*d*u + 12*d - 12*u - 270","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 2 - -24 - (-22 - (9 + -36))\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1411922*y**4 + 779182*y wrt y.\nAnswer: -16943064*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 12 + -10. Suppose 0*v - 2*t - 4 = -r*v, 3*v - 21 = -2*t. What is the smallest common multiple of v and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 54 minutes before 4:43 PM?\nAnswer: 3:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (3\/((-4095)\/140 + 3*6))\/((-1)\/(-2))\nAnswer: -8\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = g**3 - 9*g**2 - 23*g + 16. Let t be r(11). Suppose 0 = 7*v + t + 2. Let z(a) = 4*a**3 + a**2 + a. Let q be z(v). Let c(o) = -o - 9. Give c(q).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 5, h: 3, u: 2, k: 2, d: 3}. What is prob of sequence ddu?\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -79831 (b) -5 (c) -2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1470?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*x**5 - x**5 + 0*x**5 + (-5*x + 3*x + 0*x)*(5*x**4 - 4*x**4 + 5*x**4).\nAnswer: -16*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 12027268 a multiple of 82?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l - 5*p - 10 = -59, -75*l - 311*l - 6486 = -p - 2239 for l.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 15459127 or 15459128?\nAnswer: 15459128","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -5\/72399692?\nAnswer: -5\/72399692","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 69\/1022 and 121\/1460.\nAnswer: 10220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ji when two letters picked without replacement from {j: 7, i: 5}.\nAnswer: 35\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 68 divide 151134?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 - g)*(-9*g + 3 + 6*g - g).\nAnswer: 4*g**2 - 3*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6332 - 7*c**2 - 3177 - 3155.\nAnswer: -7*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.1484 or -2\/5?\nAnswer: -0.1484","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = -2*z + 494, 0*z + 5*z = 3*q - 1526. Suppose -2*f - 2*o = -273 - 55, o - q = -3*f. Let a = -84 + f. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*p*y**5 - 3*p*y**2 - 11*p*y + p - 199495*y**5 - y**3 + 2453*y**2 + 2*y wrt y.\nAnswer: 120*p*y**2 - 11969700*y**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 594 and 54.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/(-8))\/((-404)\/((-229472)\/14910)).\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 6\/427, -9, -8\/5?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1495 = 4*w - g - 987, 0 = -4*w - 5*g + 2494. Is 47 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -20 + 105. Is t a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -133\/265158 and 67\/1708796?\nAnswer: 15379164","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Let j = -342 - -375.2. Let q = j + -36. Let p = q + -0.2. Which is the second smallest value? (a) -3\/5 (b) p (c) 0.05\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ff when two letters picked without replacement from {f: 10, r: 2}?\nAnswer: 15\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 4751093 divided by -6?\nAnswer: -4751093\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -32\/105 - 2\/21. Which is the nearest to q? (a) 2 (b) -2\/3 (c) 2\/5 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -13120012 + 1003?\nAnswer: -13113003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 18\/10 - 46\/(-230). Solve -14 = -4*l + b + 6, -d*l = 3*b + 4 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -15559 (base 14) to base 2\nAnswer: -1100111111001011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**13\/p)**(-31) assuming p is positive.\nAnswer: p**(-372)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*o**2 - 3*o**2 - 780564*o**3.\nAnswer: -780564*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a litre in millilitres?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ngnx when four letters picked without replacement from {x: 7, g: 7, n: 3}?\nAnswer: 7\/1360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Is 273 a factor of 19123923?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 9 = 0, -44 = -2*o - 5*q - 1. What is the smallest common multiple of o and 12?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -462, -3279, -8256, -15393, -24690, -36147?\nAnswer: -49764","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 57, 2, 1 in descending order.\nAnswer: 57, 2, 1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -14, -65, -162, -305, -494, -729?\n\"Answer: -23*f**2 + 18*f - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 203 minutes before 5:12 PM?\nAnswer: 1:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 91252297?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xgxgyjgggggjgtgjptg. What is prob of sequence jg?\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -667*-680.67.\nAnswer: 454006.89","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out 168101874773 + 4.\nAnswer: 168101874777","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Product of -5490 and 0.2032.\nAnswer: -1115.568","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:04 PM and 11:28 PM?\nAnswer: 564","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 4, g: 3, s: 1}. What is prob of picking 1 s, 1 g, and 2 v?\nAnswer: 9\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -107, -390, -861, -1520, -2367?\n\"Answer: -94*x**2 - x - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(28)\/(sqrt(4)*-1) - (sqrt(252) + -1 + sqrt(252)))*-4 - (sqrt(70)*1*5)\/((-1*sqrt(100))\/sqrt(10)))**2*-2 + 3.\nAnswer: -45515 + 912*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 566*i - 577*i + 77 = 0 for i.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 34648176 and 108275550.\nAnswer: 866204400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 64640*u**4 + u**3 - 41*u**2 - 359423961*u + 2?\nAnswer: 775680*u**2 + 6*u - 82","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.5, 1\/5, 4\/9, -0.43 in decreasing order.\nAnswer: 0.5, 4\/9, 1\/5, -0.43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 970 + -6788\/7. Factor 2\/7*w - i*w**2 + 4\/7.\nAnswer: -2*(w - 2)*(w + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 40291 and 14491.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -g**2 - 4*g. Suppose 0 = 2*n + 2*q + 2 - 6, -2*n - q = -4. Suppose -n*k = 2*b, b + 6 = 2*k - 9. What is p(b)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -45*z = -1492*z + 9990 + 11715 for z.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1914c (base 16) to base 10.\nAnswer: 102732","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2135 - 245. What is the tens digit of p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1621, 8248, 26231, 61246, 118969?\nAnswer: 205076","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 2 (b) -56 (c) -744578 (d) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-4 + 0 + 1)*2535\/(-9). Suppose -125 = 6*s - o. Does 40 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 876 - 875.9. What is the closest to 1 in -9, 3, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xxp when three letters picked without replacement from iiixkpixxxp?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11280 = -649*v - 56*v for v.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -77 - -89. Is (52\/b + -5)\/(4\/(-90)) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 12 - -21202101222?\nAnswer: 21202102011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express -107*u**2 + 70 - 205*u**2 - 16*u**2 - 67 in the form a*u**2 + r*u + j and give j.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101000 - 11000010110?\nAnswer: -11000111110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -5*b + 12. Let w(a) = -28*a - 108. What is -2*j(n) - w(n)?\nAnswer: 38*n + 84","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) be the first derivative of k**4\/18 + 310*k**3\/27 + 2369*k**2\/3 + 17986*k - 6696. Let x(q) = 0. Calculate q.\nAnswer: -69, -17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 10210, 9636, 8698, 7396, 5730, 3700?\nAnswer: 1306","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 99 - 178. Let s = -78.961 - h. Round s to 2 decimal places.\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 0.6994767nm?\nAnswer: 0.00000006994767","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -477.27 + 480. What is j rounded to one dp?\nAnswer: 2.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a = -3*h - 2, -4*a = -0*a - 8. Let y be (-356)\/(-2)*2\/4. Let c = y + h. Calculate the highest common factor of 17 and c.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -1434*a - 43053. Calculate o(-30).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = j**2 + 6*j. Let x be o(-4). Let s = 10 + x. What is s rounded to the nearest 10?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + z + 2)*(-2 + 1 + 4)*(43 + 0 - 6)*(5 - 28 + 5)*(0 + 1 + 0) to the form j + q*z and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n + 3 + 17 = 0, 5*f + 5 = -4*n - 2*n for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + (11 - 15 - -2)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 337 minutes before 1:10 PM?\nAnswer: 7:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 5863 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.55 - -0.5. Let l = -3.05 - -3. Let q = y + l. Which is the closest to q? (a) -2 (b) 1\/2 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.2 (b) 0.02 (c) 1\/6 (d) -5\/3 (e) 4\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 0*k**2 + 5 + 1 - 6*k - k**2. What is the units digit of z(-5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 2 = 4. Suppose f = 2*d + u, 8 = 3*d + 2*u + 3*u. Suppose -d - 7 = -4*j. Solve 4*t + 2 + j = 0 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-108)\/36)\/((-4)\/(-12)).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 397246, 1588909, 3575014, 6355561?\n\"Answer: 397221*r**2 + 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 3\/(-9)*33\/(-22)\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 67*x + 1053 + 1688 = -1444 + 433 for x.\nAnswer: -56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that x**3\/5 + 1385264*x**2\/5 + 95948371588*x + 383789053520 = 0.\nAnswer: -692630, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) be the second derivative of -g**3\/3 + 3*g - 26. Let d(o) = -122*o**2 - 4*o. Give h(d(w)).\nAnswer: 244*w**2 + 8*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 8897 + -8842. Solve 60*z = k*z - 20 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.34 + -4.64. Let m = t - -4. Let x be 8\/(-8) - 7\/(-8). Which is the third smallest value? (a) x (b) m (c) -2\/15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*h**3 - 2*h**3 + 3*h**3)*(9 - 4 + 7)*(3*h**2 + 0*h**2 - h**2).\nAnswer: 24*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:47 AM and 4:36 PM?\nAnswer: 589","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (3 - 0)*-1 - -5. Suppose -i*o - 1 - 3 = 4*x, -3*o + 4 = x. Suppose -o*h + 9*z = 4*z - 38, 0 = 4*h + z - 120. What is the tens digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine b so that -b**5 + 208*b**4 + 20469*b**3 + 213948*b**2 = 0.\nAnswer: -63, -12, 0, 283","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 2*c**2. Let d(y) = 125*y**2 - 194868. Determine d(b(o)).\nAnswer: 500*o**4 - 194868","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = 2*o + 8. Calculate the highest common divisor of o and 44.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (s**2 + 4 - 4)*(s**3 + s**3 + 0*s**3) + 19*s**5 - s**2 - s**2 - 16*s**5 - s**3.\nAnswer: 5*s**5 - s**3 - 2*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 19291466, 19291485, 19291504?\n\"Answer: 19*w + 19291447","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (l + 3*l - 3*l)*(3*l**2 - 7*l**2 + 3*l**2).\nAnswer: -l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) be the second derivative of 2*c**3\/3 + 95*c**2\/2 + 3*c - 1. Does 4 divide w(12)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -239 - -447835.79328?\nAnswer: 447596.79328","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) be the third derivative of 1\/42*l**7 - 1\/15*l**6 + 0*l + 0*l**4 + 1\/15*l**5 + 0*l**3 + 0 - 1\/336*l**8 - l**2. Find w such that m(w) = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -69\/560 and 3\/1960.\nAnswer: 3920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -z + 11. Is 7 a factor of c(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 23 - 18. Suppose 0*f - 4*f - 16 = -4*n, -5*f - n - 2 = 0. What is the units digit of (-2)\/f - (5 - g)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 143*n**3 + 3 + 13*n**2 - 15*n**2 + 149*n**3 - 65*n**3.\nAnswer: 227*n**3 - 2*n**2 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 9522*t**3 + 37536*t**2 - 2200*t + 32.\nAnswer: 2*(t + 4)*(69*t - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 1 t when two letters picked without replacement from uvuct?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ufkmi. What is prob of picking 1 k and 1 m?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor p**2\/4 - 1593*p\/4 - 7209\/2.\nAnswer: (p - 1602)*(p + 9)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 2, 0.1, 0.07, 3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 26.5 - 0.7\nAnswer: 25.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -a**5 + a**3 - a - 1. Let b(q) = 16*q**5 + 2*q**3 + 22*q - 2. Let v(k) = b(k) - 2*f(k). What is the second derivative of v(x) wrt x?\nAnswer: 360*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -10 - -12. Let s(y) = -3*y**r - 131*y + 131*y. Let d(x) be the third derivative of 19*x**5\/60 - 70*x**2 - x. Determine s(d(f)).\nAnswer: -1083*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*j**3 - 8*j**4 + j**2 + 2*j**3 + 10*j**2 wrt j?\nAnswer: -192*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*v - v**3 - 2*v)*(4 - 3 + 1) + 0*v**3 - 2*v**3 + 3*v**3 + (0 - 2 + 1)*(4 - 2 - 4)*(992*v - 2202*v + 843*v)*(4*v**2 - 2 - 3*v**2 - 1).\nAnswer: -735*v**3 + 2202*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out -123286359 + 11729.\nAnswer: -123274630","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 3 p when four letters picked without replacement from pwxpp.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand 8*k - 17*k**5 - 8*k + (-k + 4*k - k)*(-2*k**3 - k**3 - k**3)*(-k + 0*k + 3*k) + (4*k + 0*k - 3*k)*(-k**2 + k**2 + 2*k**4).\nAnswer: -31*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 0.03424, -2, 0.048 in descending order.\nAnswer: 0.048, 0.03424, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 39*u - 329. Calculate t(-8).\nAnswer: -641","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10227235?\nAnswer: 5, 311, 6577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:13 AM and 7:20 AM?\nAnswer: 67","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 6682137945?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -20\/3*h**2 - 8000\/9 - 1\/9*h**3 - 400\/3*h.\nAnswer: -(h + 20)**3\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1\/2)\/(((-52)\/(-1560))\/(16\/(-20)))\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 36482821, 36482824, 36482827, 36482830, 36482833?\nAnswer: 36482836","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1490 and 92\/3 + (136\/102 - 2).\nAnswer: 4470","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (21*h + 40*h - 9*h + 22*h)*(6 - 2 - 2)*(3*h**3 - 4*h**3 + 2*h**3).\nAnswer: 148*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 14 and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) be the second derivative of i**4\/42 + i**3\/3 - 30*i**2\/7 + 1092*i. Factor u(b).\nAnswer: 2*(b - 3)*(b + 10)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -3 (b) -1 (c) -3\/44\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 680 divided by 1.\nAnswer: 680","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -0.21, -91\/4, -0.1 in descending order.\nAnswer: -0.1, -0.21, -2, -91\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 837713.\nAnswer: 31, 61, 443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q + 5*q = -46*c + 89, 0 = 133*c - 137*c + 8 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -2220212010 (base 3) in base 11?\nAnswer: -3a210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*w**5 + 2*w**3 - 461*w.\nAnswer: 60*w**3 + 12*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*(-11)\/(858\/(-4)).\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express l**3 + 2*l**3 + 0*l**3 + (2*l + 2*l - 2*l)*(-2*l**2 - 3*l**2 + 6*l**2) + 1067 + 2*l - 7*l**3 - 1067 as t + a*l**2 + k*l + v*l**3 and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of w**3 - 16*w**2 - 1761093*w + 130542936 wrt w?\nAnswer: 3*w**2 - 32*w - 1761093","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uuulrrllluuruurrrlr. Give prob of picking 2 l.\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -a**3*j**3 - 7*a**3*j + 8*a**3 - 21*a*j**4 wrt j?\nAnswer: -6*a**3*j - 252*a*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/11, 5, -238015 in increasing order.\nAnswer: -238015, 2\/11, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -27*i - 64*i + 34*i to the form w*i + t and give w.\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*x**2 - 567*x - 570.\nAnswer: 3*(x - 190)*(x + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -145 + 305. Let g(j) = j**3 - 3*j - 2. Let c be g(-2). Calculate the remainder when q is divided by (c\/8)\/((-9)\/738).\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.01375 and 1803?\nAnswer: 24.79125","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11465.\nAnswer: 5, 2293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 6\/(-2) + 5\/1. Suppose -y + 2 = 0, -5*y + 35 = 3*r + g*r. Solve i + 10 = -2*q, q = i - r - 0 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 470 minutes before 3:42 PM?\nAnswer: 7:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in -43, 57\/2, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7566408, 15132817, 22699226?\nAnswer: 30265635","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 1619, 5289, 11015, 18797?\n\"Answer: 1028*q**2 + 586*q + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -110.11 - -110. Let h = -0.05 - d. What is the nearest to -0.1 in -2\/5, 3, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cc when two letters picked without replacement from {c: 5}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 69*m - 118*m**2 + 323*m**2 - 8*m - 61*m.\nAnswer: 205*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -48*o*w**2 - 1515*o + 8*w**3 with respect to w.\nAnswer: -96*o*w + 24*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-32)\/10)\/((-10)\/225). Suppose 0*u - 4*r - 51 = -3*u, -3*u + l = 3*r. What are the prime factors of u?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 643.\nAnswer: 643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.1287 and 6.033.\nAnswer: -0.7764471","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 49085871?\nAnswer: 3, 463, 35339","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -215, -434, -653, -872, -1091, -1310?\nAnswer: -1529","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.125431 + 0.025431. Let p = 3 + 3. Which is the fourth smallest value? (a) -5 (b) -0.5 (c) p (d) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -5*(6\/15 - 2). Let f = t + 47. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-10)\/2)\/((-70)\/4)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -j**2 - 2*j - 16 - 2*j**3 + j**3 + 2 + 13*j**2. Is f(11) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 159 equal to 58502\/369?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-1))**(-9\/5) assuming b is positive.\nAnswer: b**(9\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 625 is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z = -18*t + 21*t + 38, 5*t = 5*z - 40 for z.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 3697 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - -25 - (59 + 141 + -219)?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = w**3 + 3*w**2 + w + 3. Let s be y(-3). Suppose -f = -s*f. Suppose 3*t + 0*t - 573 = f. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -z + 1 - 2 + 0 + 4. Let v be b(0). Let o = 128 - 132. Put v, -3, -6, o in decreasing order.\nAnswer: v, -3, o, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -107.441 to one dp.\nAnswer: -107.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide 192966 by -3.\nAnswer: -64322","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (21*(-5)\/(-60))\/((-1)\/(-124))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 0*c - a = -2, 4*c = -4*a. Let q = c - -3. Find the second derivative of -2*g**3 + g - q*g - g wrt g.\nAnswer: -12*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 19.304 + -18.304. Put -2\/5, -0.5, -4, a, 1\/2 in increasing order.\nAnswer: -4, -0.5, -2\/5, 1\/2, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*b**2\/3 - 2448*b - 7348\/3.\nAnswer: 4*(b - 1837)*(b + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express w**2 - 7*w**2 + 4*w**2 + (-3837 + 3837 - 137*w)*(3*w - 2*w + 13*w) as z*w + f*w**2 + c and give f.\nAnswer: -1920","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -43*l**2 + l**3 + 49*l**4 + l**3 - l**3 + 27 + 44*l**2 wrt l.\nAnswer: 1176*l + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 120023231 (base 7) to base 16.\nAnswer: 712fee","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is s in 14*s**3\/9 - 122558*s**2\/9 - 227660*s\/9 + 35024\/9 = 0?\nAnswer: -2, 1\/7, 8756","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.402 to two dps.\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 34*s*z**5 - 5*s*z**2 - s*z + 13*s + 391*z**4 + 2779 wrt z?\nAnswer: 680*s*z**3 - 10*s + 4692*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -2*t**2 + 59*t - 144. Let u = -647 + 674. Let l be m(u). Let g(r) = r**2 + 10*r - 9. Calculate g(l).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + 73 - (4564 - 4439).\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u = -2*j + 324, -60*j - 3*u + 507 = -57*j. Calculate the lowest common multiple of j and 20.\nAnswer: 3340","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000140094703 to 7 dps.\nAnswer: -0.000014","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -548*v - 24610. Calculate s(-44).\nAnswer: -498","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 79\/263268 and 119\/73130?\nAnswer: 1316340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 235?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 45\/194 and (-3 + (-66)\/(-21))\/(30\/2485).\nAnswer: 582","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*r**3 + 2*r - 70*r**3 + 2*r**3 + 8231*r**4 + 32*r**2 - 8233*r**4 in the form c*r**2 + n + i*r**4 + h*r + j*r**3 and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 11*u + 22. Let b(g) = 3*g - 18. Let z be b(6). Let w be (1 - 6)\/(z - 1). Is h(w) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3.1 - 3. Let z = -0.13 + 0.13. Is z < m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -24*m + 55. Calculate r(8).\nAnswer: -137","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3.91 - -0.09. Let y = -314 - -306.1. Let s = 8 + y. What is the closest to s in -2, 0.2, k?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 4*s. Let r(v) = 8*v. Suppose 23*d = 30*d - 77. Give d*z(i) - 6*r(i).\nAnswer: -4*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*s + s + 18*s + (-2*s - 4 + 4)*(-7 + 12 + 2).\nAnswer: s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + -1 + -2 + (sqrt(768)*2)\/sqrt(4))**2.\nAnswer: -256*sqrt(3) + 832","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 714 divide 64113686?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w - 3*k - 6 - 12 = 0, -w - 14 = 5*k for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 145 a factor of 1843570?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 665897 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (22\/(-5) + 4)*(-4 + (-11 - 38950))?\nAnswer: 2, 7793","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = -15 + 7. Find the third derivative of m*n**5 + 0*n**6 + 4*n**6 + 2*n**6 + 58*n**2 - 5*n**5 wrt n.\nAnswer: 720*n**3 - 60*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 486.6642 millennia to years.\nAnswer: 486664.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1016331?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.09 in 4\/7, -40, 1, -1\/4, -1?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 87157783 to the power of 1\/3, to the nearest integer?\nAnswer: 443","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (35\/7)\/(-105)*1*-6. Sort 28, 83, k in ascending order.\nAnswer: k, 28, 83","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*t - 3*t + 2*t + (4 - 1 - 1)*(2*t + t + 0*t) + 4*t + 2*t + 5*t + t - 4*t + t.\nAnswer: 16*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -90*n + 97984 - 121955 = -370381. What are the prime factors of n?\nAnswer: 3, 1283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 - 5 = 3*r for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000013014 rounded to 6 decimal places?\nAnswer: 0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 15435?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1423 + -15655\/11. Sort -2, 5, a, 0.\nAnswer: -2, a, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3506 is divided by 64?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.092967 rounded to two dps?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 68025 and 38434125.\nAnswer: 38434125","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2392 + 8468. Does 62 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*g*p**2*y - 96*g*p**2 + 2*g - 58*p**2*y wrt y.\nAnswer: -2*g*p**2 - 58*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 374 minutes after 2:21 AM?\nAnswer: 8:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 234 and 4368186.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 63 = -2*b + c, 3*c + 33 = 3*b. Let i = b - 32. Let m = i + 30. What is the highest common divisor of m and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((1 + 5)*2\/(-8) + 1)\/((-20410)\/1256).\nAnswer: 2\/65","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11010100 - -1?\nAnswer: -11010011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 496 minutes before 10:55 AM?\nAnswer: 2:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -2816*k - 3048. List the prime factors of d(-27).\nAnswer: 2, 3, 3041","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3341 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -31*u + 3. Let a be j(-4). Let w = -83 - -13. Let i = a + w. List the prime factors of i.\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18392521 is divided by 15774?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 305083 to the nearest integer?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -761 * -0.1\nAnswer: 76.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 32120 (base 5) in base 12?\nAnswer: 1300","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00014085133 rounded to five dps?\nAnswer: -0.00014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 606178?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 69, 71, 75, 81, 89?\nAnswer: 99","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -k**3 + k**2 - 2*k + 1. Let m(n) = 7*n**3 - 15*n**2 + 20*n - 3. Let j(i) = -2*m(i) - 18*z(i). Let j(c) = 0. What is c?\nAnswer: -3, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s - 2*h - 24 = -5*h, s - 5*h = -24. Let c(r) = r + 1. Let w(v) = -3*v - 3. Let d(i) = -5*c(i) - 2*w(i). Calculate d(s).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 8*s*z**3 + 1258*s*z + 572211*s - 2*z**4 + 2 with respect to z.\nAnswer: 24*s*z**2 + 1258*s - 8*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.5, 34, -1.8, 0.3, 2162?\nAnswer: -1.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -75.5 - -73. Let o = 47.01479 - 44.5142. Let c = o + n. Round c to four decimal places.\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -178*a - 472*a = -9265 + 60615 for a.\nAnswer: -79","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -880620563 + 880620530.00000264. Let a = 33 + y. What is a rounded to seven dps?\nAnswer: 0.0000026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 35993 is divided by 6936.\nAnswer: 1313","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 1477535682?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13479.\nAnswer: 3, 4493","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (0 - 5)*14\/(-35). Let l(r) be the third derivative of r**6\/120 - r**5\/30 + r**4\/8 - r**3\/2 - r**2. Determine l(k).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2346 to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((6\/(-2))\/(-3))\/(22\/(-4)).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*i**4\/7 - 9*i**3\/7 - 291*i**2\/7 + 297*i\/7.\nAnswer: 3*i*(i - 11)*(i - 1)*(i + 9)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-5*m**4 + 3*m**4 - 3*m**4)*(4 - 7 + 4) + (3*m + 2*m + 2*m)*(m**3 + m**3 - m**3))*(-m + 3*m + 0*m + 1).\nAnswer: 4*m**5 + 2*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -h - 1. Let v be t(-3). Let y(m) = m - 2*m**3 + m**2 + m**3 + 2*m + v. Suppose 22 + 2 = -12*k. Give y(k).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i*i**(-18\/7))\/i*i*i)\/i)\/(i*i**(-2\/17)*i)*i*i*i**(-26)*i**(-4\/5) assuming i is positive.\nAnswer: i**(-16811\/595)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 23869, 23875, 23881, 23887?\n\"Answer: 6*b + 23863","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 12 + -6. Let x = 4 + r. Calculate the lowest common multiple of x and 8.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1954947 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -40*v**2. What is w(1)?\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l = 3*p - 0 - 17, -4*l + 17 = -5*p for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -3*t**2. Let l(m) = -m**2 + 4*m - 4. Let a(w) = -w**2 + w - 1. Let f(i) = 12*a(i) - 3*l(i). Determine j(f(q)).\nAnswer: -243*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -2 + 70 - ((-47 - (-32 + 23)) + 44)\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 49318 is divided by 182.\nAnswer: 178","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 222643 - 0?\nAnswer: 222643","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -38021*r**5 - 7*r + 169 wrt r.\nAnswer: -760420*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -2*o**3 - 9*o**2 + 9*o + 2. Let t be w(-8). Suppose i = 165 + t. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 9 and 1011?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -151*f*g*p**3 + 5*f*g*p - 20*f*p**2 - 75*p**3 wrt g.\nAnswer: -151*f*p**3 + 5*f*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-j**2 + 4*j**2 - 4*j**2 + (-3*j + j + 4*j)*(4*j + 2*j - 5*j) + 2*j**2 - j**2 + 0*j**2)*(3*j - 2*j + 0*j).\nAnswer: 2*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.007 in 1\/7, 0.249, -2\/5, -2?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 23 - (-9)\/(-12)*4. Suppose -5*n + 2*s = -p, -5*s - 8 = -6*n + 4*n. Suppose -4*l = 4*f - 40, 5*l - 1 = -2*f + n. Is f a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2\/(-7) + 220\/35. Suppose -c - f = 5*n + 4, 0 = 4*c - 2*n - 4. Let d = -39 - -39. Solve d = -4*y - r + 2 - c, -4*r = -y + 9 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 219 and 21.\nAnswer: 1533","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -0.384 times 448\nAnswer: -172.032","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 0.21, 352 in descending order.\nAnswer: 352, 0.21, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -r + 4. Let o be k(1). What is the first derivative of -9 - 1 - 4 + 0 + 3*s**o wrt s?\nAnswer: 9*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 925\/1320 - ((-10)\/(-6) + -1). Let t = -1653 + 1653. Is t != h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18859 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -276 + 550 - 276 - 4*p**2 in the form v + s*p + q*p**2 and give q.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 557 from -120239651.\nAnswer: -120240208","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n**3 - 42*n**2 + 1911*n - 10290 = 0. What is n?\nAnswer: -35, 7, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1109935 or -1109548?\nAnswer: -1109935","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t\/t**(2\/27)*t**(-3\/2)*(t\/t**17)\/(t\/t**(-5)) assuming t is positive.\nAnswer: t**(-1219\/54)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*h - 42*h + 230 = 0. Solve -z - 2*z - h = -2*k, -2*z = 10 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 193*a**2 + 3*a - 1. Suppose -2*f + 36 = 2*x, 2*x + 0*x - 90 = -5*f. Suppose -3*h - 21 = -f. Does 40 divide s(h)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*s**2\/5 + 98*s\/5 + 2584\/5.\nAnswer: -2*(s - 68)*(s + 19)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 1120111340 (base 5) to base 2\nAnswer: 1001100011010100100010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, -0.07, 5, 3 in decreasing order.\nAnswer: 5, 3, -0.07, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 522.\nAnswer: 2, 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 620 minutes after 4:18 AM?\nAnswer: 2:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -4*y**3 + y**2 + 2*y + 1. Let d be u(-1). Suppose 2*q - 108 = -4*a, -d*a + 192 = 4*q - 4. Calculate the highest common factor of 66 and q.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 u and 1 v when four letters picked without replacement from uuvvvuvuvu.\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) be the second derivative of z**6\/210 + 3*z**5\/140 - 2*z**3\/21 + 142*z. Factor v(m).\nAnswer: m*(m - 1)*(m + 2)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -u**3 - 2*u**2 + u + 2. Let b be v(-2). Suppose b = -t - t. Is t equal to 1\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 28 by -30996.\nAnswer: -1\/1107","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 96 = 5*v, -3*v - 5*u = -31 - 9. Let a = -14 + 3. Let w = v + a. What are the prime factors of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5845*d**3 - 3*d + 2359 wrt d?\nAnswer: -35070*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -16 + 20. Let q = -5 + 11. Suppose 3*b = 3*p - 4*p + 17, 0 = p - 4*b + 11. Solve 0*l + l - r*s = -q, -5 = 5*l + p*s for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*x**2 - 2734132*x - 87496320.\nAnswer: 4*(x - 683565)*(x + 32)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1 + 14c?\nAnswer: 14d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (-45)\/(-70)*688\/(-172)?\nAnswer: -18\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 14*y**3 - 7*y + 3. Let l(i) = 13*i**3 + i**2 - 7*i + 4. Let p(w) = 5*l(w) - 4*v(w). Let j(s) = -8*s**3 - 4*s**2 + 6*s - 7. Determine 7*j(q) + 6*p(q).\nAnswer: -2*q**3 + 2*q**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 240 and 528.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 78 + (-88 + 18 - -39).\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*b + 3*b + 2*b)*(3*b**2 + 0*b**2 + b**3 - b**2) - b**3 + 5*b**4 + b**3.\nAnswer: 4*b**4 - 2*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 7, h: 2, g: 4, b: 1, a: 1, w: 3}. What is prob of picking 1 a and 1 h?\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -18 divided by 3978413?\nAnswer: -18\/3978413","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 175 + 81 + 81 - 337 - 34*d**2.\nAnswer: -34*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Product of 4 and -20.\nAnswer: -80","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h + 20 = -8*h for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 739595 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 1.2, 0.3, 2, 2\/3 in descending order.\nAnswer: 2, 1.2, 2\/3, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 86?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = k**2 + 11*k - 21. Let q(s) = s**3 + 21*s**2 + 9*s + 175. Let f be q(-21). Let t be c(f). Suppose 0 = 4*x - 9*x + 20. Solve -x*p - 5 = -t for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-6)\/(-15) + (-24806)\/(-10). Let q = i + -12444\/5. What is the common denominator of q and -2\/11?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 65 and 247.\nAnswer: 1235","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m - g + 55936366 = -28063631, -g - 3 = 0. What is m rounded to the nearest 1000000?\nAnswer: 17000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/((-112)\/(-14)))\/(((-3)\/(-22))\/3)\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(-1)\/d*d\/(d*d\/(d*d*d*d**(1\/3)*d*d)*d) assuming d is positive.\nAnswer: d**(4\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 1122214201 (base 5) to base 11\nAnswer: 1484388","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 80075?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2\/(-2)*(-18)\/(-6). Let h(m) = -4 - 2 + 5 + 10*m. Let j(s) = -21*s + 1. Let i(b) = 9*h(b) + 4*j(b). Let q(u) = 2*u - 2. Calculate p*i(v) + 8*q(v).\nAnswer: -2*v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 114041\/1936 or 59?\nAnswer: 59","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 13) in base 9?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -4 and 404.\nAnswer: -1616","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -662 = -31*k + 12234. Is k a multiple of 53?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -2 + 4 + 3 + -1. Suppose k*x - 335 = -67. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 17399 - 17398.08. What is the closest to 0.024 in 2\/3, -3, c?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.0549*-1.708323\nAnswer: 0.0937869327","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 3, g: 1}. What is prob of picking 2 i and 1 g?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 43281 (base 9) to base 10\nAnswer: 28666","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-26)\/(-65))\/(0 - (-2)\/190). Suppose 2*z + 2*c = 28, -5*c + b = 3*z - 0*z. Solve -5*h = -h + z for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -878*u**4 + 3*u**3 + 321*u**2 - 14376068*u wrt u?\nAnswer: -10536*u**2 + 18*u + 642","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 8603390 and 760?\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -40 - (-21 - 0) - -23?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.24 plus 6464.43498?\nAnswer: 6462.19498","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in seven halves of a millimeter?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find z, given that z**5\/4 + 263*z**4\/6 - 443*z**3\/6 - 43*z**2\/3 + 883*z\/12 - 59\/2 = 0.\nAnswer: -177, -1, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 24*u + 35*u + 5*u + 4*u + 3.\nAnswer: 68*u + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1897769 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (0 + 3 - 3)\/1. Factor 0*n + k - 2\/7*n**4 + 0*n**2 + 2\/7*n**5 + 0*n**3.\nAnswer: 2*n**4*(n - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*w - 7*w + 112. Suppose 78*h - w = 76*h. Calculate the highest common factor of h and 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -190*z - 190 = -209*z. Let a(s) = 2*s - 9. Let h be a(7). Solve -5 = u + h*m, 3*u = u + m - z for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -3*o**3 - 5*o**2 + 3*o + 26. What are the prime factors of z(-5)?\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 at most -6078\/10811?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c + 33 = 105. What is the greatest common factor of c and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 2*h + 1. Let k be s(1). Suppose -3*p + 1 + 7 = c, k*c - 12 = -3*p. Solve -6*t = -c*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-14)\/(-63)*3*1.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 122634 is divided by 1986.\nAnswer: 1488","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-8)\/770*5)\/((-1462)\/(-119))*-22?\nAnswer: 4\/43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q - 3*r - 30 = r, -4*r + 30 = -5*q. Let y(s) = -78*s - 29. What are the prime factors of y(q)?\nAnswer: 439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 21354 (base 8) to base 14\nAnswer: 3388","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -s**2 + 5*s + 8. Let n be i(7). Let k be n - 4\/(-3 - -1). Which is the third biggest value? (a) 0.4 (b) 2\/17 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (35090\/1155)\/(1738\/474).\nAnswer: 58\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 7101650*z**4 + 10846579*z.\nAnswer: 85219800*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(-1\/38)\/j**(1\/31)*(j*j*((j*j**(9\/4)*j)\/j)\/j)**(-2\/5) assuming j is positive.\nAnswer: j**(-5179\/2945)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29 = -m - 3. Suppose m = n - 0. What is the units digit of n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 1 a when two letters picked without replacement from {w: 3, m: 12, a: 2}.\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 4150426 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand f**3 - 4*f**3 + 6*f**3 + f**3 + 4*f**3 - 3*f**3 + (f**2 + 5*f**2 - 5*f**2)*(f - 4*f + 4*f).\nAnswer: 6*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 4\/(-6) - 16\/(-24). Let h(s) be the third derivative of 0*s - 1\/30*s**5 + o + s**2 + 0*s**4 + 0*s**3. Let p(q) = 3*q. What is p(h(v))?\nAnswer: -6*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -152 - -342. Suppose 5*x - b - 125 = 0. What is the units digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 times -0.343\nAnswer: 1.029","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -11 - -11. Let w = -0.4 + h. What is the nearest to -2 in -0.2, w, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) be the first derivative of -2*y**2 - 2161. Let i(t) be the second derivative of t**4\/3 - t. Give v(i(q)).\nAnswer: -16*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-486)\/729)\/(5\/30).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 45 + -32 + (-28 - -4)\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 567*m**3 - 44*m**2 - 27*m + 219. Let f(y) = 63*y**3 - 5*y**2 - 3*y + 25. Determine 35*f(j) - 4*h(j).\nAnswer: -63*j**3 + j**2 + 3*j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) be the third derivative of -23*j**7\/210 - j**5\/10 + 16*j**2. Find the third derivative of f(i) wrt i.\nAnswer: -552*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*v - 2*i = -4, -i - 7 + 13 = -4*v for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/15 greater than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -2*t. Suppose -6 = -2*x + 4. Let l = 7 - x. Let o(i) = -3*i**l + 3*i**2 + i**2. What is z(o(k))?\nAnswer: -2*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 9, 11, 13, 15, 17?\n\"Answer: 2*r + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 13 + 223210?\nAnswer: 223223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0, -5, -0.4, -3\/2, 15.8, 4\/25?\nAnswer: 15.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c = 4*q - 30, 22*q - 120 = -4823147*c + 4823143*c for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*p - 81*p**3 - 4*p - 3*p + 4*p.\nAnswer: -81*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 16*j**2 + j - 2. Calculate the remainder when t(-2) is divided by 2*11 + 4 + (-15)\/3.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 19 and 135947?\nAnswer: 2582993","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 877 a factor of 2498504?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3301 + 3303. Which is the nearest to 1? (a) 1\/2 (b) p (c) 1\/494\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*t - 6*t = -5*h - 23, 0 = t - 3*h - 9 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - (12 - 9 - (1 - 1))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1\/6, 1\/114, 0.2, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2 + sqrt(63))**2 - (sqrt(7) + (2*sqrt(14)\/sqrt(2) - sqrt(7))**2)) + 1.\nAnswer: 11*sqrt(7) + 61","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (b + 9 - 1 + 3)*(-33 - 20 + 6)*(4*b**4 + 0*b**4 - 3*b**4).\nAnswer: -47*b**5 - 517*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28*k**2 + 480*k**3 + 28*k**2.\nAnswer: 480*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-132)\/308 - (-107)\/21 - (-4)\/(-24).\nAnswer: 9\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -w**3 + 24*w**2 - 122*w - 1. What is x(6)?\nAnswer: -85","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -24\/5 or -107?\nAnswer: -107","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 11, 3, 6, -6 in ascending order.\nAnswer: -6, 3, 6, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2250.258 decades to centuries.\nAnswer: 225.0258","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*m + 3*s = 6*s - 13, m - 3*s + 1 = 0 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-560 + 919 - 698 - o - 8*o)*(o - o + o).\nAnswer: -9*o**2 - 339*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y when two letters picked without replacement from {b: 1, n: 1, y: 7}?\nAnswer: 7\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2115948893?\nAnswer: 2115948893","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 57112 - 57111.3. Let i = -0.09 + 0.79. Let c = i - 1. What is the second smallest value in -1, c, s?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -15 + 27. Suppose 2*h + 10 = w. Are h and 3\/16 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -117 + 120. Suppose -9 = 4*i - 5*x, -b*i + 5*x - 3 = -5*i. Is -1\/2 less than or equal to i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -68 + 10?\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -y**2 + 174416*y + 3139836. Give a(-18).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 132, 1030, 3456, 8172, 15940, 27522?\n\"Answer: 127*u**3 + 2*u**2 + 3*u","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1584.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u - 15 = -5*u. Solve u*x + 3 = 0, 2*h - 8 = 4*h + 2*x for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that q**5 + 48*q**4 - 52*q**3 - 142*q**2 + 243*q - 98 = 0.\nAnswer: -49, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 14, 53, 118, 209, 326?\n\"Answer: 13*l**2 + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1025.\nAnswer: 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3\/2, -8\/5, 2\/15, 4?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1604 = -4*j + 1276. Let n be (10 - j\/70)*14\/(-10). Which is bigger: 35 or n?\nAnswer: 35","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -164*i + 3123. Give d(19).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 1.13869 times -23\nAnswer: -26.18987","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -34233382*k**3*u**2 - k**3*u - 3*k**3 + 187825*k**2*u + 2*k wrt u?\nAnswer: -68466764*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 108\/1483 + -184227\/2590801. Let s = o + 96067\/10482. Calculate the common denominator of s and -31\/6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 270371 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*q + 14 = 3*o, 19*q - 18*q - 14 = 5*o for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -4*v - 5. Let a(r) be the second derivative of r**3\/6 + r**2\/2 - 2495*r + 3. Calculate -6*a(j) - i(j).\nAnswer: -2*j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 27332, 54670, 82008, 109346, 136684?\n\"Answer: 27338*g - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*t*x + 98*t - 325*x wrt t.\nAnswer: 2*x + 98","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = q**2 + 2*q - 3. Let c be y(-3). Solve c = 5*m + 2*i + 27, m = 3*i - 2 - 0 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -6*v**2 - v + 5. Let i(k) = k**2 + 1. Let c(a) = -5*i(a) - n(a). What is c(0)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-42)\/18*(-7)\/(686\/1428)*(-9)\/18.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 392874113?\nAnswer: 16631, 23623","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 2456*t**2. Let n(h) be the second derivative of -h**4\/12 + 12*h - 4. Calculate d(n(g)).\nAnswer: 2456*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 506 is divided by 250?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -813 (base 14) to base 13.\nAnswer: -94c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 27 - 296\/11. Let z = 0.2198 + -0.5198. Which is the nearest to 1\/4? (a) z (b) -0.2 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide 17371807?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 6403*v**5 - 45*v + 176.\nAnswer: 128060*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5623 is divided by 330?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -p**2 + 2*p + 16. Let o be k(5). Let y(n) = -n**3 + 4*n**2 + 5. Let m be y(4). Which is the closest to -2.2? (a) -2 (b) m (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -f**2 - 8*f + 4. Let n be y(-9). Let w = -19 - -35. Suppose -m + w = 3*m. Sort m, 0, n in ascending order.\nAnswer: n, 0, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 502270 divided by 5?\nAnswer: 100454","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1 + (-8)\/10 - 88200036\/180. Round f to the nearest one hundred thousand.\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -2265325, -2265326, -2265327, -2265328, -2265329, -2265330?\n\"Answer: -h - 2265324","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = b**3 + 13*b**2. Let s be z(-13). Solve -6 = -2*p + 2*n, p = -s*p - 3*n - 17 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 292583, 291002, 289421, 287840, 286259, 284678?\n\"Answer: -1581*z + 294164","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3.14 + 3.54. Which is the third biggest value? (a) 0 (b) n (c) -0.16\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) be the second derivative of 447*y**8\/28 + y**6\/30 - 2891*y**4\/12 - 415*y. What is the third derivative of t(r) wrt r?\nAnswer: 107280*r**3 + 24*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 3*z**2 - 3*z + 0 - 3 - 1. Suppose 5*m - 17 = x, -m = 3*x - 0*x - 13. Is b(x) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.15 + -0.05. Is 3\/4 at most j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + 2*(-6*(sqrt(891) + -4) - (2*sqrt(891)*-4 - sqrt(891)))**2.\nAnswer: 2592*sqrt(11) + 17195","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -18429, -151222, -511657, -1213554, -2370733, -4097014, -6506217?\nAnswer: -9712162","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 4506 - -39?\nAnswer: 4543","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18*t**3 + 11*t**3 + 5*t**3 - 15 + 15.\nAnswer: -2*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 2*c + 3)*(6*c**3 - 6*c**3 - 5*c**4) + 5*c**5 - 4*c**5 - 3*c**5 + (2*c**2 - 4*c**2 + 4*c**2)*(3 - 3 - 2*c**3).\nAnswer: -16*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s + 4 + 4 = -3*m, 20 = 5*s + m for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000706934 rounded to seven dps?\nAnswer: -0.0000071","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 133\/2*(3\/(-1) + 13)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 101359 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -4*h - 2*c, -7*h + c = -3*h - 20. Solve -n = -h*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -v + 7 - 2. Suppose 0 = 5*a - v - 5. List the prime factors of a.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 + 17 = 4*p. Suppose -3*a + p + 4 = -2*u, -u + 3 = 0. Suppose -a*f = -3*l + 15 + 12, 0 = l - 4*f - 16. What is the units digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -267, -270, -273, -276?\n\"Answer: -3*d - 264","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) be the third derivative of 95*x**4\/12 + x**3\/3 - 4*x**2. Let q be n(2). Suppose -q = -2*p + 120. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 40135364 is divided by 3196.\nAnswer: 3192","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -78, -412, -978, -1782, -2830?\nAnswer: -4128","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11 = 7*q - 3 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -b + 4. Let m(d) = 2*d - 5. Let u(i) = -5*g(i) - 4*m(i). Let f be u(-16). What is the third derivative of -6*s**5 + f*s**2 - 44*s**2 - s**5 wrt s?\nAnswer: -420*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor b**4\/6 + 2035*b**3\/3 + 4067*b**2\/2.\nAnswer: b**2*(b + 3)*(b + 4067)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 14328?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 5009256 a multiple of 378?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (68 - (61 - -60)) + 8\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 a factor of 4203?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 528 - 18424?\nAnswer: -17896","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 5*u - 16 - 39 = 0, -5*q + 2*u + 85 = 0. Let j(h) = -h**2 - 13*h - 30. Let n be j(-9). Let m = q + n. List the prime factors of m.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 535676193 a multiple of 5923?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j - 2 = -2*j. Let h(f) = j + 10 + f - 2 - f**2. What is h(0)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1198839 to the power of 1\/6, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 229763 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4*12.\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*k**2 - 10*k**2 + k + 36*k**2 - 14*k**2.\nAnswer: 8*k**2 + k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = -3*y - 5*s, 5*y + 12*s - 13*s - 12 = 0 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 7\/122 and 127\/18.\nAnswer: 1098","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 11 (base 5) to base 8\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 21994 and 53414?\nAnswer: 373898","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -2, 62, -6\/7, 20, -5, -3\/4?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -5*r**3 + r. Let k be a(-4). Let g be (4\/(-8))\/(2\/k). Let u = -26 - g. What is the remainder when u is divided by 14?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6333592717 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or 3\/1104905?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Add together 6585417 and 6216.\nAnswer: 6591633","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 47435 is divided by 332?\nAnswer: 291","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = -l - 3*l + 12, 8 = -2*n. Suppose 132 = l*f + 138. Put f, 5, 4 in ascending order.\nAnswer: f, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = -r, -u = -2*u + 3*u + 2*r. Solve u = -30*h + 23*h + 14 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20 = 39*l - 43*l for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -v**2 + 43. Let w(l) be the third derivative of l**7\/2520 - l**5\/60 - 2*l**3\/3 - 44*l**2. Let k(x) be the third derivative of w(x). What is k(f(s))?\nAnswer: -2*s**2 + 86","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-8)\/(-20))\/(6*(-64)\/(-240)).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 259091 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -157 + 83 - 108*v + 74 in the form s + b*v and give b.\nAnswer: -108","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 73706822 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 d be (6\/(-4))\/((-2)\/68). Let p = d - 48. Let c(w) = 2*w**2 - 3*w - 2. What is c(p)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-100)\/(-26) - 18\/(-117). Suppose h = -0*h, t*a - 24 = 2*h. Determine n, given that a*n**4 + 3*n**3 - 6*n**2 - 2*n + 2*n**3 - 7*n**3 + 4*n**5 = 0.\nAnswer: -1, -1\/2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 814907 is divided by 62685.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*o**4\/9 - 186712*o**3\/9 - 645511776*o**2 - 6692234369184*o + 66986915617440.\nAnswer: -2*(o - 10)*(o + 31122)**3\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 274071 and 39711?\nAnswer: 16718331","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*c**5 + 4248*c**4 + 225160*c**3 - 396560*c**2 + 100788*c + 66392 = 0. Calculate c.\nAnswer: -43, -2\/7, 1, 193","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 61*h**2 + 22*h - 200. List the prime factors of c(6).\nAnswer: 2, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -25 + 37. What is the remainder when 6\/39 - (-1359)\/39 is divided by g?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -172279483 - 1\nAnswer: -172279484","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is y in -16000*y**4 + 546400*y**3 - 81720*y**2 + 4082*y - 68 = 0?\nAnswer: 1\/20, 34","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 5755\/2 - 2934. Let r = 22 + b. What is the common denominator of r and (1 - (3\/(-32) - -1))*50?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*o + 3*o + 4762*o**2 + 2*o**3 - 4762*o**2 - o**4 to v + n*o**3 + j*o + h*o**4 + l*o**2 and give n.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xy when two letters picked without replacement from {a: 1, s: 1, x: 2, y: 2}.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w = 2*n - 26, -4*w + 0*n + 2*n = -6. Suppose w*t = -h + t + 139985, -5*h + 3*t + 700015 = 0. What is h rounded to the nearest one hundred thousand?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.070718 + 1?\nAnswer: 1.070718","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 - -6 - (-18 - -51)?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -5 - 40255261?\nAnswer: -40255266","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2095 - 2100. Which is the second smallest value? (a) -5\/2 (b) 0.03 (c) 0.5 (d) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-35 - -14) + 256\/8. Let h(g) = g**2 - g - 8. Let d be h(-7). Suppose b = -3*b + d. Solve -b*u - 3 = -t*u for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.06144141 * 107.\nAnswer: -6.57423087","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 23562 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = f**3 + f**2 - f - 1. Let j(a) = -3*a**3 - 2*a**2 + 7*a + 1. Determine j(s) + 2*x(s).\nAnswer: -s**3 + 5*s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 16) in base 13?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5 in 4, -2, -3\/2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 86265373 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -97*b**2 - 1567*b**3 - 497*b**2 + 520*b**3 - 297*b**2 wrt b.\nAnswer: -6282","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -514587 + -2?\nAnswer: -514589","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) be the third derivative of k**5\/40 - 19*k**3\/2 - 67*k**2. Let s(f) be the first derivative of q(f). Let c(d) = -d. Calculate s(c(n)).\nAnswer: -3*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/(-15))\/((-4)\/(-50))\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g = 202 - 52. Let j be 1\/(2*((-25)\/g + 1)). Solve 0 = -j*v - 31 + 28 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 255 = -14654*u + 14639*u for u.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 9*x**2 - x + 1. Let k = 12 + -11. Let z be h(k). Let o be ((-6)\/4)\/((-2)\/108). What is the highest common divisor of z and o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*u + 11*u - 41 = 4*a, 0 = -5*u + a + 29. Suppose 3*f = 6, -4*y - 2*f + u = 1. Factor 2\/5*k + y - 1\/5*k**2 - 1\/5*k**3.\nAnswer: -k*(k - 1)*(k + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 17902?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/((-12088)\/(-2880) - 4 - (-30)\/(-135)).\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 3, c: 5, z: 1, y: 1, t: 2}. What is prob of picking 2 c and 1 t?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 3441275 (base 9) in base 3?\nAnswer: 10111101022112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -13646*z - 81854. Determine q(-6).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1.5 or -16?\nAnswer: -16","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 8\/(-10)*45\/(-18). Suppose -5*o = -3*b - 29, -o + 8 = -q*b - 2. Calculate the lowest common multiple of 2\/(-8) + (-18)\/(-8) and o.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1046690952?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 3*s - 2*s - n, -3*s - 3*n + 39 = 0. Suppose 0 = -4*y - y + w - 9, 0 = -y - 2*w - 4. Let r be 4\/(-84) - y\/6. Is s bigger than r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 353 is divided by 38.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 40, 146, 316, 544, 824, 1150, 1516?\nAnswer: 1916","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-108)\/18)\/((-6)\/4). What is the greatest common divisor of b and 20?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -165.04 - -165. Which is the third smallest value? (a) 0.1 (b) -1\/7 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -3*w - 1. Suppose -4*x = -8*x + 12. Let j be c(x). List the prime factors of (-2)\/j + (-908)\/(-10).\nAnswer: 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + (-11 - -9) - (-20 + 4 + -4 + 4).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -144 and 64.\nAnswer: -9216","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 - 1)*(3 - 5 - 1)*(-4 + 2 + 6)*(3 - 2*l - 3)*(16*l**2 + 16*l**2 - 28*l**2).\nAnswer: -96*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -4*g + 17. Suppose 4 = p, 0 = 2*b - 3*p - g*p - 15799980. What is b rounded to the nearest one million?\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) be the first derivative of -3*h**4\/8 - 2*h**3 - 3*h**2 + 37. Find b, given that g(b) = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1122, 1129, 1038, 801, 370, -303, -1266?\nAnswer: -2567","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1808)\/(-1582))\/((-2)\/(-14))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) be the first derivative of n**2\/2 - n - 479. Suppose 8*v + 0 = -16. Let l be (5 - 0)*v\/5. Let r(q) = -2*q + 3. What is l*r(h) - 5*m(h)?\nAnswer: -h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*l = 1957 - 367. Suppose l*y - 261*y = 1056. Is 7 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 256261202?\nAnswer: 2, 47, 2726183","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -258 = -1468*o + 1382*o for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -2*g**2 + 15*g - 23. Let z be h(5). Suppose 72 = z*n + 2*d, 2*d - 7*d - 100 = -2*n. Calculate the smallest common multiple of n and 5.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -z - 1 + 5. Let h = z + -4. Suppose 4*s - 52 = -2*m - h, -3*m + 65 = 5*s. What are the prime factors of s?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 60937?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 6, y: 5, d: 4}. What is prob of sequence zyzz?\nAnswer: 5\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4 + 0 - -10) + (21 - 9)?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2301, -5389, -8479, -11571, -14665?\nAnswer: -17761","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -28 + 34. Suppose 1729 = 3*c - 4*h, l*h - 2*h + 563 = c. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -63*n + 5 = 33*n + 5 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(143) - (sqrt(143) + (sqrt(143)*4 + sqrt(143) - sqrt(143)) + sqrt(143))*-2)\/(sqrt(33)\/(2*sqrt(3)) + sqrt(11)) + 4.\nAnswer: 4 + 26*sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/((t*t**8)\/t))\/t**(-15) assuming t is positive.\nAnswer: t**8","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/(q\/(q\/((q**(1\/2)\/q)\/q)))*q*q**(-1\/4)*q)**18*q**(6\/7)\/q**3*((q\/q**(1\/3))\/q)**16 assuming q is positive.\nAnswer: q**(2899\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -308*a - 2845 + 8389 = 0 for a.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -9810, -10417, -11024?\nAnswer: -11631","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -38*n. Let r(y) = -38*y. Determine -5*b(p) + 6*r(p).\nAnswer: -38*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -c**3 - 6*c**2 - 2*c - 9. Let v(d) = -d - 2. Let q be v(4). Calculate f(q).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 11.26 + -134.46. Let p = 37 + n. Round p to the nearest ten.\nAnswer: -90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11348150 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -615*f + 104753 - 104753 in the form j*f + m and give j.\nAnswer: -615","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 2*j + 8. Let o(h) = h**2 - 12*h - 261. Let n be o(23). What is u(n)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -31 (base 7) to base 9\nAnswer: -24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 494610000 rounded to the nearest one million?\nAnswer: 495000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -317, -2\/17, 1, 3844 in descending order.\nAnswer: 3844, 1, -2\/17, -317","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -1824, -14861, -50424, -119775, -234176, -404889?\n\"Answer: -1877*m**3 - m**2 + 105*m - 51","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -24205, -24204, -24203?\n\"Answer: t - 24206","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3 - 6. Let h(x) = -14 - 17 + 6*x - 16 + 51. Give h(r).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 4 + 1)*(0*h + h + 2*h).\nAnswer: 6*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*j**5\/4 - 865*j**4\/2 + 6255*j**3 - 31955*j**2\/2 - 209825*j\/4 - 29790 = 0. What is j?\nAnswer: -1, 8, 9, 331","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17\/23*16\/(-136).\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.15 + -0.26. Round x to 1 dp.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 49.731*-4.\nAnswer: -198.924","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.738 - 0.008. Let c = v - 0.767. Let a = c - -0.397. Round a to the nearest integer.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) be the first derivative of 53*x**3\/3 + 5*x**2 + 38*x + 27. Is h(9) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -75 - -88 - (-3 - -10).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 237.7 + -240.7. Let n = -58 - -59. Which is the closest to n? (a) x (b) 2\/7 (c) -5 (d) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 283 minutes before 7:03 AM?\nAnswer: 2:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 130 = 5*v. Let n = v - -200\/3. Which is the second biggest value? (a) n (b) -0.2 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -x - 13. Let s be n(-9). Let r be s\/(-3 + (-15)\/(-9)). Suppose p - 5*u = 184, -p + 736 = r*p - 5*u. List the prime factors of p.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 2133?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 483305?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 1231, 2203, 2805, 2851, 2155?\n\"Answer: -31*y**3 + y**2 + 1186*y + 75","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -533897 equal to 1\/19?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 2, k: 4, e: 3}. Give prob of sequence kkek.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -486048180.2 to the nearest 1000000.\nAnswer: -486000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) -2\/7 (b) 0.5 (c) -146.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3199616375.\nAnswer: 5, 25596931","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 14417 or 100928\/7?\nAnswer: 14417","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + 4)*(25 + 24 - 14)*(l + 1 - 2 + 2).\nAnswer: 140*l + 140","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 3*p**2 + 17*p + 15. Calculate the remainder when q(-8) is divided by 13.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 5936 and 8162.\nAnswer: 65296","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -12, 0.3, -9, 0.7 in increasing order.\nAnswer: -12, -9, -4, 0.3, 0.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 860.2 rounded to the nearest one hundred?\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-396)\/(-330) - 112\/10. Sort a, -3, -20, 5, 1 in descending order.\nAnswer: 5, 1, -3, a, -20","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2836\/24 - (-2)\/(-12). Let j be (-2 + i)*(-1)\/(-2). Let m = j + -40. What is the units digit of m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10\/(-22) + (-45)\/(-99)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -g + 1. Let w(j) = 3. Let a(l) = 3*d(l) - w(l). Let v(z) be the second derivative of -z**3\/3 + 2*z. Calculate v(a(m)).\nAnswer: 6*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 46\/11 + ((-132)\/121)\/6. Suppose -4*v = j*q - 40, 6*v - 2*q = 5*v - 5. Let b(c) be the second derivative of c**3\/3 - 2*c**2 + c. Determine b(v).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -436852758 = -7*q + 239643545. Let k = q + -23942329. Round k to the nearest 1000000.\nAnswer: 73000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -13*s + 36. What is the units digit of u(-2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -2 - 20452\/(-44) - (-4)\/22. Suppose 468*p = o*p + 2470. Does 18 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 175 and -0.2931763?\nAnswer: -51.3058525","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*w**2 + 0*w**2 + 5*w**2)*(5 - 5 + 2)*(-2629 - 1611 + 2902).\nAnswer: -2676*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = t**2 + t + 71. Calculate j(0).\nAnswer: 71","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -83\/201 - 6869\/402. Is q at least as big as -26?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 324 and 496152?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -7.43 times -12.023?\nAnswer: 89.33089","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = b**2 - 8*b - 6 - 5*b + 10*b - 2. Let z be 14\/(-2)*(0 + -1). Calculate p(z).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 3691 = 5*a - 4053, 188 = 2*a - 4*l. Suppose 3*d - 280 = -2*d. Calculate the remainder when a is divided by d.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/(o*o**(7\/5)\/o*o*o))\/o**2)\/((o*o**13\/o)\/(o**(2\/21)*o)) assuming o is positive.\nAnswer: o**(-1712\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 27\/4 of a litre?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -2*s**2. Let i be 1 + -3 + 0 + -3. Let a(z) = 2*z**2. Let d(x) = i*a(x) - 6*v(x). Let r(b) = b**2 + b**2 + b**2 - 5*b**2. Determine r(d(n)).\nAnswer: -8*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -0.5, 0.2, -68050 in descending order.\nAnswer: 0.2, -0.5, -5, -68050","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -f**3 - 4*f**2 + 13*f + 1. Let c be (-1)\/(-8) + (-294)\/48. Let o be q(c). Let d(n) = 8*n + 7. What is d(o)?\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 124.79 and -42.\nAnswer: -5241.18","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -418, -833, -1248?\n\"Answer: -415*l - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/17, 9.48, -3.3, 475, 0.3 in increasing order.\nAnswer: -3.3, -2\/17, 0.3, 9.48, 475","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7312 is divided by 122.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6035, -6174, -6373, -6632, -6951, -7330, -7769?\nAnswer: -8268","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*sqrt(120)\/sqrt(2) + (sqrt(7260) - -1*sqrt(7260) - sqrt(7260)))\/((sqrt(72)*1*-6)\/sqrt(864)))**2.\nAnswer: 1280","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5513998 - 5513997.94293322. Let s = m - 0.0410674. Let n = -0.016 + s. Round n to seven dps.\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4878 to the nearest integer?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 8670369, 8670368, 8670367, 8670366, 8670365?\nAnswer: 8670364","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -2005*k - 9913. Determine v(-5).\nAnswer: 112","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.098471ml in litres?\nAnswer: 0.004098471","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jp when two letters picked without replacement from nnjpnppunnjjnpj?\nAnswer: 8\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 18232275 to the nearest integer?\nAnswer: 263","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) be the first derivative of 872*v**3\/3 + 127*v**2\/2 + 5*v - 3103. Find the second derivative of c(x) wrt x.\nAnswer: 1744","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 3 and -0.062.\nAnswer: -0.186","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -17\/708 and 5\/144958.\nAnswer: 51315132","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8*3*3\/18.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3.28 * 3.2.\nAnswer: 10.496","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) be the third derivative of 0*c**6 + 0*c**3 + 1\/210*c**7 + 0*c**4 - 22*c**2 + 0*c - 1\/60*c**5 + 0. Find the third derivative of i(p) wrt p.\nAnswer: 24*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of ((-18)\/12*-2113)\/((-7)\/(-14))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.129 - -548.6\nAnswer: 548.729","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out 13466152.5 + -55501.\nAnswer: 13410651.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.028 + -0.068. Let o = -28 + -5. Let v = o - -33.2. Which is the third smallest value? (a) 2\/5 (b) v (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 3*w**2 - 2*w - 139. Let a(k) = -6*k**2 + 6*k + 276. Determine 2*a(t) + 5*z(t).\nAnswer: 3*t**2 + 2*t - 143","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -220007985.9 + 220007917.30000338. Let d = 68.6 + n. Round d to 7 dps.\nAnswer: 0.0000034","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 3, f: 3, q: 2}. What is prob of sequence ffqb?\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 367 minutes before 11:52 PM?\nAnswer: 5:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from oozoeeeeooooeeeoeeee. What is prob of picking 1 e and 2 o?\nAnswer: 77\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1961 a factor of 66644585?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -7168 < -258\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jjjjjjuu. What is prob of picking 4 j?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nc when two letters picked without replacement from {k: 3, s: 6, n: 1, c: 3}?\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 2134?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide -354 by 407.\nAnswer: -354\/407","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 23632345 to the nearest integer?\nAnswer: 4861","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -8902, -16970, -24160, -30478, -35930, -40522?\n\"Answer: -i**3 + 445*i**2 - 9396*i + 50","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 21*o**2. Let m be (-2)\/(6\/9)*-1. Suppose 2 + 1 = m*b. Is 21 a factor of t(b)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 62.237 take away 1?\nAnswer: 61.237","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 35 + -22 - (-6 + -2 + 1 + 47)?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2398.\nAnswer: 2, 11, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 15703 = -5*u + 7776, -5*h - 18773 = -4*u. What is the thousands digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 33*h**4 + 6*h**3 + 6*h**2 - 32*h + 334. Let f(y) = 5*y**4 + y**3 + y**2 + y - 3. Let q(x) = 6*f(x) - g(x). Differentiate q(u) wrt u.\nAnswer: -12*u**3 + 38","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = l + 6. Let b(w) = w - 10. Let a be b(6). Let g be m(a). Put g, 0, 4 in descending order.\nAnswer: 4, g, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 532 minutes before 2:40 AM?\nAnswer: 5:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-k**3 + 3*k**3 + 0*k**3)*(207*k - 433*k + 340*k) to the form r*k**3 + f*k + i*k**4 + d*k**2 + y and give i.\nAnswer: 228","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -98*h - 4*p - 41 - 7 = -102*h, -63*p - 567 = 0 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -50586251490 rounded to the nearest 1000000?\nAnswer: -50586000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -455, -912, -1369, -1826, -2283?\nAnswer: -2740","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 37*b - 10. Let g be k(-7). Let s = 26366\/9 - 2923. Calculate the common denominator of g\/(-6) + (-2)\/(-3) and s.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -19 * -13.419\nAnswer: 254.961","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) be the first derivative of 1\/2*u**2 - 4 + 1\/3*u**3 + 26*u. What is the units digit of i(0)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2706\/7, 5, 0, -1\/3.\nAnswer: -1\/3, 0, 5, 2706\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = b**2. Let k(x) = -113*x + 28*x + 32*x + 32*x - 14 + 33*x. What is k(g(v))?\nAnswer: 12*v**2 - 14","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide 724 by 38882.\nAnswer: 362\/19441","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 + 0 + 8*o**2 + 8 - 13.\nAnswer: 8*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -13\/5 and 17\/11?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (6\/4)\/(785\/34 + -14 + -9)\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 4*h**2 + 3*h**2 - 5 + 0*h**2 - 6*h**2 - 3*h. Let q be c(5). Let w = 4 - 1. Sort w, q, -4 in decreasing order.\nAnswer: q, w, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) be the second derivative of -v**4\/6 + v**3\/6 + 18*v. Let t be q(1). Let g(w) = -5*w - 1. Give g(t).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -19, -51, -115, -211, -339, -499?\nAnswer: -691","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*t + 2*t - 3*t)*(-1770 - 1065 - 931 + 201)*(-4 - 2 + 5).\nAnswer: 3565*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 330\/99*7\/(-105)*5\/(10\/(-66))\nAnswer: 22\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -22 (base 12) in base 10?\nAnswer: -26","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 21.8 + -60.2. Let n = h - -43. Let z = -5 + n. Is z at most as big as -1\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 70.3232 rounded to the nearest 10?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b683ba (base 12) to base 9\nAnswer: 5363067","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor z**4\/2 - z**3 - 11*z**2\/2 + 6*z.\nAnswer: z*(z - 4)*(z - 1)*(z + 3)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13291398?\nAnswer: 2, 3, 101, 2437","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f = -8*h + 10*h - 2, 4*h - 5*f - 4 = 0 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.5 + 0.3. Let g = 28 + 146. Let m = 1741\/10 - g. What is the biggest value in q, m, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = k. Let g(v) = -v**2 + 4*v. Let f be g(7). Let j = -26 - f. Let t(n) = 9*n + 1. Suppose -14*x + 17*x - 3 = 0. What is j*y(d) + x*t(d)?\nAnswer: 4*d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 159936562187 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -147*p + 105. What is j(1)?\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 477?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 10cdb - -9d?\nAnswer: 10d78","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 59cbb (base 14) in base 4?\nAnswer: 311202131","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 514 (base 6) to base 13\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3525.0497 - 3526. Let p = r - -0.93. What is p rounded to 3 decimal places?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 minutes before 8:14 PM?\nAnswer: 8:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1594*c*q**4 + 1157*c*q**3 - 2*c*q**2 + 6*c - 3*q**2 - 5*q - 4 wrt q?\nAnswer: 38256*c*q + 6942*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 330217 is divided by 37.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 9*u**2 - 9*u + 12. Let m be z(9). Let o be -1 + -5 + (-246)\/m*-16. Is o greater than or equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1027.\nAnswer: 13, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -39*u = -34*u + 4*f - 14, u + 5*f - 7 = 0 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -u**4 - u**3 + u - 1. Let k(h) = -7*h**4 + 8*h**3 + 12*h**2 - 44*h - 4. Let j(p) = 4*b(p) - k(p). Determine y, given that j(y) = 0.\nAnswer: -2, 0, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vz when two letters picked without replacement from {w: 5, z: 1, c: 5, e: 2, u: 1, v: 6}?\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) be the third derivative of -z**6\/120 + z**5\/10 + 7*z**4\/12 + 2*z**3\/3 + 13*z**2. Let s = -1 - -8. What are the prime factors of v(s)?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3432*b**2 + 331*b - 18010739.\nAnswer: -6864*b + 331","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -6*g + 362. Let p be u(60). Solve 120 = -p*r + 122 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -p + 10. Let l = p - 12. Suppose 3*f + 5*r + 4 - 5 = 0, -4*r = 4*f - 4. Solve s + 0*b + f*b + 5 = 0, -4*b = l*s - 5 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -15704, -15685, -15630, -15521, -15340, -15069, -14690?\n\"Answer: 3*n**3 - 2*n - 15705","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 400 minutes after 2:24 AM?\nAnswer: 9:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 3381320, 3381259, 3381092, 3380765, 3380224, 3379415, 3378284?\n\"Answer: -9*z**3 + z**2 - z + 3381329","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by -111928770?\nAnswer: 1\/22385754","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.9, 0.33, -11\/8?\nAnswer: -11\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 71*v + 3900 = -930*v + 324*v - 12348 for v.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = h**3 + 10*h**2 - 25*h - 10. Let i be g(-12). Let t(n) = 9*n - 2. Let q be t(i). Factor 860*u**4 + 4*u**3 - 857*u**4 - q*u**3 + 12*u**2.\nAnswer: 3*u**2*(u - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(99) - (sqrt(99)*1*3)**2 - (-1 + (sqrt(99) - -3*sqrt(99))).\nAnswer: -890 - 9*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 11b - -60?\nAnswer: 17b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 101\/624 and 107\/3536.\nAnswer: 10608","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) be the first derivative of 13*a**5\/5 - a**4 - 26*a**3\/3 - 11158*a - 1718. What is the derivative of u(q) wrt q?\nAnswer: 52*q**3 - 12*q**2 - 52*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 547653?\nAnswer: 3, 23, 7937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3237778?\nAnswer: 2, 977, 1657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 47291900 to the nearest 100000.\nAnswer: 47300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u, 1 p, and 1 j when three letters picked without replacement from pllpujzluuplpul?\nAnswer: 16\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 318*-1.2\nAnswer: -381.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 4*z**2 + 2*z. Suppose -22 = -5*q - g + 4*g, 4*q - 5*g = 28. List the prime factors of w(q).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1 - 100?\nAnswer: -101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(104)*-1*-1 - -6*((sqrt(104)*-2 - sqrt(104)) + sqrt(104)))\/(-5*sqrt(16)\/sqrt(2) + (sqrt(8) - ((sqrt(48) + sqrt(48)*-2)\/sqrt(6) - sqrt(8)))).\nAnswer: 11*sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = 3*t + 2*y, -4*t - t + 20 = -5*y for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (0 - 6 - (22 + -21 - 41) - 0) + -1\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*p + 18 - 18)*((-1 + 1 - p)*(24680 - 24680 + 148*p) + 0*p + 0*p - p**2)*(0 + 1 + 1).\nAnswer: -1490*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 32 + 8352?\nAnswer: 8384","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 47*g - 154 + 13. Solve -g*b = 4*x - 8 + 3, -5*b - 5*x = 0 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 2*t**3 - 13*t**2 + 8*t + 10. Is u(11) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 4 - 4*v - 3 + 5*v + 4*v. Let z be s(-1). Let t = 0 - 0. Which is the closest to t? (a) -1\/2 (b) 1\/3 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -36*z - 30. Let r be j(-4). Solve 141*a - 54 = r*a for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) be the second derivative of b**4\/2 - 3*b**3 + 27*b**2\/2 + 213*b. List the prime factors of j(13).\nAnswer: 3, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by 1105?\nAnswer: -2\/1105","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19690.\nAnswer: 2, 5, 11, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*l - 27*l = 60. Let i(p) = -3*p + 10. Let z be i(8). Let x be 1\/1 - z\/(-8). Put 1, l, x in descending order.\nAnswer: 1, x, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 822 divide 39224383?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = o - 7. Let m be (2 - 4 - -6)*1. Let h be n(m). Is (h\/2)\/((-90)\/84 - -1) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-2\/23)*k*k)**45\/(k*k**(-2\/73)*k)**22 assuming k is positive.\nAnswer: k**(71676\/1679)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 8\/1573 + -3282\/26741. Sort -0.2, -0.5, -59, 0.2, r in increasing order.\nAnswer: -59, -0.5, -0.2, r, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 118 a factor of 4\/(960\/517932) + (-4)\/80?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(130) - ((sqrt(130)*-1 + sqrt(130) - sqrt(130)) + sqrt(130))*-5)\/sqrt(10).\nAnswer: sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 39 + -35. Let a(k) = -3*k**2 + 22*k - 106. Let b be a(6). Sort t, -1\/2, 3, b.\nAnswer: b, -1\/2, 3, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -c**2 + 20*c + 37. Let i be f(11). Put i, 1, -5 in ascending order.\nAnswer: -5, 1, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*b**4 + 171*b - 5*b**2 + 35*b**3 - 2 - 173*b + 7*b**2 to the form f*b**4 + d + g*b**3 + k*b**2 + j*b and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -x - 3. Let o be g(-8). Suppose -132 = -3*y + 3*m, 60 = -5*y + 6*y - 5*m. What is the greatest common divisor of o and y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:39 AM and 7:31 AM?\nAnswer: 52","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -y + 7. Let m be d(6). Let h be (-2)\/(-10) + (-7)\/35. Suppose h*f - 3*f = 4*z + 59, 2 = -2*z + 4*f. Put m, -4, z in descending order.\nAnswer: m, -4, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1170)\/650)\/((-51)\/2465)?\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 0*l - 4*w - 6 = 0, -3*l - 5*w - 7 = 0. Let k(g) = -l + 4 - 8*g - 3. Let q(f) = -2*f**2. Give q(k(v)).\nAnswer: -128*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1080)\/144 - 18\/(-4).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-117)\/6)\/((-7)\/14).\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -m**3 - 11*m**2 - 1. Suppose -a + 6*a - 3*u + 40 = 0, -26 = a + 3*u. Let o be l(a). Which is smaller: 3\/7 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h = d + 9, h + 11 = 4*h - d for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.129 + 0.067. Let y = k - -0.05. What is y rounded to two dps?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 2*l - 6. Determine c(8).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) be the second derivative of 0*g**2 - 31*g + 1\/360*g**6 + 0 - 5\/6*g**3 - 1\/120*g**5 + 0*g**4. Let w(f) be the second derivative of u(f). Calculate w(2).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g = c - 48517, -4*c + 168319 + 25710 = g. What are the prime factors of c?\nAnswer: 2, 67, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1548*z**2 - 2441 + 4902 + 346*z**2 - 2*z**3 - 2462.\nAnswer: -2*z**3 + 1894*z**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) be the second derivative of b**5\/5 + 151*b**4\/12 + 5*b**3\/6 + 57*b**2 - 274*b. What is the second derivative of n(v) wrt v?\nAnswer: 24*v + 302","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.317 (b) 4 (c) -15.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -v**3 + 10*v**2 - 7*v - 11. Let n(d) = d**3 - 10*d**2 + 11*d - 9. Let o be n(9). What are the prime factors of l(o)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -g**2 + 2*g + 9. Let a be c(4). Is (-11 + 12)*571\/a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -29*v**2 - 24*v + 19. Let q(c) = -25*c**2 - 24*c + 19. Determine 7*q(z) - 6*x(z).\nAnswer: -z**2 - 24*z + 19","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -6 + 0 + 0 + 3*n. Suppose -5*q + 7 = d, 0 = -3*d - 5*q + 4*q + 21. Let b(k) = 2*k + 5*k + 0*k - 12*k + 3*k + 4. Determine d*b(o) + 5*m(o).\nAnswer: o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 142 = 25*b + 42 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -5*p. Let w(m) = 270*m**2. Determine w(q(b)).\nAnswer: 6750*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8920083?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) be the second derivative of -6 - 4*v + 11*v**2 + 31\/12*v**4 + 1\/6*v**3. Find the first derivative of t(c) wrt c.\nAnswer: 62*c + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by -705368.\nAnswer: -1\/176342","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 76066.4 kilograms in micrograms?\nAnswer: 76066400000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -10*a**3 - 6*a**2 - 25*a - 5. Let n be g(-3). Let u = n - 279. Solve 4*y + 13 = -u for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve x - 8*o = -5*o + 3, 4*x - 4*o + 4 = 0 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 721*l**2 + 10*l. Let f be r(-10). Round f to the nearest 10000.\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 12527480?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 4 - -1 - (-1 + (-24 - 0) - (-92 - -74))\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d**3 - 48335532*d**2 + 48335534*d = 0. What is d?\nAnswer: -24167767, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -4.4*-31176\nAnswer: 137174.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -7 - -59. What is the units digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -412122303 (base 5) to base 2.\nAnswer: -110011001010100100010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(0 + sqrt(425))*4*4.\nAnswer: 80*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = 3*n - 32. Let g = 1945\/6 + -339. What is the common denominator of (62\/n)\/(18\/(-4)) and g?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3768153 * -1.\nAnswer: 3768153","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 111 minutes before 6:14 PM?\nAnswer: 4:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 54.5887305 to the nearest integer.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1558 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: List the prime factors of 108029559.\nAnswer: 3, 11, 439, 7457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 11019439?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -s**3 - s**2 + 2*s + 2. Let m(z) = -2*z**4 + 3439*z**3 + 3*z**2 - 2864*z - 6. Let u(f) = -3*c(f) - m(f). Find the second derivative of u(j) wrt j.\nAnswer: 24*j**2 - 20616*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -562815 divided by -112563\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 193287741?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a century in decades?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1 - 2. Suppose 0 = -2*r - 2 + 4. Let l be r*2\/14*2. Which is smaller: d or l?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 9*t**3 - 5*t - 5. Let d be 80\/(-30)*9\/(-3). Suppose -g - 2*g - 15 = 0. Let z(q) = 13*q**3 - 8*q - 8. Give d*b(u) + g*z(u).\nAnswer: 7*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 222*c**2 - 91*c**2 - 68*c**2 - 109*c**2.\nAnswer: -46*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a when two letters picked without replacement from pkaaykgaaakaa.\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 68*l - 69*l = -4. Sort 7, l, 17, 2.\nAnswer: 2, l, 7, 17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -4938 and 0.49.\nAnswer: -4937.51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -57 = -4*t - 3*y, -y = -0 - 3. Let d = -7840 - -8044. Calculate the highest common divisor of t and d.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 8\/45267 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -2, 3, 2, -249 in descending order.\nAnswer: 3, 2, -2, -4, -249","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7 (base 13) to base 11.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 233561294 is divided by 739118?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*m + 4*m + 2 + 1)*(-6*m - m + 6*m)*(-3 + 4 + 0).\nAnswer: -2*m**2 - 3*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -27357.4 - -27357. Which is the nearest to -20? (a) t (b) -5\/3 (c) 0.05\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2 - 3)*(-2*r + 5*r - 2*r) + 2*r + 3 - 3*r - 1.\nAnswer: -2*r + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1242978 to the power of 1\/5, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.1, 0.5, -452, -0.5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1600 and 240.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y + 8*y = 3*y. Sort y, -3, -5.\nAnswer: -5, -3, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 9406*l**2 - 8637*l wrt l?\nAnswer: 18812","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 13421?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4, 30, 82, 158, 264?\nAnswer: 406","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w = -5*t - 0*t + 15, -4*w = 5*t + 12. Suppose 4*a - 32 = 3*a. Calculate the remainder when a is divided by (t + -22)\/(6 + -8).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 15871695?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -3707451810 to the nearest 1000000.\nAnswer: -3707000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1090 - 1099 - 75*f + 29*f.\nAnswer: -46*f - 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -db2d (base 14) in base 8?\nAnswer: -111755","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 40651300 rounded to the nearest one million?\nAnswer: 41000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = z**3 + z**2 - z - 1. Let m(q) = -2*q**3 + 4*q**2 + q + 1. Give -m(x) - o(x).\nAnswer: x**3 - 5*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -6\/23? (a) -45 (b) 2 (c) 10 (d) -33 (e) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m + 8 + 4 = 0, -m = 5*f - 23 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q + 2*g = -12, -3*q + 3*g - 42 + 48 = 0 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (15\/72*6)\/((-1)\/4)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -25 - -37. Does 10 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.1, 1, 0.03611, -0.053?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -287*z + 11512. Calculate n(40).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = x**2 - 5*x + 4. Let m be g(2). Is 18 a factor of (1554\/(-35) - m)*-10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 29810*v**5 + 1350*v + 5 wrt v.\nAnswer: 596200*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -80 + 68. Let x(t) = -2083*t**2 + 6*t + 24. Let m be x(a). What is m rounded to the nearest 100000?\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 121 and 484.\nAnswer: 484","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) be the first derivative of 1 - 1\/12*m**4 + 0*m**2 + 0*m + 0*m**3 - 1\/3*m**5 - 2\/9*m**6. Solve i(x) = 0.\nAnswer: -1, -1\/4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 5*k + 80 = 0, -4*k = q - 16 - 11. Let s be 1\/3*q\/(-10). Let i be (-2)\/((-4)\/(-12)*(-3)\/2). Put s, 0.1, i in descending order.\nAnswer: i, 0.1, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (2*(3 + sqrt(252) + -1 - sqrt(252)) + 0)**2 + 5.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 34, 153, 350, 625, 978, 1409?\nAnswer: 1918","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 188 = -50*c - 162 for c.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 33\/22*(-4)\/22. Let i = 7 - 6. Suppose 6*h = -5 - i. Does p = h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1692951 is divided by 586?\nAnswer: 583","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 11.8 - 11.7. Which is the smallest value? (a) z (b) 2 (c) -0.05 (d) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = s**3 - 9*s**2 - 11*s + 12. Let p be o(10). Suppose -3*g - 2*j = -85, g = p*g - j - 25. Calculate the highest common divisor of 9 and g.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -38 + 46. Solve 8 = -4*g - h*j + 4*j, 5*g - 5*j = 20 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -173.6 - -174. What is the nearest to 1 in -0.4, -3, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -1\/20520 and 35?\nAnswer: 20520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1164\/(-9700))\/((-2)\/10).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -1 + 3*q - 15*q + 11*q. Let w be -1 - 4 - (2 - 4). Let z be p(w). Solve -z*g - 15 = 5*x + 4, 4*g - 32 = 4*x for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -69.99021 and 24.631.\nAnswer: -45.35921","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-45)\/16 - (-5)\/20 and -1\/16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10*r + 8*r - 5*r)*(3*r + 2*r - 6*r) - 4*r**2 + 4*r**2 + 5*r**2.\nAnswer: 12*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 5*g. Suppose -5*y = 15, -8*y - 20 = -4*r - 4*y. Let t(j) = -j - j - r + 2. Calculate t(v(i)).\nAnswer: -10*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -26 + 44. Let o be (44\/33)\/(8\/j). Suppose 5*h - 4*i - 10 = o*h, 2*i + 41 = 5*h. What are the prime factors of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:36 PM and 4:39 AM?\nAnswer: 663","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -35\/6 and -7\/77854473.\nAnswer: 155708946","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4428127ug in milligrams?\nAnswer: 0.0004428127","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 18402?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5828, 5822, 5808, 5780, 5732, 5658, 5552, 5408?\nAnswer: 5220","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -30, -0.2, -38, -2\/16065 in decreasing order.\nAnswer: -2\/16065, -0.2, -5, -30, -38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 92\/14*6\/(-8) and 492\/8*(160\/36)\/(-20)?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 - 3*k + 0)*(-k + 5*k + 4 - 3 + (0 - 1 + 2)*(4 - 4 + 2*k)) in the form d + x*k + g*k**2 and give x.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00003429389 rounded to 6 dps?\nAnswer: 0.000034","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 29969 - 31a?\nAnswer: 2964a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 31\/(-1240) - (-6)\/(-16). Is 8 greater than t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*n + 2398 + 482 = 0. Let h = 505 + n. Does 31 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) be the second derivative of 1\/12*t**4 + 0 + 0*t**5 + 2*t - 1\/21*t**7 + 0*t**3 + 0*t**6 + 0*t**2. What is the third derivative of l(j) wrt j?\nAnswer: -120*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 6*z**2. Let x(l) = -3*l + 0*l + 3*l + 123*l**2 - 159*l**2. What is x(k(g))?\nAnswer: -1296*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -56 - -39. Let r = -10 - i. Let s(c) = -r*c + 2*c + 3*c**2 - 2*c**2 + 3. Give s(3).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 times 6238122?\nAnswer: -1871436.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*j + 73195 = 2*w + 73194, -14 = -w - 11*j for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vwtg when four letters picked without replacement from hhtvtgghhgthlhlhghwv.\nAnswer: 1\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 11*c**3 + 9*c**2 - 4*c + 27. Let q(x) = -5*x**3 - 5*x**2 + 2*x - 14. Let r(s) = -9*q(s) - 4*z(s). What is the second derivative of r(t) wrt t?\nAnswer: 6*t + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w*(w**(-4\/7)\/w)\/w)\/(w*w**(-2\/15)))\/(w**(-1\/4))**(2\/135))\/((w**(-2\/5)\/((w*(w**6*w)\/w)\/w))\/(w*w**(-4\/3)*w*w\/(w*w\/w**(2\/23)))) assuming w is positive.\nAnswer: w**(32335\/8694)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 4725367593 to the power of 1\/2, to the nearest integer?\nAnswer: 68741","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4912974?\nAnswer: 2, 3, 11, 919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) be the second derivative of b**4\/4 + 3*b**3\/2 + 3*b**2 - 12*b. Suppose j(s) = 0. Calculate s.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 5*z - 6. Let o be z\/4 - (-35)\/20. Let t = 5 + -3. Solve t*w = 4*w + o for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 34259 + -34259. Let d(g) = g**3 - g**2 - 12*g - 5. Determine d(o).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -44\/21 and 22\/67.\nAnswer: 1407","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = s**2 - 2. Let m be a(-2). Suppose -2*n = 5*y - 4*n + 2, 5*y = -n + 1. Suppose -u = m*u + 12, y = q + 2*u - 10. What is the units digit of q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*v + 47 - 12 = -p, 0 = 2*p - 4*v + 34 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1)\/(-2)*(-9 + 5). Let i be s\/(-4)*6\/9. Let l = -0.2 + -0.2. What is the third smallest value in i, 0.1, l?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 7*q**2 + q + 5. What is u(3)?\nAnswer: 71","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -11, -60, -203, -488, -963, -1676?\n\"Answer: -8*b**3 + b**2 + 4*b - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -13718, -20191, -26664?\n\"Answer: -6473*y - 7245","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1401349 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 92def - b0?\nAnswer: 92d3f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2000 + -2211?\nAnswer: -11211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1213277 (base 8) to base 4.\nAnswer: 1101122333","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -g**2 - 9*g + 12. Let w be l(-10). Factor -4*u - 6 - 3*u**2 - 5*u + u**w + u.\nAnswer: -2*(u + 1)*(u + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -77, -155, -239, -335, -449, -587, -755?\nAnswer: -959","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 525 - -277. Suppose t = 6*c + 322. What is the units digit of c?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) be the second derivative of 1\/3*b**4 - 35*b + 0 + 11\/6*b**3 + 17*b**2. What are the prime factors of s(-7)?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -302807*n**4 + 550*n**2*r**3 - 117*n*r**3 + 8*n*r + 6784*r**3 - r + 2 wrt n.\nAnswer: -3633684*n**2 + 1100*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Total of -4 and 89462.789.\nAnswer: 89458.789","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 649915 is divided by 1923?\nAnswer: 1864","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 18058720 (base 9) to base 8\nAnswer: 42472067","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -2\/5 (b) -12 (c) 2 (d) 204\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -b + 4*c + 14, 5*b + 8 = 4*c + 46. Let q be -1 - 4\/b*3. Is (q\/(-6))\/(3\/438) a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 3 z when four letters picked without replacement from {z: 3, n: 3, r: 1}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -t**2\/4 - 3*t - 9.\nAnswer: -(t + 6)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -2*b**2 + 179*b + 3256. Determine h(105).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 298085566 and 874.\nAnswer: 874","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 1463, 1895, 2327, 2759?\n\"Answer: 432*d + 1031","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15 - 28 - -8 - (-4 - (1 - 4)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*((o*o\/(o*o**(-9)))\/o)\/o)\/(o*o**(-4\/17)))**(27\/7) assuming o is positive.\nAnswer: o**(540\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a\/(a**(-2)\/a))**(-19))**(-3\/4))**(-1\/4) assuming a is positive.\nAnswer: a**(-57\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 519*k**3 + 335*k**3 + 325*k**3 - 1198*k**3.\nAnswer: -19*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*g - a + 10 = -2*g, 4*a = -8. Let l = 430 + -428. Let k(m) = 5*m - 265. Let v be k(53). Solve -3*j = -l*x - 0*j - 3, g*x - 5*j + 6 = v for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -111887 - -111886. Suppose -3*w = -w - s - 53, -5 = -5*s. Which is the closest to w? (a) h (b) -2 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 5*u = -19, a + 13 = 2*a - 2*u. Let b = 14 + a. Calculate the remainder when b is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.12, 9, 1\/4, 2819 in ascending order.\nAnswer: 0.12, 1\/4, 9, 2819","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 34*p - 29*p + 20 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -529412437*c**5 - 882797*c**2 + 117.\nAnswer: -31764746220*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 20? (a) 0.23 (b) -5 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26*t - 75*t - 13*t.\nAnswer: -114*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 36.1529 + 75?\nAnswer: 111.1529","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 414 is divided by 162?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*(w**(-1\/2)*w)\/w)**13*(w**(1\/9)\/w)\/((w\/((w*w\/(w\/(w**(3\/10)*w*w*w)))\/w))\/w))**38 assuming w is positive.\nAnswer: w**(15238\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 10100010110111101 (base 2) to base 12\nAnswer: 40311","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1 - -3. Suppose 0 = -p*k - k + 20. Suppose 2*r - 16 = -y, -r = k*y + 4*r - 67. List the prime factors of y.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/30)\/((1\/6)\/(((-40420)\/(-80))\/47))?\nAnswer: -43\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -46 + ((-383418)\/(-441))\/17\nAnswer: 36\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 5*v - 10 = -0, 0 = -s - v - 2. Let w be (-2)\/(-6) - 35\/69. Is s at least as big as w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -29 - -32. Suppose -y + 77 = -n*a + 27, 3*y - 5*a - 166 = 0. Suppose y = 6*l - 118. Calculate the greatest common factor of l and 20.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 74 + -40. Suppose -3*y + 95 = 5*h, -70*h = 2*y - 65*h - 60. Which is bigger: y or r?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*a - 39 = -3. Calculate the greatest common factor of a and 48.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5940, -5939, -5938, -5937?\nAnswer: -5936","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -665, -5301, -17891, -42413, -82845, -143165, -227351?\nAnswer: -339381","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 8*x**2 + 2*x + 1. Suppose 4*d = d + 3. Let f be -3 - (d + (-4)\/4). Is j(f) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*m + 15*m - 43530*m**2.\nAnswer: -43530*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 38 - (9 + (24 - (11 - 9)))\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 4\/12 - (-2 + 4\/(-6)). Suppose a*q = -5*p + 5, 35 = 4*q + q - 5*p. Solve -q*s - 2*z = -6*z - 7, -4*z - 1 = -3*s for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 3\/8 - ((-30)\/(-24) - 4)\/(-2). Let x(a) = 14*a. Let n(z) = -5*z. Let v(i) = -i. Let q(t) = -n(t) + 10*v(t). Let u(j) = -11*q(j) - 4*x(j). Give u(y).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 169 - 1. What is the greatest common factor of 21 and w?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -7130 to the nearest one hundred.\nAnswer: -7100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5409084?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 13 - -2c94?\nAnswer: 2ca7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-1\/2))**(-6\/37)*(u**0\/u)**(-14) assuming u is positive.\nAnswer: u**(521\/37)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -23 + 26. Sort -3, 0, t in increasing order.\nAnswer: -3, 0, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 33 - -6aa4?\nAnswer: 6b17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 30005 - 11931. What is the thousands digit of u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i = -i + 85. Suppose -5*j + 54 = 3*q - 49, 3*q = 4*j + i. Suppose -2*a - q = -111. Calculate the highest common factor of 10 and a.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = r**3 - 19*r**2 + 21*r - 53. Let s be b(18). Let l(t) = 241*t**2 + t - 1. Is 7 a factor of l(s)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6288)\/510900*(-39)\/18.\nAnswer: 2\/75","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.4 and 83948.\nAnswer: -33579.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 0.1318 times -853.96\nAnswer: -112.551928","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (55536\/534)\/(8\/5).\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 3, h: 9}. Give prob of sequence hbhh.\nAnswer: 7\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*d + t - 73, 5*d + 8*t - 3*t - 85 = 0. Solve 0 = -5*f + d*f + 18 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4515 (base 9) to base 2\nAnswer: 110100000111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.27 in -0.1, 0.1, -2\/3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (-5 + 0 + sqrt(13) + (-1*(sqrt(13) + 1))**2 - ((6*(sqrt(117) + 2) + sqrt(117))*-1)**2).\nAnswer: -5867 - 501*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -38 * 1390950\nAnswer: -52856100","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-7))**(-1\/25) assuming x is positive.\nAnswer: x**(7\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -279.5 + 279. Which is the second smallest value? (a) j (b) 6 (c) 1 (d) 0.01\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -8 - 667?\nAnswer: -675","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -2*c**2 + 23*c + 9. Let z be g(-9). Let l be 2\/7 + z\/35. Let i = l - -50. Calculate the highest common factor of 10 and i.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 15*g**2 - 3*g + 140. Let f be d(-36). Suppose 0*l - v + f = 3*l, 4*l + 4*v = 26248. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*p**6 - 29*p**5 + p**2 + 22.\nAnswer: -240*p**3 - 1740*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) be the second derivative of -5*y**4\/12 - y - 208. Let r(a) be the first derivative of -3*a**2\/2 + 1. Calculate r(f(m)).\nAnswer: 15*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25*c**2 + 21*c**2 - 37*c**2.\nAnswer: 9*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:38 PM and 6:01 AM?\nAnswer: 623","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1389.092166us in weeks?\nAnswer: 0.000000002296779375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 0.1 (b) 51 (c) 10 (d) 2\/431\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 69902 - 2*d**3 - 69902.\nAnswer: -2*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2\/7, -5860.42, 1\/3?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -6*n + 7*n + 8*n. Let q(w) be the third derivative of 10*w**2 - 1\/24*w**4 + 0*w + 0 + 0*w**3. Calculate q(j(s)).\nAnswer: -9*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f = -5*m - 10, 3*m = -4*f + 4*m + 2. Let x be (-1 + 0)\/(5\/(-45)). Find the first derivative of x + f + 3*k - 33 wrt k.\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*k + 20 = -k. Let r be (-2 + -7)*(-3)\/((-270)\/(-220)). Suppose -3*z + a = 2*z - r, -3*a + 9 = 0. Solve z*h - 14 = -k for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(-15)\/(m\/(m\/m**(-3\/17))) assuming m is positive.\nAnswer: m**(-252\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2 - -6.5. Let m = -14.5 - -14. Let r = m - o. Is r bigger than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 78360200 rounded to the nearest 100000?\nAnswer: 78400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 132500015\/25 + -1 - (-2)\/5. Round g to the nearest 100000.\nAnswer: 5300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/4 of a meter in millimeters?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-3)\/(-6) + (-2)\/(-4). Let a be (5 + (-165)\/21)\/(o\/(-7)). Let w(n) = 8*n**2 + 3*n. Let z(x) = 55*x**2 + 20*x. Determine a*w(p) - 3*z(p).\nAnswer: -5*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) be the first derivative of -2*m**3\/3 + m + 1. Let q(c) be the first derivative of u(c). Let g(f) = -2*f**2. What is q(g(j))?\nAnswer: 8*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 3 + 1c?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-7 + -38)\/(1 + -2)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -11*u + 3 - 16*u - 8 + 8*u + 2. Suppose -4*t + 1 = 9. Let h be f(t). Calculate the highest common factor of h and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 106 - 109. What is the units digit of -69*(p - -2 - 2\/(-6))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -3*h. Let p be d(-1). Suppose -4*y + 3*b = -12, -p*y + 4*b - 1 = -3. Does 2 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 48 - 35. Suppose 5*x = 2*s - 107, 2*s - 56 = -4*x + 42. What is the remainder when s is divided by a?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.6162 less than -36?\nAnswer: -32.3838","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 444553116 to the power of 1\/2, to the nearest integer?\nAnswer: 21084","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 6164665 and 130?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 294 - 265. Solve 5*m - 34*m = -h for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 54*d - 14. Let t(j) = 27*j - 6. Calculate 2*k(o) - 5*t(o).\nAnswer: -27*o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 40850 to the nearest 1000.\nAnswer: 41000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 58 - 110 + 3*h + 52. Let a(u) = u - 2. Determine i(a(l)).\nAnswer: 3*l - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u + 31 = -3*n, -7947*n = 3*u - 7951*n - 42 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3941 and 42.\nAnswer: 23646","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 992 + -991. Let d(t) = -t**2 + 1. Let u be d(2). Sort u, 13, p in decreasing order.\nAnswer: 13, p, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b = -c - b + 34, -178 = -5*c - 3*b. Let z = 45 - c. Calculate the remainder when 41 is divided by z.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 74.8 - 11.8. Let w = j - 65. Which is the second smallest value? (a) 1.4 (b) -1\/7 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 880\/55 + 3 + 581 and 90.\nAnswer: 1800","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -2.8 and 1487.\nAnswer: 1484.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 176 and 3993.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 460860*r**3 - 2*r**2 + 456337*r + 1?\nAnswer: 2765160*r - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 52 a factor of 2496?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) be the third derivative of 0*g + 0 + 13\/24*g**4 + 4*g**2 + 1\/6*g**5 - 1\/120*g**6 - 5\/6*g**3. What is the remainder when 65 is divided by x(11)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -12257819*v**3 + 112*v**2 + 7314*v wrt v?\nAnswer: -73546914","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.040830597 rounded to three decimal places?\nAnswer: 0.041","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 16 = 2*t - 3*y, -16 = -4*t - 4*y. Suppose -4*i + 0*z = -2*z - t, 3*i - z = 5. Does 17 divide (i - 7\/2)*-166?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10092*m**3 - 12 + 12.\nAnswer: -10092*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -689995732825.69557 + 690004724320. Let h = q - 8991428. Let g = h - 66.3. What is g rounded to three decimal places?\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 34451748 and 144?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 4*(2\/(-8))\/(16\/(-64))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Are 44954 and 44955 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 14676 and -0.8107.\nAnswer: -11897.8332","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = 3*x + 16, 2*y - 4*x = x + 16. Sort 28, 2, 1, y in increasing order.\nAnswer: y, 1, 2, 28","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 1 - 762*p**2 + 775*p**2.\nAnswer: 13*p**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 952 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1800) + 2 + sqrt(1800) + -1 + sqrt(1800) - sqrt(1800))**2.\nAnswer: 120*sqrt(2) + 7201","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -10*w - 8. Calculate the remainder when q(-8) is divided by (-6)\/(-2) - (16 - 38).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = q**3 + 12*q**2 + 9*q + 2. Let w be u(-11). Suppose -11 = -l - 2*c, -2*l - 3*c + w = l. Solve -11 = -l*x - 1 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37 = -18*p + 3*g + 272, -26*g + 28*g = 5*p - 80 for p.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*z + 18 = 3*z. Let r(g) = -356*g - 92. Let n be r(-6). Let d = n - z. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:08 PM and 1:09 AM?\nAnswer: 481","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Determine j so that j**3\/2 - 441*j**2 + 2637*j\/2 = 0.\nAnswer: 0, 3, 879","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 187114 is divided by 9.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -117, -111, -95, -63, -9, 73?\n\"Answer: l**3 - l**2 + 2*l - 119","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.3380537 minutes to nanoseconds.\nAnswer: 20283222000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1235.0126561 - -0.2820561. Let l = x - -1235. What is l rounded to two dps?\nAnswer: 0.27","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 784*g - 110 + 385 = -509. Let s = -2 - -1.9. Which is the closest to s? (a) 19 (b) g (c) -0.5 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1952aa6 (base 14) to base 12.\nAnswer: -426210a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 212385 is divided by 3099.\nAnswer: 1653","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 72 + -358\/5. Let r = -0.5 + 1. Suppose -10*j = -34 - 16. What is the second smallest value in j, r, k?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 + 13 + 3436295*z - 8 - 3436300*z.\nAnswer: -5*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 12560 (base 14) in base 10?\nAnswer: 44968","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 163 + -159. Solve 0 = -h - h - w*a, 2*a = -2*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3\/5*(278712\/(-4914) - -58)\nAnswer: 10\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-3\/5)*r\/(r**(5\/4)\/r))\/(r*r**(2\/23)*r**(-2\/9))*((r*r**(2\/7)*r)\/r)**26\/((r*r*(r\/(r\/(r\/r**(-2)))*r)\/r*r)\/r**(-7)) assuming r is positive.\nAnswer: r**(571307\/28980)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -246311 (base 7) to base 6.\nAnswer: -550155","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 3883 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 91 and 494312.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.313 - -4.687. Which is the closest to 3? (a) v (b) 2\/3 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rrrrrrur. Give prob of sequence urr.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12125.\nAnswer: 5, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) be the second derivative of -239*g**6\/30 + g**5\/10 - 5*g**4 + g**3\/3 - 642*g. What is the third derivative of t(n) wrt n?\nAnswer: -5736*n + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 3, j: 2}. What is prob of sequence jaj?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = r + 780 - 2*r - 780. Suppose 4*k + 21 = y, 8*y + 4*k - 100 = 2*k. Let u(s) = -3*s. What is y*f(i) - 6*u(i)?\nAnswer: 5*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*(q**4*q)\/q)\/q*q)\/(q**1\/q)*(q\/((q**(-2)\/q*q)\/q))\/(q\/q**(-1\/2)) assuming q is positive.\nAnswer: q**(15\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -6500 (base 9) in base 16?\nAnswer: -12ab","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 2669 = 2669?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -535 + 685. Put l, 0.3, -2, -1\/3 in increasing order.\nAnswer: -2, -1\/3, 0.3, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 231320424 (base 5) in base 4?\nAnswer: 3332121011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 6\/4*492\/18. What is the greatest common factor of 1107 and f?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 - 6768*g - 6779*g + 0 - 6759*g + 20289*g.\nAnswer: -17*g - 2","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k**3\/4 + 3*k**2\/4 + 3*k\/4 - 3\/4 = 0. What is k?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*n + 10, z + n - 53 = 5*n. Suppose 45 = f + z. What is the highest common divisor of 48 and f?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m = -6*m - 42. Let z = 10 + m. What is the remainder when 7 is divided by z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -3*u + 1. Suppose 0*a = -4*a - 20. Let j(n) = -2*n + 1. Calculate a*j(b) + 3*z(b).\nAnswer: b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x + s = 43 + 80, 0 = 2*x - 3*s - 39. Suppose -3*y + x = -6. Which is bigger: 8 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -20912673 - -1.1\nAnswer: -20912671.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 759?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 151*f + 211*f - 57*f - 25*f + 180*f in the form l*f + i and give l.\nAnswer: 460","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 24 (b) 0.5 (c) 0.9 (d) 4 (e) 2 (f) -0.13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(17)*-2 + -3 + (sqrt(17) - (sqrt(17) + sqrt(17) + (sqrt(204)*-3)\/sqrt(12)))**2.\nAnswer: -2*sqrt(17) + 65","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 93197, 93193, 93187, 93179, 93169, 93157, 93143?\n\"Answer: -k**2 - k + 93199","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-8)\/(-12))\/(2\/(-6)). Let v be 13 + l*1\/(-2). Suppose 0 = 5*g + 2*d - 99, -3*g - 4*d + 9 = -2*g. What is the greatest common factor of v and g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 341066?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 258*h**3 - 44*h**2 - 84*h**3 + 44*h**2 - 223*h**3.\nAnswer: -49*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + v + 147 = 3*z, -5*v - 2*z = -233. Calculate the common denominator of 8 - (684\/40)\/(-9) and v.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4 + 5. Let a = h - 5. Let v = 16.41 + -21.41. Sort -2\/5, a, v, 0.3 in increasing order.\nAnswer: v, a, -2\/5, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 19\/488 and 45\/28.\nAnswer: 3416","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 9506005 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 302 is divided by 38?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1743 - 1745. Which is the second smallest value? (a) k (b) -1\/7 (c) -13 (d) -1\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -868\/19 + 292554\/6403. Let g = -49914777954\/6403 - -7795530. Let z = g + n. What is the smallest value in z, 4, -2\/19?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -3473, -6943, -10413, -13883?\n\"Answer: -3470*p - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2 - 140061?\nAnswer: -140063","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*n**3*u**2 + n**3*u - 597*n**3 - 155*n*u with respect to u.\nAnswer: -4*n**3*u + n**3 - 155*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12.82743mg to tonnes.\nAnswer: 0.00000001282743","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.075 (b) 0.1 (c) 2 (d) 1\/3 (e) 72\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 106.56 or -0.127?\nAnswer: 106.56","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -48*a**2*m**2 - 2*a**2*x + 13*a*m*x - 3*m**2*x + 3*m wrt m.\nAnswer: -96*a**2 - 6*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + 3 + (0 + 5 - 10).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 2, a: 3, l: 3, b: 1, x: 9}. What is prob of sequence lab?\nAnswer: 1\/544","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 916 a factor of 114412064?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -111111 (base 2) to base 3\nAnswer: -2100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = s**3 - 3*s**2 + 4*s - 4. Let a be h(3). Suppose -z + a = -12. What is the highest common factor of 10 and z?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -8.3 - -10. Let d = -1.5 + g. Let h be (-2)\/(-3) - (-6 + 68\/12). Which is the closest to d? (a) h (b) 3 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = r**2 + 1. Let m(u) = 24*u**2 + 64*u + 18. Let g(w) = -16*w**2 - 40*w - 12. Let s(l) = -8*g(l) - 5*m(l). Determine 6*k(y) - s(y).\nAnswer: -2*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) be the second derivative of 0*o**3 + 0*o**5 - 29\/2*o**2 + 121*o - 1\/4*o**4 + 0 - 11\/10*o**6. Find the third derivative of l(t) wrt t.\nAnswer: -792*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-120)\/76)\/(138\/(-874))?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7\/(-12)*20*(-110)\/9625.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*b**2 - 161 + 5*b**2 + 124)*(-b + 0 + 0) to the form k*b**3 + f + p*b**2 + q*b and give q.\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2 - 515d375?\nAnswer: -515d377","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1 - -2)*-7*(-8)\/56. Let v = -18.4 + 20. Let n = v + -1.7. Sort -3, n, d, -0.2 in ascending order.\nAnswer: -3, -0.2, n, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 3, 616 in descending order.\nAnswer: 616, 3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = k + 5*i + 72, 4*k - i + 73 = 0. Let h(z) = -z**3 - 21*z**2 - 38*z + 2. Let s be h(k). Solve -s*a + 3 = -1 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 1043 = 393. Let r = 8 + -4. Suppose -2*k + 2*i + z = 0, 0 = -2*k - r*i + 151 - 39. What is the remainder when k is divided by 21?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 171717.99 minutes?\nAnswer: 2861.9665","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -19261, -19279, -19343, -19477, -19705, -20051, -20539, -21193?\n\"Answer: -4*c**3 + c**2 + 7*c - 19265","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3522 is divided by 701.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1062 + 78. Let m = -77 + 78. What is the common denominator of -95\/16 and x\/208 - (m + -4)?\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -130532 - 4?\nAnswer: -130536","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 82735900 and 260?\nAnswer: 82735900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 6*c = -28. Solve -c*y + 15 = -13 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2503 - -2537. What is the highest common factor of r and 1173?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*z - 4*z + z)*(1 + 1 - 1) + 527*z + 630*z - 156*z to the form o*z + u and give o.\nAnswer: 1000","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hxt when three letters picked without replacement from {f: 7, h: 9, x: 2, t: 1}.\nAnswer: 1\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(2\/3)\/(v*v**(-2\/7)))**(-11\/5) assuming v is positive.\nAnswer: v**(11\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = h**3 + 12*h**2 + 18*h - 9. Let i be k(-10). Let r = -7 - -11. Suppose -p = 3*l - 18, -r*p = -p - 5*l + 16. Solve 2*o + i = p for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is c in 15*c**3\/8 + 901*c**2\/4 + 1427*c - 2040 = 0?\nAnswer: -340\/3, -8, 6\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*f - 9*f + 4. Suppose -f*v = -v - 4. Factor 4*r**5 + 12*r**4 + r**3 + r**5 - 2*r**2 - 4*r**v.\nAnswer: r**2*(r + 1)**2*(5*r - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 0 + 5 - 5 - 96*t - 1. What is the tens digit of d(-1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 = 476408?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6 - 5)*7\/28.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -6.29 + 6.32. Let f = -24 - -29. Which is the smallest value? (a) k (b) f (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1)\/(-1)*-1 - 286\/(-154). Let m = 0.02 + 0. Let v = m - 0.42. What is the third smallest value in v, s, 1\/4?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 49455038.\nAnswer: 2, 103, 240073","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 17207777 to the power of 1\/9, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -n**3 + 9*n**2 - n + 1. Let v be u(10). Let p = v - -112. Find the third derivative of 8*y**3 - 29*y**2 - 19*y**6 - 14*y**p + 6*y**3 wrt y.\nAnswer: -2280*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (2\/8*6)\/(2\/36). Differentiate -3 - 63*q + 92*q - w with respect to q.\nAnswer: 29","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:46 AM and 9:03 AM?\nAnswer: 197","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 774.0884 millilitres to litres.\nAnswer: 0.7740884","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = -g + 45185, 94*a - 99*a + 180742 = 4*g. List the prime factors of g.\nAnswer: 3, 15061","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*n**2 - n**2 - n + 2*n)*(1 + 0 - 7).\nAnswer: -6*n**2 - 6*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -27*n**3 + 13*n**2 + 13*n + 5. Let p be (-146)\/(-10) + 6\/15. Let k be u(p). What is k rounded to the nearest ten thousand?\nAnswer: -90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -23*p**5 + 2*p**4 + 2*p**2 + p - 2. Let z(v) = -v**5 + v**4 + v**2 + v - 1. Let f(q) = -l(q) + 2*z(q). Find the second derivative of f(d) wrt d.\nAnswer: 420*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -x**3 - 5*x**2 - 4*x - 7. Let m be c(-3). Let n = m - -18. What is the remainder when 18 is divided by n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*u - 3*u**2 + 7*u**2 - 11*u**2 + 2*u**2 to p*u + k*u**2 + q and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from apzzppzazz. Give prob of sequence papa.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange v**2 + 70*v - 286*v**3 + 4 - 115*v + 290*v**3 to the form i + k*v + y*v**2 + t*v**3 and give t.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 40\/16 + (-1)\/2. Let h = -3.1 - -3. Which is the second smallest value? (a) -3\/5 (b) h (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2\/21 (b) -82 (c) -2\/13 (d) 1\/5 (e) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-13 - -1)\/((-3)\/((-30)\/4)). Let d = q + 62. Does 4 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + ((sqrt(39)*-4)\/sqrt(3) - (3 + (sqrt(13) - (sqrt(13)*-1 - sqrt(13))))).\nAnswer: -7*sqrt(13) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2, 18964, -15?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o when two letters picked without replacement from {o: 6, i: 7}?\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*p - 21*p - 55 = -383. Solve 0 = -2*s + 4*u + u - p, 4*s + 4 = 4*u for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 47797776 to the power of 1\/3, to the nearest integer?\nAnswer: 363","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 575*u + 1173. Is k(16) a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23*f**2 + 444*f - 218*f - 226*f.\nAnswer: 23*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = g, 2*l + 53006 - 178264 = g. What are the prime factors of l?\nAnswer: 2, 3, 17, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14052 is divided by 314?\nAnswer: 236","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 520 = 6*r - r. What is the hundreds digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 640271 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 0 - -25 - (2 - 12 - -20)\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-906)\/90 + 9)*6\/(-48)*18.\nAnswer: 12\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 29*c**2 - 5*c - 8. What is the units digit of v(4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(-7)*g*g\/(g\/((g**(-1)*g*g)\/g*g))*g)\/(g*g\/g**(-1\/2)*g)**(13\/4))\/(g**(1\/6)\/(g\/((g**(-6)*g*g)\/g)))**(-45) assuming g is positive.\nAnswer: g**(-2223\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 12*l - 9. Let h be k(9). Let g be 2*(4 + h\/(-24)). What is the nearest to g in 0.12, -3\/5, 3\/4?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -138 (b) -4\/7 (c) -152\/21 (d) 1.2 (e) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 6*t**2 - 131*t + 732. Calculate the remainder when v(5) is divided by 63.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -28548973*d. Let z(a) = 15*a**2. Calculate z(v(g)).\nAnswer: 12225657890320935*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 10.1 + -6.2. Let s = -3.8 + n. Which is the biggest value? (a) 0.5 (b) s (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 445 and 64970.\nAnswer: 64970","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(38))\/sqrt(2)*3 - ((sqrt(1216)*-2)**2 + 0).\nAnswer: -4864 + 9*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 206324351?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 34924029?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 589 + 237*q**3 - 238*q**3 - 1412 to the form m*q + g + h*q**2 + j*q**3 and give g.\nAnswer: -823","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1566449 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 843 - 908. Let y = -15 - -76. Let i = y + p. Which is the third biggest value? (a) 5 (b) -2 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -10*u**2 + 425*u + 675405. Calculate v(282).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -39 - -59. Let a = 5 + t. What is the third derivative of -4*l**2 - 10*l**3 + 9*l**2 - a*l**2 wrt l?\nAnswer: -60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 12 and 12974188.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Product of -38121 and 1.9.\nAnswer: -72429.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3629351 to the nearest integer?\nAnswer: 154","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -23613 > -23941?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-8)\/7 + (12\/(-14) - -1). Let z be (8\/(-16))\/(j\/454). Let w = z - 86. What are the prime factors of w?\nAnswer: 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3323\/5 - -674. Find the common denominator of (183\/(-15))\/((-56)\/(-20)) and i.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3858 divided by -3.\nAnswer: -1286","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put together 11 and 6.1.\nAnswer: 17.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 597 and 3?\nAnswer: 597","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 121 minutes before 1:47 PM?\nAnswer: 11:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-104)\/10 - (-154 - -148). Which is the closest to -1\/2? (a) 3 (b) -1\/3 (c) h (d) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 153 is divided by 52.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 421 minutes before 5:05 AM?\nAnswer: 10:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10 - (-7 - (2 + -18)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/40 of a litre?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-16)\/(-72) + (25\/9 - 1). Factor -4\/11*w**3 + 2\/11*w**5 + 2\/11*w - 2\/11*w**4 + 4\/11*w**r - 2\/11.\nAnswer: 2*(w - 1)**3*(w + 1)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) be the first derivative of 9*d**5\/20 + 2*d**4 + 13*d**3\/6 + d**2 - 12*d + 10. Let w(n) be the first derivative of b(n). Factor w(x).\nAnswer: (x + 2)*(3*x + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -135379\/22190 + 2\/2219. Find the common denominator of v and 22\/7.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -795 = -132*u - 2082 - 693 for u.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -15*j + 191. Let s(k) = -255*k + 3250. Let o(x) = 35*h(x) - 2*s(x). Let v be o(12). Solve -7 + 2 = v*p for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + -7 - 1 - -1.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 31*r - 714. Let j be l(23). Let m(c) = -11*c**2 - 5*c - 1 + 4*c - c**2. Determine m(j).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 8\/28 + 556\/14. Let w = z + -45. Sort w, -1, -2 in decreasing order.\nAnswer: -1, -2, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -40, -1, -27 in decreasing order.\nAnswer: -1, -27, -40","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -s - 12. Let z(h) = 3*h - 1. Let p be z(-3). Let x be r(p). Let t be 3 - ((5 - 3) + x). Solve 2*o + 10 = 2*q, -q - t = -4*q - 3*o for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 7 + -1. Let q = p + -3. Suppose d - v + 0*v - 3 = 0, -1 = -v. Which is the smallest value? (a) q (b) d (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 21 = -q, r + 1 = -2*q + 14. Let j(c) = 4*c**3 - 2*c**2 - c + 3. Let u(m) = -9*m**3 + 5*m**2 + 3*m - 7. Let f = 2 - 0. What is f*u(t) + r*j(t)?\nAnswer: 2*t**3 + t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -57*j**2 + 810*j - 40. What is f(13)?\nAnswer: 857","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 155 minutes after 7:05 AM?\nAnswer: 9:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = s**3 + 4*s**2 - 91*s - 363. What is t(-4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:00 PM and 9:36 PM?\nAnswer: 96","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -6.16 + 6. Let p = -0.02 + r. Let l = p - -0.18013. Round l to 4 dps.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (80\/24)\/((-2)\/(-3)). Let g(s) = -s**2 + 1. Let o(y) be the first derivative of y**3\/3 - y - 21. Give c*o(p) + 7*g(p).\nAnswer: -2*p**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + 1\/((-4)\/(-9)).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -113121 (base 4) to base 11\nAnswer: -1141","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 12*g**2 - g - 1. Let n(u) = -u**2 - 4*u - 4. Let s be n(-3). Let c be a(s). Calculate the remainder when (-35)\/(-3) - 8\/c is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) be the second derivative of -2*g**7\/21 - 7*g**6\/30 + 9*g**5\/10 + g**4\/3 - 7*g**3\/3 + 3*g**2\/2 - 11*g + 26. Let w(z) = 0. What is z?\nAnswer: -3, -1, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1.06 + -0.06. Let g = -23 + 22.35. Let n = g - -5.65. Which is the closest to h? (a) n (b) 4 (c) 3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -720 = -5*r + 2*a + 3*a, -a - 740 = -5*r. List the prime factors of r.\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -70 - -46. What are the prime factors of ((-24)\/18)\/(2\/d)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*f**2 - 12*f**2 + 2*f**3 + 0*f**2)*(2*f - 49*f - 43*f).\nAnswer: -180*f**4 + 900*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 1, h: 3, c: 1}. What is prob of picking 2 h and 1 c?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -u**3 - 81*u**2 - 75*u + 239. Let a be l(-80). Which is smaller: a or -153?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28 = 20*g - 13*g. Let z(d) = 9*d**2 + 3*d - 30. Let y be z(g). Find l such that 100\/3*l - y*l**2 + 243*l**4 - 8\/3 + 81*l**3 = 0.\nAnswer: -1, 2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 69\/244 - 2\/61. Let t = -1.6 - -9.6. Let d = 17 - t. Which is greater: d or c?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 408, -206, -1232, -2670?\nAnswer: -4520","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:17 PM and 3:16 AM?\nAnswer: 539","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 505329180 to the nearest integer?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -753 + -589?\nAnswer: -1342","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 18 - 18. Suppose -380 = -5*h - u*h. What is the remainder when h is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.508977 rounded to three dps?\nAnswer: 7.509","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -4*j + 46. Let y be r(29). Is -69 < y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -h**3 + 3*h**2 - 2*h. Let q be b(2). Suppose 0 = 5*n + 3*y - 2*y - 21, 5*n - 5*y = 45. Suppose 0 = 4*t + 4*k, 6 = -n*k - 4. Which is smaller: q or t?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 915142 to the power of 1\/3, to the nearest integer?\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 84.64514 minutes to seconds.\nAnswer: 5078.7084","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 9*v**3 - v**3 - 5*v**2 - 10*v**3 + (-1 + 1 + v**2)*(-2 - v + 2).\nAnswer: -3*v**3 - 5*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40*j + 57*j - 65*j - 324 + 1044 = 0 for j.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5895509 is divided by 114.\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -j**3 - 15*j**2 + 17*j + 21. Let v be 2 + -3 + 3 + (-126)\/7. Let a be w(v). Solve 23 - 8 = a*h for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-1)\/(1*1\/(-36))?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 7, -5 in descending order.\nAnswer: 7, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 21561522 (base 7) in base 10?\nAnswer: 1863780","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 3*i**3 + 66*i**2 + 17*i + 18. Let c = 585 + -606. Does 12 divide t(c)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 870 + -849. Let y = 95 + -89. Calculate the remainder when n is divided by y.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1194621 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -18 - -12. Let j be (8\/6)\/(-5*(-4)\/9510). Is b\/(6 - 4) + j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1836 and 3348.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1 + 0 - 26\/22. Let o = 8 + -7. Put o, -0.5, z in decreasing order.\nAnswer: o, z, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 4*j - 1. Let r be f(1). Solve -4*x + 5*g = 31, -g + 3 = -r*x - 4*g for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 315398?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4564 is divided by 469?\nAnswer: 343","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 42385\/(-9342) + -2*(-27)\/12?\nAnswer: -1\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5100 is divided by 241?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lll when three letters picked without replacement from {l: 7}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 23914 and 13044.\nAnswer: 143484","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.0212 + 0.2788. Let z = 311 - 2181\/7. What is the biggest value in t, z, -8?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 773.71785 to the nearest 10.\nAnswer: 770","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 23 + 547?\nAnswer: 56a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1.945 - -1.61. Let w = g + 0.37. Let b = w + 2.965. Sort b, -2, 18.\nAnswer: -2, b, 18","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.37*1\nAnswer: -0.37","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 83\/28 and 87\/224.\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -q**3 + 13*q**2 - 194*q?\nAnswer: -6*q + 26","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 49*h - 49*h + 1695*h**3 - 1680*h**3.\nAnswer: 15*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 22 = -17. Solve -z*m + 3 = -2 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 182150 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1 + 338*b**2 + 209*b**2 - 80*b**2 + 1553*b**6 + 81*b**2 wrt b.\nAnswer: 186360*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -207, -834, -1879, -3342, -5223, -7522, -10239?\n\"Answer: -209*j**2 + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 227919409*p**2 - 181164*p + 36 = 0.\nAnswer: 6\/15097","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d = 4*k + 978 - 996, -k + 22 = 4*d for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 i when three letters picked without replacement from xhaixhxdaxdxaiidx?\nAnswer: 1\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 747 or 55?\nAnswer: 747","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) be the second derivative of -y**3\/6 - 591*y. Let m(t) = t - 3. Let k be m(5). Let i(r) = -8*r**2 + 0*r**k - 5*r**2. What is i(p(x))?\nAnswer: -13*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j = 3*h - 15 + 6, -2*j + 9 = 3*h. Suppose 18 = 3*c + h, -5*g + c + 1615 = 0. List the prime factors of g.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/(-15))\/((-26)\/39).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -70 - -76. Let a(q) = -q + 3. Let r(g) = g**3 + 4*g**2 - 7*g - 7. Let f be r(-5). Let b be a(f). Solve s*i - i - 30 = 5*u, -2*u - 6 = b for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 842.8993 millennia?\nAnswer: 84289.93","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 43616 and 3488?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 3 m when four letters picked without replacement from mmmmhbmht?\nAnswer: 10\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -638*t - 46*t + 34408 = 654*t + 686*t for t.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.045 - -0.445. Let l = -543\/212 + -10\/53. Which is the biggest value? (a) l (b) -0.2 (c) v (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -9974, -9972, -9976, -9992, -10026, -10084, -10172, -10296?\nAnswer: -10462","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 732114 and 5.\nAnswer: 3660570","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 788903 a multiple of 77?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -28 - 9?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*k = -2*k - 231. Let o = k + -33. Suppose 3*n + o*n + y = 7, n - y = 1. Solve 6 = n*x + 4*v - 3*v, 5*v - 8 = x for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = d**2 - 24*d - 1720. Does 10 divide z(-126)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/(-88) - ((-355)\/66 - -8)?\nAnswer: -8\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 9115690 and 6290.\nAnswer: 370","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide ((-448)\/35)\/((-2)\/5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -755 + -2*(-1)\/2. Suppose -22*h + 38*h + 18576 = 0. Let i = n - h. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p, 1 z, and 1 f when three letters picked without replacement from fofzwzp.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2 - -22220?\nAnswer: 22211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 998991.\nAnswer: 3, 7, 101, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is one sixteenth of a milligram in nanograms?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 618 minutes after 5:07 AM?\nAnswer: 3:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 292.9 - 287. Let b = -5.8 + t. Let f = -0.3 + -0.1. Is f bigger than b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 2 t when three letters picked without replacement from dttt?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 25 - (-3 + (-8 - 2) - -175).\nAnswer: -137","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*c - 6*c = -3 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*a = 39*a - 1225. Calculate the remainder when 139 is divided by a.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 437893.\nAnswer: 19, 1213","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = -11*r + 16*r - 4*u + 6*u, -3*u - 14 = -4*r for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*p + 6 - 6 + (-3 + 3 + 2)*(5*p + 4 - 4))*(-3*p**4 + 5*p**4 + 10*p**3 - 4*p**4).\nAnswer: -34*p**5 + 170*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 273 is divided by 16.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*t**2 - 3*t**2 + 2*t - t**2 + (-4*t - 2*t + 4*t)*(-19*t + 14 - 14) + 3*t**2 - 3*t**2 - 2*t**2 in the form l + i*t**2 + c*t and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*v - 11*y = -3*y - 60, 0 = -5*v - y - 20 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 28 + -1. What is the remainder when 106 is divided by d?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -4 - -1 - (-5)\/1. Suppose -w*j + 12 = 4*p, -2*j = p - j - 1. Solve -v + i + 7 = -2*v, -23 = p*v + 2*i for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p**5\/7 - 42*p**4 + 23424*p**3 + 6432304*p**2\/7 - 4425783648*p\/7 + 264065779872\/7 = 0 for p.\nAnswer: -262, 101, 138","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*u + 21 = -0. Let g(y) = 4*y**3 - 3*y**2 + 6*y. Let a(h) = 7*h**3 - 5*h**2 + 11*h. Determine u*a(r) - 5*g(r).\nAnswer: r**3 + 3*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -226, -33, -3 in descending order.\nAnswer: -3, -33, -226","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - 3*g + 15 = 0, t - 19 = -5*g. Suppose -5*u - 4*r + 570 = 0, 271 = 2*u + t*r + 55. Let m = -112 + u. Solve 11*s - 20 = m*s for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in 8, -3\/400, 0.11, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/(40\/15))\/((-10)\/4).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37 - 3 = 8*y for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/16)\/((-10)\/15*(-24)\/(-64)).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2 + -1. Let l be (1 + (1 - h))*1. What is the units digit of 0 + -1 + (8 - l)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6692 divided by 1398\nAnswer: 3346\/699","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -98\/45 - -12\/5. Let o be (1\/(-3))\/((-1)\/(-1)). Let f = -2.1 - -1.1. What is the closest to o in d, -2\/3, f?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 - (1 - -23) - (57 - -121 - 189)\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4 + 5322*d + 4069*d**2 - 5322*d + 4 to y*d**2 + h + g*d and give y.\nAnswer: 4069","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/8 of a litre in millilitres?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 132 a factor of 10049182?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -119*m - 1945591 = -150*m. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -j**3 + j**2 + 2*j. Let h be 129\/(-45) - 2\/15. Let f be o(h). What is the highest common divisor of f and 12?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -131\/3 + 43. Put 0.3, j, -0.4 in decreasing order.\nAnswer: 0.3, -0.4, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*m**5 - 263*m**3 - 2*m + 135 wrt m.\nAnswer: -40*m**3 - 1578*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 65, 263, 593, 1055, 1649, 2375?\nAnswer: 3233","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13541 divided by 78.\nAnswer: 13541\/78","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 27 - 40. What is the remainder when -3*1 - (b - 1) is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 41133\/16 + -2570. Let b be 662\/(-6) - (-2)\/6. What is the common denominator of 131\/b + 4\/(-10) and n?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/32 of a gram in micrograms?\nAnswer: 93750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2675, -2674, -2673, -2672, -2671, -2670?\nAnswer: -2669","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + 18 + -44 - -24.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (16*f + 72 - 72)*(3*f + 0*f - 4*f + (-6 + 2 + 2)*(0*f - 2*f + 0*f)).\nAnswer: 48*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -5*q - 27. Let j be m(-6). Let i be 161\/42 - 1\/2 - j. What is the closest to i in 0.3, 0.7, 1?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -92 + 99. Determine r, given that 17*r + 10 + 2*r**2 + 7*r - i*r**2 + 110 + r = 0.\nAnswer: -3, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34 less than or equal to 14?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 75 = -54*l + 21 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 96 and 96.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1 - -82?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/(-10) - (-93)\/(-15))\/2\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-182)\/96*698\/(-2443) + (-3)\/8?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1205.\nAnswer: 5, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 2651*j**2 - 31853*j + 21. Give k(12).\nAnswer: -471","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-8)\/(-1) - 4 - 70. Let p = -59 - v. Solve 0 = -p*x + 3*x + 20 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u when two letters picked without replacement from quqluululuqll.\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -6028.115 + 6058. Let p = i + -30. Round p to two decimal places.\nAnswer: -0.12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27 minutes before 2:03 AM?\nAnswer: 1:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 78, 8, 3 in increasing order.\nAnswer: 3, 8, 78","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 138802, 277515, 416214, 554899, 693570, 832227, 970870?\n\"Answer: -7*b**2 + 138734*b + 75","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12.67 - 4.30576.\nAnswer: -16.97576","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 101 and 1919.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -87 - -86. Let g(z) = -3*z**3 + 30*z - 50*z + 3*z**2 + 24*z. Let t be g(s). Solve -t*y + 5 = -3 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = -2*v + 5*v. Let q be (v\/4)\/(399\/28). Let y be 12\/4*4\/(-12). What is the second biggest value in -2, y, q?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(1\/(-7)*83\/166)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -42 by -6.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -9\/13 (b) -4 (c) 2676\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -337, -325, -305, -277?\n\"Answer: 4*q**2 - 341","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 70776500 to the nearest integer?\nAnswer: 414","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -1\/2, 2\/7, -5\/76, 1\/1498 in descending order.\nAnswer: 3, 2\/7, 1\/1498, -5\/76, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 18 (b) 2 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 12 - 16 + 9 - 3*p + 472*p**2. Let k be n(2). Suppose -687 = 10*a - k. Is a a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1742 and 603?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4614 - 2348 - m + 0*m - 2266.\nAnswer: -m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2 or -209?\nAnswer: -209","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = j**2 - 4*j + 4. Let a(f) = -5*f + 1. Let o be a(-4). Let g be (-19)\/(-7) + 6\/o. Suppose 4*y + 24 = 4*k, 2*y + 0 = -3*k + g. Give m(k).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2298 and 2681?\nAnswer: 16086","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20 = 116*g - 111*g for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 2\/9 of a day?\nAnswer: 19200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 20. Let u(t) = 947*t + 123. Calculate 6*q(n) - u(n).\nAnswer: -947*n - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, -4\/5, -5 in descending order.\nAnswer: -4\/5, -5, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -49\/1971 and 127\/36.\nAnswer: 7884","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 0.033 * -17\nAnswer: -0.561","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + q = -20, -4*u + q + 2 - 36 = 0. What are the prime factors of u + (1657 - (-9 + 9))?\nAnswer: 2, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8331.\nAnswer: 3, 2777","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 506, -1\/6, 13548?\nAnswer: 13548","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 1, n: 1, t: 1, b: 1, o: 1}. Give prob of sequence jt.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3 + 14 + -7 - -6) + (-4 - 35)?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 664 is divided by 26.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -358081, -716164, -1074247, -1432330, -1790413?\n\"Answer: -358083*d + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:00 PM and 6:59 AM?\nAnswer: 719","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -9.5 - -3.8. Let g = 6 + x. What is the closest to 3 in 1, -2\/7, g?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 73 + -72. What is the third smallest value in -1\/19, 1\/2, h, -5?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1)\/(-21) - (-16)\/56. Let s(b) be the first derivative of 5*b + 2 - q*b**3 - 3*b**2. Determine s(-5).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 50*l - 36*l - 27*l - 9 + 9.\nAnswer: -13*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00661616263 to six decimal places.\nAnswer: -0.006616","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -d + d**2 + 2*d - 2*d + 1. Let s(u) = -4*u**2 + 6*u - 6. Suppose 12 = 3*k, 2*z + 2*z + 5*k = 16. Let q be 1\/3*(-159 - 3)\/9. Give q*g(y) + z*s(y).\nAnswer: -2*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 33 (base 13) in base 2?\nAnswer: 101010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -2062 - 2066 + 4128 + d**2. Let i = 5 + -3. Let v(z) = 2*z + 2. Let c(g) = g**2 + 3*g + 3. Let y(t) = i*c(t) - 3*v(t). Calculate y(b(s)).\nAnswer: 2*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.42, 8, 2, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 - 10 - 5)*(0*v + v - 3*v)*(0 + 0 - 3 + 2) to the form h + m*v and give m.\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 3*d**3 - 4*d**3 + 0*d + 7 - 4*d**2 + 5*d + 0*d. Let w = 48 - 39. What is the least common multiple of v(-5) and w?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o = -3*o. Suppose o = -5*n + 4*n + h - 6, 0 = -n - 2*h + 6. Let y = -254 - -509\/2. Do n and y have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 8660 and 2620?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 456719 - 456718.543966. Let o = d - 0.456. Round o to 5 decimal places.\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2\/13 (b) 1\/3 (c) 270 (d) -0.846\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 697579 is divided by 95?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.5922 to 2 dps.\nAnswer: -0.59","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 43494 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -6557, -8843, -11129, -13415, -15701?\n\"Answer: -2286*h - 4271","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 94*y. Let o(c) = -312 + 931 - 311 - c - 308. Give x(o(j)).\nAnswer: -94*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 8*h**2 + h + 1. Let q be l(-1). Let s = q + -5. Suppose -y + 0*z + 13 = -z, -4*y + 56 = -s*z. Is 7 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 979830.\nAnswer: 2, 3, 5, 19, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.2 + -0.2. Let q = -55.13 - -60.13. Put d, -0.3, 0.07, q in decreasing order.\nAnswer: q, 0.07, d, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/45)\/(6\/9).\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -169 + 168.99893. What is j rounded to four decimal places?\nAnswer: -0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -6*y - 1. Suppose -2*i + 7*i = -3*q + 7, 5*q + 5*i = 15. Suppose -15 = -5*k, -q = -n + 6*n - 3*k. Give p(n).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -s**2 + s + 1. Let u be d(0). Let f(i) = i**2. Determine f(u).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 311*t - 186*t + 375 = 0 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 331825881 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -4, -1, 5, -2, -4362 in descending order.\nAnswer: 5, 2, -1, -2, -4, -4362","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1454\/(-8) + 5 - 2\/8. Let m = 179 + p. Which is the biggest value? (a) 3 (b) -7 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -11611, -11444, -11271, -11092?\n\"Answer: 3*n**2 + 158*n - 11772","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -13, -6, -5, -16, -45, -98, -181, -300?\nAnswer: -461","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) be the second derivative of -u**5\/4 - u**4\/12 + 5*u**3\/2 - u**2\/2 + 43*u + 3. Find the second derivative of r(a) wrt a.\nAnswer: -30*a - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*c + 7*c - 1 = 0 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -75*t = -65*t + 16376 - 15926 for t.\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -5*a - 17. Let i be 4576\/120 - 4\/30. Let d = i - 43. What is the least common multiple of c(d) and 10?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/((36\/72)\/(65\/(-10)))?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 48\/9 + 2\/3. Suppose -2*r + d = -0*r. Suppose y = -5*a + 24, -23*y + 20*y = -5*a + 8. Solve -2 = m, 3*m - 1 + r = -a*q for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1765.6 + -1766. Put m, -1\/3, -13 in decreasing order.\nAnswer: -1\/3, m, -13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*s**2 + 5*s + 0*s**2 - 25*s**3.\nAnswer: -25*s**3 + 5*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 795 and 30?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 18756884.53 rounded to the nearest 1000?\nAnswer: 18757000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 13 in 219, 7, 100?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -156444 (base 9) to base 13.\nAnswer: -34c72","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-20)\/8*6\/(-5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -163*j**2 + 56*j**2 + 58*j**2 + 49*j**2 - 2*j - 2770*j**3.\nAnswer: -2770*j**3 - 2*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11, 1, 0, -71, -222, -14, 3 in increasing order.\nAnswer: -222, -71, -14, -11, 0, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 n when three letters picked without replacement from nnmmnnnmwwmnm?\nAnswer: 10\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 865, 3284, 7315, 12958, 20213?\n\"Answer: 806*s**2 + s + 58","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yyyr when four letters picked without replacement from {y: 7, r: 5}.\nAnswer: 35\/396","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 9 - 9.4. Sort -2\/3, x, 3 in ascending order.\nAnswer: -2\/3, x, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -4, 9186, -9, -3 in descending order.\nAnswer: 9186, 2, -3, -4, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 12761 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-32)\/(-4))\/(-2) + 5. Which is the nearest to d? (a) 0 (b) 5 (c) 6\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) be the second derivative of 1\/12*l**4 + 0*l**3 + 1\/2*l**2 + 34*l + 0. Let x(b) = b**2 - 5*b - 14. Let o be x(-2). What is w(o)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16292 to the power of 1\/3, to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-9)*t**(3\/7)*t)\/(t**(-2\/31)*t**(-1\/30)) assuming t is positive.\nAnswer: t**(-48653\/6510)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 504 minutes before 2:36 PM?\nAnswer: 6:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -8.7 and -1312.\nAnswer: 11414.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find m, given that -2*m**2\/5 - 106*m\/5 - 1292\/5 = 0.\nAnswer: -34, -19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4\/3 in -0.0232, 1, -3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 11069145 and 44276580?\nAnswer: 44276580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 2*y**3 - 64*y**2 + 9*y - 332. Give z(32).\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1000000000 - -10101111?\nAnswer: 1010101111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5724 and 7830?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 599073.\nAnswer: 3, 397, 503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gwwgwggwww. What is prob of picking 2 w and 2 g?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(2\/7)*q*q**2\/q)**(-7))**(1\/73) assuming q is positive.\nAnswer: q**(-16\/73)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -61*k**2 - 5*k - 164 + 49 + 57*k**2 with respect to k.\nAnswer: -8*k - 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 230333111 (base 4) in base 13?\nAnswer: 65b52","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 92 - 8 = -84*u for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 <= 5\/13746854?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 90\/150 + (-504)\/490. Which is the closest to -2? (a) -0.3 (b) s (c) 0.4 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = c + 8. Let d be ((-135)\/60)\/((-3)\/8). Calculate r(d).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zlzc when four letters picked without replacement from luzocoozclzooo?\nAnswer: 1\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -772950, -6183648, -20869828, -49469232, -96619602, -166958680, -265124208, -395753928?\n\"Answer: -772957*f**3 + f**2 - 2*f + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*w - w**2 + 5*w + 17508*w - 88*w**2 - 17508*w + (-3*w - 4*w + 5*w)*(-1 - 2*w + 1).\nAnswer: -85*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 525\/479 - 586507\/7185. Let x = -280\/3 - s. Which is greater: x or -14?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ttvv when four letters picked without replacement from ttavaaavaavaavtataa.\nAnswer: 1\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -5 - 5 - 21*m**2 + 10 - 1. Let y(w) = -w**2 + 60*w + 4. Let k(u) = 3*u**2 - 165*u - 11. Let r(i) = 4*k(i) + 11*y(i). Give o(r(q)).\nAnswer: -21*q**4 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n**(1\/4)\/n)\/(n\/(n**3*n))*(n**(1\/4))**(1\/2))\/(n**3*n\/(n\/(n*n*n\/n**(-4)))*n**(-2\/23)\/(n**2\/n)) assuming n is positive.\nAnswer: n**(-1019\/184)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 57471 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 6054005 - 3?\nAnswer: 6054002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1dd - -4?\nAnswer: -1d9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -55289 - -81931. Is b a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*p + 3*p + p)*(-2 + 6 + 0)*(-22 + 84 - 31) - 1 + 1 + p.\nAnswer: 249*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 27 + -20 - (-4)\/2. Let v(d) = 11*d - 8. Is v(g) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -41 - 36 = 11*z for z.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -2*a**2 - 34*a - 3. Let v = -118 + 115. Let x(s) = 5*s**2 + 104*s + 8. Let r(f) = v*x(f) - 8*u(f). Find the second derivative of r(n) wrt n.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 55*t**2\/3 + 284795*t\/3 + 8630.\nAnswer: 5*(t + 5178)*(11*t + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -4*k - 110. Let c be q(-28). Suppose 3*h - 366 = -c*u, 4*u + 28*h = 24*h + 728. Is 90 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -13436267*f**3*q**2 + 35131*f**3*q + 4*f**3 - 3*f**2*q - 2*f - q wrt q.\nAnswer: -26872534*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (u + u - 3*u + (1 + 0 - 3)*(2*u - 4*u + 0*u) - 1 - u + 1)*(-5*u**3 - u**3 + 3*u**3).\nAnswer: -6*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 3.26 times -4322\nAnswer: -14089.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/25 in 0, 1, -5, 0.41, -0.3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100001 - -1110100101111100?\nAnswer: 1110100101011011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -24 - -22. Is (32\/(-80))\/(j\/22670) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2.9 + 0.1. Let g be ((-315)\/(-36) - 9) + 1\/(-8). What is the closest to 1\/4 in y, g, -2\/3?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-3*(-4)\/54)\/(8\/936). Calculate the highest common factor of q and 845.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -42*y - 30*y + 579338 + 4110814. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1298081332?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19241?\nAnswer: 71, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 973565?\nAnswer: 5, 194713","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -p**2 + 6*p + 9. Let l be j(7). Suppose 0 = l*o - 0*o - 16. Calculate the greatest common divisor of 56 and o.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 9 - 12. Let r(a) = 232*a - 64. Let k(x) = 11*x - 3. Let n(y) = -64*k(y) + 3*r(y). Let p(b) = -b. Calculate q*n(d) + 21*p(d).\nAnswer: 3*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - d + 154 = 7*c, c - 18 = 3*d. What is the remainder when 89 is divided by c?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 459*j + 1732. Calculate n(-3).\nAnswer: 355","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cccccvcvccccccccvvcv. What is prob of picking 2 v and 1 c?\nAnswer: 5\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*q**2 - 2 - 6*q**2 + 2.\nAnswer: -12*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) be the third derivative of 0*w - 3*w**3 - 1\/24*w**4 - 10*w**2 + 0. Let j be x(-18). Solve 3*v - 12 = j, -3*v = -2*z - 13 + 1 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 2 - 1)*((4 + 2 - 4)*(-6*c + 7*c + 3*c) + 1 - 1 - 2*c + 0*c + 3*c + 0*c).\nAnswer: -18*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 1555330?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -k**3 - 612*k**2 + 2*k - 2. Let w(x) = -x**3 - x**2 + x - 1. Give -r(z) + 2*w(z).\nAnswer: -z**3 + 610*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 60, 115, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 7) in base 9?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -2*u**3 + 15*u**2 - 5*u - 14. Let f be n(7). Are f and 1\/24 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -589510623 divided by 15115657.\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 242*w = 249*w - 1806. Does 3 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -70.8? (a) -0.5 (b) -0.2 (c) 1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 253*t. Suppose -3*q + 155 = -4*d, -2*q - d + 175 = 2*q. Let i = q - 44. Is m(i) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 385.7, -2\/9, -3\/7, 3\/2?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -5, -8\/45, -0.16, 2\/3, -3, -2?\nAnswer: -8\/45","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 236 and 1829.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 52646423 is divided by 248.\nAnswer: 239","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 1 s when two letters picked without replacement from {s: 5, f: 1, a: 4, j: 8}?\nAnswer: 20\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 2*c**2 - 2*c + 2. Let m be y(0). Suppose h + m*h = 60. Calculate the lowest common multiple of 12 and h.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -5, 0, 412657, 4, -1 in decreasing order.\nAnswer: 412657, 4, 0, -1, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 117 + -27992a?\nAnswer: -279813","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -12*u - 291. Determine x(-14).\nAnswer: -123","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1044 divided by 2230?\nAnswer: 522\/1115","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.136? (a) 0.04 (b) 300 (c) 0.3 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -170*k**3 - 333*k**3 - 301*k**3 + 532*k**3.\nAnswer: -272*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (-12)\/(-102) + 83\/((-53618)\/(-14136))\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Solve -1880 = 90*o + 98*o for o.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -261, -360, -383, -324, -177, 64, 405, 852?\nAnswer: 1411","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 6626799 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -185 + 2037\/11. Let j = -14 + 20. Suppose -j*a - 8 = -4*a. Put a, q, -5 in increasing order.\nAnswer: -5, a, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 6*u - 15. Let r be z(4). Suppose -r*g = -6*g - 2808. What is the units digit of g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 14\/(-4)*-1*2940\/(-18865)\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -116 + 29 = -4*d + 5*l, 5*d - 87 = -l. Let v(c) = 6*c - 4. Let r be v(4). Suppose r = 3*w - 22. What is the lowest common multiple of w and d?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -8351 + 33409\/4. Let o(a) be the second derivative of -l*a**2 - 1\/3*a**3 + 0 + 1\/24*a**4 - 17*a. Factor o(n).\nAnswer: (n - 5)*(n + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 378*y**5 + 2586*y**4 - 1348*y**3\/3 - 200*y**2 + 112*y\/3 = 0. What is y?\nAnswer: -7, -2\/7, 0, 2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00727087 to 5 decimal places.\nAnswer: -0.00727","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ufs when three letters picked without replacement from {t: 1, f: 3, u: 2, i: 3, s: 10}?\nAnswer: 10\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -4*a**2. Let x(n) = 9*n**2 - 2565. Calculate x(o(h)).\nAnswer: 144*h**4 - 2565","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 230049220 and 5?\nAnswer: 230049220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15 - 4 + 2*p**3 + 49.\nAnswer: 2*p**3 + 30","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z = 20, -h + 9*z = 4*z - 25. Let k be -2 + h - (-8 - -1). Let j(o) be the third derivative of -o**4\/24 - o**3 + 2216*o**2 + 2. Calculate j(k).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 1, w: 1, d: 1, r: 1, l: 1, t: 2}. What is prob of sequence rd?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -y**3 + 18*y + 5. Let q be x(0). Suppose q*b - 5*i = -1355, 3*b - i + 684 = -121. Is b != -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -11*r + r + 22*r - 14*r. Let c(h) = 2*h - 382. Determine c(m(z)).\nAnswer: -4*z - 382","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 5, o: 2, l: 4, m: 2, e: 2, f: 4}. What is prob of sequence ef?\nAnswer: 4\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (16 + -8 - 13) + (3 - -8).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 260 minutes before 10:17 PM?\nAnswer: 5:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 3*n**2 + 810*n + 39145. Calculate q(-63).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:37 PM and 7:47 AM?\nAnswer: 670","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.3 (b) 89 (c) -0.1 (d) 30\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.1 and -0.055420136573.\nAnswer: -0.155420136573","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, 17.4, 1.628, -2\/11.\nAnswer: -2\/11, 0.1, 1.628, 17.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = f**2 + 3*f + 1. Let m be p(-3). Suppose -3*v + 2*v + 11 = 0. What is the tens digit of (m - v)*(-4 + 3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1*-16.77.\nAnswer: 1.677","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 63209173 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1 - 0)*-1*2. Suppose -23 = -g*u + 17. Let o = -168 - -170. Solve -o*y - u = 2*y for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 + -8.8584305718\nAnswer: -8.8584305718","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*v + 2*j + 34, 14*v + 2*j = 3*j - 200 for v.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 811492215 by -3.\nAnswer: -270497405","meta":{"dup_signals":{},"source":"arithmetic__div_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 (-6)\/(-93) + (56*(-28)\/1120 - 23146\/310)?\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -13.49 and -246.\nAnswer: -259.49","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 10, o: 2}. Give prob of sequence iiii.\nAnswer: 14\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (3 + -2 - (0 - -1)) + 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) be the third derivative of i**5\/20 - 3*i**4\/8 - 9*i**3 + 17*i**2. Solve q(c) = 0.\nAnswer: -3, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 201 a factor of 136870146?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 51\/14 and -47\/322133.\nAnswer: 644266","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -8 + 8.945. Let x = m - -0.055. What is the nearest to 0.1 in 4, x, -0.33?\nAnswer: -0.33","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -i**2 - 8*i - 1. Let s be n(-8). Let w = -1 - s. Let x = w + 4. Solve -x*d = d - 2*p + 11, 3*p + 12 = -2*d for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) be the first derivative of 3\/20*d**5 + 0*d + 2 + 0*d**2 + 0*d**3 - 1\/8*d**4 + 5\/24*d**6. Solve b(y) = 0.\nAnswer: -1, 0, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5\/4 in -5, 42, 21, -2, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27990 + 7*a - 11216 - 2*a - a.\nAnswer: 4*a + 16774","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -2*w. Let n = -7 - -10. Let k(j) = 14 + n*j - 14. Calculate k(d(l)).\nAnswer: -6*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 55200*t**3 + 2*t**2 + 2*t. Let w be g(-1). What is w rounded to the nearest 1000?\nAnswer: -55000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = q - 4. Let s = -12 - -16. Suppose 2*c = -5*o + 17, 5*c + 2*o - s*o = 57. Let h(p) = 2*p - 11. What is c*l(n) - 4*h(n)?\nAnswer: 3*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*u + 25 = -16*u for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2)\/(-5) + (-89488)\/(-380). Let i = -236 + l. What is the biggest value in 4, -3, i?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 329*f. Let i(c) = 7*c**2 + 1444*c. Give i(k(j)).\nAnswer: 757687*j**2 + 475076*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*g + 5*k + 17, -5*k - 2 - 19 = 2*g. Let i = -1\/3 + g. What is the third smallest value in 0, i, 0.3?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 42555801?\nAnswer: 3, 19, 521, 1433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 52 - 47. Suppose i*d - 3*d = 20. Solve 0 = -3*s - d*n + 5*n + 24, 0 = -4*s + 3*n + 3 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oooo when four letters picked without replacement from {o: 4, j: 2}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -2\/15 (b) -5 (c) -0.1 (d) -19\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -9655 + 12526.8. Round t to the nearest ten.\nAnswer: 2870","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 21773439*4\nAnswer: 87093756","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-3 - (0 + -6)) + -4. Let m = u + 0. Let l(w) = -57*w**3 - w**2 - w. Is l(m) a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -b**3 - 5*b**2 + 74*b - 120.\nAnswer: -(b - 5)*(b - 2)*(b + 12)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (-w + 1 - 1 + (0 - 1 + 0)*(w - 2*w + 2*w) + 19*w + 33*w + 37*w)*(-7 - 16 + 5) in the form o*w + p and give o.\nAnswer: -1566","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*f**4 + 2 - 2)*(f + 2*f - 4*f)*(2303 + 2115 - 4757).\nAnswer: 1356*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 1, 21, 59, 121, 213, 341?\n\"Answer: x**3 + 3*x**2 + 4*x - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (-35 - -35 - (-2 - -118)) + (10 - (20 + -25))\nAnswer: -101","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(10\/11)\/(h**(2\/21)\/h) assuming h is positive.\nAnswer: h**(419\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rrrp when four letters picked without replacement from pprpprrpprprr.\nAnswer: 7\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = r**2. Let w(z) = 13 + 2*z - 2 - z. Let a be w(-6). Let y(d) = 7*d - a*d - 3*d. Give y(x(q)).\nAnswer: -q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 15490 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 3*l = 1, 5*b - 6*l + 26 = -4*l. Sort b, 0, -1.\nAnswer: b, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 28\/((5 + -9)\/(5 - 6)). Which is the second smallest value? (a) 2 (b) x (c) 3 (d) -4 (e) 1\/5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*m - 12*m + 13*m as c*m + r and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(66)\/(sqrt(6)*3) + sqrt(176) + 0.\nAnswer: 13*sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3692628 divided by -9.\nAnswer: 410292","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 12263\/42 - 589\/2. What is the common denominator of 38\/49 and p?\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 1 (b) -2\/7 (c) -1\/5 (d) 1\/4 (e) 0.2 (f) 7735\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 39676 is divided by 5663.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 458326, 458312, 458298, 458284?\n\"Answer: -14*p + 458340","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -l**3 + 7*l**2 + l. Let o be m(7). Let y = -4 + o. Suppose -4*u - u**2 + 2*u + y*u**2 = 0. Calculate u.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*z + 258733 + 32691. Let v = z - 1165791\/32. What is the common denominator of 53\/20 and v?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -11*b**2 - 965*b + 386. What is s(-88)?\nAnswer: 122","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 20a (base 16) in base 11?\nAnswer: 435","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*f + 29*f**3 - 7*f**2 + 19 - 64 + 18 + 22 + 8*f**2 as m*f**3 + x + a*f**2 + u*f and give m.\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 15110359 to the power of 1\/7, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 12 and 10?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -13*p**2 - 27*p - 4. Let z(y) = 11*y**2 + 23*y + 2. Let j(m) = -5*f(m) - 6*z(m). Determine j(-3).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) be the third derivative of -w**9\/60480 - w**8\/5040 + w**7\/2520 + w**6\/360 - 7*w**5\/20 + 16*w**2. Let k(t) be the third derivative of h(t). Give k(-5).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 1348?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eeeeee. Give prob of picking 3 e.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -1 + 2\/(40\/114) and 7 - 8 - (-27)\/6?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3013 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1098586 and 66670.\nAnswer: 226","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-44)\/(-20) + 2\/(-10). Let s(y) = y + 2. Let f be s(1). Suppose z*a - 10 = f*w, w + w = a - 4. What is the units digit of a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*r - r - 3*r)*(-r + 4*r - r) + (-2*r - 3 + 3)*(r - 2 + 2).\nAnswer: -6*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) be the third derivative of -d**8\/112 - d**7\/14 - 7*d**6\/40 + d**5\/20 + d**4 + 2*d**3 - 208*d**2 - 2*d. Solve q(f) = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 230536851187 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 3*d + 6. Let y(s) = -7*s - 11. Let a(u) = -5*g(u) - 2*y(u). Let h be a(-7). Let c be h\/2 + (-84)\/(-8). Solve 2 = 3*o - c for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20221319.\nAnswer: 20221319","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -45\/2 and -25\/42.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 129 is divided by 36?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n + 2*a - 31 = 21, -n + 13 = -3*a. Suppose i = 2*i + 5*m + n, -4 = 2*m. Let l(h) = h**2 - 2*h + 3. Calculate the remainder when 34 is divided by l(i).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:42 AM and 8:10 AM?\nAnswer: 388","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4 and 37456.\nAnswer: 37456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 539277156?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35 = r - 6*r. Let h = 11 - r. Let y = 3 + 0. Put h, y, -4 in ascending order.\nAnswer: -4, y, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 2, g: 1, f: 2, k: 1, e: 1}. Give prob of picking 1 g and 2 f.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b**3\/17 - 3342776*b**2\/17 + 1396772266042*b\/17 - 2793531160996\/17 = 0.\nAnswer: 2, 835693","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = a**2 + 8*a + 12. Let r be v(-4). What is the units digit of 3\/(-1) + -5 - r - -9?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) be the second derivative of -4*j**3\/3 + j**2 - 6*j. What are the prime factors of o(-2)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = -5*h + 2*h + 13, 3*h = 4*c + 17. Solve -h*g + 9 = -3 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -2*x**3 - 2*x**2 + 2*x + 1. Let f be u(-2). Let k = 70 - 66. Let h be 1 - (4\/(-4) + 0). Solve k*g + h = f*g for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 149*l - 4146 + 14074 = -435*l for l.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/(-4)*0)\/(-1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 22 - 21.5. Let r be 2\/(-9) + (-4)\/(-18). Suppose r*a = -4*a. What is the closest to a in -0.2, q, -2\/3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5 + -12. Let p = 13 + r. What is the third derivative of -16*z**2 + z - z + 3*z**2 - 5*z**p wrt z?\nAnswer: -600*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1682 not equal to 1681?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -19*p - 6. Let w(t) = 1. What is g(k) + 6*w(k)?\nAnswer: -19*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 834 is divided by 417.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 2*r - 6 = 0, -5*i + 10 = -3*r - 7. Let d(w) = -w**2 + 5*w - 6. Let q be d(i). Is q < -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**16\/v*v)**0*(v**(2\/17))**38 assuming v is positive.\nAnswer: v**(76\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r = j - 16, -14*r = 4*j - 10*r + 36 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -4 - -119?\nAnswer: 115","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: ((-374)\/55)\/17*(-9)\/(108\/(-645))\nAnswer: -43\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -4*b + 10. Solve 3 = b*n - 1 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -19429.384 rounded to the nearest 10?\nAnswer: -19430","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 1562 divide 14398001?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 307*i**2*u**2 + 2662*i**2*u - 3*i**2 - 75796*i*u**2 - i*u - 3*i + 2 wrt i?\nAnswer: 614*u**2 + 5324*u - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 42 = -2*z - z, 4*s - 28 = 2*z. Let i be z\/3*(-24)\/16. What is the greatest common divisor of i and 35?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b + 65 = -58*b - 5*k - 38, -5*k = 3*b + 1 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 46*m + 12*m - 2 - 24*m. Let g(t) = -2*t**2. Calculate g(s(u)).\nAnswer: -2312*u**2 + 272*u - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u + 5*t + 34 = -0*u + 4 - 12, 4*u = 6*t + 24 + 20 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -8103218, -32412733, -72928584, -129650765, -202579270, -291714093, -397055228?\n\"Answer: u**3 - 8103174*u**2 - 45","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 1 (b) -1020 (c) 2\/9 (d) -0.02 (e) -2\/11\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*l**3 + 5*l**3 + 14*l**3)*(-19*l - 19*l + 18*l) + 2*l**4 - 4*l**4 + l**4 in the form m*l + k*l**4 + b + i*l**2 + s*l**3 and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*a - 5*a - 45. Let z = a - -18. Suppose 8 - 137 = -z*c. What are the prime factors of c?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 50 divide (6 - 7)\/((-7)\/7350)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -16*c*v*z**3 - 14*c*v*z - 23*c*z**3 + 90*v + 9*z**3 wrt c.\nAnswer: -16*v*z**3 - 14*v*z - 23*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 344*h**3 + 2*h**3 + 55*h**3.\nAnswer: 401*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*g = -4*g + 90. What is the remainder when 89 is divided by g\/36*(-2 - 44)\/1?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 194*d**3*h**3 + 2*d**3*h + 298*d*h - 2*d - 2*h**3 wrt d?\nAnswer: 1164*d*h**3 + 12*d*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) be the first derivative of 1789*n**6\/6 + 325*n**2 - 763. Find the second derivative of z(d) wrt d.\nAnswer: 35780*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4.2 + -0.2. Suppose 2*y - 28 = 5*r, 3*r = -y + 6*y - 32. Let d = -0.1 - -0.2. What is the closest to d in p, r, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36*i - 249 - 3 = 0 for i.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 97\/132 and 35\/5724171?\nAnswer: 251863524","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 22264?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1.9526 + 0.9526. What is the nearest to 0.2 in b, 96, 2?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**7*l**(2\/3))\/(l**(2\/7)*(l\/(l*l**(-3)))\/l) assuming l is positive.\nAnswer: l**(113\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 6\/(-5)*(-160)\/24. Let h(y) = 7*y - 9. Let x(u) = 3*u - 5. Let o(d) = -2*h(d) + 5*x(d). What is o(r)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = x**2 - 4*x. Let u be k(5). Suppose -13 = -4*l + 3*a, -2*l - 3*a = 2*a - 13. Suppose -2*f - 334 = -l*h, 4*f = -u*h - 0*f + 437. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 13485 and 1479?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 2*w**2 + w**2 - 3 - 5*w - w**2 - 5*w**2. Let d be q(-3). Let m = 54 + d. Does 6 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -i**2\/8 - 16671*i\/8 + 8342123\/4.\nAnswer: -(i - 947)*(i + 17618)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22519*c + 3608992 = 8593*c for c.\nAnswer: 116","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*v + 12 = -2*k, v + 483 = 2*k + 470 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 27 - (-34 - -25 - (15 - 29))?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 495647641.\nAnswer: 495647641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (2 - 4)\/((-4)\/34). Find the first derivative of m*c**2 + 6 + 3*c - 3*c - 12*c**2 wrt c.\nAnswer: 10*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1203231 (base 5) in base 6?\nAnswer: 251152","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 86767616\/(-5218304) + 6\/(-49)\nAnswer: -67\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Add -150934336 and 0.4.\nAnswer: -150934335.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**8*w**5*w)\/(w**8\/w**(-2\/7)))**(-12\/7) assuming w is positive.\nAnswer: w**(-480\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (o - o - o)*(1 - 1 + 2*o) + 2 - 42 + 40 + 380*o**2 to the form s*o + v*o**2 + p and give v.\nAnswer: 378","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -105*p + 41*p + 576. Put -5, -26, p in ascending order.\nAnswer: -26, -5, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 181 = m, -5*h - 490 = 4*m + 284. Let t = -8271\/20 - -413. Calculate the common denominator of t and m\/(-28) + 9\/36.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -277, 2, 1, -1, -9 in ascending order.\nAnswer: -277, -9, -1, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -108 + 103.1. Let z = x - 0.1. Let j = -354.8 - -355. Which is the nearest to j? (a) 6 (b) 0.5 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 8752, 17469, 26170, 34849, 43500, 52117, 60694?\nAnswer: 69225","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -0.249 times 1041\nAnswer: -259.209","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 327 - 165 - 21*z**2 - 162 + 31*z**2. Let t(y) = 24*y - 2. What is s(t(p))?\nAnswer: 5760*p**2 - 960*p + 40","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 3*b + 2*b = 6, -k - 5*b + 2 = 0. Suppose -2*g + 164 = 2*n, -3*n + 57 = -k*n - 4*g. What are the prime factors of n?\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 11\/5? (a) 2 (b) 0.3 (c) -0.1 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 866804.\nAnswer: 2, 139, 1559","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -48 + 98*s - 61*s - 54*s. Let b be a(-3). Suppose 2*h + 3*h = 5. Solve 4*c - m = -c + 27, -c - b*m = h for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 595 minutes after 5:08 PM?\nAnswer: 3:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -81275*k + 81278*k - 9 = 0 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f - 2*i - 159 = i, -5*f - 141 = -3*i. Let p = f + 32. Solve 3*v + 4 = -p for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0010776 rounded to five decimal places?\nAnswer: 0.00108","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1 (b) 116\/7 (c) 0.2 (d) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 15 or 191\/12?\nAnswer: 15","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.4 (b) -0.2 (c) -2\/9 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -n**2 - 64*n. Let i(g) = -3*g**2. Determine h(i(r)).\nAnswer: -9*r**4 + 192*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -19 + 34. Suppose -3*s - s = c - 204, 0 = -4*s - 3*c + 212. Let y be (14 + -2)\/(h\/s). What is the greatest common factor of y and 16?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 8, b: 7, d: 3}. What is prob of sequence pddb?\nAnswer: 7\/1530","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve x + 1595 - 165 - 311 = -16*m + 527, -4*m + 4*x - 148 = 0 for m.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -6*(-63)\/(-108)*12\/7\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = u + 2. Let x = -12 - -14. Suppose 0 = -x*n - 3*l + 4, -2*n = 2*n - 2*l + 24. Calculate j(n).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4, 12, 38, 94, 192?\nAnswer: 344","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -28787207882056 and 15?\nAnswer: 28787207882071","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1)\/(-3) - 22\/(-6). Suppose 3*w + 14 = -1, -25 = -5*p + 3*w. Let m = d + p. What is the units digit of m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1128911 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -41 + 2*w**2 - 34 + 75.\nAnswer: 2*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = g - 1. Let t(y) = 9. Let a(q) = q**3 - 20*q**2 + q - 23. Let j be a(20). Let n(z) = j*l(z) - t(z). Determine n(-4).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1413\/2, 5, -5317, 0.3, -0.5 in increasing order.\nAnswer: -5317, -1413\/2, -0.5, 0.3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-4 - 21)\/((-1)\/2). Let g(m) = m**2 - 50*m - 23. Let k be g(i). Put k, 4, -4 in ascending order.\nAnswer: k, -4, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + sqrt(39)\/sqrt(3))**2 + (sqrt(1872) - (1 + sqrt(1872))).\nAnswer: 10*sqrt(13) + 37","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 104466 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7950 to the nearest integer?\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 302.9 + -146. What is a rounded to the nearest ten?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.8 + 0.1. Let g = -0.8986 + m. Round g to 4 decimal places.\nAnswer: 0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37*y = 5*p - 182 + 759, 3*p - 102 = -5*y - 13 for y.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 260 minutes after 11:18 PM?\nAnswer: 3:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h when two letters picked without replacement from httzhhhhg.\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 5 = -1. Suppose -77*g = -73*g - 48. Solve g = p*t + 6 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-h**3 + h**3 + h**2 - h**3)*(5*h - 7 + 7)*(-3*h + 4*h - 5*h).\nAnswer: 20*h**5 - 20*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.06, 4, -21\/62, 1, -0.14?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = 14*x - 28. Suppose -x = -f + a, -2*f + 31 = 5*a - 2*a. Let h(l) = -l**3 + 8*l**2 + 9. Is h(f) a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*r - 143 = -21*r. Solve -5*s + 13 = -2*m, 0 = 4*m - 2*s + 13 - r for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(-1))**(-2\/15))**(1\/6)*(i\/(i**(-1\/7)*i)*i**3\/i)**(-2\/33) assuming i is positive.\nAnswer: i**(-373\/3465)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 3 + 44\/(-4) + 3. Let v(i) = -3*i**3 - 4*i**2 - 2*i - 1. Let c(j) = -2 + 4*j**3 - 4*j**3 - 7*j**3 - 9*j**2 - 5*j. Determine y*v(p) + 2*c(p).\nAnswer: p**3 + 2*p**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*c**3 + 326*c - 326*c.\nAnswer: 5*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -244, -484, -724, -964?\nAnswer: -1204","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 3, 6, 1, -5.\nAnswer: -5, -2, 1, 3, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - 5*t + 17 = 6, 0 = -4*u + 3*t + 61. Let d be (-7)\/(2 + 14\/(-6)). Suppose u = c - d. Does 17 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -4375445, 2, -46?\nAnswer: -46","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) be the second derivative of o - 1\/4*o**2 - 1\/40*o**6 + 5\/48*o**4 + 1\/24*o**3 + 0 - 1\/80*o**5. Suppose d(g) = 0. What is g?\nAnswer: -1, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (330\/(-42))\/((-6)\/42*10)*22\nAnswer: 121","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (9\/(-36) - 6\/(-8))*-2. Let k(r) = -r**2 + r. Let d(i) = 6*i**2 - 6*i - 1. What is h*d(y) - 4*k(y)?\nAnswer: -2*y**2 + 2*y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 260 = -5*p + 325 for p.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -59\/4 and 61\/154?\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.4 and 94529?\nAnswer: -37811.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j = 3*k - 7937, 30*k - 3*j = 28*k + 5292. What is the tens digit of k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(171) - (-2*sqrt(171) - sqrt(171))*-1) + (sqrt(171) + 2*sqrt(171) - sqrt(171) - sqrt(171))*-1)\/(-1*sqrt(9)*1 + sqrt(9) + (sqrt(90)*-2)\/sqrt(10)).\nAnswer: 3*sqrt(19)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (4\/(-5))\/((-3)\/(-15)). Suppose -4*f - 2*i = -i + 105, -4*f - 93 = 5*i. Let h = f + 27. Sort 1, h, w in descending order.\nAnswer: 1, h, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1\/7705 - -986247\/53935. Let v = -18 + g. Which is the biggest value? (a) v (b) 0 (c) -4\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 1, x: 9, b: 1, m: 3, o: 3, s: 2}. What is prob of picking 1 s and 1 b?\nAnswer: 2\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 31 and 589?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-16)\/6)\/((-34)\/51). Suppose -2*s + 3*w = -3*s + 216, 779 = u*s - 5*w. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m*m**(-2)\/m)**27\/(m**(-1\/2))**(3\/13) assuming m is positive.\nAnswer: m**(-699\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1389?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yyynygcg. What is prob of sequence gync?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 247 = 5*p + 2*d, 83 = 3*p + 2*d - 62. Calculate the greatest common factor of p and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16 - 35862*y + 35809*y - 13 + 26.\nAnswer: -53*y - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/5? (a) -2\/17 (b) -1\/5 (c) 8.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -34074601 to the nearest 1000000.\nAnswer: -34000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) be the first derivative of -c**4\/10 - 2*c**3\/15 + c**2 - 6*c\/5 + 9. Determine r, given that m(r) = 0.\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + sqrt(108)*-2 + (sqrt(108)*3 + sqrt(108) + sqrt(108))*5)**2.\nAnswer: -828*sqrt(3) + 57141","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2 + -3.534460278.\nAnswer: -1.534460278","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 531660 to the power of 1\/5, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 8369 to the power of 1\/3, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x when two letters picked without replacement from pnpjnjjxxppnpujjbjju.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 8*u**2 - 85*u - 619. Determine f(-5).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) be the first derivative of -8*a**3 + 0*a - 5 - 15\/4*a**4 - 6*a**2 - 3\/5*a**5. What is l in o(l) = 0?\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -20260 divided by 15?\nAnswer: -4052\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3 - -2. Let y(s) = -432*s - 426. Let w be y(-1). Suppose -l*j + w*j = 1. Solve -4 = x + j for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*f**4 + 7*f**3 - 487865*f**2 - f + 258640270?\nAnswer: 24*f**2 + 42*f - 975730","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 3 - c**3 - 3 + (3*c - 2*c - 3*c)*(-3*c**2 - 3*c**2 + 5*c**2) + 49*c + 2 - 47*c**3 + 23*c**3 + 25*c**3 in the form j*c**2 + v + z*c + k*c**3 and give z.\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n + 10 = 4*h, 3*n + 4*h = 35 - 41 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 2398?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1169 to the power of 1\/8, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-137 + 137 - 24*i**2)*(4*i - 2*i - 3*i) + (-4 + 1 + 0)*(3*i - 7*i + 0*i)*(1 - i**2 - 1).\nAnswer: 12*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:50 AM and 8:12 AM?\nAnswer: 202","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4531 + -4531.08. Which is the third biggest value? (a) -29 (b) -4 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-5*1*-2)\/(37\/74) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a microgram in nanograms?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -23331030 (base 4) to base 8.\nAnswer: -137514","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 72\/5 of a kilometer?\nAnswer: 14400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 33 a factor of 1126457?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 10*f - 2*f + 32 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5102?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -b + 3. Let k be c(0). Suppose 47 = -3*l + i, -l - 3*i - 39 = 2*l. Let y be l\/(-6)*12\/15. Which is smaller: k or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 65190283.\nAnswer: 71, 918173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 2, a: 1, d: 3, n: 1, b: 1, m: 3}. What is prob of sequence am?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(24) - sqrt(72)\/sqrt(3)) - (sqrt(2904)*3 - sqrt(2904)))\/((sqrt(120) + 3*sqrt(120) + sqrt(120))\/sqrt(10) - (sqrt(108) + -2*sqrt(108))).\nAnswer: -11*sqrt(2)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(264)*1)\/sqrt(6) - (-5 + (sqrt(88)\/sqrt(2))**2)) + sqrt(2156)*-2*-6.\nAnswer: -39 + 170*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27878*g**3 + 14011*g**3 + 14449*g**3.\nAnswer: 582*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 16*c - 166. Calculate y(9).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 5, -7, -3\/182, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l = -4*x - 8, -4*x + 3*l = 2*l - 8 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.52730074 to three dps.\nAnswer: 1.527","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) be the second derivative of 1\/3*w**3 - 1\/15*w**6 + 0 + 0*w**2 - 1\/2*w**4 + 3\/10*w**5 + 2*w. Factor q(m).\nAnswer: -2*m*(m - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*z - 1466 - 1014. Suppose z = 4*y + 76. Is y a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.07 - -7.07. Let z = -12 + o. Let x = 1 + z. Are -0.2 and x non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -18 smaller than -48?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 137777 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -23 + 14. Let b(p) be the third derivative of -p**6\/120 - 2*p**5\/15 + 13*p**4\/24 + 13*p**3\/3 + 4*p**2. Let y be b(-9). Which is greater: y or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -7 - -1. Let i = -2 + q. Let t = i - -11. List the prime factors of t.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/(110\/(-11)))\/(2\/(-15)).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 12448067 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 9117, 9120, 9125, 9132, 9141?\nAnswer: 9152","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 219726*n**4 + 595062*n + 1.\nAnswer: 2636712*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -y**2 - 3*y + 95. Let z be x(-10). What is the highest common divisor of z and 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 3 o when four letters picked without replacement from ooaeaaaaeeaaoaaeeana.\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -55\/26364 and -25\/8788?\nAnswer: 26364","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1123 + -1404?\nAnswer: -3032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out 869261 - -106416.\nAnswer: 975677","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9654 is divided by 142?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m**5 - 5\/4*m**4 + 1\/2*m**2 + 0 + 7\/4*m**3 + 0*m = 0.\nAnswer: -2, -1\/4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = 3*y + 2*u, 0*y - 5*y - u - 8 = 0. Suppose -2*q = -4*i - 90, -2*i - 92 = 2*i - 4*q. Let p = -24 - i. Which is smaller: y or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 9.2 from -11106.\nAnswer: -11115.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4 and 266829?\nAnswer: 1067316","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 57353 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -9.9 and -8.11?\nAnswer: 80.289","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 476966791 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t**3\/3 + 66*t**2 + 2903*t + 8512\/3 = 0. Calculate t.\nAnswer: -133, -64, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) be the third derivative of 299*i**4\/24 - 370*i**3\/3 + 180*i**2. Differentiate u(r) wrt r.\nAnswer: 299","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 66\/5 - 589\/45. Let w(s) = -53*s - 3815. Let l be w(-72). What is the biggest value in 4\/5, -0.4, l, m?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 8*d - 37. Let z be p(4). Is -4*(-1)\/z + (-13960)\/(-200) a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1955*y - 4591 - 5193 = a, -249 = 4*y + 2*a - 211 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16.09*0.4.\nAnswer: -6.436","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((sqrt(132)\/sqrt(4)*4)\/(sqrt(3) + (sqrt(3) - 3*sqrt(6)\/sqrt(2))) - (sqrt(44) - sqrt(176)*5)\/(-2*sqrt(400))).\nAnswer: 89*sqrt(11)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 156, 314, 470, 624, 776, 926, 1074?\n\"Answer: -l**2 + 161*l - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 7, 3, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 0.4 (b) 6 (c) -12 (d) 1\/11 (e) -1\/15\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -5, -1, -3 in descending order.\nAnswer: 0, -1, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) be the first derivative of 0*c**3 + 0*c**2 - 9\/2*c**4 + 20*c - 20. Differentiate a(y) wrt y.\nAnswer: -54*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -24535\/2 + 12006. Let h = n + 263. Which is the fourth smallest value? (a) 3 (b) 1 (c) -2\/5 (d) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(1\/4))**5)**(2\/15)*((x*x**(6\/5))\/x**(1\/5))**(1\/2) assuming x is positive.\nAnswer: x**(7\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 2*b**3 + 20*b**2 - 27*b - 30. Give g(-11).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1 - -4)*(-7 + 9). Let c be 2\/8 - 7\/(-4). Suppose c*s = p - 2. Solve 5*v = s*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 975 + -477. Let r = 513 - t. Put r, 5, 2 in ascending order.\nAnswer: 2, 5, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*sqrt(34)\/((sqrt(98) - (sqrt(98) - 1*sqrt(98)) - sqrt(98)) + sqrt(98)) + (sqrt(85)\/sqrt(125) - (sqrt(425) - (-2 + sqrt(425)))**2).\nAnswer: -4 + 27*sqrt(17)\/35","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) be the first derivative of x**2\/2 - 10*x + 18. Let a be c(13). Factor -2*l**2 - 9*l**3 + 20*l**3 - 9*l**a.\nAnswer: 2*l**2*(l - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 146685, 146685, 146683, 146679, 146673, 146665, 146655?\nAnswer: 146643","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + 5 = -0*t - f, 2*t = 2*f + 10. Suppose -22*y + 19*y = t. Solve -3*q - 3 + 6 = y for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-14 - (-520)\/39)*606\/(-4) is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 4\/20 - 38\/(-10). Suppose 3*o + 2*u = o + 52, -c*u - 82 = -2*o. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) be the third derivative of -j**6\/240 - 71*j**5\/120 - 271*j**4\/48 - 67*j**3\/4 + 4*j**2 - 36. Factor u(w).\nAnswer: -(w + 1)*(w + 3)*(w + 67)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(8\/3)*q*(q*(q\/(q**13\/q)*q)\/q)\/q*q assuming q is positive.\nAnswer: q**(-19\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p - 126 = -5*t + 4*t, p - 578 = -5*t. What is the greatest common divisor of 87 and t?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 369*g**5*j - 37*g**3*j - 1310*g*j + 10*j wrt g?\nAnswer: 7380*g**3*j - 222*g*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -22*g - 661*g**2 + 2*g + 663*g**2 as a*g**2 + v + b*g and give a.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 5*v**2 - 4*v - 2. Let p(h) = -17*h - 32. Let q be p(-2). Let l(d) = 4*d**2 - 3*d - 2. Give q*t(b) - 3*l(b).\nAnswer: -2*b**2 + b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2328 = -16*i - 16280. Let a = i - -2555. Does 58 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 11024, 11047, 11098, 11189, 11332, 11539?\nAnswer: 11822","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b, 1 f, and 1 d when three letters picked without replacement from uddcrfcbbbd?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 19 and 56297.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -36, -70, -2, 240, 728, 1534, 2730, 4388?\n\"Answer: 12*l**3 - 21*l**2 - 55*l + 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Are 4583852 and 4583886 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(19) + -2 + (sqrt(171))**2 + 4)*5.\nAnswer: 5*sqrt(19) + 865","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2442?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 402, 397, 388, 375, 358?\nAnswer: 337","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 4*i + 78 = 5*m, -3*m - 4*i + 40 = 0. Suppose 5*n = -4*r + 28, r - 4*n = -20 + 6. Find l such that 0*l**r - m*l - 2 - 4 - 4*l**2 - 10 = 0.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*w**3 - 27372*w**2 + 274020*w - 685300.\nAnswer: -4*(w - 5)**2*(w + 6853)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 49216, 49112, 48942, 48712, 48428?\n\"Answer: q**3 - 39*q**2 + 6*q + 49248","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6043777.\nAnswer: 47, 128591","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-18 - -2) + -11 + (-22 - (-23 + -24)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.14378 rounded to two dps?\nAnswer: 0.14","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) be the first derivative of g**6\/720 + g**5\/360 - g**4\/72 + 7*g**2\/2 - 6. Let c(d) be the second derivative of i(d). Factor c(r).\nAnswer: r*(r - 1)*(r + 2)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 673 + 80. What is the hundreds digit of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 8*s - 561 = 0. Suppose 9*m - s = 452. What are the prime factors of m?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 4\/(-14) - (-299)\/91. Suppose 0 = -3*v + s*w, -6*w = -4*v - w - 2. Put 2\/5, 3\/2, v, -0.4 in decreasing order.\nAnswer: v, 3\/2, 2\/5, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1528853828.\nAnswer: 2, 382213457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in six fifths of a millennium?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = -514 - 83. Let b = -226 + a. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 91 minutes before 5:15 AM?\nAnswer: 3:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -746, -1492, -2234, -2972, -3706, -4436?\n\"Answer: 2*s**2 - 752*s + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3274798 by -718.\nAnswer: 4561","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = b**3 + 32*b**2 + 67*b + 1853. Let a be m(-28). What is the highest common divisor of 44 and a?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -20167505 - -10?\nAnswer: -20167475","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -20542*g**4 - 1157*g**3 - 42585306*g**2 - 1.\nAnswer: -493008*g - 6942","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*(sqrt(364)*-1 + sqrt(364) - sqrt(364)))\/(sqrt(7) + -2*sqrt(700)))\/(sqrt(256)*-1 + sqrt(484)*4 + sqrt(484) + sqrt(484) + sqrt(484)).\nAnswer: 4*sqrt(13)\/1311","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ghhnhhggtntc. What is prob of sequence nggn?\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 43043?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 43?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4955.625ns to hours.\nAnswer: 0.0000000013765625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -20 - 222?\nAnswer: -1012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -37*q + 75*q - 1010*q**3 - 38*q.\nAnswer: -1010*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 757411 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 61 a factor of 816808?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bt when two letters picked without replacement from tbsbqqbibblqq?\nAnswer: 5\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -114604312 (base 7) to base 15\nAnswer: -966d0a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -588 (b) 0.05 (c) 4 (d) -3 (e) -4\/7 (f) -13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 55\/4 of a gram?\nAnswer: 13750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 4*a - 4. Let z(l) be the third derivative of l**4\/24 - 6*l**2 + 48. Give i(y) - 5*z(y).\nAnswer: -y - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -394893 (base 13) to base 14.\nAnswer: -27d4c4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 8*m**2 + 0*m**4 + 10*m**2 + 4*m**2 + 9*m**4 wrt m?\nAnswer: 216*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/(m*m*m*(m\/(((m\/((m\/(m*m*m**(2\/5)))\/m)*m)\/m*m)\/m*m))\/m*m*m)*m)**(-5\/7)\/(m**1)**16 assuming m is positive.\nAnswer: m**(-17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (7 - 12 - -3) + (0 - -5).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*q**2 + 3*q - 3*q)*(4 - 5 - 1)*(-3 + 4 - 2)*(31 + 33653*q - 31 - 34670*q) as g + i*q**3 + m*q**2 + b*q and give i.\nAnswer: 6102","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8\/6*2183\/11328*36.\nAnswer: 37\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -2, -291 in ascending order.\nAnswer: -291, -2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-152)\/57)\/(8\/12)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 82 - 51. Suppose -5*k + 11 = q. Is k\/(-1)*86\/8 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*j + 7710 + 31098. Suppose -5*s = -19*s + j. List the prime factors of s.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 > -49?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 63*p**3 - 138*p**3 + 74*p**3.\nAnswer: -p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1 + 20102012100111?\nAnswer: 20102012100112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -16 - -14. Let z be ((-1)\/i)\/(4\/(-28)). Is -5 at least as big as z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -d**2 + d. Let y(i) = -2*i**2 + 2*i - 1. Let r(t) = 5*m(t) - 3*y(t). Give r(4).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 2, b: 4, r: 1, z: 1}. What is prob of sequence bbbr?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 1 s when two letters picked without replacement from {p: 3, s: 1, g: 5, f: 6, i: 2}?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o\/((o\/((o\/(o\/(o*o**(10\/7))*o))\/o))\/o))\/o)\/(o\/(o*o**(-6))))\/(o**(1\/18))**48 assuming o is positive.\nAnswer: o**(-173\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d - 2*j + 54 = -j, 0 = -5*d + 5*j + 60. Let q = -6 + d. Suppose 3*m = 10 + 14. Calculate the remainder when m is divided by q.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1102851968 a multiple of 64?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*o**2 - 5*o**2 - 12*o**2 as a*o + j*o**2 + t and give j.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 54652973?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3) - (sqrt(3) - (4 + sqrt(27))) - sqrt(3) - sqrt(9)\/sqrt(3)*5)**2 - (0 + sqrt(432) + 1)**2.\nAnswer: -390 - 48*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 905 - 901. Solve k*m + 0*m + 4 = 0 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r - 2 = -r. Let w be ((-6)\/(-5))\/(2\/10). Solve -r*x + w = -z, 2*z - 5*z + 3*x - 9 = 0 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -67*j**3 + 8956*j**2 + 138*j**3 + 8963*j**2 - 17919*j**2 + 88*j**3.\nAnswer: 159*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1658399\/159204 - 2\/13267. Calculate the common denominator of -21\/50 and h.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*((sqrt(264) + sqrt(264)*-3)\/sqrt(8))\/sqrt(3) - -6*1*sqrt(275)*-5) + -2.\nAnswer: -160*sqrt(11) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -19*p**2. Let u = -11266 + 11268. Let y(m) be the second derivative of 24*m + 1\/4*m**4 + 0*m**3 + 0*m**u + 0. Determine n(y(c)).\nAnswer: -171*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -299*t - 1140*t**3 + 491*t**3 + 350*t**3 + 458*t**3 wrt t.\nAnswer: 954*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 6*b**2 + 4*b - 2. Let x be j(-1). Solve 3*a + 1 = 4*o, 2*a + 2*o = -x*a - 10 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -15, 3, 4, 0, 1, 14, -5 in ascending order.\nAnswer: -15, -5, 0, 1, 3, 4, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 16*w**2 + 8*w + 9. Let o be n(-4). Suppose 3*c - 125 = -y, 3*y + o - 34 = 5*c. What is the tens digit of c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y - 4*u = 0, -u - 4*u = 0. What is the second derivative of 0*n**2 + y*n**2 + 19*n - 14*n - 6*n**4 wrt n?\nAnswer: -72*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 180?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -777386, -1554770, -2332154?\nAnswer: -3109538","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t and 1 p when three letters picked without replacement from pptt.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5398980.\nAnswer: 2, 3, 5, 89983","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 13) to base 14\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3847603219 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -95\/2290752 and -65\/228.\nAnswer: 43524288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of f**3*h*n**2 + 27*f**3*h*n + 2*f*h*n**2 - 85*f*h*n - f*n - 15*n**2 wrt f.\nAnswer: 6*f*h*n**2 + 162*f*h*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5514 + -5516. Sort 40, k, 0.2, -7, -1.\nAnswer: -7, k, -1, 0.2, 40","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5 + 5. Suppose h*p + 5 = p. Suppose f = -4*x + 25, -p*f - 2*x + 30 = -x. Solve -3*d - f*i = -30, 2*i - 6*i = -12 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 4*c**3 - 2*c**2 - c + 11. Let x(g) = 9*g**3 - 5*g**2 - 3*g + 23. Give -5*b(v) + 2*x(v).\nAnswer: -2*v**3 - v - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -953*(24\/2)\/(-4). Is 18 a factor of -4*(-1)\/24 + w\/18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-6*5\/660)\/(1\/(-2)). Solve 0*f - n*f**2 + 1\/11 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-12)\/(-12) + -2 + 1. Suppose l*p - 4*z + 967 = -p, -5*p = -2*z + 4817. Calculate the common denominator of 79\/4 and 22\/121 + p\/154.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 5*y**2 - 222*y + 84. Let w be c(44). Let x(o) = o**2 + o + 1. Let r be x(0). Put w, 0, r, 2 in decreasing order.\nAnswer: 2, r, 0, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -35 - -39. Let c(v) = 27*v - 3. What is the hundreds digit of c(y)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -95855, -95876, -95909, -95960, -96035?\n\"Answer: -x**3 - 14*x - 95840","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*x**3 + 3*x**3 + 37*x - 37*x.\nAnswer: 3*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*y**2 + 2*y**3 + 0*y**2 + 6*y**3 - 5*y**3 - 7*y**3 + (y**2 + 0*y**2 + y**2)*(-2*y - 4 + 4) - 3*y**3 + 13*y**3 - 3*y**3.\nAnswer: -y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (3\/(-6))\/(-1) + (-1332)\/(-56). Let i = x + -613\/14. Let k = 120613\/12 + -10040. Calculate the common denominator of i and k.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1322266549 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 406 minutes after 11:24 PM?\nAnswer: 6:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-12)\/10)\/((-4212)\/(-1620)). Which is the third smallest value? (a) 0.5 (b) 4 (c) m (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 462810.6 millennia to centuries.\nAnswer: 4628106","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6*(-4)\/(-12))\/(8\/10)?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 2024 = -7*c. List the prime factors of c.\nAnswer: 11, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3745225 is divided by 228?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fok when three letters picked without replacement from {r: 1, l: 1, f: 10, o: 3, p: 1, k: 3}?\nAnswer: 5\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -190 + 210. Solve 4*h - r = 5*o, -4*o - 2 = -2*h + 14 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.03 times -0.04234\nAnswer: 0.0012702","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-1\/4)*k**(-3)*k)\/(k**3*k\/(k\/(k**(3\/5)*k)*k))*k**(3\/2)*k**(2\/19)*(k\/(k\/(k**(1\/2)*k)))**17 assuming k is positive.\nAnswer: k**(8077\/380)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 5 = q, 0*q + 16 = 2*q + 2*g. Suppose r = 4*s - 14, -s - 5 = 5*r + 2. Solve 4*n + s*w - q = n, -2*n = 3*w - 4 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -4 - 2c14b8a6?\nAnswer: -2c14b8aa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 98 is divided by 26?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 458931 is divided by 518.\nAnswer: 501","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4966 and 6073036?\nAnswer: 382","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1593190603 a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -148*a + 73*a + 76*a + 285 - 277 + 211*a**2 to the form w*a + q + j*a**2 and give j.\nAnswer: 211","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0, 10\/217, -1, -2\/3, 0.2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 762.7389 minutes?\nAnswer: 45764334","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 1 = -13. Let t = l - -5. Let n(x) = x + 1. Let v be n(t). Put -4, v, -2\/9 in decreasing order.\nAnswer: -2\/9, v, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -249 - -248.7. Suppose -14 = -h + 4*i - 9*i, -2 = 5*h + i. Which is the third smallest value? (a) g (b) h (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 70675584?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*r**2 + 1476*r + 2940.\nAnswer: 3*(r + 2)*(r + 490)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 v when four letters picked without replacement from vvdvvvvvvvdvv?\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -205 + -5124?\nAnswer: -5333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 7028 - 7031. Sort 2\/3, 2, 7, 0.09, m in decreasing order.\nAnswer: 7, 2, 2\/3, 0.09, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*q**3 + 1281*q**2 - 1281*q**2 - q**3.\nAnswer: 4*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -5*b**2 - 4*b - 28. Let a(v) = v**2 + v. Let c(x) = -111*x + 1106. Let w be c(10). Determine w*a(s) - o(s).\nAnswer: s**2 + 28","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 30463?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 32 is divided by 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 64\/100177 and -8\/133.\nAnswer: 1903363","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -38231 + 56350. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 50*(-256)\/(-4800)*3*3\/(-54).\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.001058 rounded to 5 dps?\nAnswer: 0.00106","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 73177833.\nAnswer: 3, 101, 241511","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*f**3*z**2 - f**3*z - 1254289*f**3 - 296*f**2*z**2 + 23427*f**2*z wrt f?\nAnswer: 12*z**2 - 6*z - 7525734","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is z in 39624*z**2\/7 - 28293*z - 345\/7 = 0?\nAnswer: -23\/13208, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2.070002115 + -2.07. What is v rounded to 7 dps?\nAnswer: 0.0000021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 154321 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(187)*-1)\/(sqrt(110)\/sqrt(160))*2.\nAnswer: 8*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -27\/86 and 31\/172.\nAnswer: 172","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 358\/5 - 72. What is the second biggest value in -2, -3, 2\/9, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 2*i**2 - 26*i + 10. Let h be x(18). Let t = h + -127. Is t a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 2073, 16610, 56107, 133056, 259949, 449278?\n\"Answer: 2082*g**3 - 12*g**2 - g + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 40*g. Let c(m) = -m. What is c(p(o))?\nAnswer: -40*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 34.63106km in micrometers?\nAnswer: 34631060000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 7*h + 2 + 19, 0*p - 5 = -p - p - h for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 6, y: 2, a: 4}. Give prob of picking 1 t and 3 a.\nAnswer: 8\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -4\/69 and (-15750)\/5427*-1 + -3.\nAnswer: 13869","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2946 = 7*b + 517. List the prime factors of b.\nAnswer: 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (7 - -4) + (25 - -4) + 44 + -26?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*t**3 + 5*t**3 - t**3)*(30*t - 41 + 25*t - 56*t).\nAnswer: -t**4 - 41*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (66\/44)\/((-3)\/8)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, -1223071, -0.4 in descending order.\nAnswer: -0.4, -0.5, -1223071","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -35 - -61. Calculate the remainder when 129\/(-86)*154\/(-3) is divided by a.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 857.1594 years to millennia.\nAnswer: 0.8571594","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((40\/(-6))\/5)\/((-24)\/(-36))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*f + 61*f**2 + 4*f + 862*f**2)*(-3 + 1 + 3).\nAnswer: 923*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2\/19*v**3 - 1800\/19*v - 120\/19*v**2 + 0.\nAnswer: -2*v*(v + 30)**2\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-5)\/(-1) + (-27)\/(-9) + -6. Solve g + 10 = -3*t, -d*t - 18 - 12 = -4*g for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1218 + -1217.991372. Round n to three decimal places.\nAnswer: 0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 885366917 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 15*j**2 - 6*j + 2. Calculate s(2).\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -15 + 8. Let s = -5 - m. Let h = -0.1 + 0.1. Which is the closest to h? (a) s (b) -3 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 842674.\nAnswer: 2, 7, 23, 2617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = -4*b + 29, 51 = -5*i + 2*b + 152. Let f(j) = 12*j**2 + 5*j - 4. Let l be f(-4). Calculate the highest common divisor of i and l.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -3133.218546263 and -9?\nAnswer: 3124.218546263","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 14*i**3 + 4*i**2 - 8*i + 5. Let v be (24\/(-40))\/(2\/(-10)). Is g(v) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + d + 0)*(4 + 2 - 5) + d - 4*d - 4*d + 15*d - 456 + 456.\nAnswer: 9*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1045633 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 869850721 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0\/(-1))\/((-5)\/5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*r + 1398 - 180. Let i be r\/24 - 2\/(-8). Which is the second biggest value? (a) -3 (b) i (c) -6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33739 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + 16 - 40 = b, -5*p + 40 = 5*b. Solve 4*l - p*l = 8 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 16.5 or 389?\nAnswer: 389","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + 2 - (0 + 18) - (8602 + -8580)?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 464637?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1110001000000111100111 (base 2) to base 14.\nAnswer: -6c5835","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*(j\/(j*j\/j**(-3\/4)))\/j*j**(3\/4)*j)\/(j**(-1))**48*(j*(j*j**0)\/j*j*j**5)\/(j**(2\/7)\/j**(-5\/4)) assuming j is positive.\nAnswer: j**(1497\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(1216) + 3 - sqrt(1216))**2 + sqrt(1216)*2*-3.\nAnswer: -192*sqrt(19) + 10953","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 75*n**3 - 37*n**3 + 12 - 8*n**2 - 37*n**3 + 9*n. Let x be a(6). Do x and 1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/z**(2\/3)*z)**(41\/2))**35\/((z**1\/z*z)\/(z\/(z\/(z\/((z\/(z\/z**(-3))*z)\/z)))))**(-43) assuming z is positive.\nAnswer: z**(2483\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -79\/51254152 and -85\/26.\nAnswer: 666303976","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 55 + -14476?\nAnswer: -14421","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5 + -2. Suppose 31 = 3*m + 22. What is the remainder when q is divided by m?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(405) + -1 - (3 + (sqrt(20))**2).\nAnswer: -24 + 9*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 199675718*b**3 - 7*b**2 - 2587106*b - 2 wrt b.\nAnswer: 1198054308","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*d - 1027 = 7*d. Find the first derivative of 3*w + 22 - 18*w - 13*w - d*w wrt w.\nAnswer: -107","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -v**3 + 7*v**2 - 7*v + 12. Let y = 2644 - 2639. Give r(y).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 120 and 628810.\nAnswer: 7545720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 5*c + 30 = 0, 2*x - 4 = c - 21. Let y = -9 - x. Factor 14*h**4 + 8*h**2 - 16*h**2 - 10*h + 10*h**3 + 15 - 11 - 10*h**y.\nAnswer: 2*(h - 1)*(h + 1)**2*(7*h - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -26*i - 442. Give q(-11).\nAnswer: -156","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3\/4? (a) -281 (b) -2\/23 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 537 is divided by 506?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7*q - 63 + 143 - 70 to the form t + w*q and give w.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pdpp. Give prob of sequence pd.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 38 (base 13) to base 7.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 47821?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25 = -3*y - 5*n, 110*y - 105*y + 15 = 3*n for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -133 + 168. Let c(m) = m**2 + 2*m + 4. What is the remainder when i is divided by c(-5)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4.88661 - 0.13099. Round b to 1 decimal place.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (5\/(-60)*-4)\/((12\/(-4))\/(-72))\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 21523*w**3 + 206607 wrt w?\nAnswer: 64569*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -o**2 - 4*o - 6. Give m(-3).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-5)\/2 - 5269\/(-14370) and ((-155)\/(-130))\/(3\/4).\nAnswer: 195","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 72*z - 74*z + 2*w - 22, 0 = -3*z - 3*w + 21 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -618, -1230, -1842?\n\"Answer: -612*p - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that -m**2 - 2399737*m - 7199202 = 0.\nAnswer: -2399734, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 88*n**2. Let p(y) = -9*y + 23 + 24 + 45*y - 45 - 2*y. Calculate p(i(q)).\nAnswer: 2992*q**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 43 divide 2494?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -n**3 + 4*n**2 + n + 8. Let j be w(4). Suppose 4*t - 24 = -j. Let z(g) = 3*g - 4. Calculate the remainder when z(t) is divided by 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -255010 (base 6) to base 10.\nAnswer: -23118","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when -46*(240\/(-208) - 2\/(-13)) is divided by 14.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 923478 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/4 of a litre in millilitres?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12 - 74*w + 25 + 76*w - 13.\nAnswer: 2*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 10*r**4 - 2*r**3 + 92*r**2 - 5839*r - 2.\nAnswer: 120*r**2 - 12*r + 184","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 9.688703 centuries?\nAnswer: 0.9688703","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = g**3 - 11*g**2 - g + 15. Let i be n(11). Suppose 8 = i*f - 4*k, 3 = 4*f - k - 17. Let w be -5*f\/45*-3. Let u(v) = -3*v**2. Give u(w).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = o**3 - 26*o**2 + 2*o - 1. Let c(y) = -2*y**2 + 24*y + 4. Let d be c(11). Let q be w(d). Suppose -3*x + q = 9. Solve 0 = 5*i - x - 1 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 171535?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 24.36849858 to the nearest 10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 285 divide 6710610?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 25510?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m = 2*m - r + 8, -5*m = r - 20. Suppose m*x = -x + 188. Is 15 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4.39999993 + 4.4. What is z rounded to seven decimal places?\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 2*z**3 - z**2 - 99*z + 86. What are the prime factors of f(28)?\nAnswer: 2, 3, 23, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1620\/(-1755))\/((-2)\/13)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 724811 at least 724829?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.3 (b) -5 (c) 2\/13 (d) -0.7 (e) -16\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = s - 7. Let z = s + -29\/2. Determine f so that 3\/2*f - z + 1\/2*f**2 - 3\/2*f**3 = 0.\nAnswer: -1, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 523298?\nAnswer: 2, 19, 47, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*o - 3*o + 5*o)*(-1 + 8 - 3)*(2 - 4 + 5).\nAnswer: -12*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) be the first derivative of -1\/2*k**2 + 0*k + 41. Let b(g) = -5*g. Determine u(b(f)).\nAnswer: 5*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 47796 to the power of 1\/3, to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -26715 + 26665. What is the closest to 19 in 0.5, h, -0.4?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 515?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + 1 + (1 - 1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = r - 7. Let c be d(7). Let a = -852 + 851.7. Sort 289, a, c in decreasing order.\nAnswer: 289, c, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -4, -2, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.4 - 0.1. Let l = 323.706 - 324. Let i = -3.294 - l. Which is the closest to 1? (a) j (b) i (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -22*l - 47. Let p be f(-3). Suppose 37*b = p*b + 18. Let m = -0.7 - 0.3. Sort m, -2, b, -0.1.\nAnswer: -2, m, -0.1, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -3936049\/4 or -984013?\nAnswer: -3936049\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) be the second derivative of t**6\/60 + t**5\/40 - 14*t. Factor f(j).\nAnswer: j**3*(j + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 16\/4 + -3 - 9. List the prime factors of (8\/(-5))\/(o\/340).\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor h**5 - 2*h**4 - 11*h**3 + 40*h**2 - 44*h + 16.\nAnswer: (h - 2)**2*(h - 1)**2*(h + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -328\/9*c + 26896\/9 + 1\/9*c**2.\nAnswer: (c - 164)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40*z**3 + 87665*z**2 - 142320*z - 65700 = 0 for z.\nAnswer: -3\/8, 2, 2190","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2923221 or -2923222?\nAnswer: -2923222","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b (base 14) to base 2\nAnswer: 1011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that 804972*w**2 - 187516*w + 32761\/3 = 0.\nAnswer: 181\/1554","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-24)\/11)\/((-2982)\/2343)?\nAnswer: 12\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (10*4\/16)\/(3\/(-6))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.1 - 0. Let k = 16.4 - 15. Let m = -1.2 + k. Which is greater: m or a?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x + 0 = -2*w + 14, -w = -4*x - 1 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -297 = -23*o - 44. Suppose 0 = -4*v + 43 - o. Calculate the remainder when 47 is divided by v.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(114)\/sqrt(6) - (1 + sqrt(475)) - (sqrt(1900) - (sqrt(1900) + -1 + 0)**2)*-6)*-2.\nAnswer: -356*sqrt(19) + 22814","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = 3*q - 4*l - 2, 0 = -l + 2 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -610 = 5*w - 1990. Let g = -220 + w. What is the least common multiple of 8 and g?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (18\/30 - 29382\/(-5)) + 2 + 0.\nAnswer: 5879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 292 by 25.\nAnswer: 292\/25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5895 + 5906. Solve -3*k - d = -4*v + 6*v, -5*k - 16 = v for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 678 divided by -226?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -131.14 + -1.86. Let l = j + 98. Which is the third smallest value? (a) l (b) 2\/3 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or -187\/743547?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3 + 10 - 1 + 8*j + 14 wrt j.\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -23767681*t**3 - 94092*t**2 + 49*t.\nAnswer: -142606086","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(608)\/sqrt(2)*1 - 1*3*sqrt(19)*1)**2.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -223\/2310 and 32\/2695.\nAnswer: 16170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, 1, 848, 5, 2, -4 in descending order.\nAnswer: 848, 7, 5, 2, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 7295 to the power of 1\/2, to the nearest integer?\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:11 AM and 12:33 PM?\nAnswer: 202","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, -1, -93 in ascending order.\nAnswer: -93, -8, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 1\/((-4)\/(-14)*(-43134)\/(-312))*3\/(-3)\nAnswer: -2\/79","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -n**2 - 72*n - 921. Determine p(-56).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i + 4*d = 14, -11 = -40*i + 41*i - 3*d for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1 + 2. Let c(d) = -2*d**5 + 2*d**4 - 3*d. Let y(w) = -3*w**5 + 3*w**4 - 4*w. Let t(p) = j*y(p) - 4*c(p). Factor t(r).\nAnswer: -r**4*(r - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 1533*f - 29129. What is h(19)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-13)\/(715\/10) - (-1560)\/110)\/(-1)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1362662 rounded to 3 dps?\nAnswer: 0.136","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -2 - -4 - (-32)\/(-14). Let u be 6\/3 + (4 - 8). What is the closest to x in -1, u, 3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -65 + 36 + (42 - 79).\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2*(-1 - 3\/2). Let k = u + 7. Sort -4, -1, k.\nAnswer: -4, -1, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -k**3 - 2*k - 3. Let m(s) = -195*s - 590. Let y be m(-3). Let i(l) = -2*l**3 - 5*l - 5. Determine y*j(t) + 3*i(t).\nAnswer: -t**3 - 5*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -133\/4, -0.4, 2, 3, -20, -4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 54 is divided by 10.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -24, 0, 0.5, 4?\nAnswer: -24","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ssrro. What is prob of sequence rr?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 103963.\nAnswer: 103963","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2\/11 (b) -31 (c) 17.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6366, 6390, 6426, 6468, 6510, 6546, 6570?\nAnswer: 6576","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k*k**16*k*k*k**(-2\/27)*k*k assuming k is positive.\nAnswer: k**(565\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -56.259 + 56.2628187. What is q rounded to 5 dps?\nAnswer: 0.00382","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 28 and 12292?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 148 is divided by 25.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-32*z**2 - 3*z + 3*z)*(-1 + 7*z - 5*z - 3)*(3*z - 2 - 3*z - 2*z).\nAnswer: 128*z**4 - 128*z**3 - 256*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 12 = -5*u. Suppose 0 = l - 3*r - 28, u*r = -11 + 2. What are the prime factors of l?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -637 - -862. What is the highest common divisor of y and 18?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-40)\/(-12)*(-6)\/(-25)?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -123 - -1022231232?\nAnswer: 1022231103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -2*d**2 - 7*d - 6. Let z = -76 + 71. Calculate l(z).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) 4 (b) -1\/103 (c) -3 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -41 - -37. Which is the second smallest value? (a) -2 (b) 4 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (32 - (4 - 3)) + (-1924 - -1889)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -1 - (-5032 - (-7 + 3)). Let w = 50319\/10 - t. Let v = -312147\/16 - -19503. What is the common denominator of v and w?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -n**3 - 12*n**2 - 2*n + 1. Let x be u(-12). Suppose -3*b + 8*b - x = 0. Let 1\/2*v**3 + v**2 - 3\/4*v**4 - 1\/2*v**b - 1\/4 + 0*v = 0. What is v?\nAnswer: -1, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.09 in 0.3, -0.1, -15, 5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4*(-2)\/12)\/((-4)\/26 - 77120\/(-460551)).\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 260947204?\nAnswer: 2, 7, 103, 90481","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) be the first derivative of -j**4\/2 + j**3 + 3*j**2\/2 + 3*j + 555. Let l(x) = -5*x**3 + 8*x**2 + 10*x + 8. Determine 8*b(n) - 3*l(n).\nAnswer: -n**3 - 6*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 145\/414 and -151\/13386?\nAnswer: 40158","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 36 - 33. Suppose -2*r = -d*j - 13 - 9, 5*r - 48 = 4*j. List the prime factors of r.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -6520249361947 and 5.\nAnswer: -6520249361942","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -s - 3. Let v(a) = 111*a + 9. What is 2*p(h) + v(h)?\nAnswer: 109*h + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**8\/(b\/b**(-28)) assuming b is positive.\nAnswer: b**(-21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 76*p + 1820 = -4*p + 220*p for p.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (8\/12)\/1*(-72)\/(-3). Let j = o + -11. Let f(x) = 2*x - 3. What is f(j)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2 - -2044300?\nAnswer: 2044243","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(2450) - -1*sqrt(2450)) - sqrt(2450) - (sqrt(2450) + sqrt(2450)*-1*-1))\/((sqrt(1440) + (1*sqrt(1440) - sqrt(1440)))*-2*5).\nAnswer: 49*sqrt(5)\/120","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = 5*r + 180, 24*r - 26*r = 5*f - 765. Calculate the greatest common divisor of 95 and f.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 134835?\nAnswer: 3, 5, 89, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -53584\/54431 + 78\/79. Let h = -32375\/2756 - y. Find the common denominator of (5 - 9) + 519\/54 and h.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 496, 469, 404, 283, 88?\n\"Answer: -3*f**3 - f**2 - 3*f + 503","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*m - 639709 = 97364. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u = 5*g, -g + 5*u + 0*u = 0. Suppose -4 + g = -f. Let a be f\/(-14) - (-45)\/35. Let z(q) = 5*q. What is z(a)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 35.396 * 61\nAnswer: 2159.156","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -763*c**2. Let s(v) = -13302*v. Determine s(n(a)).\nAnswer: 10149426*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is a0 + -4b?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0002216145 rounded to five dps?\nAnswer: -0.00022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 758 and 87374281?\nAnswer: 379","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r = 3*o + 2*o + 22, 2*o = -4. Suppose 4*h - 12 = 0, -r*x + 2*h + 27 = 6*h. Solve -15 = y - 0*p - 3*p, -x = -p for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4032 = 87*n - 3249 for n.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2103, -4206, -6309, -8412, -10515, -12618?\nAnswer: -14721","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -u**2 - 12*u + 80. What is b(5)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1, 1\/2, 1\/134, -8.2?\nAnswer: 1\/134","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.98539 (b) 5\/19 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 7484 divided by -1871?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand l + 0*l + 0*l + (-2*l + 2*l - 2*l)*(4 + 2 - 2) - 5*l + 2*l + l + (-3 + 5 + 0)*(1 - l - 1).\nAnswer: -11*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(sqrt(612) - (1 + sqrt(612) + -2)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -93866736522 minus 3?\nAnswer: -93866736525","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 11726491 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 93*x - 88*x - 30 for x.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 34*t**2 + 1656*t - 119. Determine i(-47).\nAnswer: -2845","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 24, 0.09, 9, 1\/5, -2 in decreasing order.\nAnswer: 24, 9, 1\/5, 0.09, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 0*t**3 - 5*t**3 + t**3 + t + 3*t**3. Let l(y) = 2*y**3 - 2*y**2 - 3*y. Calculate -l(d) - q(d).\nAnswer: -d**3 + 2*d**2 + 2*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (0 + -2)\/((-4)\/(-58)). Let y = 33 + m. Solve 2*r - r + y*g = 0, 3*r - 3*g = 0 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (740 - 734)*((-24)\/(-18))\/(1\/3).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -530\/7 greater than -75?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8527155 is divided by 82?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rqxkfxgxxqfrfqk. Give prob of picking 1 r, 1 q, and 1 g.\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 11995427 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 17 + 2*q - 2*q**2 - 5*q**2 + 6*q**2. Let l = -64 - -95. Calculate the remainder when l is divided by i(0).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -152 + 76. Is u greater than -75?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 25851645 and 765?\nAnswer: 765","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rblnrlrlblmlmbuuurmb. What is prob of picking 2 l?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4696 = 4*n - 8*n. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -t + 7. Let o be j(7). Let p = o - -2. Let b = 6 + 1. Solve -a - 3*r = -1, p*a + 2 = 5*r - b for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in 0.2, 0.3, -13\/2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 29*u**2 + u**4 - 33*u**2 - 21 + 1 - 15 wrt u.\nAnswer: 4*u**3 - 8*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1325?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(7) - (sqrt(56)\/sqrt(2))\/sqrt(4))**2 + (sqrt(7) - (1*sqrt(175))**2) - ((sqrt(49) - (sqrt(1225)*-2 + sqrt(49)))\/sqrt(7))**2.\nAnswer: -875 + sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -0.2, 3\/16, -3, 2\/57, 3 in decreasing order.\nAnswer: 3, 3\/16, 2\/57, -0.2, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, 5, 0.1, -5, 0.04 in decreasing order.\nAnswer: 5, 0.1, 0.04, -5, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -a9810 + -20?\nAnswer: -a9830","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Determine i, given that -222*i**2 - 2265513*i - 30615 = 0.\nAnswer: -10205, -1\/74","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) be the second derivative of f**6\/360 - f**5\/20 + 5*f**4\/6 + f**2 + 51*f. Let h(m) be the third derivative of a(m). What is h(9)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 123491046*t**2*w**2 - 2*t**2*w + 99*t*w**2 + 2159*t*w + 7*t - 1 wrt t?\nAnswer: 246982092*w**2 - 4*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 3350881645 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -20*x**2 - 4*x - 2. What is h(-1)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:59 PM and 12:45 AM?\nAnswer: 406","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -14, -31, -72, -149, -274, -459, -716?\n\"Answer: -2*l**3 - 3*l - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1510)\/88 - (-7 - 100\/(-14))*7. Which is smaller: i or -19?\nAnswer: -19","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-6)\/(-15))\/(1*(-9)\/(-5)). What is the biggest value in 1\/7, -0.02, s, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-3)\/((6\/(-9))\/(-2)). Let d = 12 + z. Sort d, -1, -2.\nAnswer: -2, -1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -18390 (base 15) in base 3?\nAnswer: -10222121000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0013787 rounded to 5 decimal places?\nAnswer: 0.00138","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/1)\/((-6)\/6).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1370116 divided by 4.\nAnswer: 342529","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.2228358 meters to nanometers.\nAnswer: 222835800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 2*p**2 + 13*p. Let r be y(-6). Let o(t) = -3*t**2 + 3*t - 1. Let u(f) = 4*f**2 - 3*f + 1. Determine r*o(m) - 5*u(m).\nAnswer: -2*m**2 - 3*m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4669*m**5 - 6195*m wrt m.\nAnswer: 93380*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 greater than or equal to 1\/159?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) be the first derivative of 18*r**5\/5 - r**4\/2 - 3*r**2\/2 - 13*r + 32. Find the second derivative of p(t) wrt t.\nAnswer: 216*t**2 - 12*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1036, -2074, -3116, -4162, -5212?\nAnswer: -6266","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 563 is divided by 142.\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-30)\/(-75)*(-2)\/(-2).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1 + 1 + (-6 - -9). Suppose x*n - 89 = 301. Is n a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 33097, 66195, 99303, 132427, 165573, 198747, 231955, 265203?\n\"Answer: x**3 - x**2 + 33094*x + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/36*-42 + -10?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + -11 + -3 - -7.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 63672?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -246 + 98 + 75 + 73 + 6*h. Let m(w) = 810*w**2. Give t(m(p)).\nAnswer: 4860*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -47.124626 rounded to one decimal place?\nAnswer: -47.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*y + n = 6*y + 3456 - 3435, -96*y - 3*n = -387 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 296319 to the power of 1\/4, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(108)*1*4 - (sqrt(108) + 3*(sqrt(108) + -1 + sqrt(108) - sqrt(108)) + sqrt(108)) - (2 + 1 + sqrt(108) - (sqrt(108) + 1*sqrt(108) + 2)))**2*-1 + 1.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 869 and 2?\nAnswer: 1738","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 42731249 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 79.05572 litres?\nAnswer: 79055.72","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14590*h**3 + 11049*h**2 - 1438*h**3 - 11049*h**2.\nAnswer: 13152*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10 + 6 - 13 + c.\nAnswer: c + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence na when two letters picked without replacement from hybybthyhan.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 155611 is divided by 28?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 7*k**2 + 3*k + 7. Let t be v(-5). Let a(n) = n**3 + 31*n**2 - 27*n + 52. Let y be a(-32). Let l = t + y. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -199*u**2 + 2*u - 2*u + 221*u**2.\nAnswer: 22*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 41425379 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4 + -4 - -5 - -7) + -3.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -z**2 + 15*z - 17. Let o be r(13). Suppose o + 21 = 5*v. Suppose 5*k + 0*f = -5*f + 50, -3*f - v = -3*k. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (21327\/9)\/(115\/15). Let z = 309 - f. Suppose -22 = -2*b - 4*a, 3 = -5*b + 4*a - 12. Which is bigger: z or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1045 and 1901020?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 2 + 2)*(5 + 3 - 3)*(2 - 1 + 0 - 4 + 1 + 2 - 4 + 0 + 2 + (-3 + 2 + 0)*(-1 + 3 - 4) - 4 + 6 - 3)*(-13*l - l - 3*l).\nAnswer: 85*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m - 4*x + 28 = 0, -3*m - 3*x + 2*x = -14. Suppose -2*k - 4*f - 4 = 0, -m*f = -8*k + 3*k + 46. Solve -c - 25 = -k*c for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 547 - 8197\/15. Let a = v + -14\/15. What is the biggest value in a, 0.3, -3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v - 4*b - 556 = -524, -v = -8*b - 46 for v.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*w**2*y**3 - 3613*w**2*y**2 - 28*w**2*y + 3*w*y - 20586*y**3 wrt w.\nAnswer: -4*y**3 - 7226*y**2 - 56*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7391*d + 3147*d + 6917*d + 2 to i + s*d and give i.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -x**2 + 22*x - 36. Calculate s(20).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 752237159 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 141 = -5*q + 6*q. Suppose -q - 160 = -7*y. List the prime factors of y.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1777 + 0 + 3 + (-8 - 1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (k**3 + 1 - 1)*(0 + 2*k**2 + 0) + 4*k**2 + 1508 + 4*k**5 - 3022 + 10*k**3 + 1513.\nAnswer: 6*k**5 + 10*k**3 + 4*k**2 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 73*l**3*r + 45*l**3 + 10*l**2*r - 129*l**2 - 368501*l*r - 17*l + 2 wrt l.\nAnswer: 438*l*r + 270*l + 20*r - 258","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -y + 2. Let m(p) = -p + 3. Let k(t) = 3*f(t) - 2*m(t). Let r be (-1)\/(-5) - (-9)\/5. Let z(h) = 3*h**2 + 0*h**2 - 2*h**r. Determine z(k(l)).\nAnswer: l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -123113 (base 4) to base 5\nAnswer: -24001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3 + 3. Let i be 3\/((-3)\/(-2) - 0). Suppose 25 = -4*j - 5*d, 5*d = i*j + 2*j - 25. Solve j*p - 4*a - 13 = p, -p - 3*a - 11 = b for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-10 + 9)\/(2\/(-10)). Which is the third biggest value? (a) 3 (b) 4\/5 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 337 + 3606?\nAnswer: 4145","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2)\/8 + 5\/4. Let v be (-210)\/(-99)*(-2)\/(-8). Let x = 1\/33 - v. What is the closest to x in 3, s, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*v - 30 = -0*v. Solve -u - 1 = -6, d = -v*u + 13 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(896) - (sqrt(896) - sqrt(896)*-3*-3 - sqrt(896)))\/(-1*sqrt(50) - sqrt(50) - 2*sqrt(162)).\nAnswer: -20*sqrt(7)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1)\/(((-6)\/(-15))\/(8\/(-10))). Let c(u) = -u**3 + 3*u**2 - 2*u - 1. Let k(x) = -x**2 + x + 1. Let m(g) = b*c(g) + 2*k(g). What is w in m(w) = 0?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 29*n**3 + 3*n**2 + 4*n. Let b(a) = a + 2. Let o be b(3). Let z be x(o). Let r = -40886\/11 + z. Calculate the common denominator of 11\/6 and r.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 722739.34 rounded to the nearest 1000?\nAnswer: 723000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = 3*f + 44. Let b = -6 - f. Let n(j) = 4*j**3 - 6*j**2 + 3*j. Let q(g) = 7*g**3 - 12*g**2 + 7*g. Let r(i) = 5*n(i) - 3*q(i). Give r(b).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.45 + 0.29. Let i = f - -2.16. Put i, 1, 2\/13, -4 in ascending order.\nAnswer: -4, 2\/13, 1, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1116 and 432.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 982 a multiple of 61?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/4*-5)\/(25\/(-50))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 412448463343 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -18*v + 4. Let q be k(-10). Suppose 3*b - q = -40. List the prime factors of b.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b + 3 - 15 = 0. Let k = 1612\/7 + -228. Which is bigger: b or k?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*t**3\/4 + 42681*t**2\/2 + 399527115*t\/4 - 793888577700.\nAnswer: 3*(t - 4016)*(t + 16235)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 10441923673 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o\/(o**(2\/3)\/o))\/o*o)**(-3\/10)*(o*o**(1\/6)*o)\/o**(-6))\/(((o**(-2\/9)\/o)\/(o\/o**1*o))\/(((o*o**(5\/2))\/o*o)\/o**(-5))) assuming o is positive.\nAnswer: o**(832\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -4, -2, -0.4, -3.97?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 419658 to the nearest integer?\nAnswer: 648","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -15 - (6 - (111 + -1 - (2 - -31 - 34))).\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1238 + 1261. Which is the closest to u? (a) -4 (b) -1\/8 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6544 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 m = 0 + 0.1. Let b = -55 - -52.1. Let h = b - -2.8. Sort m, h, 2 in descending order.\nAnswer: 2, m, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-4)\/(12\/(-39)) + 3. Suppose u + 0*c - 3*c - v = 0, 0 = u - 2*c - 14. Let f be u\/(-6) - 1\/3. Let w(l) = l**3 - l - 2. Calculate w(f).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = w**3 + 6*w**2 + 10. Let d be p(-5). Suppose d = 11*a + 2. What is the greatest common factor of a and 51?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -91*o + 94*o = -75. Let t be 15*(3\/9 + -2). Is o less than or equal to t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = j**3 + 90*j**2 + 279*j + 1704. Calculate i(-87).\nAnswer: 138","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) be the second derivative of 1221*j**5\/20 - j**4\/12 - j**3\/3 - 5*j**2 - 2589*j. Find the third derivative of b(h) wrt h.\nAnswer: 7326","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) be the second derivative of -w**5\/10 - 17*w. Factor l(c).\nAnswer: -2*c**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a = 5*b + 35, 5 = -5*b - 10. Let o(q) = -q**3 + q**2 + 3. Let v be o(0). Let z = a - v. Put 1\/4, -5, z in decreasing order.\nAnswer: z, 1\/4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -9*s + 2. Let n be z(0). Suppose 15*m - 3*l = 18*m + 471009, 0 = -5*m - n*l - 785006. What is m rounded to the nearest one hundred thousand?\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4\/13 in -0.1, -3, -0.04, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 2, p: 1, h: 3, o: 5, x: 5}. What is prob of sequence pb?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is a in -2*a**5\/9 + 22*a**4\/9 - 28*a**3\/3 + 12*a**2 + 6*a - 18 = 0?\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 1045, 69, -2, 320 in descending order.\nAnswer: 1045, 320, 69, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -o + 0*o + 0*o. Let u(c) be the second derivative of 9*c + 0*c**2 + 2\/3*c**3 + 0. Calculate u(w(l)).\nAnswer: -4*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/9*-15*918\/26010.\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 3004 = -3*w, -1528 = 22*l - 24*l + 5*w. Does 28 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.3 equal to 35\/31?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7, 15, 13, -5, -45?\nAnswer: -113","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-123*(-4)\/6)\/(-2). Suppose -6*m + 256 = -20. Let t = k + m. Sort t, -5, -2.\nAnswer: -5, -2, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 134 divide 2814?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 14185234781 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -56912*m = -56940*m - 140 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) be the third derivative of 0 + 0*w + 8*w**2 + 1\/60*w**5 + 0*w**4 - 11\/6*w**3. Determine v(0).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -1847*r. Let l(k) = -20*k. Give n(l(c)).\nAnswer: 36940*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -22 + -77 - (-223 - -17)\nAnswer: 107","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l when two letters picked without replacement from {v: 2, l: 17}.\nAnswer: 136\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -176 = -l + h - 173, 0 = 5*l - h + 5 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -434*h**4 + 27*h - 3*h**3 + 150*h**4 + 4 + 147*h**4 + 3*h**2 + 139*h**4 to the form o*h**2 + c + w*h**4 + r*h + m*h**3 and give r.\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (o**2 - 3*o + 3*o)*(0 + o + 0) - 8*o**3 - 14*o**3 - 33*o**3 to j*o**3 + b*o + c*o**2 + d and give j.\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 1 n when two letters picked without replacement from {g: 4, n: 1, j: 2, a: 1, y: 1}.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 154\/(-36) - (-2)\/3 and (-2)\/(-5) + 226\/(-20).\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 - 8*w**3 - 3*w**2 - 2*w**3 + 8*w**3 to b*w + c + t*w**3 + k*w**2 and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1 + -35?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-705)\/45 - 36) + (-1 - 4 - (-165)\/45).\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 33678144 and 41622.\nAnswer: 5946","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 26 + -43 - (21 - (20 - -17))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -11 + 6. Let j = 6 + 0. Let z = w + j. What is the units digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**(-17)\/s*s\/(s\/(s\/(s**14*s)))*s*s assuming s is positive.\nAnswer: s**(-30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -4*a**2. Let n(t) be the second derivative of -t**7\/840 + 19*t**4\/4 + t - 2. Let z(p) be the third derivative of n(p). Give z(d(v)).\nAnswer: -48*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(152) - (2*sqrt(152) - sqrt(152)))*-5 + sqrt(152))\/(sqrt(32)\/(sqrt(4)*-1)).\nAnswer: -sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -t**3 + 11*t**2 - 20*t - 59. Calculate q(7).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 5 = -5*b + 2*b, -5*b + 15 = 5*f. Suppose 0 - 14 = -f*i. Is 3 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 69\/23552452 and -29\/846.\nAnswer: 211972068","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = c - 7. Let n be h(7). Let z = n + 0. Suppose z = 2*j - 0 - 36. What is the units digit of j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 65821.06ug?\nAnswer: 65.82106","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-28 - -22)\/(3\/(-2)). Let f be 0 - ((-2)\/(-8)*p + -4). Suppose 2*q = q + f. Solve -q*m + 15 = 2*m - g, 5*g = 25 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 49 = -2. Suppose 38 = -15*c + q*c. Calculate the remainder when 74 is divided by c.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -119 - -240. Is l a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*d - k - 36, 2*d + 81 + 1053 = 68*k - 115*k for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 12821 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 18, 34, 50, 66?\nAnswer: 82","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 914 - 535. What is the units digit of p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5)\/(-4)*2\/(-10)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -103\/5131840 and -131\/1120?\nAnswer: 5131840","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Calculate -424308 divided by 106077.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + (3 - 14 - -6).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -12768 divided by 14\nAnswer: -912","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q - 2*q - 40 = 0. Let p be (-896)\/(-6)*(-36)\/q. Suppose c + 41 = p. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -20144*a**3 + 6*a + 21. Let w(t) = -60432*t**3 + 16*t + 56. Calculate 8*r(c) - 3*w(c).\nAnswer: 20144*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.11, -313, -2375, -3 in decreasing order.\nAnswer: 0.11, -3, -313, -2375","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000012571903 to seven dps.\nAnswer: 0.0000126","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express q - q - q**3 + (0*q + 0*q + 2*q**2)*(2*q - 1 + 1) - 5*q**3 + 4 - 4 + 34*q**3 + 21*q**3 + 2*q**3 as w + g*q**2 + a*q**3 + v*q and give a.\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 3*j = -47, t - 5*j = 3*t - 93. Suppose -t = -2*p - 0*p. Does 11 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 4 (b) -641 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o*o*o\/(o*o*o*o**0*o)*o\/(o\/((o*o**(-1\/10)*o)\/o))*o*(o\/o**1)**(-7\/2)*(o**(-1\/8)*o**(-1\/2))\/((o\/(o**1*o))\/o)**48 assuming o is positive.\nAnswer: o**(3851\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 4, k: 1, s: 1, x: 4}. What is prob of sequence xxx?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - w + 0)*(-3 + 3 + 1) + (4 + 0 - 2)*(-5*w - 20 + 20).\nAnswer: -11*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1570007 a multiple of 270?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 82432.\nAnswer: 2, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 269 in -0.4, 11, -376?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jh when two letters picked without replacement from {v: 5, j: 1, h: 1, y: 3, l: 3}.\nAnswer: 1\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 67972*n**2. Let r(s) = -s**2. What is v(r(y))?\nAnswer: 67972*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*f + 22*f - 90022 = -19*f. What is the greatest common divisor of f and 46?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 121147?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -5 + 10 - ((-3 - -3) + 4)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5933486887?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -708*o**2 - 725*o**2 + 1418*o**2. Let h(u) be the first derivative of -4*u**3\/3 + 9. What is h(t(s))?\nAnswer: -900*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2 (b) 3\/28 (c) 19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 510.\nAnswer: 2, 3, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*k + 55 = 1039. What is the remainder when k is divided by 17?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine t, given that -2*t**4\/5 + 6*t**3 - 76*t**2\/5 + 48*t\/5 = 0.\nAnswer: 0, 1, 2, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 40*g**2 + 15012325*g + 1876540.\nAnswer: 5*(g + 375308)*(8*g + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3\/(-1 + 4) - -1770. Suppose 0 = -5*j - v + u, -5*j + 694 = -3*j + 4*v. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2119 - -8792\/3. Let w = -811 + k. What is the third biggest value in -0.3, w, -0.034?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 + (3 + -4 - 2) - (19 + -15)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1*(-5)\/((-15)\/6)*(-1184)\/(-37)\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (sqrt(11) + -1)**2 + 3)*1.\nAnswer: -2*sqrt(11) + 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or -1087\/594227?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -6 + 5. Let t = f - -0.99999965. Round t to 7 decimal places.\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 129 - 639 = 102*u for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 1371?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (6 + -7)\/((-35)\/14)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2\/(-8) - (-7)\/28. Suppose 4*d + h*d - 4*y + 28 = 0, -4*y + 16 = 0. Calculate the remainder when 37 is divided by (10\/5)\/(d\/(-15)).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 210656731 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*l + 5628 = 5459 for l.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -7*s**3 - 4*s**2 - 4*s. Let n(k) = -6*k**3 - 5*k**2 - 5*k. Let i be -3*(352\/33 - 9). Calculate i*o(m) + 4*n(m).\nAnswer: 11*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 387\/349924 or 0?\nAnswer: 387\/349924","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -f + 5. Give q(10).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 6875, 13577, 20285, 26999, 33719, 40445?\n\"Answer: 3*a**2 + 6693*a + 179","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 38870*h**2*m + 3*h**2 + 5*h*m + 4*h + 2*m + 8017 wrt m.\nAnswer: 38870*h**2 + 5*h + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) be the third derivative of 0*x**3 + 0*x + x**2 + 0*x**5 + 0*x**4 - 1\/10*x**6 + 0. Let m(r) = 8*r**3. Let c = 19880 - 19875. Calculate c*n(h) + 7*m(h).\nAnswer: -4*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:45 AM and 10:57 AM?\nAnswer: 432","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 390 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jvutj. Give prob of picking 1 t, 1 j, and 1 v.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 113*a - 58*a - 22*a - 31*a - 5. Let k(b) = -3*b + 8. Suppose -4*y = -m + 36, 5*y + 0*m + 28 = -3*m. Determine y*w(f) - 5*k(f).\nAnswer: -f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 3*w - 684272 = 113700, -f + 2*w = -159607. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 102388340 a multiple of 3691?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = x**2 + 14*x + 53. Determine p(-7).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 + (-5 + (8 - -6) - -10)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:43 AM and 11:46 AM?\nAnswer: 63","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 0.7893786 nanograms?\nAnswer: 0.0000007893786","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -27*f**3*v - 4*f**2*v - 49*f + 65*v wrt f?\nAnswer: -162*f*v - 8*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -y**3 - 2*y**2 + 5*y + 4. Let f be t(-4). Let g(v) = -f - 5*v + 16. Let n(q) = -4*q**2 + q**2 + 2*q**2. Give n(g(h)).\nAnswer: -25*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 313 + -304. Sort -2, a, 2.\nAnswer: -2, 2, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) be the second derivative of l**5\/20 + l**3\/2 + l**2\/2 - 3*l. Let f(r) be the first derivative of s(r). Differentiate f(k) with respect to k.\nAnswer: 6*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 402838926.\nAnswer: 2, 3, 7, 359, 26717","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 2, 91, 193 in decreasing order.\nAnswer: 193, 91, 2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) be the second derivative of x**5\/4 - x**4\/6 - x**3\/3 + x**2 - 5*x. What is the units digit of q(2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -77 + 77 + 20*p to q + c*p and give c.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-97 + 120*z + 134 - 38)*(2 + 1 - 1).\nAnswer: 240*z - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -u**3 - 6*u**2 + u + 16. What is the tens digit of l(-6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1)\/(21\/98*21 + -7). Solve 2\/5*t**3 + 6\/5*t**2 + 6\/5*t + w = 0 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-37 + 96 - 39) + -19?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 14 and (-1200)\/(-270) - 8\/18 - -4?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 52222324 to the nearest integer?\nAnswer: 7227","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u = 2*a + 6, 3*a = 4*u + 45 - 53 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 76 divide 130186762?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 45635637601 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -103*g**4 + 39*g**4 + 2 + 2*g**3 + 31*g**4 + 17*g + 32*g**4 to the form j*g**2 + t*g + h + x*g**4 + i*g**3 and give t.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -b9 + -177?\nAnswer: -241","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -287123876 divided by -658541.\nAnswer: 436","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g = 5*z - 49, 3*z = 7*z - 4*g - 28. Solve -3*q + z = 3*s, -6*s = -2*s for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (7\/2)\/((-913)\/20086).\nAnswer: -77","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 41 = -3*o + 8*s + 10, -o = 4*s - 3 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 6, m: 4}. Give prob of picking 2 f.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -34 - -88. Suppose 3*u = 12, -q + 1 = -5*u + 15. Calculate the greatest common divisor of q and k.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine o so that -2*o**5\/5 - 81198*o**4 + 9339034*o**3\/5 + 41821974*o**2\/5 + 54002896*o\/5 + 21925944\/5 = 0.\nAnswer: -203018, -2, -1, 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9 - 9 - (-2 + 4 - -3)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/((-1845)\/30))\/1?\nAnswer: -2\/41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Total of 5030674747 and 46.2.\nAnswer: 5030674793.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in seventy-six fifths of a milligram?\nAnswer: 15200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.087734661 + 0.2655?\nAnswer: 0.177765339","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 426\/7 + -113\/2. Calculate the common denominator of c and -87\/10.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 78 = 5*h. Let v(i) be the third derivative of i**5\/60 - 3*i**4\/4 - 19*i**3\/2 + 55*i**2. What is the remainder when h is divided by v(21)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + ((sqrt(54)\/(sqrt(9) - (sqrt(9) + -5*sqrt(63)\/sqrt(7))))\/(sqrt(36)\/(sqrt(36)\/(sqrt(3) - 3*sqrt(3)))))**2.\nAnswer: -149\/50","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15 = 6*f - 39 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1\/15 (b) -0.06 (c) -55 (d) -2\/3 (e) -2\/21\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -52*t = -46*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -4187*i + 19. Let n(g) = -5235*g + 21. Let k(o) = -4*n(o) + 5*y(o). Let p be ((-3)\/(-2))\/((-12)\/32). Calculate k(p).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -50*p - 31*p**3 - 492*p + 9*p**3 + 25*p**3 - 336*p + 203*p.\nAnswer: 3*p**3 - 675*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -j, -2*m - 2*j - 3*j = 7. Let t = m - -9. Sort t, -1, 1 in decreasing order.\nAnswer: t, 1, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -765084 by 382542.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2)\/(-2)*13840\/(-120)*-84 a multiple of 191?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -231 - -103. Let h = t - -191. Let m = 68 - h. Solve 0 - 5 = -m*p for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*(m**(1\/18)\/m)\/m)\/(m\/(m*m*m**(-3\/2))))\/(m**4)**(-23) assuming m is positive.\nAnswer: m**(815\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-15)\/3)\/(-1)*1. Suppose -o = -m*o + 12. Find f such that -21*f**o - 10*f**2 - 14*f**4 - 11*f**3 - 12*f**2 - 4*f = 0.\nAnswer: -1, -2\/7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -33384701574527 take away -4?\nAnswer: -33384701574523","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 - 5 - 6*u**2 + 21*u**2.\nAnswer: 15*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 10 + -14 - 1*-11. What is the second derivative of 4*d**5 - d**5 + 9*d - j*d wrt d?\nAnswer: 60*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -48, -45, -30, 3, 60, 147?\n\"Answer: s**3 - 4*s - 45","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 177*o + 527. Calculate r(-3).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38150 = 5*k - 3*b, 0 = 4*k - 4*b - 11447 - 19065. List the prime factors of k.\nAnswer: 17, 449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + 441*d - 2097 = 438*d, t + 3*d - 713 = 0. Does 10 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -292697*r**4 + 8*r**2 + 9236.\nAnswer: -7024728*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 2*w**3 - 4*w**2 + 2*w. Let h(y) = -y**2. Let f = -103 - -102. What is f*x(a) + 5*h(a)?\nAnswer: -2*a**3 - a**2 - 2*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*x + 9*x - 1 - 8*x)*(2*x - 4*x + x).\nAnswer: -5*x**2 + x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*g - 19 - 3 = 0. Suppose -107 = -r - g*r + j, -r - j = -29. What is the remainder when 269 is divided by r?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5103.996 milliseconds to nanoseconds.\nAnswer: 5103996000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 141475 - -888298. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1614992 is divided by 202.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -26*t**3*y**3 - 2*t**2*y**3 - 2*y**3 - 2 wrt t.\nAnswer: -156*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i + 8 = -z - 2, -4*z + 2*i = -48. Suppose -z = -5*l + 5. Factor 0 + 7\/3*w**4 - 3*w**l + 2\/3*w**2 + 0*w.\nAnswer: w**2*(w - 1)*(7*w - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = -j + 5*m + 108, -5*m + 128 = 2*j. Let u(p) = -10*p + 1. Calculate the remainder when j is divided by u(-3).\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-39)\/312)\/((-15)\/(-160))*21\/(-4).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4017 + 43834. List the prime factors of d.\nAnswer: 29, 1373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(1\/9)*i**(-10))**(-6\/5)*(i**(-1\/4))**(-1\/12)*(i*i**4*i)\/(((i*i*i**(7\/3)*i)\/i)\/i) assuming i is positive.\nAnswer: i**(3493\/240)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 12 (b) -0.3 (c) -45 (d) -3 (e) 0\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (154\/63)\/(-11) - 14008\/(-18).\nAnswer: 2, 389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -237*q + 2001 + 2131 = -1793 for q.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.89*0.057.\nAnswer: 0.10773","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(2\/13)*t)\/(t\/((t\/((((t*t\/t**8)\/t)\/t)\/t*t*t))\/t)))**(-13) assuming t is positive.\nAnswer: t**(-93)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 354180.\nAnswer: 2, 3, 5, 5903","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -2*d**2 - 14*d + 4. Let l be j(-6). What is the greatest common factor of l and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 9822797 and 32023.\nAnswer: 1033","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -178\/9 greater than or equal to -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m + 15 + 7 = 5*a, -5*m + 22 = 2*a. Let i = 10 - 8. Solve -4*p - a = -i*p for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ti when two letters picked without replacement from {i: 1, t: 4, b: 2}?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 149\/420 and 133\/4248.\nAnswer: 148680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from irolxrxroxrqqix. Give prob of sequence or.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 145 minutes before 6:55 PM?\nAnswer: 4:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -1296600 to the nearest one hundred thousand.\nAnswer: -1300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 4 - 4681\nAnswer: -4677","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -33 - -55. Let r be (-3)\/(-6) - i\/20. Let p = 0.47 + -0.07. Sort p, -0.3, r in descending order.\nAnswer: p, -0.3, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 18 and 4842.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 183*v - 161*v + 168*v to c + l*v and give l.\nAnswer: 190","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aqqaqaaaqvv. What is prob of picking 2 q?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 16*b - 34 - 136 - 6 for b.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2.4 - -2.6. Sort w, 4, -0.1, -7 in increasing order.\nAnswer: -7, -0.1, 4, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 11 - 90)*(0 + 0 + 2*o)*(1 + 2 - 6).\nAnswer: 624*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*1*sqrt(162) + sqrt(162)*-1 + 3 + sqrt(162) - (3 + 6*1*sqrt(162)))**2.\nAnswer: 1458","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 2*r**2 + 50*r + 301. Let z be i(-9). Calculate the highest common divisor of z and 1391.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/(-54))\/1*11\/(-11).\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 1020766038 + -18\nAnswer: 1020766020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -254.01+1\nAnswer: -253.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 787.3308 milligrams?\nAnswer: 787330.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 82308.\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 37 + -22. Suppose o = -4*o + k. What is the smallest common multiple of 6 and (-6)\/(-4)*8\/o?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -9 - -8.999997. What is n rounded to 6 dps?\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4280621 minus -0.05?\nAnswer: -4280620.95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 19737, 20158, 20581, 21006, 21433?\n\"Answer: g**2 + 418*g + 19318","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2 + -1. What is the second derivative of -1 + l**4 - 4*l**4 + l + u wrt l?\nAnswer: -36*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1223531015 (base 6) to base 7\nAnswer: -231345263","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -2 + 9*1\/2. Let u = -50 + 45. Let j be 0 + 0 + (-2 + u - -9). Which is bigger: j or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 315 and 4.91930908231.\nAnswer: 319.91930908231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 437 is divided by 49.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ppupuuupppppu. What is prob of picking 2 p and 2 u?\nAnswer: 56\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/p**(2\/17))\/(p\/(p*p*p**(-2))))\/(p*p**(-1)*p*p)**(-37\/2) assuming p is positive.\nAnswer: p**(627\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 - 41 = -2*f. Let q = f - 12. Suppose u - 2 = q, 0 = 2*x + 4*u - 546. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 842088 - 421044 - 421044 + 1516*m.\nAnswer: 1516*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*v - v + 7*v)*(4*v - v - 2*v) - v + v - v**2 + (-v - v + 3*v)*(-2*v + v + 2*v) - 4*v**2 - 4*v**2 + 3*v**2.\nAnswer: -v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 3*3\/(-3 - -6). Suppose 4*h = -l + p, 0 = -3*h - 5*l - 15 - 4. Let u(a) = a + 7 - h*a + 0*a. What is u(5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 2*c**3 + c**2 - c + 9. What are the prime factors of t(3)?\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 34\/10 - ((-68)\/(-20) - 3). Solve 5*h - 7 = 5*d - 2*d, -v*h - d + 7 = 0 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1 + 15. Let z be (-183)\/(-2) + 8\/c. Suppose -7148*l - 621 = -7175*l. What is the greatest common divisor of z and l?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -7 + 22. Suppose -q = -3*a - 3. Suppose 38 = a*k - 26. What is the tens digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -133 + 198. Let a = 16 - s. Let p = 97 + a. What are the prime factors of p?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6216 by -296.\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5*-1023.2.\nAnswer: 5116","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve j - 11 = 4*u - 6*u, 2*j - u - 2 = 0 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 6 = -0. Suppose -5*d - j = 2*j - 80, -4*d = -z*j - 91. Suppose -2*g + 4*q = q - 13, -d = -5*g + 3*q. What is the units digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 169\/30 and 37\/108.\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*x**5\/7 + 52*x**4\/7 + 180*x**3\/7 - 100*x**2\/7 - 1000*x\/7 = 0. Calculate x.\nAnswer: -5, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 12 = 3*h, 0 = -4*h + 3*l - l + 16. Suppose 0 = h*z, 2*j + 5*z - 8 = 18. What is the remainder when j is divided by 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 48045.\nAnswer: 3, 5, 3203","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 47842 and 5206.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 127 divided by 2\nAnswer: 127\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 35*r - 79295 + 4465. What are the prime factors of r?\nAnswer: 2, 1069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 112*j - 244*j + 108*j. Let r(q) = 40*q - 38*q - 3*q. Determine 15*r(z) - u(z).\nAnswer: 9*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put together 1312909 and -4.\nAnswer: 1312905","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**6\/o)\/o**(1\/9)*(o**(2\/5))**(8\/7))\/((o**(-2)\/o*o**(-3))\/(o**(-1\/3)\/o*o*o**(-6))) assuming o is positive.\nAnswer: o**(1579\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = s**2 + 11*s + 5. Let w be p(-9). Let t be w\/(-15) - (-5)\/(-25). Which is the nearest to 0? (a) -2 (b) 4\/9 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 367 - 366.7. Put -4, -34, z in descending order.\nAnswer: z, -4, -34","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -4, 42, -991 in ascending order.\nAnswer: -991, -4, 4, 42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 103761 and 91854.\nAnswer: 5603094","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -65516\/35 - -1869. Let j = 1416\/7 + x. Let t = j + -198. Which is smaller: 1 or t?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -41 - -38. Put 7, -4, u in decreasing order.\nAnswer: 7, u, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) be the second derivative of -z**3\/2 + 700*z. Let x(b) = 5*b**2 + 17. Calculate k(x(u)).\nAnswer: -15*u**2 - 51","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 3 = 7. Suppose -p = -o*p + 11. Let z(u) = u**3 - 10*u**2 - 12*u + 6. Let g be z(p). Which is the nearest to 2? (a) 0.2 (b) -1 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (((-2 + sqrt(125) + 3)**2 - sqrt(125)) + sqrt(125) - 4*(sqrt(125) + (2 + sqrt(125) - sqrt(125))**2)).\nAnswer: -10*sqrt(5) + 113","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 7259407 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 4\/(1\/(9\/6)). Let y(u) = -u + 9. Let z be y(q). Suppose 171010 = -z*w + 2*j, 3*j + 5 = 4*j. What is w rounded to the nearest ten thousand?\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1042 + -1?\nAnswer: -1043","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3.2 - -3. What is the third biggest value in -5, -0.1, j?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 1\/3, 0.4, -1.46, 0.2 in decreasing order.\nAnswer: 2, 0.4, 1\/3, 0.2, -1.46","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Determine h, given that 10*h**5\/9 - 44*h**4\/3 + 418*h**3\/9 - 160*h**2\/3 + 184*h\/9 = 0.\nAnswer: 0, 1, 2, 46\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:51 PM and 5:19 AM?\nAnswer: 508","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21*j**3 + 24*j**3 + 13*j**3.\nAnswer: 58*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*o = -11*o - 8 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2486643264?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 716456, 716460, 716466, 716474?\n\"Answer: v**2 + v + 716454","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1944 and 792?\nAnswer: 21384","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -278*c - 122. Let b(i) = -93*i - 41. Let v(d) = 11*b(d) - 4*n(d). What is the hundreds digit of v(3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + -13 - -28 - (2 + -4 - 3)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2\/(-3) + 2\/3. Suppose -29*o + 32*o = 0. Let x be (-4 + o + -1)*6\/(-15). Solve q = 4*c + 5*y + 21, 0 = 2*c + x*c + y + 17 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 6 and 438.\nAnswer: 438","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-224)\/(-192))\/(3*11\/198)*(-16)\/14?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1953 is divided by 103.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j*j\/(j\/(j*j**(-2\/5))*j)*j\/(j**(-1\/16)*j*j))\/(j*j\/j**8*j\/(j**(2\/3)*j)))**(-24))**(-31) assuming j is positive.\nAnswer: j**(47089\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -6946*r**2 - r + 9158 wrt r.\nAnswer: -13892","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -2*(3 + -5 + 1). Factor 2*m**5 + 12*m**4 - 32*m**u - 2*m**3 - 292*m - 4*m**3 + 316*m.\nAnswer: 2*m*(m - 1)**2*(m + 2)*(m + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 44962?\nAnswer: 2, 22481","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/27*-3*(48\/14)\/(-4).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Are -6 and -90\/13 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -15*(-10)\/25 + -502. Round l to the nearest 100.\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 0 + 33702043?\nAnswer: 33702043","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11 - 10 + 1 + 6 + 13*t + 15.\nAnswer: 13*t + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 101036984077 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -3199550 rounded to the nearest 100000?\nAnswer: -3200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -75165 + 74743.33. Round t to the nearest 100.\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-79 - 24 - 327)*(-5*w - 8*w + 0*w)*(4*w**2 - 6*w**2 + 0*w**2).\nAnswer: -11180*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 300 minutes before 2:25 PM?\nAnswer: 9:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 101.5 - 102. Suppose 3*n = -6 + 15. Suppose -3*i - n*o + 6 = o, -5*o = 3*i - 9. What is the biggest value in i, j, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 21292505 or 85170015\/4?\nAnswer: 85170015\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g**(-6))**(-35)\/(g\/(g*g**(2\/7)))**21 assuming g is positive.\nAnswer: g**181","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -4, -16, -10.5?\nAnswer: -16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -19, 5, -451, -2, -0.15, -1, -2\/13?\nAnswer: -19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (12\/14)\/(568\/560 + -1). Let q = -55 + j. Solve 3*m + q = -10 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 43278859?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -11, -34, -63, -98, -139, -186?\nAnswer: -239","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n - 5 = 4*m, 5*m - 4 = 10*m + 2*n for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -2*p**2 + 162*p - 3065. What is i(51)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3 - -8. Suppose -f - 5*z - 5 = -11, 5*z + 90 = l*f. Suppose -w + 11 = 3*r + 3, -5*w - f = r. What is the units digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1 and 20397994?\nAnswer: 20397994","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 40 a factor of 6217400?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 1 - (19\/(-5) + 1) and (-66)\/189 + 20\/(-90).\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 60218 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000961858016 to 6 dps.\nAnswer: 0.000962","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.1481 and 0.9664.\nAnswer: 0.14312384","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -183.88 and 5?\nAnswer: -919.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 74 = -4*s, 0*k - 196 = -4*k - 4*s. Let l = -25 - -55. What is the greatest common factor of l and k?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 31 - 30.8. Let h = -0.3 - 13.7. Let r = h + 10. Is r > x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - 12 = -4*p, 4*p - 5*u = -4*u + 10. What is the fifth smallest value in -1, -2\/23, -1\/5, p, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (1\/3)\/(2\/66). Suppose 0 = -2*y + 2*v + 1 - r, 2*y + v = 5. Differentiate 4 + y - 2 + d with respect to d.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 156 + -80. Solve -2*p + 66 = q for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -231 - -235. Solve y = -2*q - 2*k, 4*k + 0*k + 14 = 2*q for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (9 + -26)\/(-17)*(2 + -1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -12 (b) -933 (c) 5 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = q**3 + q**2 - q + 23. Let z be y(0). Calculate the greatest common factor of z and 184.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.5, -19, -4, 2?\nAnswer: -19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 25 + -22. Suppose 3*n = -3*w + 354, -p*w - 788 = -5*n - 222. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 57656363?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 4 - -2045?\nAnswer: 2049","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/p**0)\/p**(-5)*((p*p**(3\/7))\/p)\/p**(-2\/9))\/(((p*p**(5\/2))\/((p\/(p\/(p\/(p**(-1)*p))))\/p))\/(p**(4\/5)\/p**(-6))) assuming p is positive.\nAnswer: p**(6269\/630)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 10054651?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 239 in -0.3, -3, 0.14, 0.4, -2\/121?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1 - -14. Suppose -5*p + 2*v = -21, c = 4*p - 4*v - 9. Suppose -6*j + j = -5*d + 6305, -3787 = -p*d + 5*j. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -y**2. Let k(r) = 4*r**2 + 17*r - 164. Let h be k(8). Let v(g) = 5*g + 228 - h. Calculate f(v(i)).\nAnswer: -25*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 99.742 micrograms in milligrams?\nAnswer: 0.099742","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 52\/5 of a decade in years?\nAnswer: 104","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -3 (b) -0.1279 (c) 5\/3 (d) -0.16\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = -3*w + 53, 52*c + 2*w = 57*c + 5. Suppose 0 = -3*n + n + 296. What is the smallest common multiple of c and n?\nAnswer: 1036","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 38*s**2 - 4*s - 4. What is the units digit of n(-2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 3, x: 2, k: 1, j: 2, n: 2, m: 2}. Give prob of picking 3 c and 1 n.\nAnswer: 2\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(180) + sqrt(180) + -1 + sqrt(180))**2 + (sqrt(5) + 0 + -5)**2)*1.\nAnswer: -46*sqrt(5) + 1651","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/26 in 4, 5, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 3*i + 11 = 0, 3*i + 3 = 6*i. Let q = l - 9. Which is the third smallest value? (a) 5 (b) q (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:55 PM and 9:29 PM?\nAnswer: 274","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Are 3585\/8 and -21 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9902.291 litres to millilitres.\nAnswer: 9902291","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -45, 2, 154, -0.3, -3\/8.\nAnswer: -45, -3\/8, -0.3, 2, 154","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -3, 1, -60, -2 in descending order.\nAnswer: 3, 1, -2, -3, -60","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -p**3 + 7*p**2 - 6*p + 3. Let x be l(6). Let b = 29 + -25. Solve 0 = b*q - x*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = a**2 - 13*a - 38. What is r(16)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 3086 - 7*o - 19*o**2 - 3073 + 19*o**3 + 12*o + 8*o. Let n(u) = -3*u**3 + 3*u**2 - 2*u - 2. What is -39*n(w) - 6*p(w)?\nAnswer: 3*w**3 - 3*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.002384575 to five dps.\nAnswer: 0.00238","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 514\/(-8) + (-1)\/(-4). Let s = -45 - f. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (14\/(-4) - -5) + (-3375)\/(-6). Let b = 556 - u. Let n(q) = -10*q - 4*q**2 - 1 - 8 + q**3 - 3 + 11*q**2. Give n(b).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 23*k. Let o(x) = -36*x. Let q(l) = 5*o(l) + 8*v(l). Let p(w) = 2*w + 0 + w + 0. Give q(p(j)).\nAnswer: 12*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -4*y + 7. Suppose 0 = 43*f - 11*f. Suppose 3*t - 3*u - 33 = f, y*t - 1 - 9 = -u. What is the units digit of t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -74121231 and 2.\nAnswer: -148242462","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 66 and 5478?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -31\/150 + 1\/25. Let l be 6\/4*(-4)\/21. What is the nearest to l in -3, z, 3?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -85.8 and -1484.24?\nAnswer: 127347.792","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -0.469 (b) 2 (c) 9157\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve q - 12 = -3*h + 10*q, 5*q = -5*h for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1.56 + -1.26. Is 30 at least as big as t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 6, i: 3, y: 3, l: 5, a: 2, h: 1}. Give prob of picking 1 a and 2 y.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-1\/4))**20\/(r\/(r\/r**(-21))*r*r**7\/r) assuming r is positive.\nAnswer: r**9","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -222*h + 107*h + 115*h - 19198*h**3 + h**2.\nAnswer: -19198*h**3 + h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 4*c + 7. Suppose -4*b - c*o + 42 = 0, 5*o = 4*b + b - 15. What is the units digit of (-10)\/b*(1 - 5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 178926, 357874, 536822, 715770?\n\"Answer: 178948*n - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7440846748?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -756 + 757. Let t(k) = -k**3 - 3*k**2 + 2*k. Let u be t(-4). Suppose 0 = -3*r + u*r - 15. Is r <= h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) be the first derivative of -5*w**8\/1344 - w**7\/42 - w**6\/24 + 35*w**2\/2 - 50. Let g(d) be the second derivative of c(d). Factor g(b).\nAnswer: -5*b**3*(b + 2)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 12\/(96\/168 - (-36185)\/(-63350))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -24 + 24.021. Let x = -3.021 + m. What is the closest to -0.1 in x, -2\/13, 6\/5?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is z in 72*z**3 + 52*z**2 - 20*z = 0?\nAnswer: -1, 0, 5\/18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3321224 (base 5) to base 14.\nAnswer: 17049","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -2815821 (base 9) in base 6?\nAnswer: -53050031","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 24*g**3 - 16*g**2 + 29*g. What is the remainder when j(2) is divided by 77?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 25, -2, -82 in descending order.\nAnswer: 25, -2, -82","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 3 - 3 + i - 1. Let t = -34 - -23. Let h(o) be the first derivative of 3*o**2 - 6*o + 2. Calculate t*w(u) + 2*h(u).\nAnswer: u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10142.\nAnswer: 2, 11, 461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3290953*j**3 + 1096986*j**3 + 1096984*j**3 + 1096980*j**3.\nAnswer: -3*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 133 (base 13) to base 5\nAnswer: 1321","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 851 - -6975?\nAnswer: 7826","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.02, 58514, 1 in increasing order.\nAnswer: -0.02, 1, 58514","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 79*n - 6*n = -1022 for n.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 162 divided by 3803545\nAnswer: 162\/3803545","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v = -2*r + 2487, 4*v + 491 = 5*v + 2*r. List the prime factors of v.\nAnswer: 499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 29\/2 + -14. Let o = 3 - 7. Let v = 288 - 287.6. Which is the closest to 0.1? (a) v (b) p (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 44 a factor of 21692?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = y**2 + 2*y + 9. Calculate the remainder when j(6) is divided by 29.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -525 by -35.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 134475, 268952, 403429?\n\"Answer: 134477*a - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 6 divided by -35687\nAnswer: -6\/35687","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.44 times -119.52?\nAnswer: -291.6288","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*w - 2*w - 2*w)*(-54*w - 154 + 154).\nAnswer: -162*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qdq when three letters picked without replacement from {q: 2, g: 2, d: 2}.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -o**3 + 3*o**2 + 9*o - 4. Let c be n(4). Let a = -8 + c. Factor y**3 + 0*y**3 - a*y**3 + 2*y**3 + 5*y.\nAnswer: -5*y*(y - 1)*(y + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 3 = 5. Find the second derivative of -2*o**5 - 3*o**5 + o**5 - o - i*o wrt o.\nAnswer: -80*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3616\/28 + 1\/(-7). Let q = -111 + u. Calculate the remainder when 47 is divided by q.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 31034032 (base 5) in base 3?\nAnswer: 110211012212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2947, -2942, -2937, -2932, -2927?\nAnswer: -2922","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 5.0594 or -0.1?\nAnswer: 5.0594","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17674210 is divided by 38?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 12*p + 44. Let g(s) = 7*s + 25. Let r(y) = -4*a(y) + 7*g(y). Let b(v) = -6*v**3 - v - 2. Give b(m) + r(m).\nAnswer: -6*m**3 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 6143 - 6140. What is the closest to 2 in 4\/7, y, -1\/5, 10?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 534351.\nAnswer: 3, 178117","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/(-1))\/((-4)\/(-11 - 1))\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -a - 2, -2*h - a - 242 = -5*h. Calculate the highest common factor of 32 and h.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 803 - 803 + 0*k - 4*k.\nAnswer: -4*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -b**2 - 8*b - 9. Let j be w(-6). Suppose -j*f - 9 = 5*n, 2*f + 15 = n - 3*f. Suppose p - 16 = -n*p. What are the prime factors of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -84\/13, 15\/2, 19, 4, 150 in ascending order.\nAnswer: -84\/13, 4, 15\/2, 19, 150","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -125 = -l + 155. Suppose -4*j - l = -6*j. Suppose 17*v - j = 12*v. Is 4 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -15*q - 145. Let m be t(-10). Suppose -17*r + m*r = -17520. What is r rounded to the nearest ten thousand?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -29 in 26, 2\/25, -1\/12, 0.3?\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (12\/(-20))\/(9\/6)*300\/(-12). Solve 5*h - 40 = -6*l + s*l, 22 = -2*l + 3*h for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let 5*m**5 + 18728905*m**4 - 149831480*m**3 + 299663120*m**2 = 0. Calculate m.\nAnswer: -3745789, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t = -4*h - 22, -3*t - h - h = 14 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 9*g + 4*g**2 - 9*g + (-g - 1 + 1)*(8*g - 10*g - 12*g).\nAnswer: 18*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -2*q. Let a(g) = 30*g + 33*g + 32*g - 123*g + 27*g. Suppose -6*b = -b - 25. Let d(y) = b*a(y) - 3*i(y). Let j(v) = 11*v. Determine d(j(n)).\nAnswer: 11*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 53\/18 and -125\/36?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5 + 8. Suppose -22 - 44 = -2*l - q*f, -3*l - 4*f = -98. Is 5 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 45881383, 45881379, 45881373, 45881365, 45881355, 45881343?\n\"Answer: -d**2 - d + 45881385","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 64*c - 43*c = 315. Suppose 0 = -3*h - h + 24. Find the third derivative of -5*t**5 + c*t**2 - 14*t**5 + h*t**2 wrt t.\nAnswer: -1140*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -5, -4, -0.027, -76, -12\/11?\nAnswer: -12\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (4 - 1)*(0 + (-3)\/(-9))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1217283 and 908037?\nAnswer: 597","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d**2\/6 + 211*d - 133563\/2 = 0.\nAnswer: 633","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -2*h**2 + 5*h + 5. Let d(a) = a + 1. Let i = 16 + -23. Let m = -2 - i. Determine m*d(u) - b(u).\nAnswer: 2*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1053 and 936?\nAnswer: 8424","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -13*d**2 + 9*d**4 + 2*d - 7*d**4 + 11*d**2 to p*d**2 + i*d + v*d**4 + j*d**3 + q and give i.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1\/48324 - -144995\/1111452. Let p(g) = g**3 - 3*g**2 + 1. Let m be p(3). Which is smaller: o or m?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 173783204?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1 + 2. Let s = z + 2. Let q(g) = 2*g - 3. What is q(s)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.4 * -9.\nAnswer: -3.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(162) + 2 + sqrt(162) + -5 + (sqrt(2) + (sqrt(2) - sqrt(6)\/sqrt(3)))*-3*6.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = -f - 2*f + 9, 0 = -4*f - a + 15. Find the first derivative of -2*z**2 + 6*z**2 + 0*z**2 - 2*z**2 - f wrt z.\nAnswer: 4*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41*h - 50*h = -90. Suppose -5*n = 100 - 300. Calculate the highest common divisor of n and h.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1 + 16. Let f = -14.6 + t. Suppose 0 = -s - 2*y - 1 - 0, 0 = -s - 3*y - 1. What is the second biggest value in s, f, 14?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 449*p - 12126. Give k(27).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3190 and 220?\nAnswer: 6380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 41 - 6*a**2 + 27 - 2*a + 7*a**2. Calculate the remainder when h(0) is divided by 24.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) be the second derivative of 0*s**2 + s - 1\/39*s**3 + 1\/39*s**4 + 0 - 1\/130*s**5. Determine x so that r(x) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 49*a - 15 - 132. Calculate the highest common divisor of a and 25.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 231423 (base 6) to base 8\nAnswer: 46547","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + -3*sqrt(125) - (0 + sqrt(125) + 2))**2 - (((sqrt(125) + 0 - sqrt(125)) + -5)*4)**2.\nAnswer: -120*sqrt(5) + 1609","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 771932?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -43 - -42.934. Let o = w + 4.066. What is the third smallest value in 0, -1, -5, o?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 183 + -118. What is the units digit of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 321498 to the nearest integer?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 101 = 65. Let n = 36 - r. Find the second derivative of -6*s + 27*s**2 + 32*s**2 - 95*s**2 + n*s**2 wrt s.\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) be the second derivative of 0 + 1\/12*x**4 - 7\/6*x**3 + 0*x**2 + 22*x. Calculate n(8).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -146*o - 738026 = -724740 for o.\nAnswer: -91","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 51 - 54. Sort 2, d, -4.\nAnswer: -4, d, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 4*a = -0*a + 4, 2*m - a = -4. Let c = m + 3. Let t = -92 + 92. Which is smaller: c or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*h - 281 = -371 for h.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 8) to base 12\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5 (base 10) to base 12.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -612, -1238, -1866, -2496?\nAnswer: -3128","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1.981 - 0.019. Which is the third biggest value? (a) 1 (b) p (c) 0.3 (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 37643?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4905 = 705*v - 690*v. What is the remainder when v is divided by 34?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = z - 15. Calculate t(6).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35 = -3*u + 5*x, 0*x + 5*x = -3*u + 55. Let s(m) = -25*m + 2*m - u*m + m. Let f(c) = 2*c. Give f(s(a)).\nAnswer: -74*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 13 + -14. Let u(c) = c**2 - 3*c - 1. Let m be u(4). Let f = p + m. Put 3, 5, f in ascending order.\nAnswer: f, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -46 - -25. Let f = x + 28. Suppose 2*z = 2*b + 124, f*z + b = 6*z + 68. What is the remainder when z is divided by 22?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cvcxrkr. What is prob of sequence krrc?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = a**3 + 5*a**2 - 6*a + 2. Let n be j(-6). Suppose 3*k - n = -5. Let q = 9 + k. List the prime factors of q.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-12)\/8*-1*(-4)\/(-16)\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(-2)*l*l)\/l*l**(-2\/3))**(1\/15)*(l\/l**(-2\/5))**(11\/6)\/((l*l*l**(6\/5))\/l**(1\/4)) assuming l is positive.\nAnswer: l**(-89\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 821*x = 1063*x + 353*x + 66045 for x.\nAnswer: -111","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/((n*n\/(n**(1\/3)\/n))\/n*n))**15\/(n**4*((n\/(n\/n**0))\/n)\/n*n))**(1\/3) assuming n is positive.\nAnswer: n**(-28\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -24 - -41. Suppose -2*b - 1 - m = 0. Let x = -8 - b. What is the units digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 1, b: 1, o: 1, g: 1, n: 2, p: 1}. Give prob of picking 1 p and 1 o.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -152517 - -3?\nAnswer: -152514","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 - 1 - 3)*(-j**4 + 0*j**4 + 0*j**4) + 3*j**4 + 0*j**4 - 4*j**4 + 4*j**4 - 4*j**4 + j**4 + (5 - 2 + 0*j**2 - 2*j**2)*(0 - 3*j + 0)*(3*j + 2 - 2).\nAnswer: 16*j**4 - 27*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 4095071 a multiple of 771?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r - 18*r - 21*r - 685 = -3405 for r.\nAnswer: 68","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1830 and 75?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Determine g, given that g**5 + 7005*g**4 + 21007*g**3 + 6999*g**2 - 21008*g - 14004 = 0.\nAnswer: -7002, -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 97*i - 4 = 95*i. Factor 2\/3*p - 2\/3*p**3 - 1\/3*p**4 + 1\/3 + 0*p**i.\nAnswer: -(p - 1)*(p + 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*n**3 + 2*n**3 + 3*n**3)*(5 - 1 - 2)*(4 - 3 - 4).\nAnswer: 6*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s and 1 w when three letters picked without replacement from {w: 3, s: 7}?\nAnswer: 21\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1160?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -24*j + 27. Let b be c(1). Put 1.7, 1, b in increasing order.\nAnswer: 1, 1.7, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0012415809 to two decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -639 * -63\nAnswer: 40257","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/5 in 2\/11, -2, -0.4, 2\/5?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.0869289051162 + -206289.7930562948838. Let z = -206290.3 - h. Let y = -0.42 - z. Round y to six dps.\nAnswer: 0.000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or 1\/1003?\nAnswer: 1\/1003","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 - 97442*m**3 + 3*m**2 + 2 + 105*m + 97441*m**3 as y*m**2 + d + l*m**3 + c*m and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12176 is divided by 612.\nAnswer: 548","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -54528\/13 at most -4195?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*n - 2*n + 2*n)*((n**2 - 2 + 2)*(-4*n - n + 3*n) - 3*n**3 + 3*n**3 + 4*n**3).\nAnswer: -4*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2 (b) 1 (c) -19 (d) 0 (e) 4 (f) -6.74\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 1\/9 of a day?\nAnswer: 9600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -36*(-28)\/(-8232)*(-28)\/6.\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.594095 decades to millennia.\nAnswer: 0.00594095","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 22771 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 364 + 151048?\nAnswer: 151412","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/6 less than or equal to 29?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -3, 0.03, -1\/4, 156803\/5?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) be the third derivative of 0*i + 1\/24*i**4 - 1\/2*i**3 + 0 + 2*i**2. Let w be f(6). Solve 0 = -4*b + y + 14, -w*y + 6 = -b + 2*y for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 36*n**2 + 2*n - 2. Let z be d(1). Calculate the greatest common divisor of 324 and z.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 16*a**2 + 18290. Let i(z) = -10*z. Calculate h(i(q)).\nAnswer: 1600*q**2 + 18290","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -4*g + 34. Let r be o(8). Solve -4*h = y + h + 12, 2*y = 3*h + r for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/4 smaller than -127?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11545080 divided by 25944.\nAnswer: 445","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + sqrt(272) + sqrt(17) + sqrt(17) - (-3 + sqrt(68)))**2.\nAnswer: -8*sqrt(17) + 273","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1112220 + -2?\nAnswer: 1112213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 233*i + 277. Does 3 divide o(6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**1)**(2\/7)\/(c**(2\/7))**(20\/3) assuming c is positive.\nAnswer: c**(-34\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 104 minutes after 4:10 AM?\nAnswer: 5:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = -3*n - 5*b - 13, -2 = -4*n - 2*b. Let q(r) = -r - 2. Let i(d) = 3*d**2 - 15*d + 30. Let l(h) = n*q(h) + i(h). Factor l(p).\nAnswer: 3*(p - 4)*(p - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 114 and 181203?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -89 (b) -1 (c) 1\/5 (d) 401\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + 2*v)*(5967 + 54*v - 5967)*(6 - 2 + 2 + (1 + 4 - 4)*(4 - 3 - 3) - 4 + 3 + 6).\nAnswer: 972*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -2*z**3 + 189*z**2 + 88*z + 1686. List the prime factors of l(92).\nAnswer: 2, 109, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 10702, 10710, 10718, 10726?\n\"Answer: 8*u + 10694","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -c**2 - 4*c + 9. Let h be m(3). Does 38 divide -1 - (4\/h)\/((-3)\/(-1719))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -7.8 * -0.327858.\nAnswer: 2.5572924","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100001 + -10?\nAnswer: -100011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -960, -957, -954, -951, -948, -945?\nAnswer: -942","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by -2.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*c + 3*c - 2*c)*(-2*c + 2*c + c) + (0*c - c - c)*(c + 2*c - c) - 2*c**2 + 4*c**2 - 3*c**2 - 2*c**2 + 2*c**2 + c**2 - c**2 + 2*c**2 + 0*c**2.\nAnswer: 2*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - 24) + 4 + (10 - 2) - -6.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -2*h - 16. Let o be f(-13). Let k be (-1 - -2) + o\/(-5). Which is the fourth biggest value? (a) 1 (b) -3 (c) 5 (d) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9752556?\nAnswer: 2, 3, 11, 73883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 835566?\nAnswer: 2, 3, 47, 2963","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in thirty-three fifths of a gram?\nAnswer: 6600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -10 + 16. Suppose -2*p = 4*y, o*y + 9 = -4*p + y. Is ((-4)\/p)\/(4\/114) a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 144472973 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -25 - (36 - (26 - -4)).\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 478195.\nAnswer: 5, 59, 1621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 3232421 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 443633 is divided by 49291?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 1, d: 4, a: 2, z: 1, j: 1}. Give prob of sequence gj.\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -1074875 at most as big as -17198015\/16?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 333?\nAnswer: 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1978 and 136568.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) be the second derivative of -5*v**4\/4 + 3*v**3\/2 - 4*v. What is the second derivative of c(w) wrt w?\nAnswer: -30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(4\/5)*w**6*(w**(-1))**(-11) assuming w is positive.\nAnswer: w**(89\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 250 minutes after 5:23 PM?\nAnswer: 9:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 54614?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 13461, 26275, 39091, 51909?\nAnswer: 64729","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 + q**4 - 1 + (2*q + 0*q - 3*q)*(3*q**3 + q**2 - q**2) + 2*q**4 + 0*q**4 - q**4 in the form n*q**3 + f + i*q + s*q**2 + o*q**4 and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -14*j + 2*j + 60 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 12*u - 17. Is 25 a factor of a(11)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 40404, 41888, 43372, 44856, 46340?\nAnswer: 47824","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 19 = 17. Suppose -2*b + 3*b - y = -4*z, 2*z = 3*b + 6. Solve 8*p + 5 = z*p for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12179*m + 453386 = 1232842 for m.\nAnswer: 64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -71\/272 and 71\/28.\nAnswer: 1904","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = b + 10*b. Let p be ((-2)\/4)\/((-2)\/(-4)). Let u be (p\/(-3))\/((-2)\/(-8)). What is the biggest value in -2\/13, b, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -164628 - 9.1\nAnswer: -164637.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2200 - 2206. Which is the fifth smallest value? (a) -1\/11 (b) 4 (c) -1 (d) y (e) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 2*t**2 - 4*t. Let w = 13 + 1. Let a = w + -8. Let j(n) be the third derivative of -n**5\/30 + 5*n**4\/24 - 2*n**2. Give a*z(k) + 5*j(k).\nAnswer: 2*k**2 + k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 - 2605199.33\nAnswer: -2605198.83","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 1, g: 1, f: 1, h: 1, p: 1}. What is prob of picking 1 f and 1 h?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 505958 and 300.\nAnswer: 75893700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 51 divide 22373?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 4\/3 of a minute?\nAnswer: 80","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -885*s - 68. Let n be t(-1). Let f = n - 777. Calculate the remainder when 145 is divided by f.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 3*i**2 + 9*i + 10. Let x be a(-5). Suppose 5*b - x - 81 = -3*j, 3*j + 4*b = 119. Let k(u) = 31*u - j*u + 20*u. Determine k(2).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -142*w - 60330 = -59052 for w.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) 2\/7 (b) -0.1 (c) 141\/43\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -7.842240085 + -0.209?\nAnswer: -8.051240085","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 + 9 + -7 - (-4 + 10).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 63193 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*c - c + 0*c to d + v*c and give v.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 3 - 3)*(c + 0 + 4 + 3*c).\nAnswer: -32*c - 32","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1951.\nAnswer: 1951","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1577 + 1481 = -12*k for k.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b1 (base 12) to base 5\nAnswer: 1013","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -6*i**2 - 272*i + 521. What is o(-45)?\nAnswer: 611","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -64001.9940251 - -64002. Round a to 4 dps.\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (26 - (-25 - -51)) + -4.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:29 PM and 12:18 AM?\nAnswer: 589","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 54 - 53. Let m be (52\/(-91))\/(3\/(-7) - w). Suppose 3*n + 2*s + 0*s = 3, -5*n = -s - 5. Which is the third biggest value? (a) m (b) 1\/2 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from otoytrwylotyyo. What is prob of picking 1 t, 1 w, 1 o, and 1 r?\nAnswer: 12\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 z when four letters picked without replacement from zzzzzqqz?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 4045 times 0.1\nAnswer: 404.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*v - 1 + 89*v**2 - 89*v**2 + 87*v**3 in the form s*v**3 + m*v + q*v**2 + k and give s.\nAnswer: 87","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 3*k**3 + 6*k**2 + k + 2. Let g be v(-2). Suppose 3*o + 3*u = 21, -o + 3*o = 5*u. Sort o, 1, g in increasing order.\nAnswer: g, 1, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 277 minutes after 3:50 PM?\nAnswer: 8:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 2022365 to the power of 1\/5, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-1 - 1 + 3)*(2*n - 2 + 2) - 5*n + 2*n + 4*n - 32*n - 66*n - 13*n)*(3*n**3 - 2*n**3 + n**3) as r*n**2 + k + q*n**3 + a*n + d*n**4 and give d.\nAnswer: -216","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-11 - 0) + (26 - 24) - 3?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 312 = 9*l. Let s = 1047\/260 + -41\/26. What is the common denominator of s and (-1)\/(-9)*-250*6\/l?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 27610 is divided by 117.\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -57*o + 341. Let z = 10849 - 10843. Determine g(z).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14791 (base 10) in base 13?\nAnswer: 696a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2270.164 centuries in decades?\nAnswer: 22701.64","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1a + -876c05?\nAnswer: -876c22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: ((-10)\/(-14))\/(2252345\/49658)\nAnswer: 2\/127","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1011 (base 2) to base 13.\nAnswer: b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p = 2*f - 8, -5*f = -4*p + 22 - 6 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 540759 and 21359.\nAnswer: 217925877","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 120 - (106 - 54) - 26\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.0387 + 0.1983. What is c rounded to 1 decimal place?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (9 - -1) + 17 + 4495\/(-174)\nAnswer: 7\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -23060 - 2232?\nAnswer: -25302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = x**2 + 440*x + 17. Determine w(0).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -12.1 - -11. Let n = 0.8 + c. Let k = -0.2779 + 0.5779. What is the second biggest value in 0.01, 2\/11, n, k?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28*a + 1968 - 159*a - 1968.\nAnswer: -187*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + x + 0*x = -20, -q + 2*x + 5 = 0. Suppose -q = 2*y - 9. Suppose -y*h = -22 + 14. What is the units digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -11129452 by 75.\nAnswer: -11129452\/75","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 plus -21999547?\nAnswer: -21999546.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*s + 5*n + 75, -n = -6*n - 15. Suppose 4*i = i + s. Let b be (-45)\/9*(-14)\/595. What is the second biggest value in b, 0.2, 3, i?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*h = -2*h - 25, 100 = 5*m + 3*h. Is 5 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wtttyqgqywtqqtqqutq. What is prob of sequence twgq?\nAnswer: 7\/7752","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -r + 1. Suppose -3 = 2*v - 15. Let z(x) = -4*x + 6. Give v*o(h) - z(h).\nAnswer: -2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -2*r + 69. Let s be b(25). Suppose 0 = -58*i + s*i + 468. What is the greatest common divisor of i and 69?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -4 - 127?\nAnswer: -133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.984 - 1. Let a = n + -0.982. Let j = -1 - a. Round j to 2 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 23 - 6. Let c = n - 20. Let j = -743 + 743.021. Sort j, c, -5 in descending order.\nAnswer: j, c, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3023 (base 4) to base 9\nAnswer: 245","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-4438 - 0)\/(-7) + 3?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6920?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 19 + 7. Suppose -2*r + 3*r - 10 = -d, -d - 5*r = -p. Solve -4*c = -c - d for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 11843556 and 168?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 33151?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -53*p - 1788 = -52*p - 127*p - 23*p for p.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) be the second derivative of 0*z**5 - 1\/6*z**4 + 2\/15*z**6 + 0 - 3*z + 0*z**2 + 0*z**3. What is the third derivative of a(y) wrt y?\nAnswer: 96*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17867797 is divided by 152?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 75257103?\nAnswer: 3, 61, 411241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -63 = -32*f + 513. Let t = 8 + 12. What is the lowest common multiple of f and t?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from acpapaacawocpp. Give prob of sequence ccao.\nAnswer: 5\/4004","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 276 divided by -1\nAnswer: -276","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 822209321?\nAnswer: 43, 19121147","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 145.57 rounded to the nearest ten?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 2*x + 5. Suppose 6*k = 7*k - 5. Let p(u) = 159*u**2 - 9 - 158*u**2 - 16*u - k. Let r be p(17). Let l(f) = -2*f - 6. What is r*s(t) + 2*l(t)?\nAnswer: 2*t + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = y**3 - 3*y**2 - 4. Let l = 24 + -20. What are the prime factors of b(l)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 260*k - 863*k = -1206 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (1 + 2)*120\/(-90). Which is the closest to -1? (a) -0.2 (b) -0.07 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1232032 (base 4) in base 5?\nAnswer: 211204","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i - 1 = f - 39, 4*f - 5*i - 236 = 0. Let w be 4\/(16\/33 + (-26)\/(-143)). What is the highest common divisor of f and w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 4*h**3 + 251*h**2 + 186*h - 7. Determine m(-62).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*h**4 + 27*h**3 - 12*h**2 - 108*h + 96 = 0. Calculate h.\nAnswer: -2, 1, 2, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -15990*o**3 - 133161*o**2.\nAnswer: -95940","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by 4123522?\nAnswer: 2\/2061761","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1701110 = 37*f - 50*f + 757671. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -55*d**2*v**3 - 586469*d**2*v**2 - 9*d*v**3 + d - 26*v**3 - 3*v**2 - 1 wrt v?\nAnswer: -330*d**2 - 54*d - 156","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 516592?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.076525 to two dps.\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(((sqrt(130) - (sqrt(130)*2 - sqrt(130)))\/sqrt(10) + -2 + -3)**2 + 2).\nAnswer: -108","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1510 is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 122 is divided by (-3075)\/(-99) + 6\/(-99)?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -3*k + 13. Let s be m(6). Let x(r) = 2*r + 11. Let i be x(s). Is -2\/31 greater than or equal to i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o = 2, 5*g + o = -4*o - 35 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 896 and 763?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 69 and 322?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-125)\/(-15) - 2*(-1)\/(-6). Solve -2*q = 2*j + 14, -5*j + l*q - 3*q + 5 = 0 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 657497469 to the nearest integer?\nAnswer: 870","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g**5\/6 - 35*g**4\/6 + 5*g**3\/3 + 115*g**2\/3 - 325*g\/6 + 125\/6 = 0. Calculate g.\nAnswer: -5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 229 - 122.8. Let a = 67.41 + 34.46. Let t = p - a. What is t rounded to 1 decimal place?\nAnswer: 4.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 4*j = 177. Let c = j + -56. Calculate the least common multiple of 3 and c.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 42 and 882.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 4, s: 2}. What is prob of picking 4 m?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -127 + 286. Suppose -t = -2*l + 603. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 4 (b) -0.5 (c) 0.4 (d) -34\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 26740892 a multiple of 276?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.3 or 1\/31?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 7*u**2 + 3*u**2 - 6*u**2 + 7*u**2. Suppose 0*m + 192 = 4*m - 3*g, 4*g = 5*m - 239. Let f(w) = -w**2 + 51 - m. Determine f(s(h)).\nAnswer: -121*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 94347221 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -16 - -20. Solve 4*k - 16 = 4*j, -x*j = j - k + 24 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = m**3 - 19*m**2 + 103*m - 125. What is v(9)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/4)\/((-58)\/928)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(56) + sqrt(56) + (sqrt(56) - (2*sqrt(616))\/sqrt(11)))\/sqrt(7))\/(sqrt(32)\/(2*sqrt(8)*-3)).\nAnswer: -6*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -223 - 362 = -3*c - 3*o, -2*o = c - 195. Calculate the highest common divisor of 15 and c.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-13)\/(-26))\/(1\/2). Let u = 28 + -29. Let z be 11 - 8 - (u - -2). Solve s + w = -z for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/(g**(5\/2)\/g))**(-26) assuming g is positive.\nAnswer: g**13","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 131.29 - 133. Let d = -1.66 - t. Which is the closest to -0.1? (a) 3 (b) -3 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) be the first derivative of -2*u**3\/3 + 155*u - 6. What is the hundreds digit of j(0)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2196\/(-36))\/(13*(-8)\/(-104))?\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -s**3 - 14*s**2 - 18*s - 12. Let z(r) = -r**2 + 2*r - 5. Let t be z(4). Let h be l(t). Is (-5)\/(-3)*(h + -2) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -87\/1983170 and 97\/5166.\nAnswer: 17848530","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -23081163814809 and 0.3?\nAnswer: 23081163814809.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 2 + 0*w**3 - 2*w**2 + w**2 + 2*w + w**3 - w. Let y be f(2). Let c(r) = -r + 14. What is the units digit of c(y)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 2, u: 1, e: 2, b: 1, x: 1, t: 2}. Give prob of picking 1 u, 1 q, and 2 x.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3610?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand q - q**4 - q + ((2*q - 2*q - q**2)*(-2 - 3 + 3) + 0*q**2 + 2*q**2 - 3*q**2)*(4*q**2 + 2*q**2 + 0*q**2).\nAnswer: 5*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + 0 - ((-11 - 7 - -13) + 1).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*l**3 - 3*l**3 + 5*l**3 + (-4*l**2 - 4*l + 4*l)*(0*l + 2*l - 4*l).\nAnswer: 12*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 1613*g - 1 + 1 + 2 - 1622*g. Let h(v) be the first derivative of -9*v**2\/2 + 3*v - 16. Determine 2*h(a) - 3*w(a).\nAnswer: 9*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 911321 a multiple of 1746?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 356 + -359. Which is the third smallest value? (a) m (b) -2\/3 (c) 3\/2 (d) -2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1.13956 times 0.1\nAnswer: -0.113956","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 10.8199 to the nearest integer.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -203 + 209. Suppose -3*u**2 - f*u**4 - 38777 + 38777 - 6*u + 15*u**3 = 0. Calculate u.\nAnswer: -1\/2, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:17 PM and 9:03 AM?\nAnswer: 646","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + sqrt(343) + -1 + -2.\nAnswer: -6 + 7*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.087 at most as big as 15221\/343?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 5*q**3 - q - 3. Let r be c(2). List the prime factors of ((-28)\/r)\/(-2 - 148\/(-75)).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -409 + 616. Is x a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 19\/14 and 17\/13.\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 + 32 - (29 + (-3 - 6))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -13341, -26634, -39927?\nAnswer: -53220","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -7*u - 9. Calculate z(-7).\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 - 8\/(64\/(-20))?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -7 - 12. Let s = 15 + j. Put s, 2\/13, 2 in increasing order.\nAnswer: s, 2\/13, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18\/(-60 - (-594 + 3))?\nAnswer: 2\/59","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 59 divide 2158220?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (9 - 9 + 3*c)*(4*c**3 - 2*c**3 + c**3 + (4*c - 3*c - 3*c)*(c**2 - c**2 + 2*c**2)) in the form g*c**2 + o*c**4 + w + k*c**3 + d*c and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u - 208 = -7*u. List the prime factors of u.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 9\/10 of a kilometer?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -22974, -3, 2 in decreasing order.\nAnswer: 2, -3, -22974","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2253*u + 21931 = 174089 + 11674 + 77239 for u.\nAnswer: 107","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 21513961?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 3\/(-6)*336\/(-4). Let j = b - 2. Is 20 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.2 and -67.\nAnswer: 13.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (881\/(-9) - -3) + ((-1520)\/180)\/76.\nAnswer: -95","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*q + 2*q + 2*q)*(83 - 6 + 4)*(0 + 2*q + 0) in the form u + s*q**2 + f*q and give s.\nAnswer: 162","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2*-8*6\/96*2\/38.\nAnswer: -1\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 1 + 2)*(2*q**2 - 2*q**2 - q**2)*(q + 7 - 7) in the form r + z*q**3 + p*q + c*q**2 and give z.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 47*p - 44*p = 6. Let v(m) = 9*m + p - 2 - 8*m - 3. What is v(7)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-2 + 4 + 0 + 8)*2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -4, -27, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -42\/11231 and 28\/8630513.\nAnswer: 94935643","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 3*s - 10. Let l be 1\/(6\/9) + (-1)\/(-2). Let f be (21\/6 + -3)*0 + l. Solve 28 = -2*h - s*p + f, -3*h - 4*p = 29 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -74 + 135. Let r(p) = 0 - 59*p + 16*p**2 + u*p - 4. List the prime factors of r(-3).\nAnswer: 2, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 6*p - 4*p + 5 - 2*p - 42 - 3*p. Calculate m(-11).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2\/(-5)*(-10)\/7. Let r = 1022728 + -1022728.1. Which is the third biggest value? (a) r (b) x (c) 1.58\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 213 is divided by (7\/(-28))\/((-15)\/1620)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (10*r**3 + 5*r**3 - r**3)*(2*r + 2*r - 6*r + (2*r - 3*r - r)*(-3 + 19 - 3) - 5*r - r + r) in the form a*r**3 + n + u*r**4 + x*r + z*r**2 and give u.\nAnswer: -462","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or -17680\/23839?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3946, 3938, 3920, 3886, 3830, 3746, 3628?\nAnswer: 3470","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 17001683273 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) be the first derivative of n**6 - 86*n**5\/5 + 4*n**3\/3 + 55*n**2 - 422. What is the third derivative of c(s) wrt s?\nAnswer: 360*s**2 - 2064*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 5 (b) 0.1 (c) 6 (d) 9\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17996 is divided by 26.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 greater than -38702?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -z**3 + 212*z**2 - 4721*z + 8602.\nAnswer: -(z - 187)*(z - 23)*(z - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -76327 in 5, -0.33, -2\/13?\nAnswer: -0.33","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 9 - 16. What is the smallest common multiple of ((-480)\/(-108))\/(6\/27) and (-6)\/(-21) - 124\/g?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 2602.454 and -13215.\nAnswer: -10612.546","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 17617 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -7*z - 2 - 1 + 23*z**2 + 1 + 3. Let x(o) = 8*o**2 - 2*o. Let s(p) = 6*l(p) - 17*x(p). Solve s(c) = 0.\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = a**3 - 5*a**2 - 2*a + 1. Suppose 2*b + 4*n = 20, -4*b - 5*n + 37 = 2*n. Determine s(b).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yyyffyyyfyyyyyfyyfy. Give prob of sequence yfyy.\nAnswer: 455\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -m. Let b be s(-1). Suppose -1 = 2*x - n - 5, 0 = -5*x + 4*n + 10. Let r be (7\/42)\/(x\/6). What is the closest to 1 in r, b, 2?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find n, given that -2*n**3\/7 - 20*n**2\/7 + 638*n\/7 - 400 = 0.\nAnswer: -25, 7, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 126483\/8559 - 4\/(-18).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express 31*b + 37*b - 192*b + 124*b + 5847*b**2 as i + o*b**2 + m*b and give o.\nAnswer: 5847","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7067 is divided by 57?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1.2 and -544.04?\nAnswer: -652.848","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pqpqifiqqmqpumqqi. Give prob of sequence qpp.\nAnswer: 7\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 1 = -0. Let c(v) = 2 - 1 - a + v. Let k(b) = -1. Let p(d) = 5*d - 4. Let t(y) = 4*k(y) - p(y). What is c(t(f))?\nAnswer: -5*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18*c + 3*c - 17 - 25 + 42.\nAnswer: 21*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 47416\/3 + -15805. Which is the nearest to d? (a) 12\/7 (b) 0.3 (c) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 39 divide 140135736?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*f - m + 4 = -0*f, 4*m + 8 = -4*f for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2)\/(-4) - (-606)\/12. Let h = -18 + 54. Let s = 70 - h. Calculate the greatest common divisor of x and s.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 1 d when two letters picked without replacement from {l: 2, p: 1, b: 2, q: 6, e: 7, d: 1}.\nAnswer: 7\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(156) - -3*sqrt(156))\/sqrt(12) + sqrt(13) + (-1 + sqrt(13))**2 + -4.\nAnswer: 10 + 3*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1\/6, 10310, 8, 2?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4569.1011ns to hours.\nAnswer: 0.00000000126919475","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 4 (b) -1\/105 (c) -3 (d) -2 (e) -22 (f) 3\/20\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -802238734 minus -5.695?\nAnswer: -802238728.305","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.4 (b) 2 (c) -3 (d) 4 (e) -299774\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 878, -1, 0 in increasing order.\nAnswer: -1, 0, 878","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 39336 to the power of 1\/3, to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 38*c + 574. What is l(-15)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 8\/90*3\/(-2). Let y = -4 - -8. Which is the second smallest value? (a) p (b) -5 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -5 (b) 8 (c) -27\/1411\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 - 7 = -3*i. Suppose q = -i*y + 12, 4*q - y = y - 2. Suppose -q + 9 = -3*k + 4*j, -1 = -4*k - 5*j. Which is smaller: 2\/3 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -3 (b) 0 (c) -1\/7 (d) 452\/677 (e) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -70 + m + 37 + 34. Let n be (-8)\/(-6)*3\/(-2). Let d be (n\/6)\/((-2)\/(-6)). Let a(v) = -2*v + 1. Determine d*a(s) - j(s).\nAnswer: s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n**5\/3 - 602*n**4\/3 - 41180*n**3\/3 - 39980*n**2\/3 + 41182*n\/3 + 40582\/3 = 0 for n.\nAnswer: -197, -103, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 10889233283 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 187212 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -3*u + 1. Let l be n(-1). Suppose 0 = l*k - 4*h - 52, -3*k + 7*h = 2*h - 45. Suppose k*g - 25 = 5*g. Let f(y) = y**3 - 6*y**2 + 2*y + 7. Give f(g).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14\/8 + (-7)\/(140\/15)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 3252, 6444, 9574, 12636, 15624, 18532, 21354, 24084?\n\"Answer: -t**3 - 25*t**2 + 3274*t + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 5 + -21260466?\nAnswer: -21260461","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -8*s + 4. Give a(12).\nAnswer: -92","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -591 - 6*r**3 + 296 + 294. Let p(d) = -3 + 4*d**3 + 4 + 3*d**3. What is 5*j(q) + 4*p(q)?\nAnswer: -2*q**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 8494224 and 25482672.\nAnswer: 25482672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -6 - -9. Let n(o) = -o + 3. Let l(d) = -4. Give r*n(k) + 2*l(k).\nAnswer: -3*k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 28*k**2 + 9988*k - 2856.\nAnswer: 4*(k + 357)*(7*k - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1.5 + 1. Let s = -16\/27 - 110\/27. Let q = s + 103\/24. What is the nearest to -1\/3 in q, -4\/7, y?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*r - k - 16, 2*k = 5*r + 38 - 5. Let w = 10 + r. Solve -w*u - 1 = -26 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.2 (b) -1 (c) 4\/69 (d) 12.9 (e) -44\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 10710, 10711, 10712?\n\"Answer: k + 10709","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 12601.987546 rounded to 1 decimal place?\nAnswer: 12602","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:57 PM and 1:29 AM?\nAnswer: 692","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 4*b**2. Suppose -21 = -9*z + 4*z - g, -z = -5*g + 1. Suppose -4*y - 12 = -3*m, 4*m = 2*m - 2*y + 8. Let w(q) = -z*q - m*q + 4*q. Give c(w(n)).\nAnswer: 64*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*g + 9 = 3*g. Let h(n) = -n. Let t be h(g). Let q(a) = a**3 - 5*a + 3. Let j be q(t). Solve 5*v = 2*v - 12, j = 3*f - 3*v for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2944*z**3 + 712*z**3 - 782*z**3.\nAnswer: 2874*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -42 - -36. Which is greater: f or 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -6*(-5)\/195 - (-735)\/(-468). Are m and 0 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z = -0*z + 4*n + 72, -2*n - 22 = -z. What is the derivative of -3*k**3 + 42 - 56 + z*k**3 wrt k?\nAnswer: 75*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -5, -2987, -0.07?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 30483*w**2 + 731591*w - 24. Calculate r(-24).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in 4, -4, -3\/7, -20?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*c - 3*c + 2 = -4*p + 54, 3*p + 2*p = 0 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 10 - (16 + -7 + 5)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 33 times 0.16\nAnswer: 5.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c + 5*f - 4470 = 0, 4*c = 5*f + 1471 + 2087. What is the hundreds digit of c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 93.03 - 0.03. Let r = -101 + c. What is the nearest to r in 0, 1, 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 9964 divide 3049149233?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8907338?\nAnswer: 2, 11, 113, 3583","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find f such that -2*f**3\/5 + 6162*f**2\/5 + 6164*f\/5 = 0.\nAnswer: -1, 0, 3082","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 6824 to the nearest one thousand.\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (a - 6*a + 3*a)*(0 + a + 0) + a - a - a**2 + 15752 - a**2 - 15752 + 483*a as j + v*a + b*a**2 and give b.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, -63\/13, -0.06, 0.447.\nAnswer: -9, -63\/13, -0.06, 0.447","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 + 2 + 0)*(-30 + 25) - (-1972)\/391?\nAnswer: 1\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5\/2*1*12\/(-15)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 o when three letters picked without replacement from {o: 6, e: 12}?\nAnswer: 5\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -128, -252, -376?\nAnswer: -500","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -67055147, -67055148, -67055149, -67055150, -67055151, -67055152?\n\"Answer: -m - 67055146","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) be the third derivative of -7*g**6\/120 + 19*g**5\/30 - 2431*g**3\/6 - g**2 - 963. Find the first derivative of d(f) wrt f.\nAnswer: -21*f**2 + 76*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 387*m**2 + 480*m?\nAnswer: 774","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 3034104 + 3?\nAnswer: 3034111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -2*q + 2. Let l = 77 - -94. Let f(d) = 170*d - l*d + 4 - 3. Let o(j) = j**2 + 5*j - 3. Let n be o(-5). What is n*f(z) + 2*w(z)?\nAnswer: -z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*s + 0*s - 2*s**2 + 0*s**2 - 5*s**4 + 2 to the form r + o*s**4 + n*s + a*s**3 + d*s**2 and give o.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-610)\/(-183)*((-132)\/121)\/(-4)?\nAnswer: 10\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Expand -2*m**3 + 18 + 3*m**3 + m**3 + (-2*m - 1 + 1)*(-1 + 2*m**2 + 1).\nAnswer: -2*m**3 + 18","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 210 + 200001?\nAnswer: 200211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*r + 1421 = 1447. Is r != -28\/353?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = f - 3. Let w be t(5). Let h be ((-6)\/(-2) - 5) + 7. Suppose 2*z = h*z - 15. Put -5, w, z in ascending order.\nAnswer: -5, w, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 504\/96 - (7 + 0)?\nAnswer: -7\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-4)\/(-6) + (-1320)\/814 - -1. Is 0 at most as big as c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by -1283?\nAnswer: 3\/1283","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = 3*g - 14. Suppose -2*d = 3*y - 46, y + d - g = -d. Calculate the highest common divisor of 4 and y.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (32*x - 87*x + 32*x)*(2*x**2 - 3*x**2 + 3*x**2)*(4 - 1 - 5)*(-1 + 0 - 1)*(-9 - 3*x + 9 + (-1 + 3 + 0)*(x + 2*x - 5*x) - x + 4*x - x).\nAnswer: 920*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 117 + -164 - (-27 - -2 - -3)?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2773 a multiple of 79?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2560*t + 1359 = 2557*t. Let d = 499 + t. Which is bigger: d or 8?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15676 a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 20061917 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0, 5, -63\/16?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 420 and 9343824.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + 5*(-4*sqrt(13) + -1 + sqrt(13))*5)**2.\nAnswer: 3450*sqrt(13) + 73654","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 343862 is divided by 393.\nAnswer: 380","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = y + 5. Let t(b) be the third derivative of b**3\/6 - b**2. Calculate -g(z) + 3*t(z).\nAnswer: -z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000000516 to 7 dps.\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -304*j - 136. Determine x(0).\nAnswer: -136","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in 3, -5, -0.3, -183?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 9*d - 23. Let i(r) = 26*r - 74. Determine -17*b(y) + 6*i(y).\nAnswer: 3*y - 53","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-7)\/(-14))\/(-6 + -1 + (-20472)\/(-2928))?\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 184994 - 184993.9999893433. What is j rounded to six dps?\nAnswer: 0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 78033857?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -130476400 to the nearest 100000.\nAnswer: -130500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 770600 is divided by 3184?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*o**2 - 2050665*o + 92273850.\nAnswer: 3*(o - 683510)*(o - 45)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000232224 to 6 dps.\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -6, -1, 2\/13, 3\/4, 11?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*z + h = 8*z + 47551, -z = -h - 9521. What is the units digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = r**2 + 6*r - 10. Let m be l(-8). Let z = m - -2. Suppose 3*d - 41 = 1. What is the remainder when d is divided by z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*((4*(-1 + sqrt(392)) - sqrt(392))**2 - (-2 + sqrt(392) - sqrt(392))*4)*-4 + -3.\nAnswer: -14211 + 1344*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) be the third derivative of -w**5\/60 - 31*w**2. Let g(i) = -84*i - 10. Let d(s) = 28*s + 3. Let l(n) = 10*d(n) + 3*g(n). Calculate h(l(k)).\nAnswer: -784*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 11337 - -66?\nAnswer: 11425","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 1283?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -21660570 divided by -2166057\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g = 3*p - 53980, -17519 = 2*p - 4*g - 53519. Let s be 12\/(p\/(-18000) + 1). Round s to the nearest ten thousand.\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 585 minutes before 10:18 PM?\nAnswer: 12:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -21*m. Let a(n) = -4*n**2. Give p(a(w)).\nAnswer: 84*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11022 (base 3) to base 9.\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6352*g**4 - 835*g**4 - 1380*g**4 + (3*g**3 - 3*g**3 + g**3)*(3*g + 0*g - 2*g).\nAnswer: -8566*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -2*o**2 + 7*o + 4. Let g(c) = -c**2 + 3*c + 2. Calculate -2*f(d) + 5*g(d).\nAnswer: -d**2 + d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 820 and 35.\nAnswer: 5740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 32712529 to the power of 1\/7, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -8523800.2 to the nearest 10000.\nAnswer: -8520000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (((-36)\/10)\/(-6))\/(-3). What is the biggest value in 0.2, 2, r?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 36*f - 1575. What is r(29)?\nAnswer: -531","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) be the first derivative of 2*n**3\/3 - n + 3. Let b be z(-1). Do b and -2\/51 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1947)\/(-8496))\/((84\/224)\/(3\/2)).\nAnswer: 11\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 131321810 and 212.\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-88)\/6*-1*3. Let l = o - 66. What are the prime factors of (-4)\/l + 93\/33?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 8, i: 2}. Give prob of sequence iviv.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.4 - -3.4. Let y = -64.1 - -56. Let r = -7.6 - y. Which is the third biggest value? (a) -0.2 (b) r (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 11*t + 3. Suppose 2*l - 52 + 14 = -4*k, 2*l - k = 38. What is the remainder when x(3) is divided by l?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -40368 - -161473\/4. Suppose -1\/4*v**2 + 1\/4*v - 1\/4*v**3 + l = 0. What is v?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 9? (a) -3 (b) -6 (c) 0.9 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 766*x - 413*x - 357*x.\nAnswer: -4*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 9 = 5*n. Let k be 3*n\/(108\/(-16)). What is the closest to 1\/3 in -1, k, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8\/44 + 1624\/385 + -4.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -139\/66 and 83\/99.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2563 (b) -0.1 (c) -0.18 (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + 11 + 2 - 17?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7938459 is divided by 7263?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f**2\/13 + 273070*f\/13 + 136534\/13 = 0 for f.\nAnswer: -68267, -1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -1*4*17\/442*-1?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -2981, -4165, -5349, -6533, -7717, -8901?\n\"Answer: -1184*a - 1797","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3934352177 to the power of 1\/2, to the nearest integer?\nAnswer: 62724","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yyysoyoyoyyyoy. What is prob of picking 2 o and 1 s?\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (3*5\/(-120))\/(0 - 1). Determine m so that 0*m + 0 + 1\/8*m**3 + i*m**4 - 1\/4*m**2 = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((4 - 3 - 2)*(2 + 0 - 4) - 1 - 3 - 6)*(1 + f - 1 + (-2*f + 3*f + 0*f)*(12 + 303 + 253)).\nAnswer: -4552*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -5\/92747689 and -4\/487.\nAnswer: 92747689","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2 + -3275545?\nAnswer: -3275543","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 26, 1, -1 in decreasing order.\nAnswer: 26, 1, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-16)\/28*(-70)\/(-36). Which is smaller: 0 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 27405 and 378?\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 2\/125 of a tonne?\nAnswer: 16000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 35402.\nAnswer: 2, 31, 571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1348705?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 1586*g + 10. Let h(y) = -11102*y - 74. What is -3*h(u) - 22*j(u)?\nAnswer: -1586*u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/((u\/(u*u\/(u\/((u**(-2\/21)*u)\/u))*u))\/u)*u*u*u**1*u)**(5\/11)*(u**(-2))**(18\/11)\/(u*(u**(-2)\/u)\/u*u**(-2\/9)\/u) assuming u is positive.\nAnswer: u**(2833\/693)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 24404147?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -82 - 107. Let i = h - -196. What is the remainder when 306 is divided by i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -40*d**5 - 4*d**2 + 3179*d.\nAnswer: -800*d**3 - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 1558489*q**3*y - 119*q**3 - q**2*y + 1966*q + 7 wrt y?\nAnswer: 1558489*q**3 - q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u**4\/3 + 2162*u**3 - 145270*u**2\/3 - 895167728*u - 447571488 = 0. Calculate u.\nAnswer: -1092, -1\/2, 563","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 63873 is divided by 36.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 36302?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 26 + 16 + -26 + -19 + 103.\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (((-13776)\/20)\/(-6))\/((-6)\/(-15)) is divided by 18.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 6*n**3 + 2*n**2 - n + 366. Calculate k(0).\nAnswer: 366","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 724307?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*a - 1617288 = 2098466 + 1248128. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*o - 37 - 29 = 0. Let h(k) = 16*k**3 - 2*k**2 + k - 1. Let c be h(2). Calculate the highest common factor of c and o.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 412 divide 184649?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1 + 0. Let k be (d + -1)*(-6)\/(-4). Let a be (-4)\/(-16) - k\/4. Sort 5, 3, a in increasing order.\nAnswer: a, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 45425230427 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/6*14)\/((31\/1)\/(-93))?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 7, s: 2, i: 1, t: 3, r: 1, w: 4}. What is prob of picking 1 t, 1 s, and 1 w?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0004266 to 4 dps.\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = u**2 - 8*u + 3. Let n be v(8). What is the second smallest value in n, 0.11, -1?\nAnswer: 0.11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 740 at most as big as 903?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 14 + -14. Let p = 3 + n. Suppose c + 3*k = -c + 151, -p = -k. Does 21 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t = 5*s - 6240, 2488 = 4*s - 2*s - 2*t. Let z be s\/63 - (-2)\/9. Solve 0*k - z = 4*k for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*t + 1478 = 398. Let n = -3091\/56 - t. Calculate the common denominator of (-159)\/(-36) + (-2)\/6 and n.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2236 is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -25 + 40. Let x(q) = 0*q - k*q - 8*q - 2. What is the units digit of x(-1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of ((241 - -31) + -9)\/(2\/8) and 2104.\nAnswer: 2104","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 422.4258 millilitres in litres?\nAnswer: 0.4224258","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -38*z - 4. Let w(a) = 38*a + 5. What is 5*c(k) + 4*w(k)?\nAnswer: -38*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 7*t - 4*t. What is the third biggest value in -0.02, t, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -123760 - 2?\nAnswer: -123762","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*l**2 - 19810*l + 19805 = 0. Calculate l.\nAnswer: 1, 3961","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26*d + 2*d - 6*d.\nAnswer: -30*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -978644800 divided by 26432?\nAnswer: -37025","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 62 - 50. Let r = 15 - -73. Let j = r + -86. Solve 2*w + j*w = -v for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) be the first derivative of -1\/12*b**4 + 0*b**3 + 0*b**2 - 4 - 5*b. Let u(w) be the first derivative of z(w). Let s(o) = 2*o**2. Give u(s(d)).\nAnswer: -4*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 8576 + -8820.03. Round c to the nearest 10.\nAnswer: -240","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = 2*h + 8, -5*h - 5*q + q = -16. Let d = 2 - h. Let c(x) = -2*x - 2 + d. Let z(s) = -3*s. What is z(c(p))?\nAnswer: 6*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:30 PM and 4:28 PM?\nAnswer: 238","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -6789 + 130251\/19. Which is bigger: 66 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t = h + 15, t = 2*h + 3*h + 3. Let p be 3\/t*2*0. Is 54 + (p - (0 - -1)) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*v**3 + 3*v**3 - 5*v**3)*(4 + 5 - 2)*(3 - 6 + 1) to j*v + y*v**2 + p*v**3 + r and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (636\/14)\/((-11)\/(-7)) - 365\/(-4015)?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-4*sqrt(216) - sqrt(216))\/sqrt(9) + (1*sqrt(600) + sqrt(24) - sqrt(24)))\/((2*sqrt(96)*6)\/((sqrt(72)\/sqrt(3))\/sqrt(2))))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4059 + 4065. Calculate the smallest common multiple of 28\/(-1)*(-6)\/7 and o.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 2*h**2 + 17*h - 5. Let w be c(-9). Differentiate -18 - 16*i**w + 24*i**4 + 17*i**4 with respect to i.\nAnswer: 100*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*d**2 - d**2 - 5*d**2 + 4*d**2 - 4*d**2 + 3*d**2 - d**2 - 4*d**2 + 2*d**2 + (2*d - 2 + 2)*(d + 0*d - 2*d))*(4 - 3 - 7).\nAnswer: 24*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t = -q - 11, q - 3*t = -0 + 5. Let j(r) = 2*r**2 - 2. Let z(p) = -55 - 63 + 119. Determine q*j(s) - 2*z(s).\nAnswer: -2*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 0.5909707 meters?\nAnswer: 59.09707","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/3, -0.2, 0.201, -57, 0.4, 2 in descending order.\nAnswer: 2, 0.4, 0.201, -0.2, -2\/3, -57","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = y**2 - 7*y - 4*y**2 + 4*y**2 + y**2 + 2. Let s(z) = -z**2 + 4*z - 1. Calculate 4*q(c) + 7*s(c).\nAnswer: c**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 11\/28 + -199\/364. What is the second biggest value in 0.2, h, 0.3, 0.1?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2690131430 to the power of 1\/2, to the nearest integer?\nAnswer: 51866","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x - 18 = -3 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 179635?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -1a (base 11) to base 10\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-585969)\/60*-2 - (-309)\/(-1030)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 579457 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -60? (a) -1 (b) 5\/2 (c) 0.2 (d) -108\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 205, 234, 263, 292, 321?\n\"Answer: 29*g + 176","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(612) - (2 + sqrt(612) + 4) - (sqrt(612) - 5*-2*sqrt(612))) + 5)**2.\nAnswer: 132*sqrt(17) + 74053","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10011 - -1001011?\nAnswer: 1011110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -61*t - 2*t**2 - 12 + 6*t**2 - t**2 + 23*t. Is c(-11) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -2 - 5 + 5*c**2 - c**2 - 7*c - 3*c**2. What is the remainder when f(11) is divided by 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -5*n**3 + 916*n**2 - 177*n - 1158. Calculate u(183).\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:26 AM and 11:45 AM?\nAnswer: 559","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -12 (b) 286 (c) 3 (d) 0.2 (e) 1\/10\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 18572?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -2*p + 18. Determine x(16).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1129944 divided by 4?\nAnswer: -282486","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 10828 and 12?\nAnswer: 32484","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 0.20907 - 1798.8\nAnswer: -1798.59093","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 divided by 8520?\nAnswer: -1\/1420","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(-4 + sqrt(3) + -2 + sqrt(3))*-4*-1*-4 + 5)**2.\nAnswer: -6464*sqrt(3) + 13273","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 59 = 47. Let w be 1\/a + (-2057)\/(-102). What is the derivative of -w*b + 7 + 7 + 20 wrt b?\nAnswer: -20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 7 + 223 = 0. Let r = 171 - i. Let t be r\/(-20) + (-1)\/5. Is -3 smaller than t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1034914 and 14?\nAnswer: 7244398","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 546 and 336?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*p + 26 - 24 = -22*p, 3*l - 98 = -4*p for l.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u = -43*u + 624 for u.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express r - 644*r**3 - r**4 + 318*r**3 + 327*r**3 + 138*r**2 as t*r**2 + g*r**3 + u*r + h + i*r**4 and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-5 - -7)*41\/2. Suppose f = -2*f + 2*n + 79, f - t = -3*n. Is 12 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 14 (base 15) to base 10\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 600644, 1201295, 1801946, 2402597, 3003248, 3603899?\nAnswer: 4204550","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 29527 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.525 at least as big as -1712?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -87*k = 4*z + 85*k - 173*k + 13, -2*k = 5*z for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve l = -v + 5, 17 = v - 529*l + 534*l for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -5*a, 0 = 4*s + 3*a - 70 - 92. Suppose -s*q = -37*q + 18. Which is smaller: 1 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1c + -5d9?\nAnswer: -617","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -102 + -1431114303?\nAnswer: -1431114410","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor w**2 + 6651*w + 6650.\nAnswer: (w + 1)*(w + 6650)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -n**2 - 3*n. Determine t(-4).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(133) + sqrt(133) + 2*sqrt(133)*2 + sqrt(133) + sqrt(133) + sqrt(133))\/(sqrt(70)\/sqrt(250)).\nAnswer: 45*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d - 2*h - 64 = 0, -5*h + 27 = -1650*d + 1651*d for d.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, -3, 32938 in ascending order.\nAnswer: -3, 6, 32938","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pw when two letters picked without replacement from cpwwccw.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 11\/2 of a milligram?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 139*p + 990. What is s(-7)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) be the first derivative of r**6\/3 - 6*r**5\/5 - r**4 + 4*r**3 + r**2 - 6*r + 1301. Suppose m(g) = 0. Calculate g.\nAnswer: -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7346.069821 rounded to the nearest integer?\nAnswer: 7346","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 40 + -35 + -1 + 3\/3. Solve 5*x + 2*m = -5, 11*m - 6*m + w = -5*x for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 3010168 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 308\/363 + 4\/(-6). What is the nearest to -2 in y, 5, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1733 divided by -107?\nAnswer: -1733\/107","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -2*p - 3*p**2 + p + p. Let g(i) = 14*i. Determine s(g(z)).\nAnswer: -588*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find m such that -57*m**5 - 177375*m**4 - 136729470*m**3 + 1962351630*m**2 - 7129647945*m + 1077349329 = 0.\nAnswer: -1563, 3\/19, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 734, 687, 640, 593?\nAnswer: 546","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 1 + (-11 - (6 - 11)) + 0\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00014537 rounded to 5 decimal places?\nAnswer: -0.00015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 10118?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -1*16 - (3 - 1). Let w = 5 - u. Is 3 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 11 or -864?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 8829834 a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -91\/5 + 18. Let w = 2864 + -2862.429. Let u = 0.271 - w. Sort d, u, 2, 2\/9 in descending order.\nAnswer: 2, 2\/9, d, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 0*h**3 - 4*h**3 + 6*h**3 + 17 + 14*h**2 + 4*h**3. Let p be -22 - (10 + -14 + (-1)\/1). Let t(m) = -2*m**3 - 5*m**2 - 6. Calculate p*t(c) - 6*g(c).\nAnswer: -2*c**3 + c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -108800, -217604, -326408, -435212?\n\"Answer: -108804*o + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 262 - 102. Let x(q) = q**3 + 6*q**2 - 9*q + 6. Let w be x(-7). Calculate the greatest common divisor of w and h.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 480 minutes before 7:18 AM?\nAnswer: 11:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 463187 is divided by 13.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4781?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -1050 divided by 210?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1178 - -1203. Is -1\/13 <= t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) be the first derivative of -r**5\/60 - 5*r**3 - 1. Let b(t) be the third derivative of u(t). Let n(v) = -1 + 1 + 3*v. Calculate n(b(g)).\nAnswer: -6*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*u**2 - 36 + 11*u**2 + 48 + 40 - 2*u**2.\nAnswer: u**2 + 52","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(((0 + sqrt(1331))**2 - sqrt(1331)) + 4)*-4.\nAnswer: -26700 + 220*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 528652?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 6, d: 7}. What is prob of sequence ddd?\nAnswer: 35\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 (base 12) in base 11?\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 n and 1 r when four letters picked without replacement from dnnnrdrnrrrr?\nAnswer: 8\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1083 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) be the second derivative of f**6\/60 + f**3\/6 - 3*f**2\/2 + 2*f. Let i(p) be the first derivative of c(p). Find the first derivative of i(m) wrt m.\nAnswer: 6*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (3*(sqrt(17) + sqrt(17)*1) + -2 + sqrt(17)*1 + -3*(0 + sqrt(17) + -1))**2.\nAnswer: 8*sqrt(17) + 269","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -53774, -103294, -152826, -202376, -251950, -301554, -351194, -400876?\n\"Answer: -i**3 - 49513*i - 4260","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -5 - ((-4)\/2 - -4). Let r = -52 + 45. Let p = r - s. Is p smaller than 1\/8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 276.05 to the nearest one hundred.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 3197.836 hours?\nAnswer: 11512209600000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 2*y**3 + 4*y**2 + 6*y + 20. Let r be s(-4). Let p(m) = -71*m**3 - 1. Let a be p(-1). Let i = a + r. Solve 0 = -0*o + i*o - 2 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(2400) - sqrt(2400)*-2)\/(sqrt(4860)\/sqrt(5) + sqrt(12)).\nAnswer: -12*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 3 + ((-18)\/(-6) - 4)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 578 = 2*c + o, 2 = -o. What is the remainder when 387 is divided by c?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -161832 times 339?\nAnswer: -54861048","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -3*c**2 - 232*c - 1779. Give g(-8).\nAnswer: -115","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -81\/418 or 1?\nAnswer: -81\/418","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 12 and 2526?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -250 not equal to -6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) be the third derivative of -h**4\/8 - h**3\/6 + 2*h**2. Calculate d(-2).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -i**2 - 6*i - 8. Let v be w(-4). Suppose -8*q + 10*q = v. Let z be 9\/(-3) - q - -3. Solve -5*n - 13 - 12 = z for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1.01 - -0.01. Which is the closest to x? (a) -2\/7 (b) -0.4 (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*h - 2*h - h**2 + (2 - 3 + 0)*(4*h + 3*h + 3*h)*(1 - h - 1) - 4*h**2 + 4*h**2 - h**2 to the form j + f*h**2 + a*h and give f.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) be the third derivative of -7*d**5\/60 - 13*d**3\/6 + 11*d**2. Differentiate o(z) with respect to z.\nAnswer: -14*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 54 - 11698?\nAnswer: -11644","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d = -d. Let z be (3\/(-12))\/((-2)\/8). Suppose -b - 3*c + z = 0, d = b - 2*c - 7 - 4. Does 4 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31 = -5*u + 11. Let l be (-102)\/27 + u\/18. Let n = 0.4 + -0.2. Which is the closest to 0? (a) l (b) n (c) 2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s*s**(-6\/5)*s\/s**(-2\/7))\/(s**(-4)\/s*s)**(-2\/55))**(-11\/5) assuming s is positive.\nAnswer: s**(-747\/175)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5 (base 15) to base 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -a**2 + 5*a + 6. Let t = 118 - 112. Determine w(t).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 + -549.45\nAnswer: -545.45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.74414 to 2 decimal places.\nAnswer: 1.74","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 + -2 - (-34 + 18).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = h**3 - 5*h**2 + 7*h - 2. Is m(5) 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 11, 4, -5, -16?\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 61990?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -49.39 + 6.59. Let g = h - -41.8. Let f be (-6)\/(-4)*2\/(-24). What is the closest to -0.2 in f, g, 1\/4?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-1697482)\/(-11870))\/(1188\/30). Let m = -2\/13057 + f. Calculate the common denominator of m and (-182)\/((-13 + 9)*2).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 7, h: 1}. What is prob of picking 2 t?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 5 + -30130122?\nAnswer: -30130113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -2*o**3 - 6*o**2 - 6*o - 4. Let a be ((-9)\/(-6))\/(5\/(-10)). Let y be z(a). Suppose -y*n + 690 = -2026. List the prime factors of n.\nAnswer: 2, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2992 greater than 4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) be the second derivative of b**10\/10080 - b**8\/2240 - b**4\/6 + 8*b. Let o(i) be the third derivative of d(i). Factor o(w).\nAnswer: 3*w**3*(w - 1)*(w + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*o - 42 - 138. Suppose -10*t + 250 - o = 0. Solve -8 = -t*m + 23*m for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w*w\/(w\/w**7))\/w**(-4)*w**(2\/3)*w*w\/((w*w*w\/w**1)\/w)*w*w*w)**(-28))**(1\/28) assuming w is positive.\nAnswer: w**(-50\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 29318 + -29148. Calculate the smallest common multiple of f and 374.\nAnswer: 1870","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -1596*h**2 + 3*h. Let m(k) = -k**2 - 19*k - 1. Let a(d) = 7*d**2 + 95*d + 5. Let f(p) = -a(p) - 5*m(p). Calculate t(f(s)).\nAnswer: -6384*s**4 - 6*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -3*u**2 + 2 + 3*u**3 + 2 + u - 11*u**3 + 7*u**3. Suppose 12 = -p - p + 2*j, 24 = -3*p + 5*j. Calculate the remainder when 3 is divided by k(p).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 16825 and 50?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 32 and 4?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-11)*g)**(6\/29)*(g*g**(-1\/15)\/g)**(-1\/26) assuming g is positive.\nAnswer: g**(-23371\/11310)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 577 + -577. Let r(v) be the third derivative of -1\/60*v**5 + 0*v**3 - 1\/6*v**4 + a + 0*v - 10*v**2. Find the second derivative of r(h) wrt h.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i, 1 s, and 1 g when three letters picked without replacement from {i: 1, s: 1, z: 4, g: 2, l: 7, n: 5}.\nAnswer: 1\/570","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*k**4 + 2*k**3 + 51563*k**2 - 84*k + 617.\nAnswer: -24*k**2 + 12*k + 103126","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = 4*g + 3868, -2*o = -2*g + 5*g - 1919. Is o a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*w + 0*w + 2*w)*(3038 - 1430 - 1483) + (1 + 1 - 1)*(3 - 5 - 2*w + 0*w + (-3 - 3 + 4)*(-2*w - 4 + 4)).\nAnswer: -373*w - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 0\/(-3*(-2)\/6). Suppose -5*r - 9 + 49 = d. Suppose -15 + 1 = -3*k + m, k = 2*m + r. Is k a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 174152939?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6350427983.\nAnswer: 47, 7417, 18217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 8*j**3 + j**2 + j + 1. Determine r(-1).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -5 - 3022462?\nAnswer: -3022467","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:27 PM and 11:04 AM?\nAnswer: 697","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -19 - -17. Let k(n) = -5*n**3 + 4. What is the units digit of k(v)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 320 - 167. Let c = h - 151.57. Let n = c + -1.4201. What is n rounded to three dps?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -95801.316 and -47064.\nAnswer: -142865.316","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 3 + -635?\nAnswer: -632","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2304\/(-252)*(3\/4)\/(9\/(-42)).\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 212*y - 116*y + 103*y = 0 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/5? (a) -120505 (b) -1\/2 (c) 0.2 (d) -0.06\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2.63 - 2.984. Let y = f + 0.154. What is the nearest to y in -4\/3, 4, 2\/17?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/9, 0, -6\/7, 3\/13 in decreasing order.\nAnswer: 3\/13, 0, -2\/9, -6\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand 10 + 287*o - 12 + 14*o + 2*o - 5*o + 4*o + 0*o - 3*o + o + (-3 - 2*o + 3)*(-2 + 0 + 4) + 3*o - 2*o + o - 2*o - o + 4*o - 3 + 3 - o.\nAnswer: 298*o - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 2*x**2 + 3*x + 8. Calculate k(0).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-6)\/21)\/((16\/14)\/(-4)). Let y be 3*q\/(9\/12). Suppose -3*l = -8 - y. What are the prime factors of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 15 and 7665.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c**5 + 416556*c**4 + 833103*c**3 + 416550*c**2 = 0. What is c?\nAnswer: -138850, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 58995.78ml?\nAnswer: 58.99578","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 471 divided by 471?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -2 (b) 6.95 (c) 1\/6 (d) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = 4*x - 4 + 14, -4*f = x + 10. Let s = f - -5. Suppose -10 = -y - y. Solve s - y = i for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 3*o**3 - 5*o**2 - 3*o + 11. What are the prime factors of s(5)?\nAnswer: 2, 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -4590 and 163690.\nAnswer: 159100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -71223*k. Let m(j) = 31*j + 4. Give i(m(d)).\nAnswer: -2207913*d - 284892","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -50*q**2 - 7*q - 3. Let k(g) = -17*g**2 - 2*g - 1. Calculate -7*k(n) + 2*o(n).\nAnswer: 19*n**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -12 + 3. Let m = -4 - v. Let k be m - (-9)\/(-2 - 1). Solve -3*c + 20 = -5*z, k*c + 10 + 6 = -4*z for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -6*k**2 + 3152*k + 9464. Calculate g(-3).\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -c**2. Let z(u) = u + 12947. Calculate z(t(d)).\nAnswer: -d**2 + 12947","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 5*h**2. Let b(w) = 3*w + 1. Let d(t) = t + 1. Let u(m) = 2*b(m) - 2*d(m). Determine u(y(j)).\nAnswer: 20*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -t**3 + 8*t**2 + 8*t - 10. Suppose 13*p - 28 = 89. Calculate f(p).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 1478 = -3*o + 1074, -3*c + 864 = o. What is the units digit of o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1777231 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = m**2 + 189*m + 1098. Calculate z(-183).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4c047a (base 13) to base 15.\nAnswer: 261c71","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 32*f**2. Let h(p) = 72*p**2 - 64*p + 64. Let o(j) = 31*j**2 - 28*j + 28. Let w(x) = 7*h(x) - 16*o(x). What is w(u(m))?\nAnswer: 8192*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a litre in millilitres?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 811 (base 12) in base 9?\nAnswer: 1534","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -j**3 + 6*j**2 + 4*j - 30. Let m be i(5). Suppose 4*d = -4*h - 268 - 200, 4*d = -3*h - 470. Let q = d - -123. Solve q*g + m = -g for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 - l - l**3 - l**2 - 2 + 10 + l**4 in the form k + t*l + b*l**2 + r*l**4 + x*l**3 and give x.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -6020050 or -6020053?\nAnswer: -6020050","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -1918114 greater than -1918085?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 226564?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*c + 4*f + 29 = 0, 6*c + 7*f = c - 32 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -j + 0*j - j + 10*j.\nAnswer: 8*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2 + 2.6. Let x = 15 - 134\/9. Which is the biggest value? (a) 0.4 (b) x (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, 1149, 3, 1 in increasing order.\nAnswer: -7, 1, 3, 1149","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*g**2 + 3*g**2 - 3*g**2 - 2*g**2.\nAnswer: -2*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hdhhhghggdhgdhdd. Give prob of sequence gh.\nAnswer: 7\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 g and 1 i when four letters picked without replacement from {q: 4, g: 3, z: 2, n: 2, i: 6, v: 1}?\nAnswer: 1\/510","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:45 AM and 9:18 PM?\nAnswer: 693","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 21137 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 42351649?\nAnswer: 42351649","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 72103 = f - 87167, 637072 = 4*f + 4*g. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 9*g - 2*g**4 + 50*g**3 + 88*g**3 - 5*g as x*g**4 + m*g**2 + t + o*g + i*g**3 and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1)\/4 - (-26)\/(-88). Let l(f) = f**2 + 5*f + 4. Let g be l(-4). Which is bigger: g or a?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + 4*j - 1296 = 0, 2*j = -4*y + 3*j + 1728. Suppose 37*l - 3244 + y = 0. What is the remainder when l is divided by 27?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 2, i: 2, s: 2}. Give prob of sequence nn.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2860979.\nAnswer: 11, 260089","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d*d**(-1))**27\/(d\/(d*d**(-2)*d)*d\/((d\/d**(-2\/3)*d)\/d*d)) assuming d is positive.\nAnswer: d**(83\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) be the third derivative of -395*o**4\/12 + 107*o**2 + 13*o. Let a(m) = -4*m. Give a(p(g)).\nAnswer: 3160*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 3*t**2 - 4 - 5*t + 4*t**2 - 8*t**2. Calculate l(-6).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 5*l + 2 = 0, 4*l = -s + 13. Suppose -2*c + 7 + s = 0. Is c even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13664?\nAnswer: 2, 7, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence po when two letters picked without replacement from dmdpdpdddpdo.\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/16, -0.2, 5 in descending order.\nAnswer: 5, -1\/16, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -131*n - 109001. What is x(-832)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 2123 (base 5) to base 9\nAnswer: 350","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10492325 divided by 5.\nAnswer: -2098465","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.18*0.794.\nAnswer: -0.14292","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 27172 and 8?\nAnswer: 54344","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 1\/2676 and -59\/15.\nAnswer: 13380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 8874 and 116.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 17\/4 and -29\/2575.\nAnswer: 10300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 54828510*l**3 + l**2 - 15254*l - 120?\nAnswer: 328971060","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -29*j. Calculate g(1).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 3\/8 of a decade?\nAnswer: 45","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 295 is divided by 23.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in 4, -3, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -6 + (60\/24)\/((-11484)\/(-624) + -18)\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -50 (b) 4 (c) 129 (d) -9 (e) 8 (f) -60\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 29*k**3 - k**2 + 2*k - 1. Let s = 0 - -4. Let n = s + -3. Does 15 divide d(n)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 68080 a multiple of 185?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10939?\nAnswer: 10939","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 628 minutes after 7:15 PM?\nAnswer: 5:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (sqrt(320)*2 + 3 + (sqrt(320) - (sqrt(320) + -1 + -2)))*2 + -2)**2*6.\nAnswer: 5760*sqrt(5) + 32070","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 f when three letters picked without replacement from fvtfttfttffvfftvftvt.\nAnswer: 14\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 5*p**3 - 89*p**2 - 12*p - 45. Calculate n(18).\nAnswer: 63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 1\/39, 0.1, -5, -5.6, 0?\nAnswer: -5.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 208490774 a multiple of 3671?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 8 + -4. Let p = 0.03 + 0.37. What is the second smallest value in 0.5, p, y?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 1, l: 7, y: 10}. Give prob of sequence ey.\nAnswer: 5\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 23889, -1, 17, 4, -16.\nAnswer: -16, -1, 4, 17, 23889","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2*1116\/1364)\/(14\/11)?\nAnswer: -9\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.14 + -0.06. Suppose -8*b - 5 + 21 = 0. What is the nearest to -2 in -4, x, b?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.31 - -0.11. Let w = -0.4 + 0.7. Let y = w + m. Which is the closest to y? (a) 1\/6 (b) 0 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7 + 0 + 5 + -8 + 5 + 12\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*d + 5*d + 2*d**3 - 5 + 2*d + 4 as j*d + n + p*d**2 + g*d**3 and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 107346 - 107345.999951541. What is p rounded to five dps?\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 92 minutes after 2:06 PM?\nAnswer: 3:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 22878?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 5456869 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 33 + -30. Suppose u + 5*l = 22, l - y = 2*u - 25. Calculate the greatest common divisor of 4 and u.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-74 - -61) + (27 - 10).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w and 2 x when four letters picked without replacement from woxoxpwpw?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 992 = -v, -8*z + 3*z - 4*v + 1642 = 0. What is the greatest common divisor of z and 120?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + 3*n - 1223 = 0, -9*n + 4*n = 5*g - 1530. What is the greatest common divisor of g and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1280686*j**3*p**3*u + 8284*j**3*p + 115*j**2*u + 16*j*p**3*u**2 - 5*j*u**2 + p*u wrt p?\nAnswer: 7684116*j**3*p*u + 96*j*p*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**(2\/5)\/(s*(s\/s**(2\/79))\/s)*(s**(-1\/2))**(-2\/105) assuming s is positive.\nAnswer: s**(-4688\/8295)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5022312 (base 10) to base 5.\nAnswer: -2241203222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -4, -0.4, 2, 30092, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4150 is divided by 815.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 91717 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 77 = -5*u, -4*n + 5*u + 71 = 6*u. Let r be 2\/(-8)*-2*n. Suppose -g = 2*g + r, 0 = 4*y - 3*g - 9. Which is smaller: y or -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -30*c**2 - 36*c + 4. Calculate r(2).\nAnswer: -188","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in 2.86, 0.07, -23\/6?\nAnswer: 2.86","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1152 times 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.132408784 to one dp.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 2*j - 23. Let l be y(13). Let c be (-8)\/3*-9 - l. Suppose 5*s + 1 = c. What is the units digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 64200 rounded to the nearest 10000?\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15222 is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 392056, 784119, 1176186, 1568257, 1960332, 2352411, 2744494?\nAnswer: 3136581","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (4 + -2)*2\/(-4). Calculate the remainder when 19 is divided by c + 2 + 20\/2.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rudrruurdrudrkruu. What is prob of sequence kru?\nAnswer: 7\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 3*v**2 + 4*v - 2. Let h be u(-2). What is the third smallest value in h, -2, -1?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1086027423?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 3, k: 2, f: 13, j: 2}. Give prob of picking 2 f.\nAnswer: 39\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.3962697 and -43.\nAnswer: -43.3962697","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*u - 2*u - 4. Calculate the remainder when 5 is divided by u.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 2 = -4*i, -u + i = 4*u - 16. Let k be u - 0\/((1 - -2) + -2). Let s be 99\/2 - k\/(-6). Calculate the highest common divisor of 20 and s.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 308211 is divided by 38?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*((sqrt(2) - (-4 + sqrt(72))) + 5)**2.\nAnswer: -360*sqrt(2) + 524","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1076060.30018 + 1076094. Let l = 33.7 - h. Round l to three dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = v**3 - 4*v. Let r be o(2). Suppose u + 3 + r = 0, 4*l - u - 23 = 0. Sort 2, l, 1, -4 in descending order.\nAnswer: l, 2, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:08 AM and 5:25 AM?\nAnswer: 77","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 7003061 != 7003060?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*z**5\/9 - 4*z**4\/3 + 4*z**3\/3 - 4*z**2\/9.\nAnswer: 4*z**2*(z - 1)**3\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 78, 162, 244, 324, 402, 478, 552?\n\"Answer: -u**2 + 87*u - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 5978 and 1708.\nAnswer: 11956","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6 + 10*f + 3*f + 3 + 11.\nAnswer: 13*f + 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1397 by 126.\nAnswer: 1397\/126","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor b**4\/3 - 9*b**3 + 119*b**2\/3 + 49*b.\nAnswer: b*(b - 21)*(b - 7)*(b + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (815*i + 11 - 12 + 1 + 1958*i)*(1 + 3*i - 1) to the form u + f*i**2 + o*i and give f.\nAnswer: 8319","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -1013, -4017, -9001, -15965, -24909?\n\"Answer: -990*g**2 - 34*g + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4? (a) -910 (b) -1345 (c) 6 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -11 by 12.\nAnswer: -11\/12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 332 + -105. Does 13 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.023 and -48165.\nAnswer: -1107.795","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 16*j - 2. What is the units digit of r(3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 2*p. Let g(d) = 66*d + 25. Let x(a) = 200*a + 69. Let m(z) = 11*g(z) - 4*x(z). Calculate n(m(r)).\nAnswer: -148*r - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 66.5537 + -67.853681. Let s = -1.3 - r. What is s rounded to five dps?\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from elllee. Give prob of picking 2 e.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 122 divide 47325?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16\/3840*-16 + (-7)\/345.\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 5 (b) 0.8 (c) -0.3 (d) -0.013\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -4*a**2 + a. Let t be u(1). Let v = 13 - 4. Let r = v + t. What is the units digit of r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.405, 11\/4, -935, -2, -1?\nAnswer: 11\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2574 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*y - 28 = -26*y for y.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = d**3 + 313*d**2 - 1265*d + 432. Give n(-317).\nAnswer: -519","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5963458?\nAnswer: 2, 823, 3623","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1881493043 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1942 divided by -1942.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 5700145*w**2 + 12555002 wrt w.\nAnswer: 11400290*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4 - v + 1870*v**3 - 1037*v**3 + 2 - 4*v**2 + 6*v**2 to l + r*v**2 + b*v**3 + q*v and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*i**2 + 31*i**2 - 4*i**2 - 14*i**2.\nAnswer: 3*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 9, j: 2}. Give prob of picking 4 j.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -50455 divided by 5.\nAnswer: -10091","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 1073 = -5*h + 8616, 3 = -3*h. Let i(g) = 3*g**3 + 5*g**2 + 4*g + 4. Let k be i(-3). What are the prime factors of (-4)\/22 + q\/k?\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 97*q**2. Let m(z) be the first derivative of 1\/3*z**3 - 128 + 0*z + 0*z**2. Give m(u(r)).\nAnswer: 9409*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -s**2 - 4*s - 1. Let u be z(-3). Let t(p) = p - 12. Let g be t(12). Solve u*h = -g*h - 10 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or 19\/5460?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 8 - 8. Suppose v - 4*g - 14 = -2, 4*v = 3*g + 22. What is the smallest value in 3\/4, v, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -6601 + -135157?\nAnswer: -142758","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -7*z**2 + 383*z + 62. Determine h(56).\nAnswer: -442","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -41*v**3 - v**2 - v - 1. Let u be a(-1). Let h be 10\/(-3)*(-48)\/u. Suppose -5*j + 13 = -h*j. What is the units digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 24 times 246\nAnswer: 5904","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 4*w + q = -79, -w + 4*q = -8. Suppose 5*v - v - w = 0. Suppose v*l = -l + 48. Solve 0 = -3*s + 3*c - l - 3, -s = 3*c - 17 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 0, -36\/7, -4\/5155?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -1217, -6503, -18263, -38909, -70853, -116507, -178283, -258593?\n\"Answer: -402*k**3 - 825*k**2 + 3*k + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -2*d + 1. Let x = 582 - 578. Suppose -2*r - 5*h = 0, h - 4*h = x*r + 14. Let l(o) = o**3 - 5*o + 2. What is r*s(i) + 2*l(i)?\nAnswer: 2*i**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 31 - -c2?\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -16*w + 5. Let c(u) = 31*u - 10. Let s(m) = -4*c(m) - 9*i(m). Let o be s(10). Let l be 30\/o - 4\/26. Which is smaller: 2\/61 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = h**2 - h - 2. Let w(f) = 3*f**2 + f + 6. Determine -2*c(m) - w(m).\nAnswer: -5*m**2 + m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 474393.939 to the nearest 1000.\nAnswer: 474000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 120, -1, -6, 3 in decreasing order.\nAnswer: 120, 3, -1, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 times -20960834?\nAnswer: 104804170","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -s**3 + 5*s**2 - 4*s + 8. Let f be a(5). Let k be (-2272)\/18 + 4\/18. Let p be 2\/4 + k\/12. Is f != p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -899523 or -899524?\nAnswer: -899523","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 8037*f**4 - 948*f**3 + 23263133 with respect to f.\nAnswer: 32148*f**3 - 2844*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2265417 divided by 46233?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28 = 2*q + 2*u, u + 36 = 4*q - 0*u. Suppose 8 = -0*n + n + 2*j, 3*j - q = -n. Suppose 0*a - 12 = -n*a. Which is smaller: a or 5?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -x**2 + x**3 - 11*x**2 + x - 96 + 84. Let b be v(12). Let u = 6 + -2. Solve 0 = u*g + n - b + 1, -2*g = 2*n - 4 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -g**3 - 15*g**2 + 551*g - 2. What are the prime factors of f(-34)?\nAnswer: 2, 3, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 13567 - 5?\nAnswer: 13562","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*q + 5 = -2*y, 3*q - 3*y - 11 = -q for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 9*s = 30. Let y be (-9)\/15 + 12\/s. Is -1 >= y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 20 + 33?\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 282\/(-705)*(-315)\/(-154)*-2?\nAnswer: 18\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00001154 to 5 dps.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4*h**2*k**2 - 14468*h*k**2 + 6*h*k*q - 3*k**2*q + k**2 - 247*k - 157*q + 2 wrt h.\nAnswer: 8*h*k**2 - 14468*k**2 + 6*k*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) be the second derivative of -2*a + 0*a**3 - 2*a**2 + 1\/4*a**4 + 0. What is the hundreds digit of y(-6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(35)\/sqrt(5) + sqrt(7))*3 - sqrt(7))**2 - (-2*sqrt(7)*-5)**2.\nAnswer: -525","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.6? (a) 3 (b) -5 (c) 0.3 (d) 10.3 (e) -5\/6\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 159, 1, -109417 in descending order.\nAnswer: 159, 1, -109417","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) be the first derivative of -a**3\/9 + 9. Factor l(b).\nAnswer: -b**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(7) - (sqrt(7) - (sqrt(7) + -1)*-3) - (sqrt(7) - (2*sqrt(84))\/sqrt(12))**2) + (sqrt(175) - 2*(sqrt(175) + -1)) + 4.\nAnswer: -8*sqrt(7) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*r**2 + 30094*r - 2116380.\nAnswer: 2*(r - 70)*(r + 15117)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 51770822?\nAnswer: 2, 61, 424351","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3658 + -3655. Let u = -0.1 + 0.2. What is the third smallest value in -3, u, s, 5?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 9619066?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 35060 and 80?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -5ab7 (base 16) to base 8\nAnswer: -55267","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 62231 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 65\/4142 and -41\/54.\nAnswer: 111834","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 166*d = 165*d + 14. Let k = -23 - -70. Let o = -31 + k. What is the lowest common multiple of d and o?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -11990 by 218.\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -2*r**2. Let w(z) = z**2 + 12*z - 9. Let u be w(-13). Let q(v) = 4*v + 4 - u + 5*v. Give q(d(y)).\nAnswer: -18*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.6*-1900.\nAnswer: -1140","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 13963 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -0.33 times -428\nAnswer: 141.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -51*n - 197265 = -70*n + 51749. What are the prime factors of n?\nAnswer: 2, 6553","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*x**3\/2 + 57*x**2 - 594*x + 972.\nAnswer: -3*(x - 18)**2*(x - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0\/((-1*2\/3)\/(519\/(-1557))) + 27.\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 14*g = -25*g + 128908. Is g a multiple of 52?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 3*d - 34. Let r(h) = -2*h - 1. Let c(s) = k(s) + 4*r(s). Let u be c(-9). Do 9 and u have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (9244\/(-10))\/(84\/20). Let a = 220 + k. Which is bigger: 0 or a?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = r**2 - r. Let y(t) = -3*t**2 + 60*t - 57. Let z(s) = 6*q(s) + y(s). Factor z(p).\nAnswer: 3*(p - 1)*(p + 19)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3229891*a*k - a + 14267*k - 100 wrt a.\nAnswer: -3229891*k - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 90 + -207. Calculate the remainder when 108 is divided by (-1916)\/(-52) - 18\/x.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -21*r**3 - 12*r**2 - 42*r - 15. What is the units digit of d(-3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 19987 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(sqrt(2016) - -5*sqrt(2016)*-2)\/(sqrt(56)\/((-2*(sqrt(21)\/sqrt(3) + sqrt(7)) - sqrt(7)) + sqrt(7))) + -4.\nAnswer: -216*sqrt(7) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = -9 + 1. Suppose -w - 200 = -5*x, x - 4*w + 9*w = 40. Suppose -x = -16*m + 72. Calculate the least common multiple of d and m.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2136 a factor of 199135008?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 647 + -645. Let h(b) be the second derivative of 0*b**5 + 3*b**3 + 0*b**4 + 7\/10*b**6 + 0*b**z + 16*b + 0. What is the second derivative of h(v) wrt v?\nAnswer: 252*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1651908 and 24?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*d + 4754 = 644. Let o(l) = 3*l + 411 - d + 8*l. Let r(n) = 29*n**2. What is r(o(q))?\nAnswer: 3509*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 111 in 3, 10, 30, 2\/15?\nAnswer: 30","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 276*t = 289*t + 1729. Calculate the remainder when 2\/(-2) - (t + 49) is divided by 8.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -3*o**2 + 618*o - 18365. Give k(36).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by -42\nAnswer: -5\/42","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 15*w**2 - 2*w + 87. Let q(h) = -16*h**2 + h - 88. Give -3*p(g) - 4*q(g).\nAnswer: 19*g**2 + 2*g + 91","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 568 and 32.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3044.8 - 3042.0933. Let z = -3.306705 + m. Let x = z - -0.6. What is x rounded to five decimal places?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by -568036?\nAnswer: -5\/568036","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) be the second derivative of -d**7\/2520 - d**6\/180 - d**5\/30 - d**4\/9 + d**3\/2 + 6*d. Let c(m) be the second derivative of y(m). Factor c(t).\nAnswer: -(t + 2)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 + 5 - (-46 + 56 - (-3 + 26) - -1)?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (g + 3*g - 6*g)*(25*g - 117 + 117) + (20*g + 48*g + 19*g)*(-4*g - 4*g + 6*g + (0 + 3 - 1)*(-2 + 2 - g)) as q*g**2 + f + j*g and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1221\/38 or 33?\nAnswer: 1221\/38","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Determine u, given that 4*u**3\/3 - 1834*u**2\/3 + 210680*u\/3 - 104882\/3 = 0.\nAnswer: 1\/2, 229","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of (-50722)\/(-70) - (-4)\/10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 10\/23? (a) -0.5 (b) -1\/3 (c) -0.04 (d) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 14\/15, 8, 83, 1, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -266 (b) 5 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 145283 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that 3*j**3\/5 - 1293*j**2\/5 - 589152*j + 11803536\/5 = 0.\nAnswer: -801, 4, 1228","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 209\/5 - 42. Which is the closest to x? (a) -1\/3 (b) -2\/5 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -2166340, -4332825, -6499310, -8665795?\n\"Answer: -2166485*c + 145","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*a - 4*f + 43, 5*a - 32 = -3*f + 9. Let o = a - 9. Is (o\/6 + -1)\/(6\/(-99)) a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + 1 - ((-20 - -29) + -3).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 16310891 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 44 divided by 65804\nAnswer: 11\/16451","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4*29567.\nAnswer: 118268","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-84)\/(-49) - 2\/(-7). Let o(d) = -d**2 - 9*d - 4. Let b(z) = -3*z + 2. Let a be b(3). Let k be o(a). What is the highest common divisor of k and i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 1 m when two letters picked without replacement from {r: 1, m: 4, e: 3}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -48 - 240144?\nAnswer: -240203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 65 divide 4324580?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0002317988876 rounded to five decimal places?\nAnswer: 0.00023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) be the third derivative of 2*b**7\/35 + 4*b**3\/3 + 3*b**2. Differentiate n(j) wrt j.\nAnswer: 48*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -11, -3\/8, -215?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) be the second derivative of -38*t**6\/15 + 777*t**5\/5 - 2806*t**4\/3 + 1672*t**3 + 592*t**2 + 2655*t. Let q(s) = 0. What is s?\nAnswer: -2\/19, 2, 37","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 248*r**2 - 295*r**2 - 388*r**2 + 50*r**2 - 1 - 497*r**2 to the form z + k*r + l*r**2 and give z.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 228\/(-95)*(-15)\/(-6).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 903861 + 589815 = -4*s. Let o = -2991227\/8 - s. Let h = o + 1909\/4. What is the common denominator of 37\/11 and h?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 3387*s + 7006. Is b(49) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) be the third derivative of -13*y**2 + 0 - 13\/120*y**6 + 0*y**3 + 0*y**4 - 7\/20*y**5 + 0*y. Find the third derivative of l(j) wrt j.\nAnswer: -78","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -974 - -6504. What is the hundreds digit of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 390, -1, -3, -6 in increasing order.\nAnswer: -6, -3, -1, 390","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 4 - d)*(5 - 5 - 2*d**4) + 2 + 0*d**5 - 3*d + 2*d**5 + d.\nAnswer: 4*d**5 - 2*d + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1535 and 2763.\nAnswer: 13815","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 100 + -100.1. Let w = 9.65 - 13.6. Let v = w + -0.05. Which is the third smallest value? (a) v (b) 2 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w*w**5)\/(w**2*w))\/((w*(w\/(w*w*w**0\/w*w))\/w)\/w)**8 assuming w is positive.\nAnswer: w**20","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ooooooooeoooooooooo. What is prob of picking 3 o?\nAnswer: 16\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1931819947 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) be the third derivative of 0*r + 0*r**3 + 0 + 0*r**4 + 1\/18*r**5 + 1\/72*r**6 - 33*r**2. Determine p, given that x(p) = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 1 b when two letters picked without replacement from kbbbbk?\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 10*k + 42. Let i(j) = -2*j**2 - 44*j. Determine i(h(u)).\nAnswer: -200*u**2 - 2120*u - 5376","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 297 = -204. List the prime factors of f.\nAnswer: 3, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 32\/8757061 or 1?\nAnswer: 32\/8757061","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-4)\/(-18) - (-32)\/18. Let j(z) be the first derivative of -5 + z**2 + 2 + 0*z**d. Let m(g) = 4*g. Determine m(j(p)).\nAnswer: 8*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -246, -494, -742, -990, -1238, -1486?\n\"Answer: -248*k + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -25 in 7, 27.3, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*k**2 - 4*k**2 - 4*k**2 + 2 - 2 + 2*k**2 + (0*k - 4*k + 2*k)*(2*k + 0 + 0).\nAnswer: -6*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -988 (b) 218 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(156) - (sqrt(156) - sqrt(156)*3*-6) - sqrt(156))\/sqrt(12).\nAnswer: -19*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 1, q: 1, g: 1, d: 2, y: 2}. What is prob of sequence dgm?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 21861 - -58?\nAnswer: 21919","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1 (b) 1192 (c) -1.474\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 69 minutes before 3:41 PM?\nAnswer: 2:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 426, 1476, 3236, 5700, 8862, 12716, 17256?\n\"Answer: -r**3 + 361*r**2 - 26*r + 92","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*q + 49*q = 28*q - 22205. What is the hundreds digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -2. Let v(x) = -x + 5. Let b(f) = 5*m(f) + 2*v(f). Let s be -2*(3\/6 - 2). Let l(a) = -8*a + 5*a + 2*a**2 + s*a. Give b(l(r)).\nAnswer: -4*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (-36094863)\/979065 - ((-8)\/30)\/(-2)\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -7*x**2 - 5*x + 18. Let r(k) = 13*k**2 + 9*k - 35. Let u = 2319 - 2325. What is u*r(j) - 11*m(j)?\nAnswer: -j**2 + j + 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(84)\/sqrt(4) - sqrt(21))*4)\/(-1*sqrt(14)\/(sqrt(4)\/sqrt(2))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*q**2 + 0*q**2 - q**2)*(-q + q + q) - 3*q**3 - 4*q**3 + 5*q**3 - 2 + q**3 + 2 + 6 - 10*q**3 - 5 + q**3.\nAnswer: -11*q**3 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.2, -118.75, -46 in ascending order.\nAnswer: -118.75, -46, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -2*m**3 - m**2 - 6*m - 6. Let x be y(-6). Suppose -110 = 4*c - x. What are the prime factors of c\/9 + 4\/18?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-14*a + 18*a - 25*a)*(-3 + 5 - 1)*(-1 - 3 + 3)*(-1 + 1 + 9*a) to p*a + f + d*a**2 and give d.\nAnswer: 189","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (44163\/7010)\/((-36)\/50)?\nAnswer: -35\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -6\/11 (b) -5 (c) -1 (d) -18262\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 14357?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -2*m**3 - 6*m**2 - 4*m. Let p(z) = 3*z**3 + 7*z**2 + 5*z + 1. Let d be (-1)\/((-4 - (-6 + 3))\/5). What is d*b(i) + 4*p(i)?\nAnswer: 2*i**3 - 2*i**2 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1578655120.\nAnswer: 2, 5, 7, 571, 4937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 384 divided by 18\nAnswer: 64\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (12496\/(-1704))\/(4\/9).\nAnswer: -33\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 127578.72 months to decades.\nAnswer: 1063.156","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 10) to base 13.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1289017?\nAnswer: 19, 67843","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 1\/10 of a kilometer?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 21 + -16. Suppose -5*p + 142 = 2*h, -j*h = -2*h - 3. Suppose -39 = -z - p. What is the units digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2 + 10. Let h be (-5)\/20 + (-158)\/v. Let f = 16 + h. Which is the closest to -1? (a) f (b) 6\/7 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -y**2 - 12*y - 11. Let o be l(-9). Let m be (-10)\/(-8) + (-4)\/o. Solve -3 = q + m for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 44604 is divided by 8859.\nAnswer: 309","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:20 AM and 3:22 PM?\nAnswer: 482","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = z**3 + 7*z**2 + 7*z - 10. Let j = 94 + -92. Let w(c) = 9 - 5*c - c - 6*c**2 + j*c**3 - 4*c**3 + c**3. Determine -6*o(t) - 7*w(t).\nAnswer: t**3 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0408964 plus 0.1?\nAnswer: 0.0591036","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*d**6 + 11*d**5 - 3*d**4 - 85*d**2 - 14.\nAnswer: -240*d**3 + 660*d**2 - 72*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 23377159\/279 - 83789. Find the common denominator of z and 131\/24.\nAnswer: 2232","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 (base 3) in base 5?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) be the first derivative of -3*d**2\/2 + 1140. Let c(z) = -z - z - z + 0. What is h(c(p))?\nAnswer: 9*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:01 AM and 6:54 AM?\nAnswer: 353","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 15654838 and 7482?\nAnswer: 2494","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 9, -0.5, -2, 1\/23, 1\/18?\nAnswer: 1\/23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 22.1 + -22.3. Sort -5, l, 14, -0.5 in increasing order.\nAnswer: -5, -0.5, l, 14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find s, given that s**5\/6 - 5*s**4\/3 + 14*s**3\/3 - 4*s**2 = 0.\nAnswer: 0, 2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1932756\/67 less than 28846?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -887472*v + 887597*v = -3375 for v.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2*3)\/((6\/105)\/(211\/(-1477)))?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 46 and 177790?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 0.5 (b) -6 (c) 2\/3 (d) -63018\/5 (e) 0.11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 520858901 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(1*sqrt(2448) + sqrt(2448))*-2 + ((5 + sqrt(833)*-1)*3)**2.\nAnswer: -726*sqrt(17) + 7722","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -2\/3, -3, -3\/8?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (2*sqrt(24))\/(sqrt(96)\/sqrt(2)) - ((sqrt(72) + -2*sqrt(72))**2*-4 + 4 + (sqrt(2) - (sqrt(2) + 1 + 2 + sqrt(2)))).\nAnswer: 2*sqrt(2) + 292","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1132, -4511, -10136, -18007, -28124?\nAnswer: -40487","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 14.397 to the nearest integer.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -5107 (b) -1\/21 (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -63.26912 times 0.2\nAnswer: -12.653824","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-14 - 2 - (-1 + 6 + -16)) + -3 - 60?\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 880 and 70.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*k + 9 - 97 = 0 for k.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express 422*p**2 + 335*p**2 - 504*p**2 as w + t*p**2 + j*p and give t.\nAnswer: 253","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 4, k: 3, z: 9}. What is prob of picking 3 z and 1 k?\nAnswer: 9\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = c**3 + 7*c**2 + 2*c - 8. Let f be 6\/4*-4 + 0. Let h be w(f). Solve -4 = d, 2*l - h = 6*d - 2*d for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*f + 2658 = -380. Let v = 222 - f. Solve 0 = -v*n + 5*w - w - 17, n + 5*w + 15 = 0 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/30 - (-11868)\/920?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3052 = -7*j + 3*j. Let g = j - 417. Suppose -3*l = -4*l + g. What is l rounded to the nearest 10?\nAnswer: 350","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 8336920 and 9170612?\nAnswer: 91706120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = q**3 + 11*q**2 + 11*q + 11. Let n be w(-10). Let b = 1 + n. What is the remainder when 1\/b + 9\/2 is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t*t*t**(3\/4))**(-40))**39)**(7\/5) assuming t is positive.\nAnswer: t**(-6006)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g = 3*g + 10, 4*g = -3*k + 32. Suppose 10 = 2*w, -w - w + 26 = k*q. Sort 1, q, -83 in descending order.\nAnswer: q, 1, -83","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 = b + 6*b. Is b != 5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -155*u**3 + 3*u**2 + u + 1. Let p be h(-1). Let q = -166 + p. Which is greater: q or -44\/5?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (4 - 2 + 0)*(-1 - 4 + 6)*(-5 + 5 + 1)*(-6*d**2 + 2*d - 2*d) as b*d + t*d**2 + k and give t.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -51*h + 12 = -47*h. Solve 0 = 4*n + 2*p - 22, 4*n = -h*p + 16 + 9 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1698 and 19.3.\nAnswer: -32771.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*c - 6*c + 312. Is 11 a factor of (-1)\/(-4) + (-21710)\/c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + 7 + 7 + -6?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4812.\nAnswer: 2, 3, 401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Product of 175 and -0.032015.\nAnswer: -5.602625","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 144554 + -7?\nAnswer: 144546","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 4 (b) 0.2 (c) -2 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = o**3 - 5*o**2 + 4*o - 1. Let u be j(4). Let s be 19*(u + 724 - 2). Let g be s + 1\/(-4)*-4. Round g to the nearest 1000.\nAnswer: 14000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 143\/280 and -109\/350?\nAnswer: 1400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) be the second derivative of -f**4\/12 + 3*f**2\/2 + 2*f. Let w be 2\/(-4) + (-14)\/(-4). Calculate p(w).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 18*w**2 - 5*w - 1. Let v(b) = -19*b**2 + 6*b. Let z(k) = 6*u(k) + 5*v(k). Differentiate z(a) wrt a.\nAnswer: 26*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(-3)*(z*z**(2\/17)\/z)\/z assuming z is positive.\nAnswer: z**(-66\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) be the first derivative of k**5\/120 - k**3\/3 - 119*k**2\/2 + 104. Let b(n) be the third derivative of m(n). Determine b(-3).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = -s. Suppose 15 = 5*j, s = -4*i + 3*j + 16 - 5. Suppose 0 = -2*f - k - 6 + 11, k - 20 = -i*f. Solve p = 3*p + f*l + 11, 4*p + 14 = -2*l for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -86*s - 18944 = -2*n - 90*s, -2 = -s. What is the thousands digit of n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 - ((-9 - 3) + (-3 - 0)).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (44\/(-462))\/(2\/(-12))\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 - 0) + 2 + 1.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 7687.84ml in litres?\nAnswer: 7.68784","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 6155 - 6158. Let v = -2 - -6. What is the third biggest value in 46, v, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2.33 + -2.03. Which is the smallest value? (a) t (b) -5 (c) -1 (d) -2\/17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000010627846 to 6 dps.\nAnswer: 0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f\/((f**(3\/5)*f*f)\/f*f))\/f)\/((f\/f**(-3))\/f))\/(((f*f**(5\/4)\/f)\/f*f)\/(f\/(f*f\/f**(-2\/23)))) assuming f is positive.\nAnswer: f**(-3651\/460)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 1 (b) 0 (c) 2\/9 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(26)\/(sqrt(162) + (sqrt(162)*-3 + sqrt(162) - sqrt(162)) + sqrt(162)).\nAnswer: -sqrt(13)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3937 and 115697?\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 6039 and 1463.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -12667099 times -7\nAnswer: 88669693","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 14553172?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 63 = -30*d + 3 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17010\/4536*(-96)\/(((-5)\/(-1))\/1).\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = g**4 - 5*g**3 - 5*g**2 - 9. Let o(i) = 2*i**3 + 2*i**2 + 5. Let l(n) = 2*k(n) + 5*o(n). Find the first derivative of l(f) wrt f.\nAnswer: 8*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a - 15 + 23 = 0 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -194*a + 194*a + 11*a**2 + (2*a + 2*a - 3*a)*(-a + 0*a + 0*a).\nAnswer: 10*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a centimeter in micrometers?\nAnswer: 35000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3687978?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 9246045 divided by 5385?\nAnswer: 1717","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 85*u - 4. What is the hundreds digit of d(6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/((-4)\/1)*(-1)\/(-1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -59145 divided by 3.\nAnswer: -19715","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12414430.\nAnswer: 2, 5, 7, 67, 2647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 21, 8\/3, -1, 0.04, -1\/6 in increasing order.\nAnswer: -1, -1\/6, 0.04, 8\/3, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -370\/3*j**2 + 374\/3*j**3 + 0 - 4\/3*j = 0.\nAnswer: -2\/187, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 2*g + 206 = 1170, -2*f + 651 = -3*g. Let w = f - -313. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 23382384?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-10)\/6 + (-561)\/(-306). Which is the second smallest value? (a) 3 (b) r (c) -3 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-7*t + 5*t + 17*t)*(33*t - 33*t**2 - 33*t) to the form w*t**3 + k*t**2 + q*t + c and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -22 + 27. Suppose m*h = -3 + 8. Sort 3, 5, h.\nAnswer: h, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 6, c: 1, d: 2, z: 2}. What is prob of sequence zdcc?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -10*h**2 + 33*h - 6. Let k(b) = 3*b**2 - 11*b + 2. Let z(a) = -7*k(a) - 2*v(a). What are the prime factors of z(7)?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*q + 2*q + 3*q + (37 - 37 + 25*q)*(1 + 0 + 0))*(3 - 7 + 3) to the form v + f*q and give f.\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 8 (base 14) to base 4\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -5*b**2 + 14*b + 6 - 36 + 4*b**2. Let m be y(11). Suppose -90 - 21 = -m*w. What are the prime factors of w?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -205, -175, -131, -67, 23?\n\"Answer: j**3 + j**2 + 20*j - 227","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = 2*s + 3. Suppose 0 = 5*p - s*n - 970, 7*p - 566 = 4*p - 5*n. What are the prime factors of p?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 61*j**2 - 113*j + 1055. List the prime factors of o(9).\nAnswer: 13, 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 914 divide 226672?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-465)\/(-20) + 235\/(-188). Calculate the highest common divisor of p and 2167.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4284162931 to the nearest integer?\nAnswer: 1624","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = k**3 - 23*k**2 + 46*k - 31. Give y(21).\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 49805839.\nAnswer: 1051, 47389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = w**3 - 21*w**2 - w + 10. Let l be h(21). Let u = l - -19. Find the second derivative of 18 - 10 - u + 3*s + 2*s**2 wrt s.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -18*p**3*r**3 + 87*p**3*r**2 - 5*p**3*r + 3*p**2*r**3 - 46*p**2*r**2 + 2*p + 3 wrt p.\nAnswer: -108*r**3 + 522*r**2 - 30*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 440741 <= 440742?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/(h\/((h\/h**(-1\/6))\/h))*(h**(-7)*h)\/h*h\/h**0*(h**4\/h)\/h)**(-43))**(-25) assuming h is positive.\nAnswer: h**(-24725\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -953\/28 - -135\/4. Let r = -3.03 - -0.03. Which is the nearest to p? (a) 1\/5 (b) r (c) -3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1012 - -23200?\nAnswer: 24212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -950, -791, -526, -155, 322, 905?\nAnswer: 1594","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 4896 = 8*v. Suppose -d - v = -9*d. List the prime factors of d.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 + (6 - -7) + -4.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -76? (a) -1 (b) -9 (c) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 343, 339, 349, 379, 435, 523, 649, 819?\nAnswer: 1039","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m = -4*z + 20, -4*m + 0*z = 2*z - 16. Suppose 0*f = m*d + 4*f - 18, -2*d - 4*f = -16. What is the units digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (5 - (-1471 + -5))\/((-1)\/(-1)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u + k = 21, -270*k - 11 = 2*u - 266*k - 5 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.835 from 434886667.\nAnswer: 434886667.835","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 36 and 7?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zzzwwzwzzwzwwzzzzzw. Give prob of picking 2 w and 2 z.\nAnswer: 231\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*p - 2*p + 110 = 0. Let z = -16 - p. Let j(m) = -m**3 - 3*m**2 + 3*m + 6. Calculate the remainder when j(-4) is divided by z.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 5*z + 367 = 0, 4*s - 69*z = -70*z + 1373. What is the highest common factor of 18 and s?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*d - 0*d + 20. Let l(p) = -88*p**2 - 44*p + 264. Let a(f) = 21*f**2 + 11*f - 63. Let q(s) = 21*a(s) + 5*l(s). What is q(d)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = 4*c - 74, -5*c + 5*w - 2*w = -84. Suppose -43 = 3*j - 142. Suppose -15*o + 12*o + j = 0. Solve 0 = 5*n - 3*s - o - 13, -c = -2*n + 4*s for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.147 take away 489?\nAnswer: -488.853","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -20\/7 - -114\/35. Let h = -0.0588 + -0.1548. Let m = -0.1136 - h. What is the closest to b in 12, 3, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) be the first derivative of d**2 + 2*d + 1. Calculate f(-6).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 15 = 7*d. Suppose d*g - 30 = -3*g. Let s(r) = -6*r - g*r - 10*r + 20*r. Let q(u) = -2*u. Calculate s(q(i)).\nAnswer: 2*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -59? (a) 2\/3 (b) -0.2 (c) -7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 537?\nAnswer: 3, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-21\/4)*y*y\/(y**(-41)\/y))\/(y**(-44)*y*y**(4\/17)) assuming y is positive.\nAnswer: y**(5543\/68)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -6*b**3 + 254*b**2 - 992*b\/3 + 328\/3.\nAnswer: -2*(b - 41)*(3*b - 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 1 d when two letters picked without replacement from {d: 2, r: 2, x: 5, a: 3, m: 3}.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a gram in milligrams?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18 - (-15 + (6 - 0 - (11 - 19))).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ddddrddrrrddddrddd. What is prob of picking 1 d and 2 r?\nAnswer: 65\/408","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 649922 and 1638.\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -952 + 1708. Suppose 5*r - u - 179 = 0. Is r a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (12\/44)\/(24\/(-16)). Let j = 1.8 + -2. Let f = j + 0.1. What is the smallest value in f, -0.3, v?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 142531 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 156.8 and -2.4.\nAnswer: -376.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 100507248, 100507247, 100507246?\nAnswer: 100507245","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x, 2 o, and 1 c when four letters picked without replacement from {k: 1, o: 3, c: 1, x: 5, i: 1}?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 44 = 5*l - 5*z + 14, z - 9 = 4*l for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*t = -12*t + 3*m + 21342, 5*t = -m + 35552. What is the highest common factor of 13 and t?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-14120)\/(-1 + (1 - 4\/(-100))). What is m rounded to the nearest 10000?\nAnswer: -350000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 216.3487 + -217.95. What is r rounded to one dp?\nAnswer: -1.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 455*f - 423 = 408*f for f.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 599466?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-18*l + 6*l**2 + 18*l)*(-18*l**2 - 251*l + 251*l + (-3 + l + 3)*(2*l + 4*l - 4*l)).\nAnswer: -96*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - 0 - (-6 + 11)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -615*r + 1241*r - 607*r. What is c(-1)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 490 minutes before 4:20 PM?\nAnswer: 8:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (-222)\/(-78) + (-8)\/(-52) - 1\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -651 + 914 - 3371 - 5672*j**2 + 5429*j**2 wrt j?\nAnswer: -486*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 93.00443 years?\nAnswer: 9.300443","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of -240.9 and -8832.\nAnswer: 2127628.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oub when three letters picked without replacement from {w: 1, i: 2, o: 2, b: 1, u: 1, m: 1}.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 + (13 - -4 - 2).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(12\/11)\/k*k*k*((k\/(k**7\/k)*k*k)\/k)\/k)**23)**(-16) assuming k is positive.\nAnswer: k**(11776\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 12941?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.62544771*4.\nAnswer: -6.50179084","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -2 + -2*13\/(-8) + -2. What is the closest to 0 in r, -2, 3?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = y**2 - 11*y**3 + 23*y**3 + 167 - 175 + 3*y. Let k(h) = -23*h**3 - 2*h**2 - 7*h + 17. Let c(m) = 3*k(m) + 7*w(m). Differentiate c(l) wrt l.\nAnswer: 45*l**2 + 2*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -20*x**3 + 3*x**2 + 2*x + 3. Let a(n) = -n**3 - n**2 - 1. What is 6*a(u) + 2*m(u)?\nAnswer: -46*u**3 + 4*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -20, -32, -42, -50, -56, -60?\nAnswer: -62","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve l + 4*g = 25, -80 = -38125*l + 38120*l - 5*g for l.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4.014 + 4.314. Let o = -25.5 + 4.5. Which is the closest to -10? (a) p (b) -0.3 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 318, 0, 3, -4707 in decreasing order.\nAnswer: 318, 3, 2, 0, -4707","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 182 and 11?\nAnswer: 2002","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3\/1010326 + -450609257\/1300289562. Let r be -6 - -6 - (-4)\/234. Let g = r - c. Find the common denominator of g and -89\/10.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*g - 3*n = -7*n + 9, -4*g - 5*n + 9 = 0 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kk when two letters picked without replacement from {k: 2, p: 10}.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -1461 (base 7) to base 12\nAnswer: -406","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 117 minutes before 1:29 PM?\nAnswer: 11:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(78) + (sqrt(78) - (sqrt(78) - (sqrt(78) - (-2*sqrt(78) - sqrt(78))*5))) + sqrt(78) + sqrt(78))\/(-3*(sqrt(6) - sqrt(24))).\nAnswer: 76*sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -661036*o**3 + 6372404*o?\nAnswer: -3966216*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 5563.00773 minutes?\nAnswer: 0.5518856875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -685, -3234, -7471, -13390, -20985?\nAnswer: -30250","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 21963416939 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*-3*sqrt(34)\/sqrt(2).\nAnswer: -3*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36*f**4\/7 + 66088*f**3\/7 - 1616544*f**2\/7 + 9998208*f\/7 - 2142720\/7 = 0.\nAnswer: -1860, 2\/9, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 259, 515, 767, 1021, 1283, 1559, 1855, 2177?\n\"Answer: g**3 - 8*g**2 + 273*g - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -56.63, -0.4, -0.5, -5.\nAnswer: -56.63, -5, -0.5, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eeweww. Give prob of sequence weew.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -k**3 + 3*k**2 + 7*k + 5. Let p = -18 + 65. What is the remainder when p is divided by d(4)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) be the first derivative of 12*z**5\/5 + 2*z**2 - 148*z + 179. What is the derivative of v(p) wrt p?\nAnswer: 48*p**3 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 4*t - 84 = 48, -135 = -3*w + 3*t. Solve 35*m + 17 = w*m for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1\/(-2) + (-23)\/(-2). Let l = z - 8. Suppose -2*x - 2*p = 0, -l - 1 = -5*x - 3*p. Calculate the least common multiple of x and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1\/18 - 13\/90. Let j = 5.109 + -0.009. Let p = 5 - j. Which is the third biggest value? (a) p (b) -1 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1205)\/(-25) + (-1)\/5. Let w = u - 32. Calculate the highest common factor of w and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.1 + 2.3. Let k = -532242.199844 - -532240. Let d = z + k. Round d to five decimal places.\nAnswer: 0.00016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 3, -12, -0.02?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:31 PM and 9:28 PM?\nAnswer: 237","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 376953?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) be the third derivative of 17*c**4\/24 - 11*c**3\/6 + 22*c**2. What is the first derivative of r(l) wrt l?\nAnswer: 17","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 - (11 - (78 - (-7 - -17)) - -13)?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2548 and 15848?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) be the third derivative of n**5\/3 + 5*n**4\/24 - n**3\/3 - 2*n**2. Let r(x) = -51*x - 1884. Let p be r(-37). What is the hundreds digit of z(p)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 22*d**4 - 74*d**2 wrt d.\nAnswer: 528*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 7 - 9. Let r(b) = -126*b**3 - 4*b**2 - 2*b + 4. Let i be r(t). What is i rounded to the nearest 10000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-12)\/(-21) + 102\/(-252). Which is the nearest to -2? (a) -0.4 (b) -0.1 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -4*d**2 + 2*d - 6. Let r(m) = -5*m**2 + 2*m - 7. Let t(h) = -6*f(h) + 5*r(h). Let z be 3*6*(-2)\/18. Calculate t(z).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = s**2 - 5*s + 10. Let b be 81\/(-27) + (-23 - -1). Let u(c) = c + 27. Let p be u(b). Let v be y(p). Solve 6*a = 2*a - v*j + 20, 4*a = -3*j + 20 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by 52987.\nAnswer: -1\/52987","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -23*a - 145*a + 2016. Solve 11*p + a + 10 = 0 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Product of -0.13 and 9.1.\nAnswer: -1.183","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 30, -4, -5, 20\/7, 4 in decreasing order.\nAnswer: 30, 4, 20\/7, -3, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 117 and 90?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/6? (a) 3 (b) -5 (c) -3\/5 (d) 4\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-64)\/(-12))\/(((-14)\/(-159))\/7).\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1444 and 2888.\nAnswer: 2888","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is s in 92\/5*s**3 - 1008\/5 + 4\/5*s**5 - 1152\/5*s - 284\/5*s**2 + 44\/5*s**4 = 0?\nAnswer: -7, -3, -2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -174 + 170. Let w be 8 - (6 + 4) - (2 + z). Factor 2\/9*r**2 + w*r + 0 - 4\/9*r**3.\nAnswer: -2*r**2*(2*r - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4559 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -2045, -1921, -1715, -1427, -1057, -605, -71?\n\"Answer: 41*f**2 + f - 2087","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 34 and 606113937.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/3 of a decade in months?\nAnswer: 280","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 122100 (base 4) to base 15.\nAnswer: 770","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1.9 - 2. Let y(c) = 3*c**3 - 1. Let k be y(1). Let u be 7\/4 + (k - 3). What is the closest to t in -4, u, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = h**2 - 3. Is d(5) a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -248373496 and -5.\nAnswer: 1241867480","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x\/x**1*x**(-2))**6 assuming x is positive.\nAnswer: x**(-6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -2367659, -4735322, -7102979, -9470630, -11838275, -14205914, -16573547?\n\"Answer: 3*k**2 - 2367672*k + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2*23\/184)\/(6*5\/120).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2082)\/(-3) + -2 - -1. Let p = r - 466. Let t = p + -104. Calculate the remainder when t is divided by 31.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -16619 minus 0.0679989294?\nAnswer: -16619.0679989294","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 2 + 3)*(3 + 3*w**2 - 3)*(2*w**2 - 2 + 0*w**2 + 0*w**2).\nAnswer: 6*w**4 - 6*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -524296\/109 - -4810. Which is smaller: r or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4670173?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 307 - -132. Let w = u + -1319\/3. Let d be (10\/(-8))\/((-14)\/8). Put d, w, 0 in descending order.\nAnswer: d, 0, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 59064823?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1\/588 - -17929\/2940. Suppose 5*y + 346 = 3*m - 2316, -4*y + m - 2124 = 0. Calculate the common denominator of i and 106\/371 + y\/(-56).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(5\/15 - 5) + -1.\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 8*r + 24. Let p be k(6). Calculate the highest common divisor of p and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-24)\/(-9)*((-2220)\/80)\/37.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4\/45? (a) 0.16 (b) 3 (c) 1 (d) -0.2 (e) -4\/363\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 4 - -85?\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that 3*u**4 + 2838*u**3 - 186348*u**2 + 1209768*u + 61133184 = 0.\nAnswer: -1008, -14, 38","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14 + 0.116.\nAnswer: 14.116","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 76? (a) 1\/4 (b) -3 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-46 - (-67 - 12)) + 2 + (-2 - 6)?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 17.1 - 17. Let d = 32.375076 + -32.475. Let z = y + d. What is z rounded to 5 decimal places?\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = 2*q + 16. Suppose -f = -z - 6, -3*f = -0*z - 2*z - q. Let v(l) = l**3 + 11*l**2 + 2*l + 1. Calculate v(z).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c = -3*q + 21, 0 = -5*c - 5*q - 4 - 11 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 123*z**3 + 2*z**4 - 20*z**3 + 489 - 522 wrt z?\nAnswer: 8*z**3 + 309*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -21310.00235 - -21310. Round i to 4 dps.\nAnswer: -0.0024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -108 + 109. Sort -4, -3, 2, a in descending order.\nAnswer: 2, a, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 65874139 a multiple of 36?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 50392*b + 315 = 50413*b for b.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) be the second derivative of f**4\/4 - f**3\/3 - f**2\/2 + 2*f. Let w(c) = -c**3 + 3*c**2 + 2. Let v be w(3). What is the units digit of a(v)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -79784*j**2 - 10427*j?\nAnswer: -159568","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-14)\/(-10) + -3 + 1. Which is the nearest to d? (a) 0.4 (b) -2\/9 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*5*(sqrt(121) - (-2*sqrt(121) - sqrt(121))))\/((-2*2*sqrt(77))\/sqrt(7)).\nAnswer: 25*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jjxjddjdjwdiidd. Give prob of sequence wddx.\nAnswer: 1\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide -699 by 3.\nAnswer: -233","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 137 divided by -8\nAnswer: -137\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 581404?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1 - (1 + 0)*-1. Suppose 6*v + 8 = w*v. Let d = -11 + 10.7. Which is the second smallest value? (a) d (b) v (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 21\/5 of a century?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 3\/32 of a week?\nAnswer: 945","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.4, -3\/38, -6.7?\nAnswer: -3\/38","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 29\/5 of a centimeter in micrometers?\nAnswer: 58000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let 18 - 79 + 847259*c**2 - 1204224*c + 2682*c**3 + 61 + 3*c**4 - 250523*c**2 = 0. What is c?\nAnswer: -448, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - 12 - (28 + -34 + (6 - 1)).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -27*d**4*n - 405*d*n**2 - 81553*n**2 wrt d?\nAnswer: -108*d**3*n - 405*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -2*2*(10 + -11)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o = -u + 12, -3*u + 0*u - 2*o + 2 = 0 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (22\/9 + -2)*-6?\nAnswer: -8\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 75 and 798.\nAnswer: 19950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (20\/(-120))\/((-4)\/30). Is o > 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 20268 (base 12) to base 3\nAnswer: 2010101122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/(-12) - (270\/(-40))\/1?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 = -2*i - 10. What is the least common multiple of 12 and i?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = m**3 - 3*m**2 - m + 2. Let h(f) be the second derivative of -f**5\/20 - 7*f**4\/6 - f**3\/6 - 6*f**2 + 15*f. Let w be h(-14). Calculate d(w).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/14)\/((8\/2)\/(-28))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 399912419?\nAnswer: 2803, 142673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a kilometer in centimeters?\nAnswer: 30000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(-2\/69)\/(a\/((a\/a**(-8))\/a)*a) assuming a is positive.\nAnswer: a**(412\/69)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -694.3 - 0.4\nAnswer: -694.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 - 31 = -5*l + 5*i, 24 = 4*l - 2*i. Let o be (-2)\/8 - (-26)\/104. Let a be o - (5 + 2 + -11). Solve 7 + l = a*b for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -110 - 6*v - 31 - 455 + 2*v**2.\nAnswer: 2*v**2 - 6*v - 596","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -223.0142 - -223. Let o = 0.5142 + v. Let d = -4 + 2. Which is the nearest to d? (a) 0.4 (b) 2 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(204)*2 + (sqrt(204) - (-1*sqrt(204) + sqrt(204))*3))\/((sqrt(12) - (sqrt(12) + (sqrt(300) - -1*sqrt(300) - sqrt(300))))*-4).\nAnswer: 3*sqrt(17)\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = z**3 - 27*z**2 + 23*z + 54. Calculate l(26).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -2 (b) -1\/9 (c) 10 (d) 3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -i**3 + 8*i**2 - 11*i - 8. Let c be a(6). What is the remainder when 40 is divided by (-3 - c)\/(-1 - 30\/(-33))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5953592*k**2*t*z**3 + k**2*t*z**2 + 3*k*z**3 - 16325*t*z**3 - 2*t*z - 19*t wrt k?\nAnswer: -11907184*t*z**3 + 2*t*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 18946716277 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2604\/104717, -1, -0.5 in decreasing order.\nAnswer: -2604\/104717, -0.5, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) be the second derivative of y**4\/6 - y. Let w(b) = 5*b + 16*b - 15 + 15 + 3*b. Calculate w(z(r)).\nAnswer: 48*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 97562125?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*p**3\/13 + 12*p**2\/13 + 16*p\/13.\nAnswer: 2*p*(p + 2)*(p + 4)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u = 3*p + 15, 0 = -5*u + p - 2 + 18. Suppose -u*t + 41 = -112. Let m(j) = -2*j + 10. What is the remainder when t is divided by m(-4)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 5) to base 8\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 463178?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 10 - -21443041?\nAnswer: 21443101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out 6 - 2591.\nAnswer: -2585","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 2*m - 7. Let w be s(4). Let v = 294 - w. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 5 + (-4 - 564\/(-4)). Differentiate -2*t - 146 + 6*t**3 + 2*t + n wrt t.\nAnswer: 18*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -3*q - 3*q + q**3 + 6*q**2 - 2*q**2. Let u = 46 + -32. Let v be u\/(-3) + (-2)\/6. What is g(v)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*d**3 + 82*d - 96*d + 14*d.\nAnswer: -7*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) be the second derivative of -19*w**4\/12 - 11*w. Determine n(-1).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -200.18258 - 0.08942. Let p = l + 200. Round p to two decimal places.\nAnswer: -0.27","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m = 2*b - 7 + 3, 3*m - 6 = 0. Let d(s) = 6980001*s**2 - 1. Let w be d(b). What is w rounded to the nearest one million?\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 15\/464 - -681\/464. Let h(b) = 2*b - 4. Let k be h(3). Let g be (-1)\/k - 15\/(-42). What is the second biggest value in g, n, -2\/11?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*w - y + 2092182, -12553128 = -12*w - 11*y + 14*y. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -0*z - 76*z - 149 - 611 for z.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) be the third derivative of 2*g**5\/15 - 2*g**2 - 5*g. Let t(n) = 12*n**2. Give t(w(v)).\nAnswer: 768*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 3\/2, -1\/2, -2, -9\/5, -6, 7 in ascending order.\nAnswer: -6, -2, -9\/5, -1, -1\/2, 3\/2, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by -72.\nAnswer: -5\/72","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = j**2 + 12*j - 12. Suppose 8*p - 1780 = -12*p. What is the remainder when p is divided by k(-15)?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ut when two letters picked without replacement from mtzhftu.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 + 13 + -6 + 4 + 3?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 91\/16144014 and 47\/1026498.\nAnswer: 177584154","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (8\/(-6) + 2)\/(18\/(-189))\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2 - 1.9. Let f be 2*2\/(-4) - 125\/(-5). Let w be 17\/102 - (14\/f)\/(-1). What is the third biggest value in y, w, -0.08?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-260)\/(-6)*(-72864)\/(-192)?\nAnswer: 5, 11, 13, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x, 1 q, and 1 d when three letters picked without replacement from xvdxvxbbqddxbddxdbvv.\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -168409, -169154, -169899, -170644, -171389, -172134?\nAnswer: -172879","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 14*l - 46. Let o be r(-5). Let f = o - -333. What is the units digit of f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) be the second derivative of 11*j**4\/2 - j**3\/2 - 147*j**2\/2 + 1183*j + 1. Differentiate d(u) with respect to u.\nAnswer: 132*u - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2164 is divided by 239.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 0 + 2*z - 3*z**2 - 2 + 0*z + 5*z**2. What is the units digit of i(-2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = n + 4. Let y = -17 + 11. Let h be j(y). Let v be 3 + 10\/h + 3. Put -1, -5, v in decreasing order.\nAnswer: v, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find f, given that 85 - 56 - 32*f**3 + 33*f + 8*f**4 - 64*f**2 + 99 + 31*f + 4*f**5 = 0.\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 7 in 45, 1, 7, 2, -0.5, -11?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1023 + -8106?\nAnswer: -10130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 1, -17, -49, -95, -155?\n\"Answer: -7*v**2 + 3*v + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) be the third derivative of v**5\/60 + 17*v**4\/24 + 5*v**3\/3 - 15*v**2. Let k be j(-17). What is the highest common divisor of 25 and k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -46*b**5 - 4*b**4 + 92*b**3 + 8*b**2 - 46*b - 4 = 0. Calculate b.\nAnswer: -1, -2\/23, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is (49188 + -2)*(-10)\/(-7 + -13) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/3? (a) 0.05 (b) 1 (c) 2\/225\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/z**(-1))\/z**(-3)*(z\/z**0)\/z**5 assuming z is positive.\nAnswer: z","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -1 - (7 - (-513)\/(-76))\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s - 422*p - 93 + 78 = -417*p, 0 = 2*s - 0*s - 5*p - 15 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 283 divided by -94.\nAnswer: -283\/94","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -28 and 17\/3506?\nAnswer: 3506","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 61*m**4 - 15*m**2 + 8*m. Let f(h) = -51*h**4 + 13*h**2 - 7*h. Let g(d) = -6*f(d) - 5*q(d). Determine n, given that g(n) = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -191 - -221. Suppose 5*h - 347 = 28. What is the highest common divisor of h and k?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/(-126)*-7)\/((-2)\/(-30))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 222.\nAnswer: 2, 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 6.7 (b) -0.5 (c) -9 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1254461.\nAnswer: 13, 96497","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 18 and 1234383876.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 70575211 to the power of 1\/3, to the nearest integer?\nAnswer: 413","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -73+-39235589\nAnswer: -39235662","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 0 - 4 + 14*w**3 + 10 - w**2 - 7 + 3*w + 13*w**3. Give c(1).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -4*f**3 - 29*f**2 - 14*f - 153. What is the remainder when m(-8) is divided by 137?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = p**2 - p. Let i(h) = -2*h**2 + 3*h - 1 - 2*h + 6*h. Suppose -4*c = -4*j + 2*j - 18, 3*c = -4*j + 19. Determine j*i(q) + 5*r(q).\nAnswer: 3*q**2 + 2*q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j + 14 = 4*j for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = h**3 - 8*h**2 + 100*h - 1458. Determine v(11).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*f = -135*f + 615 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 679 minutes before 9:53 AM?\nAnswer: 10:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 446 minutes after 3:15 AM?\nAnswer: 10:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -7764\/5 + 1553. Let u = 2 + -6. Let h = u - -3.8. What is the nearest to -0.2 in h, -1, m?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 5*x**3 - x**2 + 2*x - 1. Let w be u(1). Suppose w*o + 0*o = 10. Suppose 2*g + 2*p = 28, -g + 0*p + 5 = -o*p. Is g a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36*t = -402442 + 402226 for t.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 139*w**4 + 82?\nAnswer: 556*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 2, q: 3, z: 1, u: 4}. Give prob of picking 1 u and 1 q.\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 884436 and 48?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 5*k = -2*k + 49, -5*l - k = -57. Does 5 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26 - 22 = r. Suppose -5 = -r*j + 23. Does 6 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 143833 is divided by 47436?\nAnswer: 1525","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ye when two letters picked without replacement from qey?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 2429670026 to the nearest integer?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -4, -10, -16?\n\"Answer: -6*w + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 250635550 to the nearest ten thousand.\nAnswer: 250640000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 0.149498*0.2\nAnswer: 0.0298996","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 435241.8 millimeters in meters?\nAnswer: 435.2418","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 38693 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 208*d + 1426 = 207*d. What is the remainder when (-2045)\/(-23) - 124\/d is divided by 28?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7\/((-14)\/8)*(-54)\/(-24).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 252, 2, 10, -5 in increasing order.\nAnswer: -5, 0, 2, 10, 252","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) be the third derivative of i**7\/315 + i**6\/60 + i**5\/45 - 21*i**2. Factor u(x).\nAnswer: 2*x**2*(x + 1)*(x + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of y**3 + 230*y**2 + 484 wrt y.\nAnswer: 3*y**2 + 460*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t = 4*i - 2, 11*i - 2 = 10*i - 2*t for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is (-370 - -1)*(20 + (-1335)\/45) a multiple of 41?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -6.84608713 to 1 dp.\nAnswer: -6.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15079532.\nAnswer: 2, 13, 22307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (0 - -1)*(4 - 0). Suppose 5*q = -5*b + 2*q + 12, 4*b - 4*q - 16 = 0. Let d = k - b. What is the units digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.3 + 831.\nAnswer: 830.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/3? (a) -14.58 (b) -5\/4 (c) -6\/7 (d) -4 (e) -2\/19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1.27 - 1.57. Let o = 0 + -2. Which is the biggest value? (a) o (b) 0 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -2511*v + 47659. Calculate q(19).\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4769 and 35?\nAnswer: 166915","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20337093?\nAnswer: 3, 7, 167, 1933","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a + 23 = -5*f + 13, 0 = -4*a + 2*f + 4 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1 - 1)*2\/(-14). Let i be (-5)\/(-2)*(-3)\/15. Let h be (-2 - -4) + (-1 - -4). Which is the smallest value? (a) i (b) h (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((1 + 0 + (sqrt(3) - (sqrt(3) + -2)))**2 + -1).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -22750*b + 1410503. What is y(62)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -d**2 - 3*d + 7. Let o be s(-6). Let t(c) = -2*c**2 + 2*c - 5. Let r be t(-3). Let x = o - r. What is the remainder when 35 is divided by x?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21177 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 highest common divisor of 402759 and 81?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -474, -5, -1, -8, -62 in ascending order.\nAnswer: -474, -62, -8, -5, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*j**2 + 14*j**2 - 4*j**2 - 6*j**2 - 2 in the form a*j + r*j**2 + z and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-12)\/7)\/6)\/((-2)\/(-2))?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3066?\nAnswer: 2, 3, 7, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5 - 0. Let d = -4 + 4.4. Which is the third biggest value? (a) p (b) -2 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2\/5 (b) -6 (c) -2\/7 (d) 302\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 less than -100068.7?\nAnswer: -100068.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1630 is divided by 1629?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -y**3 + y**2 + y - 5600000. Let s(f) = -10*f - 80. Let c be s(-8). Let j be l(c). Round j to the nearest 1000000.\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 168 and (0 - (-1)\/(-3))\/((8 - 20)\/2016).\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -h**2 - 39*h + 45. Let j be q(0). Sort j, 18, -1.\nAnswer: -1, 18, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 49 minutes before 3:33 PM?\nAnswer: 2:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/2)\/(-14*8\/32)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -555 or 6\/617?\nAnswer: -555","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 11025*v**5 + 7*v**4 + 9625*v wrt v?\nAnswer: 220500*v**3 + 84*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 2) in base 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 30 + -3. Let l = 73 - v. Let q = -26 + l. Solve -2*y - 2*y = -q for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 26418 and 420.\nAnswer: 264180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 89146.\nAnswer: 2, 29, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (362\/10)\/1 + (-74)\/370. Suppose -x*n = -4*n. Solve n = 3*l - 9 + 12 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 26*b**2 - 26981*b + 10116615 wrt b?\nAnswer: 52*b - 26981","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16 = 17*m - 13 + 14 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-35*p - 71*p + 33*p - 127*p)*(-1 - 2 - 3) to the form t*p + m and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -b**2 + 429191557*b**3 - 429191560*b**3 - 3*b**2 - 14*b - 10 to r*b + q*b**3 + v + l*b**2 and give v.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0 (b) 1\/7 (c) -0.5 (d) 528\/41\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5 + 15. Suppose 2*z - 3*q + 14 = 0, 0 = 4*z - 6*z - 2*q - 4. Let c = z + 6. Solve c*v - 14 = 4*m, 5*v + m - 34 = -s for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-w**2 + 2 - 2)*(5*w - 147 + 147 + w**2) to t*w + m + u*w**4 + x*w**3 + h*w**2 and give x.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 0 - 1130?\nAnswer: -1130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (6\/(-15))\/((-6)\/45). Suppose -7*k = -5*k + q*r - 1588, 0 = -3*k + 2*r + 2408. Does 40 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -616896 divided by 2856\nAnswer: -216","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 31 + 18. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a, 1 r, and 1 v when three letters picked without replacement from rvvaqrrarvrarrrrrqrr?\nAnswer: 9\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 3*264\/36 + -16. Let c(b) = b**2 + 6*b + 8. Let o be c(-6). Solve f = -o*j + 5*j for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -a**3 - a**2 + a - 1. Let i(q) = q**2 - q + 1. Let b(c) = c**3 + 5*c**2 - 4*c + 7. Let t(w) = -b(w) + 2*i(w). Give 3*f(y) - t(y).\nAnswer: -2*y**3 + y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 q when three letters picked without replacement from {q: 13, k: 3}?\nAnswer: 143\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 50\/(-12)*(-27)\/90?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 3 - (-6 + 10)*1\/4. Suppose -4*v + 2*r = 5*r - 7, -4*v - 2*r = -z. What is the remainder when 41 is divided by 5\/(5\/v) - -13?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.07252496 and 2.\nAnswer: 0.14504992","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 457198 is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s + 24 = 32 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(11) + -5)*2 + (sqrt(11) - (sqrt(704) + 5)) + -5.\nAnswer: -20 - 5*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -37 - -36. Let l be -1 - t - 0\/2. Let b(c) = 3*c - 9. Let i be b(4). Solve -i*k + 2 + 1 = l for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:11 AM and 9:08 AM?\nAnswer: 117","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -k**2 - 16*k + 21. Let c be a(-17). Suppose 0 = c*p - 0*p - 80. Calculate the greatest common factor of 8 and p.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -15226*q**3 + 56326*q + 1 wrt q?\nAnswer: -91356*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -8*k**2 + 4*k - 1. Let f(n) be the first derivative of 4*n**2 - 21*n - 25. Let t be f(4). Let y(b) = 15*b**2 - 7*b + 2. Determine t*s(o) + 6*y(o).\nAnswer: 2*o**2 + 2*o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) be the second derivative of -5*u**4\/12 - 2390*u. Let f(q) be the second derivative of -2*q**3\/3 - q. What is f(m(l))?\nAnswer: 20*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/3 in 2\/15, 31, 2\/7, -1, 4, 1\/4?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4435 is divided by 826.\nAnswer: 305","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-24)\/(-9)*-5)\/((-2)\/3). Suppose -4*u = -3*r - 27, -4*u - 2*r + 1 + 1 = 0. Solve -h + c = u*h for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 1338*s - 149856. Let r be v(112). Solve r*w**2 + 1\/3*w**3 - 7\/3*w - 2 = 0 for w.\nAnswer: -2, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -18, 2\/13, -0.1, 0.5, 5 in descending order.\nAnswer: 5, 0.5, 2\/13, -0.1, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 106837 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b + 52 = 4*b. Suppose -5*x = -x + 444. Let c = -74 - x. Calculate the remainder when c is divided by b.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 35\/(-50)*3*(-23685)\/77371\nAnswer: 9\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = y**3 - 17*y**2 + 15*y + 13. Let r be 78\/(-24) - -4 - (-122)\/8. Let o be f(r). Which is the closest to o? (a) -0.5 (b) 11 (c) 1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 12244646, 24489280, 36733914?\n\"Answer: 12244634*j + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of 21 and 2710793.\nAnswer: 56926653","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 799 + -409407?\nAnswer: -408608","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 + (1 - (-4 + (-4 - -3) - -8))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-80)\/70 + 1 - 240\/(-14). Let u be (4 + -1)*28\/21. Solve 2*s - 10 = u*x, x + 5*s = 3*x + q for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2 - 2.5. Which is the second biggest value? (a) 0.3 (b) -1 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 104 minutes after 12:39 AM?\nAnswer: 2:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 308568 to the power of 1\/2, to the nearest integer?\nAnswer: 555","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = d**2 - 17*d - 16. Let b be x(18). Suppose 5*h - 335 = 5*v, -3*v + 99 = 2*h + b*v. What is the units digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3740530?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -1802*p - 2. Let z(n) = -164*n**2. What is u(z(y))?\nAnswer: 295528*y**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1*1)\/(1833\/(-689)). Let w = 2\/47 - x. Let c = 0 - 0.4. Which is bigger: w or c?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(-6)*6\/((-6)\/(-3)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -61 + 110. What is the remainder when 683 is divided by v?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -26*d**2 - 12*d + 128. Let v(t) = -16*t**2 - 7*t + 64. Determine 7*v(p) - 4*z(p).\nAnswer: -8*p**2 - p - 64","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 - 630*j**2 + 1744*j**2 + 117*j**2 + 1 - j**3 + 1738*j**2 in the form s + z*j**2 + d*j**3 + l*j and give z.\nAnswer: 2969","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 7*f - 5*r = -9, -5*f - 2*r = -15. Suppose 0 = -4*x + h + 2 + 2, f*x = 2*h - 2. Find the first derivative of -255*o + 10*o**x + 255*o - 3 wrt o.\nAnswer: 20*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*u**2\/4 - 138243*u\/2 - 6370375683\/4 = 0. Calculate u.\nAnswer: -46081","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-11)\/(-1) + (17 - 3 - 21). Solve -j = 17*q - 21 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1*55.\nAnswer: -5.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5363 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*-1*sqrt(300)*1)**2 - (sqrt(300) + sqrt(300)*-1 + 2 + -5)**2.\nAnswer: 291","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 0.1 (b) -4 (c) 4 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 68.9784 to the nearest ten.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 3, v: 2}. Give prob of picking 2 g.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 2 + 6*z)*(3 + 0 - 1)*(2*z + 344 + 327 - 653) to the form q + g*z**2 + o*z and give g.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -25346104 - 13?\nAnswer: -25346120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43*z + 55 = -38*z. What is the second derivative of 6*t - z*t**2 - 3*t - 2*t + 7*t wrt t?\nAnswer: -22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 4, -2\/19, -29\/8, -33, -2\/23?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: What is 11\/(-5) + (-4)\/(-2)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(1\/28)\/h)**27\/(h*h\/h**22*h*h*h**19\/h) assuming h is positive.\nAnswer: h**(-729\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10811025.\nAnswer: 3, 5, 48049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (-145 - -207) + -8 + -47?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 43 divide 1201?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 43?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -2*o. Let w(k) = -443504*k**2 + 3. What is b(w(d))?\nAnswer: 887008*d**2 - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -131 + 366. Let w = 462 + d. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q**5\/3 + q**4 - 76*q**3\/3 - 96*q**2 = 0. What is q?\nAnswer: -8, -4, 0, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 858.\nAnswer: 2, 3, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4.2 - -4. Let x = -0.19 - g. Let y = 0.09 + x. Which is bigger: -5\/4 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q**(-17))\/(q*(q**(-1\/15)\/q)\/q))\/(q**5)**(2\/5) assuming q is positive.\nAnswer: q**(-254\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 913499?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) be the second derivative of t**4\/18 + 40*t**3\/3 + 464*t**2\/3 - 2260*t. Factor o(f).\nAnswer: 2*(f + 4)*(f + 116)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2943 - -4168. Suppose -15 = 3*f, 3*o + 4*f + j = 4*o. What is the units digit of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 14\/4 + (18\/4)\/3. Is w*-2*521\/(-2) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 604695 and 910?\nAnswer: 455","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*d**5*n + 151*d**4*n + 2*d**3*n - d**2*n - 51*d**2 wrt d?\nAnswer: 120*d**2*n + 3624*d*n + 12*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 less than -13121890130552?\nAnswer: -13121890130558","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d = 4*h + 967518 + 971410, 2*d = -4*h + 1292572. Round d to the nearest 100000.\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -14, -3, 25560, 5 in descending order.\nAnswer: 25560, 5, -3, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3025 - 3020. Let q(k) = 20*k + 4. Let p be q(3). Suppose -p = h - g*h. What is the remainder when 26 is divided by h?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3715\/408 + 133\/136. What is the common denominator of -29\/255 and k?\nAnswer: 1020","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -3*b**2 - 12*b + 39. Let d be h(-6). Suppose -42*c + 39*c + 328 = u, -951 = -d*u + 2*c. List the prime factors of u.\nAnswer: 11, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r - 13 = 6*f - 5*f, 0 = -r - 5*f - 29 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 plus 64833?\nAnswer: 64839","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 3\/4, 3, 5, 133?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1183 a factor of 2293974?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -53\/1077 bigger than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2, -1\/4, -225, -0.4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 39 + 11. Suppose t = k - 5*k - 42, -4*k = 5*t + i. Let v = 2 + k. Is v less than or equal to -9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1842345 divided by -3.\nAnswer: 614115","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 63 - 41. Let d(b) = b**2 - 20*b - 44. Let w be d(l). Solve -3*v - 5*p + 14 = w, -2*v - p - 4 = 2*v for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -4*a + 3. Let n(t) = -4*t + 3. What is 3*n(r) - 4*z(r)?\nAnswer: 4*r - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 80316, 80320, 80324, 80328, 80332, 80336?\nAnswer: 80340","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3098176635 to the nearest integer?\nAnswer: 1458","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*t**5 - 6*t**3 + 4*t**2.\nAnswer: 2*t**2*(t - 1)**2*(t + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 112176051 and 10?\nAnswer: 1121760510","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 + (-3 - 1) + 0 + -2?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2)\/(-4) - (0 - 0). Let f = -3 - -6. What is the third biggest value in z, 2\/3, f?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/4? (a) -28 (b) -2\/9 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1471559?\nAnswer: 179, 8221","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -24\/5 in 181, -4, -2?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:15 AM and 11:06 AM?\nAnswer: 591","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) be the second derivative of n**6\/210 - 2*n**5\/35 - 11*n**4\/28 + 3*n - 140. Let v(y) = 0. Calculate y.\nAnswer: -3, 0, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 58*o - 132 + 74 = 0 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4111736625?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(95)*1 - sqrt(95)) + 5*(sqrt(95) + sqrt(95) + sqrt(95)*2))\/(sqrt(60)\/(-1*sqrt(588) - sqrt(12))).\nAnswer: -168*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -2, -1, 7, 2 in increasing order.\nAnswer: -2, -1, 0, 2, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 - 19*h + 34*h + 19*h to l + m*h and give l.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 77, -4, -3, -1, 4, -8 in descending order.\nAnswer: 77, 4, 1, -1, -3, -4, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1\/5, -250\/7, 2\/15?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2750\/70 - (-2)\/(-7)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 25040 is divided by 6091?\nAnswer: 676","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*g**2 - 13*g**2 + 66*g**2 - 39*g**2.\nAnswer: 5*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -30 + 81. Suppose -5*q = -43 - 42. Calculate the greatest common factor of q and u.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 26.9 - 26.90000133. Round u to seven decimal places.\nAnswer: -0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2\/5, -1, -18.46, -1\/5, -8, -6?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -8*y + 1. Suppose 0 = -5*g + 2*h - 8, -2*g - 9 = -2*h - 7. What is t(g)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) be the third derivative of 55\/6*l**3 + 10*l**2 + 0 + 0*l - 1\/2*l**4. Differentiate a(y) wrt y.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3.9 + -3.5. Put -2, o, -4\/9, 7 in descending order.\nAnswer: 7, o, -4\/9, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e and 2 s when four letters picked without replacement from ddlldesddsnelssd?\nAnswer: 3\/910","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -140608940 to the nearest 1000000.\nAnswer: -141000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Are 26 and 13 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -560 or -21241\/38?\nAnswer: -21241\/38","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) be the second derivative of p**7\/105 - 4*p**6\/75 + 3*p**5\/25 - 2*p**4\/15 + p**3\/15 + 15*p. Determine a, given that f(a) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9265896 divided by -9.\nAnswer: -1029544","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -901*m**2. Let s(j) = j + 109. Calculate s(x(t)).\nAnswer: -901*t**2 + 109","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) be the second derivative of z**6\/15 + 272*z**5\/5 + 271*z**4\/3 - 544*z**3\/3 - 543*z**2 - 177*z - 6. Factor p(m).\nAnswer: 2*(m - 1)*(m + 1)**2*(m + 543)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 11537 and 264189?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(125) + -1)*-4)**2.\nAnswer: -160*sqrt(5) + 2016","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 12064*h**2*x**2 + 2*h**2*x - 3*h - 641 wrt x?\nAnswer: 24128*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -1, 810 in descending order.\nAnswer: 810, 1, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -294*a**3*w + a**3 - 4*a**2*w - 55*a*w - 2*w wrt a?\nAnswer: -1764*w + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 3\/(-18)*3*8. Suppose -5*n = -n + 56. Suppose -28 = 5*x - 2*c - 18, -4*x = 5*c - 25. Put x, n, w in descending order.\nAnswer: x, w, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/q**0*q\/(q*q**6))**0*(q*q**(-3)*q\/(q*q*q\/(((q\/((q*q**6)\/q))\/q)\/q)))\/(((q\/q**6)\/q)\/(q*q\/q**(-2\/15))) assuming q is positive.\nAnswer: q**(-43\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*k = 417 - 25. Let g be (11\/(-3))\/(2\/12). Let p = g - k. Solve i + p = -i for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -15 in 1.2, -43, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -1 + 50\/(-30) - (-2)\/(-6). Which is the nearest to -3\/4? (a) 2 (b) -0.01 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -6\/5 in -25\/853, -0.4, 0.1, 1\/4, -0.1?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 11 + -8. Let u be 7\/(-21) - (-16)\/j. Suppose -x + u*v - 10 = 0, 0 = -4*x - 4*v + 8 - 0. Solve -1 + x = -r for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.28 - 1.42. Let v = 1.7000225 + c. Round v to six dps.\nAnswer: 0.000023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 130554 + -130568. Let y be 1\/6 + (-2)\/(-6). What is the nearest to -2\/5 in y, c, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/37441948 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mw when two letters picked without replacement from wziimwzwzza?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 48957287.\nAnswer: 1721, 28447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -11 (base 3) to base 6\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -2*c**2 + 16*c + 1. Calculate t(7).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -h**3 + 6*h + 3. Let n be p(-2). Let d = 78 + n. What is the tens digit of d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 49825\/100 + 15\/(-12). Calculate the highest common divisor of a and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 617391186?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out 28 * 3.\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 1122001022102 (base 3) to base 2\nAnswer: 11010011101011000000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that 4*y**2 - 47099728*y + 138649023604624 = 0.\nAnswer: 5887466","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2.14 - -0.14. Let u = -2 - -3. What is the closest to a in -1, 4, u?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 187183389?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 11861 + -11866. Which is the closest to 17\/23? (a) w (b) -0.5 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.3 times 18?\nAnswer: -59.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -2*z**2 + 2369*z + 85621. Determine f(-35).\nAnswer: 256","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = 4*y + 5*d, y + 4 = -3*d - 9. Let o = -51 - 93. Let x = 149 + o. Sort -4, 4, y, x in decreasing order.\nAnswer: x, 4, y, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.131 - -0.073. Let s = q + -0.442. Let o = s + 0.7. What is the smallest value in o, -8, -3\/7?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.9 and 34.\nAnswer: 30.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 71553743?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 9*m**2*z**5 + 2796792*m**2*z**3 + 109395*m**2*z + 57*m*z**2 wrt z?\nAnswer: 540*m**2*z**2 + 16780752*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 31487 + 18314?\nAnswer: 49801","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 12 = 3*w + 2*q, 4*w = 2*q + 30. Calculate the greatest common factor of w and 9.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -3905*l. Let p(z) = 10*z - 1437. Calculate p(a(o)).\nAnswer: -39050*o - 1437","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + (-3 + -2 + sqrt(76) - sqrt(76)) + 2 + -5*(sqrt(76) + -4))**2.\nAnswer: -320*sqrt(19) + 2156","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4.924 - 0.076. Let u = 11\/2 - 5. Which is the closest to u? (a) 0.4 (b) 1 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -4*v - 31. Give j(-10).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1273 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - 320 = 5*h - 8*w, 67 = -h + 4*w. Let x = h + 1. Find the common denominator of 7\/4 and x\/(-12)*(-18)\/24.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -c**3 + c**2 - c + 18. Let l be p(0). Suppose 5*u - l - 7 = 0. Let m be (-2 + (-12)\/(-5))*10\/2. Solve -m*z - 3*z - u = 0 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 24564 and 16026492.\nAnswer: 276","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 3.3763, -71, 4 in ascending order.\nAnswer: -71, 3.3763, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 153920531?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3232722?\nAnswer: 2, 3, 109, 4943","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0\/((391\/(-1173))\/(1\/18))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 0*t**3 - 2 + 4*t**3 - 15*t**3 - 1 wrt t?\nAnswer: -33*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6511 (base 13) to base 6.\nAnswer: -145001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1 + 6. List the prime factors of (-8 + g)*(-16 - -1).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000754988 to six decimal places.\nAnswer: 0.000755","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -4*m - m. Let z = m - -4. Suppose -z*r + 3*r = -132. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(((sqrt(136) - (sqrt(136)*-1 - sqrt(136)))*2 - sqrt(136))\/(-5*(sqrt(32) + sqrt(8))) + 1))**2.\nAnswer: -24*sqrt(17) + 104","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j and 2 u when four letters picked without replacement from {o: 7, j: 3, u: 3}.\nAnswer: 9\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (-5)\/(-4)*(8\/7)\/((-2980)\/(-3129))\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 301971 divided by 5921.\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7139?\nAnswer: 11, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = k + 1. Let p(v) = 4*v**3 - v**2 + 8*v + 8. Suppose 3*f = -12, -5*f - 11 = 2*l + 3. Let w(a) = l*p(a) - 24*u(a). Suppose w(n) = 0. What is n?\nAnswer: 0, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20643204?\nAnswer: 2, 3, 167, 10301","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10 + 20210210?\nAnswer: 20210220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-340 + 5)*(10 - (-153)\/(-15)).\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3327, 3309, 3289, 3267?\nAnswer: 3243","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 66463 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4\/3? (a) 11\/3 (b) -2\/15 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -l**2 - 343*l + 92341. Calculate n(180).\nAnswer: -1799","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 980050543 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -362*g + 4023. What is the remainder when 1885 is divided by h(11)?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*j - 322 = 8*j + 172*j. Put -5, j, -988 in ascending order.\nAnswer: -988, -5, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 54*x - 51*x - 3*b = 3, 6 = 5*x - 4*b for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2592724?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 194 minutes before 5:20 AM?\nAnswer: 2:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence llll when four letters picked without replacement from {o: 1, l: 12}.\nAnswer: 9\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -312, -333, -366, -411, -468?\n\"Answer: -6*w**2 - 3*w - 303","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 365531 to the nearest integer?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 26.45811 - 1.46331. Let r = v + -25. Round r to 3 decimal places.\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -38*q**3 + 4*q**2 + 4*q - 42. Let v(t) = -115*t**3 + 11*t**2 + 11*t - 125. Let s(g) = 11*k(g) - 4*v(g). Differentiate s(z) wrt z.\nAnswer: 126*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -6740 - -6739.7. Which is the fourth smallest value? (a) 7 (b) p (c) -2\/7 (d) 10\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 12\/100*-5 - 993\/(-5). Let l = a - 82. Does 29 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 111\/56 and -89\/1324456?\nAnswer: 1324456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g = -u - 8, -21742817*g - 36 = -7*u - 21742815*g for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t - h + 31 = 0, 0*t + t - 3*h = -2. Let k = 8 - t. Let s(l) = 5500001*l**2 - l. Let u be s(k). Round u to the nearest 1000000.\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) be the second derivative of -11*r**3\/6 + 6*r. Let u be d(4). Does 4 divide (13\/(-4))\/(11\/u)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15684 is divided by 7831?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -701, -728, -755, -782, -809, -836?\n\"Answer: -27*v - 674","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 41 - 22. Let f = 206 - 132. Calculate the remainder when f is divided by k.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -3*w**3 - 111*w**2 + 126*w - 24. Let b(y) = 11*y**3 + 447*y**2 - 504*y + 92. Let t(n) = 6*b(n) + 23*q(n). Let t(r) = 0. Calculate r.\nAnswer: 0, 1, 42","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 20555.56 * -0.274.\nAnswer: -5632.22344","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(((sqrt(60) - ((sqrt(540) - sqrt(540)*1)\/sqrt(9) + sqrt(60) - sqrt(60)))*4)\/(-2*sqrt(1728) - (sqrt(12) + sqrt(84)\/(sqrt(28) - sqrt(7)))))**2.\nAnswer: -60\/169","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -11 - -10.85. Let i = -1.55 - s. Let h = 1.504 + i. Round h to two dps.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -161 - -165. Suppose 0 = -s*i + 19*i - 120. What is the lowest common multiple of i and (-3)\/6 + (-58)\/(-4)?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -2200*b - 379. Is d(-23) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 82669, 82364, 82059, 81754, 81449?\n\"Answer: -305*k + 82974","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hhhc when four letters picked without replacement from {i: 8, x: 2, c: 4, m: 2, h: 4}?\nAnswer: 4\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t + 7 = 4*z + 4, -z - 6 = -3*t for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o\/(o*o\/(o*o**0)))**37*o\/(o*o\/o**(-1\/4))*o\/(o\/(o**(2\/7)\/o)) assuming o is positive.\nAnswer: o**(981\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 48*h - 6896 = -178*h - 1698 for h.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-34)\/(-51) - (-140)\/6. Suppose 7*d - g = 18. Let s(l) = 12*l**2. Let h be s(-2). What is the greatest common factor of h and d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3652 a factor of 210697284?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 u when four letters picked without replacement from ukuuukkuuukuouko?\nAnswer: 9\/130","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1172963507 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7266 is divided by 158?\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -2*m. Let h(r) = 21719431*r. Determine j(h(y)).\nAnswer: -43438862*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-1953*(-16)\/360)\/(2\/5) is divided by 28?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7 - (-8 + (16 - 8) - (-3 - 2))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -35 (base 15) to base 7.\nAnswer: -101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 55 times -0.6254\nAnswer: -34.397","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-39 + 155\/4)*40?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -5 and 2.191?\nAnswer: -10.955","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000000214753 rounded to 7 dps?\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.05, -1\/8, 238789, 0.1 in decreasing order.\nAnswer: 238789, 0.1, -0.05, -1\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -92*q + 308 = -224*q + 110*q for q.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1215401 is divided by 43401?\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 10}. What is prob of sequence pppp?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 265507792.\nAnswer: 2, 11, 139, 10853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -z**3 - 286*z**2 + 589*z + 168457. Determine x(-286).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 101*v**3 + v - 1. Let j be r(1). Let w = 66 - j. Let m = w - -53. Is 18 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -6725 - -6729. Let u = -9 + 9. Solve -3*c - 1 = -z - u*c, -j*c - 10 = 3*z for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -3\/11, -417, -4.4?\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 3*i - 45. What is the remainder when 61 is divided by g(23)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y\/((y*y**(-2\/9))\/y)*y*y)\/y**(2\/15)*(y**(3\/4)*y)\/y**1)\/(y**(-3\/4)*y\/(y*y**(-2\/5))*y\/y**(1\/5)*y\/((y\/((y\/y**3*y)\/y))\/y)) assuming y is positive.\nAnswer: y**(97\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(3) - (0 + (sqrt(9)\/sqrt(3))**2)) + sqrt(3) + (sqrt(75))**2 + -1)*4.\nAnswer: 8*sqrt(3) + 284","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = v**3 - 5*v**2 + 3*v - 1. Let z be l(4). Let d(y) be the third derivative of -y**4\/8 - 3*y**2 - 6*y. Let n(s) = s. Give z*n(i) - d(i).\nAnswer: -2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*q = -36*q + 4212. Let r be (12\/9 + 0)*3. Suppose v - r*v = -q. What is the units digit of v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 31 - 4*n - 105 + 43 + 45 as w + o*n and give w.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i**(1\/5))\/i)\/(i**5\/i)*i**7\/(i**1*i) assuming i is positive.\nAnswer: i**(6\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (36\/9)\/((-14)\/(-2)).\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 1584?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 694 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 123649 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -184*i + 276*i - 14580 = 295*i + 202*i for i.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + -1 + sqrt(99))*2)**2*-6.\nAnswer: -2376","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -1225, -2538, -3851, -5164, -6477, -7790?\n\"Answer: -1313*x + 88","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -103 = -77*i - 26 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -37 - -38. Let w = 1051\/12 + -1\/12. Let h = 86 - w. What is the nearest to d in h, -4, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*k - 5*a - 0 + 25, -5*k = -2*a + 13. Suppose -q - 4 = 5. What is the common denominator of 46\/31 and k\/8*(22 - q)?\nAnswer: 248","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.01099 to 3 decimal places.\nAnswer: -0.011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 365 (base 15) in base 8?\nAnswer: 1402","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 6*n + 1. Let o(x) = -1. Calculate -6*o(c) - 2*q(c).\nAnswer: -12*c + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 634 + -371. Suppose -c + f = 2*a, 3*c + 685 = -0*a + 5*a. Is 25 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-8 - (-99)\/12)*16\/(-7). What is the nearest to -0.1 in 3, j, 75?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -f + 1. Let l be p(-2). Suppose 4*k - 2*v = l*v + 50, -2*k + 3*v + 26 = 0. List the prime factors of k.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1.1 - -1. Suppose 4*f - 10 - 6 = 0, -2 = 3*s + f. Let k be -3 + 6 + s + 10\/(-14). Which is the biggest value? (a) k (b) z (c) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*p**3 - 17*p + 15*p + 4 - 4*p**2 - p**2 in the form x*p**2 + c*p + d + a*p**3 and give a.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n + 2*y - 12 = 0, 5*n + 343 = -y + 334 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or 8023\/5617?\nAnswer: 8023\/5617","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -741 - -6599\/9. Does 0.05 = l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:41 AM and 1:44 PM?\nAnswer: 663","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 9*w + 4. Give a(-5).\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 20 and 1374?\nAnswer: 13740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -4*l**3 - 519*l**2 + 2*l + 12349 wrt l?\nAnswer: -12*l**2 - 1038*l + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 - 4 = -2*t - o, 0 = 2*t + 2*o - 6. Factor t*v**4 + 0*v**3 + 3*v**3 + 2*v**4 + v**4.\nAnswer: 3*v**3*(v + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-950*c - 62*c**2 + 950*c)*(3*c - 3*c - 2*c) + 6*c**3 - 4*c**3 + 5*c**3 + (-3 - 2*c + 3)*(-c**2 + 0*c**2 - 2*c**2) + c**3 - 6*c**3 + 3*c**3.\nAnswer: 135*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = -6*y + y + 12, -5*d - 5*y + 20 = 0. Solve -3*p + 0 - 2 = 2*s, 5*p = -3*s - d for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9988, -1\/2, 27\/4, 0.4 in ascending order.\nAnswer: -1\/2, 0.4, 27\/4, 9988","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*q**3 - 22*q**2 - q**3 + 12*q**2.\nAnswer: -4*q**3 - 10*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -976 (b) -5\/4 (c) -10 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -93386 - -9805423\/105. What is the common denominator of -49\/39 and v?\nAnswer: 1365","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 98816097?\nAnswer: 3, 547, 60217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 924391 is divided by 21497.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-five halves of a litre?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -7 + 12. Suppose 1 = -k + 3. Sort 4, u, k in increasing order.\nAnswer: k, 4, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*q**4 + 234*q**3 + 240*q**2 - 472*q.\nAnswer: -2*q*(q - 118)*(q - 1)*(q + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -2*r - 0. Suppose r*n + 3 = -7, -81 = -4*k - 3*n. Let m be 16\/k*(-42)\/(-4). What is the greatest common factor of m and 49?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 98880.62ug to kilograms.\nAnswer: 0.00009888062","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -7377623 (base 8) in base 3?\nAnswer: -10200212210202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(12\/11)\/s**(-3\/4))\/(s**(-4)*s)**(1\/10) assuming s is positive.\nAnswer: s**(471\/220)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2\/1091 - -2208\/14183. What is the closest to i in 0.2, -2, 1\/2, -0.4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1770335608?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t = -2*l - 2*t - 80, 3*t - 76 = 77*l - 75*l + 8 for l.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -304 + 153. Let z = a - -157. What is the greatest common divisor of 12 and z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) be the first derivative of f**7\/40 - 3*f**6\/20 + 11*f**3 + 73. Let d(o) be the third derivative of b(o). Find the third derivative of d(y) wrt y.\nAnswer: 126","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.4 * 1276.\nAnswer: 510.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6\/4 + 55\/(-22) - -38?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-2)\/(-5))\/((-3)\/(-45)). Let a(b) = b**3 - 7*b**2 + 6*b + 1. Let s be a(q). Is 4\/5 smaller than s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 1183*n - 2. Let j(m) = 4*m. What is o(j(q))?\nAnswer: 4732*q - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -5, -2, 145, 31, -10\/3?\nAnswer: 145","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*f + 346 = 156 for f.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -9 + 11. Suppose h - 3*y = -h + 943, k*h = -4*y + 978. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -6*k**3 + 3333*k**2 + 1668*k.\nAnswer: -3*k*(k - 556)*(2*k + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 66132718+0.116\nAnswer: 66132718.116","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence llll when four letters picked without replacement from lllslllllslll?\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (sqrt(1815)*-3)\/sqrt(3) + 5.\nAnswer: -33*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -2*26\/(-91)*6*(-98)\/84\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 minutes before 10:09 PM?\nAnswer: 9:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -11*o + 21*o - 30. Suppose o*n - 584 = -5*n. Is n a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 - 1 - (0 + -6)) + -3.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1358, -200, 958, 2116?\nAnswer: 3274","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) be the second derivative of q**6\/5 - 9*q**5\/4 + 36*q**4 + 401*q. Find the third derivative of c(f) wrt f.\nAnswer: 144*f - 270","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 183052138?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 1 r when two letters picked without replacement from sssssrslssssss?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -51168 divided by -533\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 0 - 101?\nAnswer: -101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 58 divide 589965?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xcx when three letters picked without replacement from xcxxxxcxxxx.\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9*l - 2 + 2 + 8*l + l + l + (-2 + 2 - l)*(-2 - 2 + 2) to z + f*l and give f.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50 = 9*j - 4*j. Let r(h) = -j + 10*h - 3 - 6*h. Does 11 divide r(6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -3 - ((-65)\/(-4))\/(17424\/(-3234)) and -41\/120?\nAnswer: 5280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 3, k: 2, w: 10, i: 1, x: 1, g: 1}. What is prob of picking 1 g and 1 k?\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -238*u**2 - 7*u**3 - 11*u**3 + 238*u**2 + 9*u**3.\nAnswer: -9*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((77\/14)\/(-11)*0)\/1?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5048 - -7489. List the prime factors of s.\nAnswer: 2441","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -2*m**2 + 755*m - 29352. Calculate c(44).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5.62 + -0.62. Put t, 0.2, -4 in descending order.\nAnswer: t, 0.2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 9*u**2 - 7914*u + 63106. What is c(8)?\nAnswer: 370","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z - 8*g + 104 = -4*z, -13*z - 14*z + 128*g = 133*g - 65 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/2 < -17005?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3114.92968 - -0.07032. Let f = a + -3115.3317. Round f to 2 dps.\nAnswer: -0.33","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 294\/42*1*(-55)\/(-35).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let -c**2 + 5887*c - 251292 = 0. What is c?\nAnswer: 43, 5844","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -13 + 11. Let s be (1 - (1 - 4)) + u. Solve -5*j - 16 = -3*p, 0 = 5*j - 0*j - s*p + 14 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33 a factor of 37521?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 232948432*y = 232948373*y - 6549 for y.\nAnswer: -111","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*k**2 - 24*k**2 - 66*k**2 + 24*k**2 to j*k**2 + t + x*k and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.3 or -14.99?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-45 - 1) + (-64 - -28 - -20 - (-15 - 3))?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 236513618 by -320914.\nAnswer: -737","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -194*w = 16*p - 102*w - 102*w - 144, -5*w - 18 = -2*p - 0 for p.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -20179 in 8.73, -2\/3, -3, 0.5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 73, 10, 43541 in ascending order.\nAnswer: 10, 73, 43541","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 23028 is divided by 452?\nAnswer: 428","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -677304 or -677302?\nAnswer: -677304","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -c04 (base 13) to base 7.\nAnswer: -5632","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2 and 1138.\nAnswer: 1138","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w - 4*b + 0 + 16 = 0, 0 = -5*w - 2*b + 23. Suppose -w*v - 23 - 17 = 0. Suppose 7*i - 3*i - 3*o + 29 = 0, 0 = 2*i + o + 17. Is i < v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1636226\/3 - -18157918\/33. Let j(v) = v**3 - v**2 + 2*v - 4835. Let d be j(0). Let m = d + i. What is the common denominator of m and -131\/6?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 3, y: 15}. Give prob of picking 1 d and 3 y.\nAnswer: 91\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) be the third derivative of 0*n**5 + 0 - 1\/15*n**6 - 3\/8*n**4 + 0*n**3 + 0*n - 17*n**2. What is the second derivative of m(h) wrt h?\nAnswer: -48*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 65067 and 1810929?\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*s + 2 = 72 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -542848000 to the nearest 1000000.\nAnswer: -543000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 58.803 + -59.3. Let i = -0.797 - m. What is the third smallest value in -3, -0.1, i, 6?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from robdqqbqdd. What is prob of sequence qord?\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 76.061 - 76. Let o = 0.139 + d. Suppose -3*s + 42 = -6*s. Is s > o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -176 divided by -8?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*k - 5*w = 3*k, 2*w = 3*k. Suppose 6*b - 5*b - 3*a - 12 = k, 0 = -4*b + 3*a + 12. Suppose -11*c + 7*c + 248 = b. What are the prime factors of c?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 33 - 8 - ((-33)\/3 - 2)?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -43*c + 45*c. Suppose -12*a = -c*a - 330. Calculate the remainder when 109 is divided by a.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 4*n**2 + 4*n + 13. Let l(g) = -g**2 + g - 1. Let p(m) = -k(m) - 3*l(m). Let i(s) = 10*s + 73. Let u = -397 + 389. Let t be i(u). Determine p(t).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 542893*z - 5834*z + 275604*z - 114392*z.\nAnswer: 698271*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 272*y + 88. Is x(4) a multiple of 49?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 4 - 26e0?\nAnswer: -26db","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) be the second derivative of d**4\/12 - d**3\/6 + d**2 - 2*d. Suppose 0 = -19*j + 3*j + 320. Suppose 12*c = j*c. Give s(c).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15569.\nAnswer: 15569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -y + 15. Let g be z(12). Let f = -2 - -12\/5. Sort f, g, 0.2 in ascending order.\nAnswer: 0.2, f, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11445 is divided by 293?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(45))**2 + -3.\nAnswer: 12*sqrt(5) + 46","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 31 + (22 + -79 - 13).\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 2 - 1 - 19*h + 4*h.\nAnswer: -15*h + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -304 divided by 38.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 534473 is divided by 531607.\nAnswer: 2866","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) be the second derivative of 5*t**3 + 9*t**2 - 123*t. Does 12 divide y(9)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -547 (b) 8\/3 (c) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4 - -6. Suppose -3*l = s*l - 4*f - 41, 5*f + 25 = l. Is 6\/(-15) + 417\/l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-16594*i + 7939*i + 8173*i)*(3*i**2 - i**2 + 2*i**2) as j*i**3 + g + l*i**2 + x*i and give j.\nAnswer: -1928","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 2, q: 4, p: 1, o: 3, h: 1}. Give prob of picking 1 u, 2 q, and 1 h.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2615*d - 5*d**4 + 2616*d + 6*d**4 - 11*d**2)*(4*d + d + d).\nAnswer: 6*d**5 - 66*d**3 + 6*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 1 a when two letters picked without replacement from zakzee?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0*-0.065851.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*i**3\/7 + 20*i**2\/7.\nAnswer: -2*i**2*(i - 10)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = t + t - 2. Let q(k) = 3*k**2 + 1. Let j be q(-2). Suppose -n = s - 11, -4*s - j = -5*n + 24. Solve p - c = -t, -3*p + 2*c + 2 - n = 0 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:14 AM and 8:04 AM?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2 - 2d9?\nAnswer: -2db","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (7 - (-15 - -8)) + -10?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 3 - (6\/(-15) + 16\/(-10)). Solve 2*y + 20 = j*l, 2*l - 4 = l - 3*y for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0, -1\/2, 4, 6?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 15) to base 9\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 221100 = 600*b - 550*b. Which is bigger: b or 4425?\nAnswer: 4425","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*z**3\/7 + 439702*z**2\/7 + 24167011248*z\/7 - 24167450952\/7.\nAnswer: 2*(z - 1)*(z + 109926)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -57 - 88 - 21 - 2*v.\nAnswer: -2*v - 166","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1091495739 divided by 363831913.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 13325, 12745, 12165, 11585, 11005?\nAnswer: 10425","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 111202778?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 19, -3, 2.\nAnswer: -3, 2, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 18343990 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 482*u - 5270. What is h(11)?\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -h**3 + 2*h**2 + 13*h - 5. Let i be v(4). Suppose 10*n - i - 155 = 0. What is the remainder when n is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = 2*f - 76. Calculate the highest common divisor of f and 171.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 193062?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2 - 1223?\nAnswer: -1231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.709255144 from -10202.\nAnswer: -10201.290744856","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) be the third derivative of -6*x**2 + 0*x + 7\/6*x**3 - 1\/24*x**4 + 0. Let q be -2 + (2 - 0 - -6). Calculate v(q).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 0 + -1454c5?\nAnswer: -1454c5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 x when three letters picked without replacement from xxxzxxazz?\nAnswer: 5\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -104 + 108. Suppose -w = -u - 3*w + l, -u - 3 = -5*w. Sort -2, u, -3.\nAnswer: -3, -2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) be the first derivative of 9*p - 67 - 1\/2*p**2. Determine u(6).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10582 rounded to the nearest one thousand?\nAnswer: 11000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -1503*h + 639. What are the prime factors of n(-16)?\nAnswer: 3, 13, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -349 divided by 48029?\nAnswer: -349\/48029","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o\/(o*o**(-6)))\/o)**(-1\/17))**11 assuming o is positive.\nAnswer: o**(-55\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1551377086.\nAnswer: 2, 7, 5039, 21991","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -288 + 8*q + 288 + 14*q**2. Let i(c) = -9*c**2 - 5*c. Determine -5*g(p) - 8*i(p).\nAnswer: 2*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 70*c**3 - 42*c**3 - 29*c**3.\nAnswer: -c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) be the second derivative of z**5\/5 + 10*z**4\/3 + 14*z**3\/3 - 36*z**2 - 194*z. Solve t(g) = 0.\nAnswer: -9, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 970713.2ms in microseconds?\nAnswer: 970713200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 150, 148, 146?\nAnswer: 144","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 355713 to the nearest integer?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 - ((-1 - 0 - 1) + 6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 6382876271 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 68549.906702 - 38?\nAnswer: 68511.906702","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(-3\/2))**(-36))**(3\/37)\/((c**(2\/7)\/c)\/(c\/(c\/c**(2\/21)))*(c\/(c*c*(c*c**(-2))\/c))**(-28)) assuming c is positive.\nAnswer: c**(25787\/777)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -3*k. Let j be (-100)\/(-16) - 9\/(-12). Let h = j + -4. Let r(n) = -2*n - n + h*n - n. Determine r(u(b)).\nAnswer: 3*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.4? (a) 1 (b) -5 (c) -69 (d) 3\/10\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 4\/(108\/(-21)) + 1. Let b be 1 - 0 - (-3 - 2). Suppose 4*j = g - 22, 0 = -3*j + g - b - 11. What is the closest to 1 in -4\/5, j, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:30 PM and 9:24 PM?\nAnswer: 54","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -6*c**3 - 33*c**2 + 3164*c + 18880. Give q(-6).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 89 + 34*d - 27*d - 26*d. Suppose -o - 3*b = -65, 0*b = 3*o - 5*b - 237. What is the remainder when o is divided by m(4)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 6, w: 3, v: 2, c: 3, j: 4}. What is prob of picking 2 v and 2 u?\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -3, -0.4, 0.1, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 163454183.\nAnswer: 163454183","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 720100 (base 9) to base 3\nAnswer: 210200010000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-120)\/(-60)*10\/4\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1475508179 plus -0.3?\nAnswer: -1475508179.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/6*(-4)\/140*-15.\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -6, -0.083, 763, -0.2?\nAnswer: 763","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 306 is divided by 39?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from poppopfzpppzzq. Give prob of picking 1 f, 1 q, and 1 o.\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -5\/28 and (267\/(-4))\/(-6 - 60\/(-8))?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((((-315)\/10)\/(-7))\/(-3))\/((-813)\/(-16802))?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.348 rounded to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 543 (base 14) to base 16.\nAnswer: 40f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 3*w - 66. Calculate the remainder when (-2)\/5 + (-277)\/(-5) is divided by a(27).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 24 - -23?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:37 PM and 6:46 PM?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-48)\/9 - (-2)\/6. Let y = 2 + g. Calculate the least common multiple of (y + 6)*10\/3 and 4.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -q - 6. Let p be v(-5). Let m(k) = 3*k**2 - 1. Calculate m(p).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 3280626495 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 11*r + 930 - 919. Which is the nearest to -8? (a) r (b) 2 (c) 5 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2969395?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -764*g = -771*g - 7 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = f**2 - 7*f + 2. Let o(b) be the first derivative of 7*b**2\/2 - 6*b + 3. Let l be o(2). Is d(l) even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2a (base 14) to base 8.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 19 + -17. What is the smallest common multiple of p and (12\/18)\/((-2)\/(-33))?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1960 + -3031. Sort -5, 1\/6, r in increasing order.\nAnswer: r, -5, 1\/6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -f**3 + 126*f**2 + 1234*f - 2563. Give w(135).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*j**3\/5 + 3424*j**2\/5 + 684*j.\nAnswer: 4*j*(j + 1)*(j + 855)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = j**3 + 37*j**2 + 33*j - 108. Let n be b(-36). Solve -a + 10*a - 36 = n for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 358527500 + -0.6.\nAnswer: 358527499.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (sqrt(11) - (4 + sqrt(99))).\nAnswer: -9 - 2*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1712034 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2548944?\nAnswer: 2, 3, 31, 571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 112 in 2, 19, -0.3, 0?\nAnswer: 19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-5\/3)\/(d**2*d))**(-19) assuming d is positive.\nAnswer: d**(266\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 52802*m - 52874*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that -2*w**4 + 75580*w**3\/3 - 41984*w**2 + 8396*w + 25190\/3 = 0.\nAnswer: -1\/3, 1, 12595","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) be the third derivative of f**4\/24 + 2*f**2. Let k(x) = x**2 - 6*x - 6. Let o(d) = -d**2 + 5*d + 5. Let a(s) = -5*k(s) - 6*o(s). Determine j(a(c)).\nAnswer: c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 103880.\nAnswer: 2, 5, 7, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*o + 4*h - 3092, 4*o - 3*h - 3068 = h. Let f = 1316 - o. What are the prime factors of f?\nAnswer: 2, 3, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -23 - -250400?\nAnswer: 250355","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*sqrt(1053))**2 + 1 - (5*(-5*sqrt(1053) + sqrt(1053) - sqrt(1053)))**2) + 5*(((4 + sqrt(1053))*5)**2 + -3).\nAnswer: -507666 + 9000*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1504 + 10526\/7. Which is the nearest to 0.075? (a) 2 (b) m (c) 3 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-18)\/69)\/((-189)\/378). Factor -6\/23*q**2 - v - 22\/23*q.\nAnswer: -2*(q + 3)*(3*q + 2)\/23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/169? (a) 4 (b) 2\/9 (c) 5 (d) 6\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 5 - (-2 + (-125)\/(-20))\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 16 = -4. Suppose -116 = -20*n + 124. Suppose -4*o = -l*k - n, o + 4*k + 3 = -4*o. What is the units digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -156 + 150. Let z(l) = -l**3 + l**2 - 6*l + 7. Let p(t) = -t**3 + t**2 - 5*t + 6. What is k*p(n) + 5*z(n)?\nAnswer: n**3 - n**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*z**2\/7 + 26*z\/7 + 12\/7 = 0. Calculate z.\nAnswer: -2, -3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-21)\/826*-177*3*-6?\nAnswer: -81","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 2*i - 4*i + 3*i - 2. Let u be r(6). Solve -4*t + 7 = -j - 5, -u*t = -4*j for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 81 + -82. Let z = 7 - 14. Which is the biggest value? (a) 1\/3 (b) z (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine g, given that -89225*g**3 + 2141395*g**2 - 12848280*g - 720 = 0.\nAnswer: -1\/17845, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v = -9 + 25, 2*d + 5*v = -22 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.37 less than 258587?\nAnswer: 258578.63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.6, -0.1, 20\/9, -1\/2, -2\/17, -1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -31, 25, 1, -1, 4, 6.\nAnswer: -31, -1, 1, 4, 6, 25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 16 = -2*h. Solve -4*l + 5*l + 5 = -5*o, -2*l = -h*o - 4 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 136 a factor of 1527552?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 32573?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Are -4221182 and -4221180 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j - x + 74 = 0, 2 = x + 4. Let n = j + 1. What is the tens digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 35489567 and 633?\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) be the third derivative of 0*r + 1\/120*r**6 + 0*r**3 - 15*r**2 + 1\/12*r**4 + 0 - 1\/20*r**5. Factor n(x).\nAnswer: x*(x - 2)*(x - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.05 in -2, -5, -0.4, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 8166*k - 2107. Let w(r) = -8166*r + 2113. Let g(n) = 3*w(n) + 4*x(n). Differentiate g(u) with respect to u.\nAnswer: 8166","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) be the first derivative of -w**4\/4 + 4*w**3 - 3*w**2\/2 + 38*w + 982. Determine m(12).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -25 + 13. Let m(b) = b**3 - 17*b**2 + 15*b + 5. Let t be m(16). Let k = t - i. Solve 2*x = 5*d + 8, 5*d - x + k = -8 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3799 - 3787. Calculate the least common multiple of 9776 and i.\nAnswer: 29328","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8561 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 h = 28 + -26. Suppose i - l - 35 = 0, h*l = 2 + 6. List the prime factors of i.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v - 26 = -38 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3.23 - -95.23. Sort j, 0.5, -3.\nAnswer: -3, 0.5, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 - (80 - (202 + -86)).\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-407)\/37*(-8)\/(-16)*2\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 4*h**2 + 2*h - 2*h. Suppose 2*i = -4*y + 46, -2*i = 4*y - 7*i - 11. Let f(g) = 13*g**2 - 34*g**2 + y*g**2 + 13*g**2. Calculate f(r(m)).\nAnswer: 16*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 7 + 10492?\nAnswer: 10499","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express -25*v - 126*v**2 + 242*v**2 - v**3 + 24*v - 121*v**2 - 4 in the form z*v**2 + l + q*v + i*v**3 and give z.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 793274 smaller than 793273?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (41 + -1 - (-377 + 377)) + 15?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -6059*h*i**2 + 2636*h*l**3 + 2*i**3 + 31*i*l**3 + 1944*l**3 - l**2 wrt i?\nAnswer: -12118*h*i + 6*i**2 + 31*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 336 and 11512?\nAnswer: 483504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.003206803074 rounded to six decimal places?\nAnswer: -0.003207","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5324927?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -27\/100 - -1\/50. Let q = 5.7 - 10.7. Which is the second biggest value? (a) 2\/13 (b) q (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6063 = -56*s + 99*s. Suppose 2*x + 0*x = 202. Suppose 2*n - x = s. What is the units digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -43\/270 and 71\/6062580.\nAnswer: 6062580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2046 is divided by 9198\/168 - (-2)\/8 - 5.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (29 - 29 + 10*b)*(-6 - 4 + 17) to o + x*b and give x.\nAnswer: 70","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1679714.\nAnswer: 2, 19, 44203","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-w**3 - 2*w**3 + 4*w**3)*(4 + 5 - 4)*(-w + 7*w + w).\nAnswer: 35*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -l**3 - l**2 + 3*l + 4. Let x = 1106 - 1102. What is r(x)?\nAnswer: -64","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-4 - (8 - 4)) + 3\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.05, 2.4, 1\/5.\nAnswer: 0.05, 1\/5, 2.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 876760451?\nAnswer: 7, 29, 4319017","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 + 4 + (5 + 9 - 9)?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(1 + sqrt(5)*-2 + sqrt(5)))**2*-3.\nAnswer: -648 + 216*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0, 296, 0.145?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 4 = -8. Let i be (-2 - m\/7)*-7. Let q = 52 - i. What is the remainder when q is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (9 - 3 - 1)*(-y + 2*y + 2*y + (-6 + 2 + 2)*(-2*y + 1 - 1)) to a + x*y and give x.\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 1. Let z(c) be the third derivative of c**5\/15 - c**4\/24 + c**3\/6 - 3*c**2. Let g be z(1). Let x(j) = j + 5. Give g*u(y) - x(y).\nAnswer: -y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 146 divide 9673230?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 34452 - 27857. Is c greater than or equal to 6594?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60*b + 197814 = -32886. What is the tens digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/z**(-32))**(-7\/2)*(z**(-1\/16)*z)\/(z*(z\/z**(-2))\/z*z) assuming z is positive.\nAnswer: z**(-1897\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -83102, -83170, -83238, -83306, -83374?\n\"Answer: -68*x - 83034","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 8 = 0, 13 = u + 4*s - 6. Suppose u*g - 10 = 3*c + 17, 0 = 2*g - 6. Let j(x) = 4*x**2 - 12*x + 5. What is the units digit of j(c)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 27268 (base 9) to base 11.\nAnswer: 12952","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1.02 and 0.2357.\nAnswer: 0.240414","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-30)\/(-20)*16\/3. Let n(k) = k**2 + 5*k + 4. Let w be n(-4). Suppose -z = 3*u - p, 3*u - z - 10 = -w*z. Solve -6 = -3*r + u for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 5780*d**2 - 27*d - 4. Let q be a(8). What is q rounded to the nearest 1000?\nAnswer: 370000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21 - 2*w + 3*w - 10 + 7*w.\nAnswer: 8*w - 31","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 68444, 5, 1 in decreasing order.\nAnswer: 68444, 5, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 2*z**2 - 7*z + 2. Let n be c(6). Let f = n + -10. Calculate the least common multiple of (-3)\/(((-30)\/(-28))\/(-5)) and f.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a**4\/9 - 10*a**3\/9 + 20*a**2\/9 + 40*a\/9 - 16\/3 = 0.\nAnswer: -6, -2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 2*c**3 - 149*c + 2. What is the thousands digit of m(11)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -30652832.2 to the nearest 100000.\nAnswer: -30700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -9873 at least as big as 0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zal when three letters picked without replacement from {u: 4, g: 1, l: 2, a: 5, z: 1, k: 2}.\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 3\/5, 0.3, 4, 5?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4 and 94.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 23 + -11. Let m = 126 - b. Let j = -14 + m. Is 20 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -3*d**2 + 11*d - 1. Let r be j(5). What are the prime factors of (246\/8 + 0)*(-140)\/r?\nAnswer: 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.25 - 1.75. Which is the biggest value? (a) z (b) -3 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k**3\/2 - 199623*k**2\/2 - 1666609896*k - 206769612000 = 0. What is k?\nAnswer: -33208, -125","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 185014.68 to the nearest one hundred.\nAnswer: 185000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a year in months?\nAnswer: 15","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -237628*d - 8792229. What is x(-37)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*p + 5*p - 6. Let k(a) = 0*a**2 + 2 - p*a**2 + 5*a**3 + 0*a**2 + 3*a - 3*a**3. Let z(b) = -4*b**3 + 5*b**2 - 5*b - 4. Determine -5*k(m) - 3*z(m).\nAnswer: 2*m**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 53 - -44?\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = 3*o + 2850. Does 19 divide (2 + 24\/(-10))*o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*l - s - 9, 5*l - 3*s - 20 - 3 = 0. Suppose 0*n + l = 2*n. Suppose n*k = -5*g + 735, 4*g - 616 = 5*k - k. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*s + 201 = 579. Is 8\/s - (-153915)\/27 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -n**2 - 8*n - 7. Let v be m(-7). Find the second derivative of 0 + 3*x - 2*x**4 + v - 4*x wrt x.\nAnswer: -24*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -96*o - 12 - 200*o + 5. Let j(w) = 148*w + 4. Let s(p) = -3*h(p) - 5*j(p). Is s(3) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-276)\/(-115) + (-6)\/(-10). Let r be ((-9)\/6)\/(i\/(-24)). Let z be (r\/(-21))\/((-60)\/42). Which is the nearest to -0.1? (a) z (b) 0 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5977?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 133.0085 - 0.0085. Let w = -133.00000164 + i. What is w rounded to six dps?\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in 2, -4, 2\/77, 0.1?\nAnswer: 2\/77","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 9 = -2*k. What is the common denominator of -111\/40 and (3\/24)\/(6\/44) + k?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 5\/10 + (1 - (-5526)\/(-4)). Find the common denominator of (0 + -1)*(-1060)\/o and 101\/8.\nAnswer: 552","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 32 divide 3673?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 16.3+-0.023\nAnswer: 16.277","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -p**2 + 6*p - 1. Let x be l(5). Suppose n = -n + x. Suppose n*y = 7 + 5. What is the remainder when 11 is divided by y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -5*m**2 - 5*m**3 + 6 + 6*m**3 - 5. What is z(5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3240 is divided by 1064?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 1 u when two letters picked without replacement from {f: 7, c: 2, u: 1}?\nAnswer: 7\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 1 w when two letters picked without replacement from {b: 2, u: 1, y: 1, w: 4}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1088\/(-288) + (-2)\/9 - -4. Suppose i = 4*v + 27*v + 31. Is v bigger than 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -3*c**2 + 164*c + 62. Let h be g(55). Solve 5*a - 5*k = 0, -3*a + 4*k = 4 - h for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1167.46 + -7226?\nAnswer: -6058.54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5\/12 + 1\/4. Which is the nearest to 1\/3? (a) 2\/7 (b) r (c) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = l**3 + 16*l**2 + 10*l - 252. Determine r(-14).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -25*q - 14. Let d(z) = 2. What is -6*d(i) - y(i)?\nAnswer: 25*i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 20*k + 25. Let a be j(-26). List the prime factors of -50 - a - (-4)\/1.\nAnswer: 449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7 + -4 + -8 + 14\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*m + 2*m + m)*(1 - 1 - 3) + (-1 + 5 - 2)*(1 + 5*m - m - 3*m).\nAnswer: -7*m + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = q**2 + 2*q. Let a be r(-3). Suppose 121*l + 381 - 18 = 0. Suppose -5*g = 5*m - 41 + 1, -16 = -4*g. Sort a, m, l, 5.\nAnswer: l, a, m, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 5*j - 8. Suppose 20 = 3*z + j*z. Suppose -z*t = -38 - 10. Does 5 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-6)\/(-4)*(-6)\/(-9). Does 19 divide -57*-2*j\/6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-92)\/((-7)\/(7\/2)). Suppose 3*y + 4*j = u, -24 = -3*y + y - j. Let q = y - 3. What is the units digit of q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1321523?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 1 + 4)*(-38*c + 9*c + 0*c).\nAnswer: -203*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 14429 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.0627 - -5415.9373. Let k = -5415.997377 + o. What is k rounded to 4 dps?\nAnswer: 0.0026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -2375*p - 97377. Determine r(-41).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -152 (base 6) to base 5.\nAnswer: -233","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -31, -49, -45, -7, 77, 219, 431?\nAnswer: 725","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*z**3 - 4*z**3 - z**3 + (-2 - 1 + 5)*(-23 + 21 - 61)*(-1 + z**3 + 1) as q + k*z**3 + o*z + s*z**2 and give k.\nAnswer: -125","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -100 - (-267 - -163) - (-2 + 1 + 44).\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k + 5 = -5*m - 1, -2*m + 5*k = -24. Suppose 0*t = 3*t. Let x(g) = -g**3 - g**2 - g + 1. Let c be x(t). Sort m, c, -2 in increasing order.\nAnswer: -2, c, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = r**3 + 22*r**2 + 3*r + 11. Calculate x(-9).\nAnswer: 1037","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -1 - 62\/(-2)*398. Let j = -111175\/9 + p. Let z = 16 + j. Which is the third biggest value? (a) z (b) -2 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 56 divide 1344?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1336 is divided by 432?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 71 and 578366?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*m**4\/3 + 1038454*m**3 + 1246141*m**2\/3 - 623072*m = 0.\nAnswer: -623072, -1, 0, 3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*a = -13*a. Suppose 3*r - 2*s - 397 = a, 5*r - 120 - 537 = s. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in 0.3468, 1, -50?\nAnswer: 0.3468","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -131312200 + -220?\nAnswer: -131313020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -0.4, -3, 0, -45, -575?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -215*k + 5. Let l be s(-2). Let x = 8267\/19 - l. Which is the second smallest value? (a) 7 (b) x (c) 3 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 34\/6 - 1\/(-3). What is the remainder when (106\/w)\/((-5)\/(-15)) is divided by 18?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 2*v + 2. Let n be m(9). Suppose 6*c = 2*c - 5*u - n, 0 = c - 2*u - 8. Is c >= 2\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**3*h)**(-3\/44)\/(h**0)**(-21) assuming h is positive.\nAnswer: h**(-3\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/78*(18\/(-30))\/((-6)\/30).\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -k**2\/4 - 355371*k\/2 - 710741\/4.\nAnswer: -(k + 1)*(k + 710741)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3 - ((-20)\/(-4) - (-14)\/(-12)). Which is the third biggest value? (a) u (b) 2 (c) 0.11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1, -1\/35, 0.4, 1\/2, -0.3?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 27 + -57. Let t = -30 - k. Suppose h - 52 = -t*h. What is the tens digit of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 99*u - 30*u + 93*u = 0. Solve u = 14*y + 127 - 43 for y.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3988 a factor of 486906884?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l = -4*d - 108, -11950048*l + 11950049*l - 4*d - 123 = 0 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -4143*l - 32312. Give c(-8).\nAnswer: 832","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i + 171 - 1581 = -4*z, -8 = -4*i. Is 25 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -2, -33, -110, -257, -498, -857?\n\"Answer: -4*c**3 + c**2 - 6*c + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 (base 6) in base 5?\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3812017?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*v**3 + 88 - 88.\nAnswer: -10*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-141)\/(-1645)*7 - 24\/(-10).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-4)\/(-6)*(-3)\/(-6). Let m be 45 + 2 + -2 + 2. Let x = 140\/3 - m. Sort d, 5, x.\nAnswer: x, d, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -5550167, -11100338, -16650509, -22200680, -27750851?\n\"Answer: -5550171*h + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = a**3 - 3*a - 6. Let k be d(6). Is (1\/(-6)*-9)\/(2\/k) a multiple of 36?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3 - 3.1. Suppose 0 = -11*j + 13*j - 234. Suppose -10 = j*u - 112*u. Which is the third smallest value? (a) 4 (b) u (c) 5 (d) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -792*p - 7*p**2 + 4*p**2 + 4*p**2.\nAnswer: p**2 - 792*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 2307*m + 11540. Give o(-5).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 8244 divided by -36\nAnswer: -229","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Total of -15626.68 and 0.16181563.\nAnswer: -15626.51818437","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g*g\/g**(1\/3)*g)**(-26)*((g*g*g**(2\/5)*g)\/g)**(-36))\/((g**(4\/7)\/g*g*g**(-5))\/(g**(-2\/7))**(-34)) assuming g is positive.\nAnswer: g**(-17597\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 450, 443, 432, 417, 398, 375, 348?\nAnswer: 317","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 1.108, 2, -1\/77 in decreasing order.\nAnswer: 2, 1.108, -1\/77, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a**4\/4 + 1193*a**3\/2 - 82806*a**2 = 0. What is a?\nAnswer: 0, 148, 2238","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -33088, -41011, -48934, -56857, -64780, -72703?\nAnswer: -80626","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -38289, -76574, -114859, -153144, -191429?\nAnswer: -229714","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -22*n**2 + 95*n - 18. Let l be b(4). Solve -2*d = 18 - l for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 2\/9, 9\/4, -4, -0.1, 0.0467.\nAnswer: -4, -0.1, 0, 0.0467, 2\/9, 9\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 424662222251\/2392263120 - -21330\/586339. Let x = u - 3020\/17. Find the common denominator of 5\/16 and x.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) be the first derivative of -95\/6*c**6 + 0*c**2 + 0*c**4 + 0*c**5 + 30 + 0*c + 32*c**3. Find the third derivative of a(i) wrt i.\nAnswer: -5700*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 75 a factor of 800100?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o - 7*o - 4*j = 16, -4*o - 17 = -j for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 816 and 3399184.\nAnswer: 272","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*p - 8*p - 4 = 0. Let m(i) = -4*i**2 - i. Let v be m(-1). Let o be -1 + 0 - v - p. Solve -3*g = -2*g + o for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = -7*j + 279946, 23119 + 176841 = 5*j + r. What is the ten thousands digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -o**3 + 13*o**2 - 14. Let i be u(13). Let d = 1 - i. Calculate the remainder when 43 is divided by d.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) be the first derivative of 4*k**2 + 4. Let c(h) = 3523*h - 7047*h + 3522*h. Give s(c(q)).\nAnswer: -16*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 20*q**3 + 41*q**3 + 1.\nAnswer: 21*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2.5 - -1.3. Let m = 31.984 + -32.1. Let z = 0.884 - m. Which is the fourth smallest value? (a) 2 (b) n (c) 2\/7 (d) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 52111037 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 97060920 a multiple of 88?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -12*j**2 - 93*j - 69. Let n(v) = -5*v**2 - 47*v - 34. Let i(w) = 5*n(w) - 2*y(w). Find the first derivative of i(p) wrt p.\nAnswer: -2*p - 49","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -10537208, -21074418, -31611628, -42148838, -52686048?\nAnswer: -63223258","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (1 - 3 - 1)*-1. Suppose 5*h - y - 137 = 0. List the prime factors of h.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -497 - -20873\/42. Let x be 12\/10 - (-2)\/(-10). Suppose 4*v - 3*v + x = 0. Is v at least as big as r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n - 9 = -4*a, -2*n - 7 = -3*a + 1. Let o(m) = -5*m**3 - 8*m**2 - 6*m + 8. Let x(g) = g**3 + g**2 + g - 1. What is a*x(y) + o(y)?\nAnswer: y**3 - 2*y**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -b**3 - b**2 + 28*b + 8. Determine p(5).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.06*-85484.\nAnswer: -90613.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*l**4 + 5*l + 2*l - 1 - 2*l**2 - 6*l + 2*l**3 in the form b*l**3 + s*l + i*l**2 + r*l**4 + a and give r.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 82 divide 1766936?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2)\/1 - 104\/8. Let j be 5\/(q\/(-6)) - -2. Let c(s) = s**2 - 4*s + 3. Let f be c(j). Solve 2*n - 6*n - i = 17, -f*n = -2*i - 1 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 8*p**2 + 3*p - 4. Let d(g) = 7*g**2 + 3*g - 3. Suppose -4*q + r + 10 = -r, q + 10 = 3*r. Let x be 8*(-11)\/(264\/18). Give q*w(m) + x*d(m).\nAnswer: -2*m**2 - 3*m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3 * -28541646.\nAnswer: -85624938","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-481)\/65 - (-14)\/105*3.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) be the third derivative of p**5\/15 + p**4\/6 + p**3\/2 - 3*p**2. Let i be a(-2). Let u = -193 + 248. Calculate the greatest common factor of u and i.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -9510441, -19020882, -28531323, -38041764, -47552205?\n\"Answer: -9510441*t","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 35*c - 10 - 6 - 36*c. Calculate y(-13).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -d*j**3 - d*j**2 + 2*d*j - 7*d - 2*j**3 + 196135*j**2 - 373*j + 66 wrt j?\nAnswer: -6*d*j - 2*d - 12*j + 392270","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 7753 to the nearest 1000.\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -6479c19 + -5?\nAnswer: -6479c21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -159*k - 124. What is the thousands digit of q(-28)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 3\/50 of a gram?\nAnswer: 60000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t*t\/t**(4\/7)*t*t*t**(1\/4)*(t**(1\/3)\/t)**40*(t*t**(-2\/5))**(-2)*(t**(1\/4))**16 assuming t is positive.\nAnswer: t**(-8479\/420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (12\/(-10))\/(2\/10). Let x = 2578.7 + -2579. Which is the fourth biggest value? (a) x (b) -0.4 (c) -1\/5 (d) n\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5.48 times 0.88126?\nAnswer: -4.8293048","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2\/329 or -1?\nAnswer: 2\/329","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6687840?\nAnswer: 2, 3, 5, 13933","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yy when two letters picked without replacement from {h: 1, r: 1, w: 2, y: 6, v: 2}.\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -17665616 or -17665610?\nAnswer: -17665616","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/(-2))\/((-7)\/42)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 4906*m + 1 + 305*m**3 + 1 - m**4 - 4905*m in the form b*m**2 + q*m**4 + l + i*m + f*m**3 and give i.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 761733 and 20905339.\nAnswer: 188148051","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -56*n**3 + 5*n**2 - 5*n + 28. Let o(t) = -28*t**3 + 3*t**2 - 3*t + 14. Let c(b) = -3*i(b) + 5*o(b). What is the derivative of c(q) wrt q?\nAnswer: 84*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uu when two letters picked without replacement from uupp?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -0.4+51137230049016\nAnswer: 51137230049015.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 6063971, 12127941, 18191911, 24255881, 30319851?\n\"Answer: 6063970*a + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -935*-1.\nAnswer: 935","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -310 = -2*x + 268. Suppose -z = -9 - x. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from efgmugmmm. Give prob of sequence egg.\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -54, -0.5, 0.1?\nAnswer: -54","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*w + 20 = w. Solve -2*y - 2*c = 8, 3*c + 0 - 3 = w*y for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*t - 1 - 15*t - 8*t.\nAnswer: -32*t - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4 - 0. Let k = 59.167 + -56.167. What is the second biggest value in k, -4, a, 1\/43?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 104809\/14 + -7482. What is the common denominator of x and (2 + -6 + -2)*728\/224?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2 - 3.713.\nAnswer: -5.713","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1 + 5. Let n(w) be the third derivative of 2*w**5\/5 + 5*w**3\/2 + 514*w**2 + 4*w. Let v(j) = -6*j**2 - 4. Calculate f*n(d) + 15*v(d).\nAnswer: 6*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 11443 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/g**(1\/4))**(11\/4)*g*g\/(g*g**(-2)\/g)*g*g\/g**1)\/((g**(-1\/3)*g)**(-7\/4)\/(g\/(g\/(g\/(g\/g**(-1))))*(g*g*g**(-3\/7)*g)\/g)) assuming g is positive.\nAnswer: g**(2957\/336)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*r + 0*r + 3*r)*(-1 + 3*r + 1) + r**2 + 2*r**2 + 15*r**2 to v + x*r + b*r**2 and give b.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by -222382.\nAnswer: -1\/222382","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7.0117677 microseconds to days.\nAnswer: 0.00000000008115471875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 23, 19, 17, 17, 19, 23, 29?\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 262327 divided by 6?\nAnswer: 262327\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00052632 to six dps.\nAnswer: 0.000526","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 36*w**3 + 4*w**2 - 4*w**2 + 16*w**3 + 7*w**3.\nAnswer: 59*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*x + 16 + 32. Is x < 17?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 15*z. Let f be a(-1). Suppose 0 = 7*g - 2*g - 140. Let o = g + f. Is 5 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/30*1\/(-4)*15?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -10 + 16. Suppose -i*d = -2*d - 20. Does 3 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20270 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 114088 + 40492 = 2*h. What is h rounded to the nearest 1000?\nAnswer: 77000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -t**3 + 7*t**2 + t - 4. Let w be (-38)\/(-5) - (-3)\/(-5). Let o be v(w). Suppose -12 = -o*l - 0*l. Solve 0*q = l*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*h + 60 - 10 = 0. Solve -4*p - h*s + 4 = 0, -3*p = -4*p + 2*s - 4 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.05897431 to four dps.\nAnswer: 0.059","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3 + 1 - 5)*(-1 + 2 + 0) + 4 + 1 - 4 - 2 - 2 + 2 - 3 - 1 + 2 - 3 + 0 + 0)*(-7 + 7 + 4*i**2 - i).\nAnswer: -28*i**2 + 7*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 525 minutes before 11:08 PM?\nAnswer: 2:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 4*i**2 - 863*i + 865. Let d be b(1). Let m(t) = -3*t**2 + 24*t - 30. What is m(d)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (4\/6)\/((-2)\/(-12)). Suppose -155 = -v - w*v. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 9 + -13. Let a(q) = -q**3 + 2*q. Does 14 divide a(v)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 101809094 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 1339 divide 990727?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 divided by -106?\nAnswer: -1\/53","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 123029 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = q**3 - 9*q**2 - 9*q - 14. Suppose 3*o - 17 = -86. Let r = -13 - o. Let z be t(r). Sort -5, z, -1 in decreasing order.\nAnswer: -1, z, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*s**2 + 13*s - 13*s + s**4 + 5*s**2 - 57 as o*s**2 + b*s + n + h*s**4 + i*s**3 and give n.\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 966315543.\nAnswer: 3, 199, 1618619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1782\/(-324)*36\/4851?\nAnswer: -2\/49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.4, -1\/124, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (0 + -1)\/((-10)\/20). Solve n*a - 1 = 1 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d = -10 - 14. Let p(k) = -k + 9. Let w(t) = t - 8. Let r(i) = 5*p(i) + 6*w(i). Let b be r(7). Sort d, b, 3 in descending order.\nAnswer: b, 3, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -u**2 - u. Let n(f) be the first derivative of -8*f**3\/3 - 4*f**2 + 1. Let m(y) = 52*b(y) - 6*n(y). Factor m(c).\nAnswer: -4*c*(c + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.08 take away 99844224?\nAnswer: -99844224.08","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 18, 86, 174, 288, 434, 618, 846, 1124?\nAnswer: 1458","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -11857, -11797, -11737, -11677, -11617?\n\"Answer: 60*f - 11917","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -408, 4, -40959 in descending order.\nAnswer: 4, -408, -40959","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sum -33913183642 and -0.8.\nAnswer: -33913183642.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 46\/165 and -133\/120.\nAnswer: 1320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-420)\/(-36)*(-114)\/95?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 32914012?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 56 and 408.\nAnswer: 2856","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -a**2 - 8*a - 11. What is the smallest common multiple of 3 and h(-6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) be the first derivative of y**2 - 7479. Let p(t) = -123*t + 18. Give p(x(s)).\nAnswer: -246*s + 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = q - 3, -4*q + 3*f = 6*f - 7. Let j = 4 - q. Which is greater: 3\/2 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 6*g**2 + 1. Let f be m(1). Let a = -4 + f. What is the highest common divisor of 24 and a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l = -9*l + 300. Is 1265\/4 + l\/80 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qfdd when four letters picked without replacement from {d: 3, q: 1, f: 4, n: 1, j: 4, k: 1}?\nAnswer: 1\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 5212659799 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 5, -3\/2, -5, 1\/23?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -h**2 + 11*h - 6. Let y be a(10). Let z = y + -9\/2. Let s be 2*-1 - (-2 + 2). Which is bigger: z or s?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 100\/(-225)*(1 - (0 + 4)). What is the third smallest value in 0, 3.4, o?\nAnswer: 3.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1 - 10133?\nAnswer: -10132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 2*u + 28 = -u, -4*r + 5*u - 35 = 0. Let c = -15 - r. Let s be (-45)\/c + 1\/2. Solve 0 = -s*k - 4*h, 4*k + 11 = -2*h + h for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one tenth of a litre?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-6)\/(-2))\/((-3)\/(-2)). Suppose -4*d - 20 = -2*v, 4*d = d - j*v - 15. Let r(h) = 22*h + 10. Let c(o) = 7*o + 3. What is d*r(s) + 16*c(s)?\nAnswer: 2*s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -m**3 - 7*m**2 - 12*m.\nAnswer: -m*(m + 3)*(m + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-33)\/22)\/((-6)\/(-8))*-4614. Suppose -t + n = -4*n - v, -4*n - 36928 = -4*t. Suppose 10*u - 30223 = -t. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*s - 226 = 80. Suppose 0 = 20*w - 6 - s. Solve -6*k = -w*k - 12 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -3\/7, 0.05, 2, -2\/177?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3263036146 to the power of 1\/3, to the nearest integer?\nAnswer: 1483","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21231853 is divided by 72?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 26\/(-65) + (-52)\/(-5). Suppose -6*f + 82 = p. Calculate the highest common divisor of f and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 173\/221 - -9534\/221. Let u = -44 + z. Is u less than or equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 11 + -6. Suppose k*y + 2*h - 86 = 149, 2*h + 170 = 4*y. Differentiate 3 - y - 48*g + 15*g with respect to g.\nAnswer: -33","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -73\/3670 and -103\/640.\nAnswer: 234880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 809?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -5*m + 71. Let z be c(-3). Suppose -z*s - 32 = -94*s. Solve 0 = -3*i - 4*w + s + 8, -4*w = -i - 12 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(153)*3)\/sqrt(9).\nAnswer: -9*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:12 PM and 6:02 AM?\nAnswer: 710","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1761 + -15?\nAnswer: -1776","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -42.29 and -5891?\nAnswer: 249130.39","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -30*z + 16. Let u(w) = 77*w - 40. Let b(c) = 2*u(c) + 5*y(c). Let x(q) be the second derivative of 0*q**2 - 2*q + 0 - 7\/6*q**3. Determine x(b(f)).\nAnswer: -28*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -429 times -41728?\nAnswer: 17901312","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = k**2 + 3*k + 2. Let y be i(-2). Suppose -2*l + y = 8. Let q(x) = -15*x - 1. Is q(l) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g - 12 = b, 3*g + 7*b - 4*b = -6 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 1668, 743, -814, -3003, -5824, -9277?\n\"Answer: -316*x**2 + 23*x + 1961","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*w**2\/13 + 262*w\/13 + 768\/13.\nAnswer: 2*(w + 3)*(w + 128)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:17 AM and 2:57 AM?\nAnswer: 40","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -185 (b) -93 (c) 11\/5 (d) -1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 355288?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor k**2 + 4394*k.\nAnswer: k*(k + 4394)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -12 + 17. Let f(c) = c**3 - 5*c**2 + 2. Let n be f(y). Suppose -h + n = -6. What is the remainder when 22 is divided by h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = m**2 - 16*m + 27. Let p be y(14). Let v be ((-1)\/(-4))\/1*(9 + p). What is the hundreds digit of v - (-190 - 3 - 0)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 35555 is divided by 207.\nAnswer: 158","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = -c + 219, 3*c + 5*n = 4*c - 254. Calculate the remainder when c is divided by 33.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*i**2 + i**2 + 2*i**2)*(-3 + 6 + 0)*(-2 - 3*i + 2) - 51*i**3 + 473*i**3 + 973*i**3.\nAnswer: 1404*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -108 times -0.1?\nAnswer: 10.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 10 = -5. Suppose -3*i + 10 = y*s, 3*s - 6 = 3*i - 5*i. Suppose -10 = r - 12. Solve s*k + r = 10 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 24*t**2 + 134*t - 46. Calculate c(-6).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 2*s**3 - 14*s**2 + 10*s - 41. Calculate p(7).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*sqrt(9)\/(sqrt(192) - (-1*sqrt(192) - sqrt(192)))*5)**2*3.\nAnswer: 225\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9158*1.1.\nAnswer: 10073.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -42 + 42. Let a(j) be the third derivative of t + 0*j + j**2 + 1\/6*j**3 + 1\/8*j**4. What is the first derivative of a(c) wrt c?\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 10\/13, -0.47, -22\/21, -1\/5?\nAnswer: -22\/21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 516 - 505. Suppose -2*r - 80 = -s*l + 6*l, 2*r = -2*l + 18. Solve l*q + 41 = -29 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11*y + 17*y - 11*y)*(y - 2 + 3 + 2).\nAnswer: 17*y**2 + 51*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -15*m**3 + 4*m**2 - 4*m - 4. Let n(p) = 2*p**3 + 30*p**2 - p - 11. Let s be n(-15). Let b(q) = -29*q**3 + 9*q**2 - 9*q - 9. Give s*b(f) - 9*r(f).\nAnswer: 19*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 59726194357 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1 + 31211113?\nAnswer: 31211120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 104 = 4*k - g, 0 = -0*k + 4*k - 2*g - 104. Suppose 27*h - 882 = k*h. What is the hundreds digit of h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -201361 + 201361. Let v = -1 - -2. Suppose -2 = -q - v. Solve a = y + 4 - q for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 46 and 20?\nAnswer: 460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out -898.8 * -4200.\nAnswer: 3774960","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5\/19 in -2, -1\/4, 326?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = r + 4*r. Suppose 0*x - 9 = 3*x. Let m = x + r. Let l(v) = -6*v**2 + 1. Calculate l(m).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 230, 359, 232, -277, -1294, -2945, -5356, -8653?\nAnswer: -12962","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -6726.7 - -6725. Which is the third biggest value? (a) w (b) 2\/11 (c) -0.065\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -51121*i - 2 + 7 + 25563*i + 25484*i - 5.\nAnswer: -74*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 - 50 = -14*a for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve l**3\/4 - 19*l**2\/2 - l\/4 + 19\/2 = 0 for l.\nAnswer: -1, 1, 38","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*o - 2 + 2)*(-239*o**2 - 1967 + 1985 - 25*o**2) as m*o**2 + a*o**3 + y*o + p and give a.\nAnswer: -792","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 191 times 1453926?\nAnswer: 277699866","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -516 + -39. Let y = b + 562. Solve 2*f + 2*m + 12 = 4*m, -y = 2*f + 3*m for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-87199 - 430*r + 2614*r + 87199)*(-5 + 5 + 2*r**2).\nAnswer: 4368*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1553 is divided by 1308.\nAnswer: 245","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18*g - 25*g - 1323 + 49*g - 6053.\nAnswer: 6*g - 7376","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/3)\/1*36\/(-24).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 91 a factor of 670488?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -51*p**2. Let i(f) = 2*f + 10. Let s(h) = 5. Let c(x) = -i(x) + 2*s(x). What is g(c(l))?\nAnswer: -204*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 51*y**2 + 4*y + 5. Let j(k) = -16*k. Determine g(j(q)).\nAnswer: 13056*q**2 - 64*q + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -136 + 472124?\nAnswer: 471877","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 18 - 3 = o, 5*o + r = 25. Is 24 a factor of 18\/(7\/(98\/o))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -45, -85, -111, -117, -97, -45, 45, 179?\n\"Answer: m**3 + m**2 - 50*m + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) be the third derivative of -15*z**9\/28 + 17*z**5\/60 - z**4\/8 + 671*z**2. What is the third derivative of d(w) wrt w?\nAnswer: -32400*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -5\/2 - 55\/2*u**2 + 35\/2*u + 25\/2*u**3 = 0. What is u?\nAnswer: 1\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + k = 16, 5*i - 67 = -2*k. Find the common denominator of (-1 + 72\/i)\/(4\/(-5)) and 85\/8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.07 (b) 18 (c) 1\/4 (d) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = z**3 + 3*z**2 - 6*z - 4. Let l(n) = 5*n**2 + 12*n + 11. Let x(y) = -3*y**2 - 8*y - 7. Let s(t) = -5*l(t) - 8*x(t). Let h be s(5). Give c(h).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11 - (11 + -10 - (-4 + 13))?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -d**3 - 69*d**2 - 2*d - 29. Let q be a(-69). Solve 0 = -q*w + 104*w + 30 for w.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4097451?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 611 (b) 20 (c) -2\/3 (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j - j = -2*j + 80, v + 26*j = 2*v + 515 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 47*h + 2 - 2 = 0. Sort -4, 4, 11, h.\nAnswer: -4, h, 4, 11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -27097 + 108387\/4. Which is the nearest to t? (a) 1 (b) -361 (c) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(-4 + (-2*sqrt(864))\/sqrt(2)))**2.\nAnswer: 768*sqrt(3) + 6976","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 382 (base 10) to base 13\nAnswer: 235","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 296 is divided by 180.\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 6667 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 792*65\nAnswer: 51480","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1293.0648 months in millennia?\nAnswer: 0.1077554","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*u + 15 = -9 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 5, y: 5, u: 4, n: 1}. What is prob of picking 2 y?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6503516 (base 11) to base 4.\nAnswer: 223220302010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*t + 121 + 14. What is the units digit of t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((451\/4)\/11)\/(1\/(-4)). Let j = g - -47. Solve 3*o - 9 = -2*h, 0*o + 2*o = -4*h + j for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -o. Let c be x(3). Let s be (c\/6)\/((-2)\/140088). Suppose 11022 - s = -4*l. What is l rounded to the nearest one thousand?\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -14592858, -29185726, -43778594, -58371462, -72964330, -87557198?\n\"Answer: -14592868*i + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6216 + 3149 + g + 3067.\nAnswer: g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 - 9 = -d. Solve 3*z = 4*v - 3, d*v = -5*z - 0 + 30 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2915, -5826, -8737, -11648?\nAnswer: -14559","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 314 is divided by 70.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in three fifths of a kilometer?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -574.54037 * -0.5\nAnswer: 287.270185","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 30382085 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 5*r. Let d(q) = 138*q**2. Determine d(x(a)).\nAnswer: 3450*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-227 - -216 - (-5 + 2 - 2)) + 4?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -2*l**3 - 5*l**2 - 2*l - 8. Let d be x(-3). What is the greatest common divisor of 7 and d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3391\/2 less than or equal to 339\/23?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 - (6 - 9) - 12.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 6717.3 + -6717. Let c be 60\/(-14)*(-20 - -1). Let x = 82 - c. Sort x, v, 5 in descending order.\nAnswer: 5, x, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 + -547*(4 - 5) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in one tenth of a kilogram?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -16*r**4 + 56*r**4 - 17*r**4 + (-1 + 1 + 3*r)*(2*r + 1 - 1)*(-4*r**2 - 3*r + 3*r).\nAnswer: -r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-105)\/126*16\/(-10).\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 15.9 - 16. What is the biggest value in 2\/5, -5, g?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.7 + 0.3. Let g = -2.12 - 1.88. What is the smallest value in 1\/3, 0, g, q?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2448) + (sqrt(2448) - (sqrt(2448) + sqrt(2448)*2*1)) + -3 + 4 - 6*sqrt(170)\/(sqrt(30)\/(sqrt(3)*-1 - sqrt(3)))*5)**2.\nAnswer: 96*sqrt(17) + 39169","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = b**3 + 4*b**2 - 8*b - 6. Let k be 1\/((-2)\/(-23 + 3)). Calculate the remainder when (3 - (-3)\/6)*k is divided by a(-5).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4291 + 4297.3. Put q, 11, 5 in descending order.\nAnswer: 11, q, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 17618 and -6968.\nAnswer: 10650","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -b + 16. Let p be v(9). Let x = p + -2. Suppose 5*y - 5*s + 10 = -0*y, -4*y - 12 = -x*s. 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 o(g) = g - 13. Let u be o(13). Let q = 0 - u. Solve -4*h - h = 15, 3*p - 3*h - 12 = q for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (26*i - 57*i + 4*i)*(-3*i - i + 5*i) in the form v*i + a + w*i**2 and give w.\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 167, 326, 477, 620, 755, 882?\n\"Answer: -4*v**2 + 171*v","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 5704 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 2*s**2 - 4*s - 2. Let m be n(8). Let g(d) = -5 + 97*d - m*d + 2. Let u(x) = 6*x - 7. Calculate -5*g(k) + 2*u(k).\nAnswer: -3*k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand 208 + 5*j**3 - 2*j - 208 + (-4 + 2*j**3 + 4)*(0 - 2 + 1).\nAnswer: 3*j**3 - 2*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*k - 6*k + 25*k**3 - 21*k**3 - 3*k**3 - 3*k - 3 as m*k**2 + o*k + v*k**3 + f and give f.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -4*c**2. Let x(z) = 6158659*z**2. What is x(n(t))?\nAnswer: 98538544*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9074*-194.\nAnswer: 1760356","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2523365 + 11?\nAnswer: 2523376","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -7 + 3. Let j(r) = -2*r + 1. Let k be j(3). Sort 0, k, p in ascending order.\nAnswer: k, p, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 13 + 5. Is w a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8954?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -232880 divided by -58220\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1774167531 a multiple of 419?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -37.2 - 6.8. Let c = i - 3. What is the closest to c in -1\/2, 0, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -60305 by -415.\nAnswer: 12061\/83","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of x**2 + 25*x + 179.\nAnswer: 2*x + 25","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -68960, -69079, -69210, -69359, -69532, -69735, -69974, -70255?\n\"Answer: -l**3 - 112*l - 68847","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4 + 6 - -2) + -4?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2716.3 and -8.\nAnswer: 21730.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does -1 = -2\/67358081?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -3*m + 29. Calculate w(5).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b - 21 + 54 = 0. Suppose -b*v = -14*v - 18. Round v to the nearest ten.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-9)\/(-144)*-2)\/(1\/(-8)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*q + 0*q + q + (2*q - 3*q + 0*q)*(-1 - 3 + 0))*(2*q - 3*q + 2*q) to a*q**2 + c*q + v and give a.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0\/1*((-7)\/(-2))\/7.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pppppugppcupgucgu. What is prob of picking 1 g, 1 u, 1 c, and 1 p?\nAnswer: 48\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -58, 40, -5, 4 in descending order.\nAnswer: 40, 4, 1, -5, -58","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -25367, -25369, -25379, -25403, -25447, -25517, -25619?\nAnswer: -25759","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) be the second derivative of -w**4\/3 - 3*w. Let o(p) = -318*p + 0 + 642*p + 5 + 1 - 317*p. What is y(o(g))?\nAnswer: -196*g**2 - 336*g - 144","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 4*b**2 - 4*b + 3. Let r(y) = -2*y**2 + 29*y + 9. Let x be r(15). Let t = 4 + x. Let k = 0 - t. Determine n(k).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 869903 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 658346.4 hours to milliseconds.\nAnswer: 2370047040000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.41, -4\/3, -0.5, -0.08, 16 in decreasing order.\nAnswer: 16, -0.08, -0.41, -0.5, -4\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 2246922748?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -26077700 rounded to the nearest one hundred thousand?\nAnswer: -26100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000855181 rounded to four dps?\nAnswer: 0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Are 0.14912 and 22 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -514198, -1028397, -1542596, -2056795?\n\"Answer: -514199*w + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 4*a + 15. Let v(f) = -f. Let b(j) = j. Let u(r) = -5*b(r) - 3*v(r). Give u(m(q)).\nAnswer: -8*q - 30","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) be the third derivative of 1\/10*h**5 + 0 + 5*h**3 + 0*h**4 - 19*h + h**2. Differentiate x(b) with respect to b.\nAnswer: 12*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -63024, -125985, -188936, -251877, -314808, -377729?\nAnswer: -440640","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(114)*1*1 + sqrt(114))\/(sqrt(150) + 4*sqrt(150) - sqrt(150) - sqrt(6) - sqrt(6)).\nAnswer: sqrt(19)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1558090.\nAnswer: 2, 5, 155809","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(30) - (sqrt(30) - (sqrt(30) - (sqrt(30) - sqrt(210)\/(1*sqrt(7))))) - sqrt(30)))\/((2*sqrt(80))\/sqrt(8) - -3*(sqrt(10) - sqrt(40))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 32770, 65595, 98516, 131581, 164838, 198335, 232120?\nAnswer: 266241","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 7 - 2. Suppose -a - r*m - 26 = 3*a, 0 = 5*a - 5*m + 10. What is the lowest common multiple of (a\/8)\/((-1)\/4) and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r - 13600 = -2*r. Suppose -q = 3*q - r. Round q to the nearest one thousand.\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 5, 1, -5, -3, -1\/5, 2\/7?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 12 and 2683206?\nAnswer: 5366412","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/4 smaller than -48?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 16.5761cm in millimeters?\nAnswer: 165.761","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 17 - 11. Solve 5*m + n = 4*l - 13, 5*l = -3*m - 4 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 + 12 + (-4 - 6)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f + 67 - 656 = 4*o, 3*f - 346 = -5*o. What is the hundreds digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 5d + -5?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 11610806617 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = g - 2*v - 4641, 3*g = 28*v - 32*v + 13943. Suppose 3*t - 3 = 0, 5*o - 2005 = 5*t + g. Is o a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:30 PM and 10:55 PM?\nAnswer: 265","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 19? (a) -3 (b) 5 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:23 AM and 12:28 PM?\nAnswer: 185","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + (-1 - 1 - (11 + -7))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 30 + -26. Suppose -18 = -x*f + 2. Calculate the greatest common divisor of 20 and f.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6494 divided by -17\nAnswer: 382","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28 = -9*r + 16*r. Let i(g) = 2*g**3 - 9*g**2 + 4*g + 5. Let j be i(r). Solve n - j = -3 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1528 + -1525. What is the third biggest value in 2\/5, m, 50?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 714 = 710?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1415536925?\nAnswer: 5, 11, 773, 6659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 53*d - 393*d + 1274*d + 1373*d as b + k*d and give k.\nAnswer: 2307","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 4*n**2 + 10. Let v(x) = -3*x**2 - 9. Let p(u) = 4*b(u) + 5*v(u). Let t(l) be the first derivative of p(l). Let m(w) = w. Determine 3*m(o) - t(o).\nAnswer: o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (4 - 7)*(-8)\/6. Let q = -11905 - -147440. Suppose 0 = -f*j - 108465 - q. Round j to the nearest ten thousand.\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1\/6, 2\/7, -5, 9?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2 + 1)*201\/(-41). Let a = 1483\/492 + q. What is the common denominator of a and (9\/18)\/(27\/(-141) + 0)?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1345 divide 209554683?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*b**5 + 16*b**2 - 812*b wrt b?\nAnswer: 40*b**3 + 32","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) be the first derivative of -l**2 - 17*l - 67. Differentiate s(w) wrt w.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 154*i + 1439*i + 68079 = 876*i - 1346*i for i.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 8*q**3 - 2*q**2 + q + 2. Let h be l(-1). Is 16\/72 - 439\/h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 3 + 0)*(1322*w**4 - 8 - 1318*w**4 - 16).\nAnswer: 4*w**4 - 24","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -46 in 0.1, -2, 5\/3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*u - 4*x + 26, 19 = 5*u - 3*u + 3*x. Let s be 4\/((-24)\/30) + 6192. Let m(h) = -3*h**2 - 3 - s*h + 6190*h - h**2. Give m(u).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5905 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -3\/2, -1.25.\nAnswer: -2, -3\/2, -1.25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 g and 1 q when four letters picked without replacement from qqgggqgqggqq?\nAnswer: 8\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-4 + 2)*15\/12*7\/(-70). Let y(o) be the first derivative of -24 + 0*o**3 + 0*o**2 + 0*o + m*o**4. Calculate y(0).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -15*d**2 - 815*d**4 + 815*d**4 - 22*d**5 wrt d.\nAnswer: -1320*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 = -10*w + 16*w for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 13\/2 + 22\/(-44). Let p(q) = q**2 - 4*q - 3. Calculate p(i).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 122610473 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -140*s + 570. Let z be b(4). What is the greatest common factor of z and 2560?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 966219?\nAnswer: 3, 322073","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*j**4 - j**4 + 5*j**4 - 1247*j**2 + 1247*j**2 - 172*j**4 + 0 + 0 + 2*j**4 + (-3*j - 3*j + 4*j)*(-3*j**3 + 5*j**3 - 4*j**3).\nAnswer: -168*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y + 7 = 9, 0*l + 2*l + y = 6*l + 277 for l.\nAnswer: -69","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14 = 2*w - 4*y, 0*w - w - 4*y = 11 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-7)\/(-14)*(0 - -6). Suppose -4*f - i*d = -37, 2*d - 7 = -17. Is f a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-23 - -56)\/((-51)\/(-17)).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3191 - 3192. Which is the second biggest value? (a) 5 (b) -13 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 0 - 33\/(-3) - 0. Let l = y - 8. Let j(s) = s**2 - 2*s - 1. What is the least common multiple of j(l) and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w**(-5\/3)*w)\/w)\/w*w)\/(w**(-7)\/w) assuming w is positive.\nAnswer: w**(19\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1\/2*x - 1\/4*x**3 + 0 + 3\/4*x**2.\nAnswer: -x*(x - 2)*(x - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 834 at most -49661?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(48)\/sqrt(2)*3 - sqrt(24))\/(2*sqrt(128)) + (sqrt(432)*-2 - (sqrt(3) - (sqrt(3) - (sqrt(3) + sqrt(3)*2)) - sqrt(3))*2).\nAnswer: -111*sqrt(3)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 129*d**2 - 124*d**2 - 2*d**3 + 1 - 3. Let s(r) = -r. Let b(v) = -n(v) - 2*s(v). Let o(z) = -z**2 + 6*z + 10. Let p be o(7). Determine b(p).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -a**2 - 870 - 453 + 3*a - a + 12072.\nAnswer: -a**2 + 2*a + 10749","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*j + 684 - 698 for j.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (28\/32 + 0)*12\/14. Put s, -0.5, 28 in descending order.\nAnswer: 28, s, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 15 (base 9) to base 12\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 4031 or -3304?\nAnswer: 4031","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a meter in millimeters?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -m**3 - 3*m**2 - 4*m - 2. Let t = -1 - 1. Let f be b(t). Are f and 0 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.114? (a) -7\/2 (b) -2\/3 (c) -2\/5 (d) 0.1 (e) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:16 PM and 1:27 AM?\nAnswer: 491","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00003741 rounded to 6 dps?\nAnswer: 0.000037","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -39 + -23. Let p = -18 - z. Does 43 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 32228.\nAnswer: 2, 7, 1151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w\/(w\/(w*((w\/((w**(-3\/7)\/w)\/w*w))\/w*w)\/w*w))*w*w*w\/(w\/w**(1\/15))*((w\/((w\/((w*w**(-2\/7)*w)\/w))\/w))\/w*w*w)\/w*w**(-6)*w assuming w is positive.\nAnswer: w**(232\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 102294320 to the nearest integer?\nAnswer: 10114","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 225210389 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -2*2*((-300)\/(-66))\/(-10)*220\/1100?\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3.07 + 0.07. Let w = z - -6. Let r = -1 - -1. What is the third biggest value in w, r, 1\/11?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x + 2*u = 18, -3*x = 76*u - 75*u - 5 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 9*v**2 + 16*v - 1. Is r(6) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 5870486, 11740955, 17611416, 23481869, 29352314?\n\"Answer: -4*r**2 + 5870481*r + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 40*y**2 + 0*y**3 - 2*y + 11*y**2 - 12*y**3 + 25*y**2 - 4*y**2 to m + f*y + c*y**3 + s*y**2 and give c.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c - 3*g + 0 + 1 = 0, 3*c - 5*g = 8. Suppose 3*s + 14 = 2, -o = -2*s - 3. Sort c, o, -2.\nAnswer: o, -2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4413 is divided by 173?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 658463 to the nearest integer?\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 435 and 317094207?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 8 + -8. Let z(r) be the second derivative of -1\/30*r**6 + 0 + 0*r**3 - 4*r + 0*r**2 + 5\/12*r**4 + y*r**5. What is the third derivative of z(v) wrt v?\nAnswer: -24*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-56)\/(5 - (-126)\/(-24))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4976*l**5 - 4*l**4 - 4343*l**2 + l - 2?\nAnswer: 298560*l**2 - 96*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.4228 - -0.8228. Which is the fourth biggest value? (a) r (b) -2\/131 (c) -5 (d) 3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 36973*r - 628. Let g(q) = -10*q. What is c(g(t))?\nAnswer: -369730*t - 628","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - -1 - (14 - (14 - -5))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 4377 divided by 1459\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -1 + -3 + 9 + (-2 - 0)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 268666.\nAnswer: 2, 134333","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 + 14 = 4*w. Suppose -w*a + 80 = 5*j, 0*a - 7 = -j - 4*a. What is the units digit of j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 7*c**2 + 11*c + 2. Let l(m) = m**2 + m + 1. Give -6*l(f) + z(f).\nAnswer: f**2 + 5*f - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 1 m when two letters picked without replacement from ffktkmkttkkkf.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is o in -2\/13*o**3 + 8\/13*o + 16\/13 - 4\/13*o**2 = 0?\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 10876 to the nearest integer?\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x + 0*x = -3*h - 3, -15 = -3*h + 2*x. Which is the second biggest value? (a) 334\/3 (b) -5 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:24 AM and 5:48 PM?\nAnswer: 504","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand -z**5 + z**5 - z**2 + 2*z**5 + (2*z**4 - 4*z**4 + z**4)*(-2*z + 6*z - z).\nAnswer: -z**5 - z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (58\/12*-3)\/(1934\/3868).\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/4, -127.2, 12 in increasing order.\nAnswer: -127.2, -1\/4, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2*(28\/12)\/(-7)*(-18)\/(-4)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 204\/(-51)*9\/20?\nAnswer: -9\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -678 (base 10) to base 6\nAnswer: -3050","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 139439*z**3 - 68613*z**3 - 69241*z**3.\nAnswer: 1585*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -12 + 12. Suppose z + 4*t = 3*z - 124, -5*z + t + 346 = g. Is 8 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) be the second derivative of 1232*f**5\/5 - 829*f**4\/4 - 7*f + 287. What is the third derivative of y(p) wrt p?\nAnswer: 29568","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2698 and 7668?\nAnswer: 145692","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3689\/3 + 1230. Let w = 6 - 5.95. Put w, z, 3 in descending order.\nAnswer: 3, z, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3774408411 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) be the first derivative of -b**3\/9 + 25*b**2\/3 + 104*b\/3 - 946. Let h(d) = 0. What is d?\nAnswer: -2, 52","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 0 - 5)*(24*k**5 + 217*k - 217*k) - 4*k**5 + 4*k**5 - 2*k**5 + (-2 + k**2 + 2)*(3*k**3 - k**3 - 3*k**3) - 2*k**5 - 1 + 1 - 5*k**5 + 5*k**5 - k**5.\nAnswer: -54*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -10885106.38 to the nearest one million.\nAnswer: -11000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 9900572 and 650056?\nAnswer: 3652","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -3 + 29 - (0 - -4). Let c be j\/(-3) - (-4)\/(-6). Let n(b) = b**2 + 2*b - 10. What are the prime factors of n(c)?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 78 divide 32431230?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -374*o + 2. Let m(b) = -180262*b + 965. Give 2*m(u) - 965*q(u).\nAnswer: 386*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9553270.\nAnswer: 2, 5, 31, 30817","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*(1*sqrt(170) + sqrt(170) - sqrt(170)))\/sqrt(640))**2*-3.\nAnswer: -51\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 111 minutes before 9:12 AM?\nAnswer: 7:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -9a + 42?\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1398683 by -284.\nAnswer: 1398683\/284","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve k**4\/7 + 24*k**3\/7 - 201*k**2\/7 + 484*k\/7 - 372\/7 = 0.\nAnswer: -31, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -36 - 0\/(3\/3). Let m = 107\/3 + z. Sort m, 1\/12, 0.1 in descending order.\nAnswer: 0.1, 1\/12, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -5*f + 5. Determine a(-1).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*g*t**3 + 31*g*t**2 + 84055*g*t - 32101963*t**3 + 3 wrt t.\nAnswer: -12*g - 192611778","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1.9 - 0.1. Suppose -5*h + 16 = -h. Suppose -h*o = -2*o. Sort v, o, 5 in decreasing order.\nAnswer: 5, o, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 556441?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -235, -1197, -3227, -6673, -11883, -19205, -28987?\nAnswer: -41577","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -15 or -113\/7?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 37 + (6\/6 - 2). Suppose -2*d + g = 33*w - 31*w, -4*d = -3*w + 33. Solve 3*k = -3*x + 6*x + w, -8 = -k + 2*x for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 16) to base 9\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 43024968 a multiple of 57?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10 + -110?\nAnswer: -100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.3 (b) -1\/5 (c) 0.2 (d) 7.9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -82.6 + 78. Let j = y + 4.62. Sort -0.1, -4, j.\nAnswer: -4, -0.1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -21 + 23 + (2 - 5).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 479 + -401. Suppose -618 = -3*j - 3*x, -x - 126 = -j + o. What are the prime factors of j?\nAnswer: 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 97779373?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -758 - 392. Let q = o - -19544\/17. Do q and -1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 299424 a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/2? (a) -2\/25 (b) 0.04 (c) 0 (d) 2657\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c = 280 - 1180. Suppose -2*l = -l - x - c, 2*l = x + 357. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 100 and 2500.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -r**3 + 4*r - 4*r**2 - 1 - 1 - 4*r + 4*r. Let h be b(-5). Let x(z) = 0 - h*z + 5*z + 0. Let o(y) = 4*y**2. Calculate x(o(k)).\nAnswer: 8*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 101 is divided by 16?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r - 36 = -4*f, -125*f + 127*f - 36 = -4*r for f.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 674 is divided by 538?\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*d - 9\/2*d**2 + 3\/2*d**3 + 0.\nAnswer: 3*d*(d - 2)*(d - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12)\/30*(-5)\/1?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 10 - 6*i**2 - 1 - 9. Let c(r) = -15*r**2 - 4*r + 4. Let y(f) = -16*f**2 - 5*f + 5. Let m(o) = 5*c(o) - 4*y(o). What is m(s(w))?\nAnswer: -396*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 149 + 0*d**2 - 9*d**2 + 8*d**2 - d + 7 - 13*d. Let u be h(12). Which is smaller: u or -157?\nAnswer: -157","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(96)\/(-4*sqrt(108) + sqrt(108) + sqrt(108)) + 3*sqrt(96)\/sqrt(192))**2.\nAnswer: 49\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 + -11 + 2 - (0 - -2)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 34270725, 137082912, 308436557, 548331660, 856768221, 1233746240, 1679265717?\nAnswer: 2193326652","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*5*(-1 + sqrt(19) + 1).\nAnswer: 15*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 15 - 0. Let o be (-4)\/20 + (-57)\/x. Put -2, o, 3 in decreasing order.\nAnswer: 3, -2, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) be the third derivative of 0*g**3 + 0*g - 2*g**2 + 0 + 1\/24*g**4. Let q(y) be the second derivative of y**3\/3 + 3*y. Give f(q(n)).\nAnswer: 2*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -50058*d*l**3 + 3*d*l**2 - 312*d - 2*l**2 wrt l.\nAnswer: -300348*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 255\/(-51)*((-68)\/10)\/(-2).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.802 + 0.048. What is s rounded to the nearest integer?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (792\/(-3))\/(-8)*1296\/(-528)\nAnswer: -81","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of 28477 and -49.3.\nAnswer: -1403916.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 17531 - 17531. What is the nearest to 6 in j, -5, -47\/3?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 17, 16, 1, -4, -3, -406.\nAnswer: -406, -4, -3, 1, 2, 16, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -0.1, 0.2, 1\/7, 2\/11?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -b**2 - b**2 - 2*b**3 - 5*b**3 as r + k*b + l*b**3 + q*b**2 and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -148*u = -146*u + 2. Let c be (-413)\/280 + u\/8. What is the smallest value in 4, c, -0.2?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6718170?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 90 and 2560.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 636605 to the power of 1\/2, to the nearest integer?\nAnswer: 798","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.3 and 0.55941.\nAnswer: 0.85941","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -7*j**2. Let d(i) be the second derivative of -i**7\/1260 + i**4\/12 + i. Let f(g) be the third derivative of d(g). Calculate f(o(n)).\nAnswer: -98*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u - 2*r + 6 = 0, -2*u - 5 - 10 = -5*r. Let k be 2\/(-136) - 99\/(-396). Factor -6\/17*g**2 - 2\/17*g**3 - k*g + u.\nAnswer: -2*g*(g + 1)*(g + 2)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 389\/3 - 111. Calculate the common denominator of m and -3\/10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (34*a**2 + 40*a**2 - 2*a - 64*a**2 - 2)*(a - 17*a**2 - a) to z*a**2 + t + y*a**3 + w*a**4 + g*a and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence effe when four letters picked without replacement from eeeeeeefefeee?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gnn when three letters picked without replacement from {q: 5, n: 3, g: 2, b: 5}.\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 165\/22*8\/10. Suppose -12 = -4*j - 5*q, 7*j + 2*q = 2*j + 15. Solve j*h - v = 0, 0 = u - 2*h - 0*h for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 69 - ((-6 - (-34 - -28)) + (9 - 0))?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 4215.34 micrograms in milligrams?\nAnswer: 4.21534","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 17.66295 kilometers in micrometers?\nAnswer: 17662950000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -53\/220 and (2\/16)\/(13\/(25740\/1026)).\nAnswer: 12540","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 48 + -238\/5. Let h be (2\/(-55))\/(2\/(-10)). Which is the nearest to 0.1? (a) -0.1 (b) h (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 5236 (b) -0.06 (c) 0.2 (d) -0.0115 (e) 0.06 (f) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -6 - -8. Suppose x - 42 = -b*x. Suppose -s = 13 - 15. Calculate the greatest common divisor of s and x.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38*g - 1064*g + 144403 = -161*g + 32818 for g.\nAnswer: 129","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 20823630 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jhjhbxbhbbbb. Give prob of sequence hx.\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = d + 21. Let f be m(0). Let a(t) = t**2 - t. Let i(y) = y**3 + 6*y**2 - 7*y. Let l(v) = f*a(v) - 3*i(v). Find g such that l(g) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 150ba7 - -2?\nAnswer: 150ba9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5 + 1. Let p = 464 - 1855\/4. Let t be 38\/(-30) - (-9)\/15. Put p, t, r, 3 in increasing order.\nAnswer: r, t, p, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 48, -27, 65, 6 in ascending order.\nAnswer: -27, -2, 6, 48, 65","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 14557688?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 351887696 a multiple of 62?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 239 - 239.001. Round k to three decimal places.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(-3))**(-13\/3)*l\/l**(-33)*l*l\/(l\/l**12))**24 assuming l is positive.\nAnswer: l**1440","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 9 + -3 - (-2 + -263). Find the second derivative of -z*u + 239*u - 48*u**5 - 19*u**5 wrt u.\nAnswer: -1340*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.6 and -7676180.\nAnswer: -7676180.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.497 + -0.003. Which is the closest to 2\/3? (a) 5 (b) -0.1 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/6)\/(1\/3).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 + 6\/5)\/2*-4.\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -3*j**3 - 2*j**2 - 1. Let m(s) be the third derivative of 1\/24*s**4 + 1\/6*s**3 + 0 + 0*s + 1\/120*s**6 + 0*s**5 - 6*s**2. What is -b(o) - m(o)?\nAnswer: 2*o**3 + 2*o**2 - o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 1426.024 milligrams?\nAnswer: 0.001426024","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 93298583.\nAnswer: 7, 1453, 9173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by 13218.\nAnswer: 1\/13218","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/(-30) - 4\/15?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 29055414.\nAnswer: 2, 3, 17, 284857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 12443633 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -v**3 + 9*v**2 - 5*v - 9. Let z be r(8). Suppose z = 2*j + j. Determine h so that 2*h + 0*h - 2*h**2 + j*h**2 = 0.\nAnswer: -2\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 355103*c**3 + 4*c - 26469.\nAnswer: 2130618*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 97 + -22. Suppose 2*n - o - 51 = 0, 6*n - 3*n - 3*o = g. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1\/(1 - (-7)\/(-6)). Let b(v) = v**3 + 7*v**2 + 6*v + 4. Let y be b(x). Suppose 2*p = -y*h + 68, 3*p - h - 102 = 2*h. What are the prime factors of p?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -290675060 by -4471924.\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 1225*d**3 + d**2 - 1511*d - 79781443 wrt d.\nAnswer: 3675*d**2 + 2*d - 1511","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 214 + -210. Suppose 2*b - r*d - 584 = -2*b, 149 = b - 2*d. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2312270 (base 8) to base 7\nAnswer: -5223413","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3449 + 26350. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 49438 divided by 24719.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/((r*r**(1\/17)*r)\/r))**(1\/6) assuming r is positive.\nAnswer: r**(-1\/102)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/3, -0.1, 9, 0 in decreasing order.\nAnswer: 9, 1\/3, 0, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 44053408 is divided by 240729?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -3\/2, 2861, -0.8?\nAnswer: 2861","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4*((-9)\/(-6))\/3*(-44)\/(24200\/175)?\nAnswer: -7\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4\/3 in -3\/4, -2\/3, -5, 2\/13, -6\/11, 38?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 15375, 15367, 15359, 15351, 15343?\n\"Answer: -8*z + 15383","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -149\/84031752 and -9\/35888?\nAnswer: 168063504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 12405553.95 + 0.3?\nAnswer: 12405554.25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.00286 + 0.5.\nAnswer: 0.50286","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -35.1, 0.4, 12\/13?\nAnswer: -35.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -84 by 84.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 89446240?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -8764153 at most as big as -35056615\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 11, k: 4, w: 4}. What is prob of picking 4 w?\nAnswer: 1\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 182666503 to the nearest integer?\nAnswer: 567","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1 (b) 8012 (c) 1\/9 (d) 0.5 (e) 2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-4*(1 + 0))\/(-2). Suppose -3*v + 4*b + 52 = 0, -b - 3 + d = 0. Calculate the remainder when v is divided by 10.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 45182 to the nearest integer?\nAnswer: 213","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 14.71 in -2, 29, -0.1?\nAnswer: 29","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 2, b: 3}. Give prob of picking 2 b.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c = 2*s - 14, -4*c + s + 12 = 2*s. Let u(a) = 132*a + 0*a**2 + 2*a**c - 132*a. Let b(i) = -5*i. Give u(b(l)).\nAnswer: 50*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1667*a*i*l**3 + 10*a*i*l**2 + 1725*a*i*l + 2*a*i + 38*a - 3*i*l - 24*l**3 wrt l.\nAnswer: -10002*a*i*l + 20*a*i - 144*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) be the first derivative of -m**3 + 52. Let a(c) = -34*c. What is a(r(d))?\nAnswer: 102*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 9369\/19060?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1209345799 to the power of 1\/8, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 times 0.02\nAnswer: 0.008","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 145 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 3, d: 1, n: 11}. Give prob of sequence ndq.\nAnswer: 11\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0 + 4. Let o = 10 + m. Suppose 0 = -s + 5*h + 14, 2*s - o = -3*s - 3*h. Solve b - 3*b - 6 = -s*p, b + 6 = 5*p for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1089 + 1092.042. Let p = 0.042 - t. What is the nearest to p in 0, 1\/6, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12 - -12 - (8 - 2)) + -9 + -1.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 36 a factor of 75597?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1933? (a) 4 (b) 5 (c) -4 (d) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 1127*h - 25. What is w(0)?\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 518478?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = -2*b - 7*w + 55, -w = -3. Let l be (-184)\/(-10) - 8\/b. Suppose 2*h - h = 2. Calculate the highest common factor of l and h.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -6933*f**3*p**2 - 3*f**3*p - 15*f**2 + 395660*f*p**2 - 3*f*p wrt f?\nAnswer: -41598*f*p**2 - 18*f*p - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) be the third derivative of -4*p**2 + 0*p**6 + 0*p**4 + 0*p**5 - 1\/70*p**7 + 0 - 1\/2*p**3 + 0*p. Differentiate c(j) wrt j.\nAnswer: -12*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j**4 + 14217*j**3 - 71106*j**2 + 56888*j = 0. What is j?\nAnswer: -14222, 0, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -232*x - 7. Let p(r) = 324*r + 11. Let j(u) = 7*h(u) + 5*p(u). Let i be (1 - -7) + 0 - 0. Give j(i).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2560) + -1*sqrt(2560) - -3*sqrt(360))\/((-5*1*sqrt(72))\/(5*(sqrt(27)\/sqrt(3) + sqrt(9)))).\nAnswer: -18*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -2416 divided by 604?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2033161.998976 + 2033081. Let t = -81 - i. Round t to 4 decimal places.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1992844, 3985774, 5978690, 7971586, 9964456, 11957294, 13950094, 15942850?\nAnswer: 17935556","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*t + 55*t + 70*t - 32*t.\nAnswer: 103*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Determine p, given that 2*p**5\/5 + 12*p**4\/5 - 214*p**3\/5 - 1632*p**2\/5 - 1408*p\/5 = 0.\nAnswer: -8, -1, 0, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1061578779?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 792055.\nAnswer: 5, 11, 14401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -21 or -58605?\nAnswer: -58605","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 46*r - 59. Let b be u(20). Let w = 1496 - b. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = f - 2. Let p be (-93)\/465 - (-22)\/10. Let s(j) = -j**2 + 2*j - 4. Let l be (10 + -8)*(-10)\/4. Calculate l*w(x) + p*s(x).\nAnswer: -2*x**2 - x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 160 and 10060?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1 - -1. Let u = -7 - -6.5. Let l = u - n. Sort 0.3, l, -0.1 in decreasing order.\nAnswer: 0.3, -0.1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 707519874*v**3 - 219*v**2 - 1185696 wrt v?\nAnswer: 4245119244","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1*(-1)\/2*-6. Suppose -9 = -5*k - 4*m, -4*k + 4*m + 32 + 4 = 0. Suppose -4*a - w + 4 = -k*a, 0 = -4*a + h*w - 17. Let y(j) = -j + 2. Give y(a).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -48667 - -72949. What is the tens digit of a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 62469850?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -315 + 317. Which is greater: f or -2.6?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*o + 2*o + 15 = 0. Suppose -o*n = -2*x - x - 30, 3*n - 24 = 5*x. What are the prime factors of n?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -3*u - 2. Suppose 2*n + 1 + 7 = 2*k, 8 = 5*k + n. Solve -3*f + 12 = u*m, 4*f - 9 - 5 = -k*m for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -9280, -18559, -27838, -37117, -46396?\nAnswer: -55675","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 18, 0.5, 0.6, -2, 4, -8.4 in increasing order.\nAnswer: -8.4, -2, 0.5, 0.6, 4, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -q**3 + 59*q**2 + 4*q - 240. Give x(59).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of f**5 + 3*f**4 + 59797*f**3 - 61188*f**2 + 2*f wrt f.\nAnswer: 60*f**2 + 72*f + 358782","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - t = 33, -3*v + 2*t + 49 = t. Calculate the highest common divisor of v and 2096.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 103\/24 and 29\/42.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*r + 3*r - 4*r)*(2 - 2 + 5)*(7 - 1 - 1) in the form i + x*r and give x.\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -1, 126, -2, -4 in decreasing order.\nAnswer: 126, -1, -2, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -649*q**2 + 333*q**2 + 333*q**2. Let n(x) = 2 + 2*x - 2. Calculate p(n(t)).\nAnswer: 68*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 113045 or 113051?\nAnswer: 113045","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00199687195 rounded to 6 dps?\nAnswer: 0.001997","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 373412096 to the power of 1\/8, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = s**3 - 21*s**2 + 49*s - 198. What is t(19)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 9*b + 11. Let w(j) = 3*j + 4. Determine 3*g(a) - 8*w(a).\nAnswer: 3*a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t = -3*t + 10. Let y = t + 0. Solve 5*f = 3*f + 3*x + 22, -14 = -y*f + x for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 12, 16146, 1, 2, -3 in decreasing order.\nAnswer: 16146, 12, 2, 1, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-10)\/(-40) - 54\/24. What is the nearest to -2 in j, 5, -0.02?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 62336 equal to 62336?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.2 + -0.1. Which is greater: 18 or x?\nAnswer: 18","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 12 and (18 + -25)*(4\/(-14))\/2.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -477 - 957*g + 12153*g - 1981*g - 3680*g wrt g?\nAnswer: 5535","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38 = -2*i + 21*i. Suppose -i*v + 154 + 516 = 0. What is the tens digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2042*a + 13944 = -216*a - 664 for a.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3384916 is divided by 5806?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2.24 - -1.8. Let p = 0.04 + x. Let q = p - -0.5. What is q rounded to zero dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -52\/135 and -1 + (10 - 11 - -1366*4\/3360).\nAnswer: 3780","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1216, -0.69, 0, 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -67*x + 2 - 65*x + 133*x. Let h(u) = 2*u + 11. Let l be h(-8). Give s(l).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 > 38344?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 43553928 divided by 31768.\nAnswer: 1371","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 17236413?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 32 + -30. Let t be d\/(-4 - (-22)\/5). Solve 5*p + 19 = 5*j - 31, t*p + 10 = -3*j for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-24)\/27 + (-2)\/18 + 1. Let k(b) be the third derivative of 0 + 1\/16*b**4 + g*b - 1\/24*b**3 - 1\/48*b**5 - 2*b**2. Suppose k(t) = 0. What is t?\nAnswer: 1\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 26\/56 - (-6)\/(-8). Which is the biggest value? (a) 0.4 (b) n (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 122 + -125. Let m = -0.2 - 0.8. What is the closest to m in 3, u, -4?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(85)\/sqrt(5) + 0 + sqrt(153) + 2.\nAnswer: 2 + 4*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 3*j - 18 - 8 - 42 + 5. Let k be t(21). Suppose -227 = -k*r - r - 2*q, -q = 4*r - 887. List the prime factors of r.\nAnswer: 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 260509 to the power of 1\/3, to the nearest integer?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 + -4 + 6 + (-2 - 3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -r**3 - 6*r**2 - 6*r - 1. Let h be c(-5). Suppose -h*a - 14 + 2 = 0. Let y(f) = 2*f**2 + 2*f - 2. Is 2 a factor of y(a)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 4*b - 11 = 0, -b + 455 = 5*o + 400. Solve m - 12*m - o = 0 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.41999 to 1 decimal place.\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) be the second derivative of 1993*f**5\/20 + 5*f**4\/12 + 35*f**3\/6 + 1443*f. What is the third derivative of o(h) wrt h?\nAnswer: 11958","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7415*h**3 + 17276*h - 17278*h + 2452*h**3.\nAnswer: -4963*h**3 - 2*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -4*z**2 - 32*z. Let j(k) = 10*k**2 + 65*k. What is 3*j(v) + 7*q(v)?\nAnswer: 2*v**2 - 29*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 2576*z + 207. Let t(f) = 25*f + 2. Calculate -2*n(w) + 207*t(w).\nAnswer: 23*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31 = 3*v - 4*k + 18 - 5, 4*v - 37*k + 76 + 236 = 0 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 107\/8910 and 17\/1270?\nAnswer: 1131570","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -9 - -9.11. Let l = -0.322 + 0.082. Let f = l + y. Round f to 1 dp.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -207 = -3*n + 24*d, -105*d + 109*d = -32 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) be the first derivative of i**4\/4 + 4*i**3\/3 + i**2 + 2*i - 14. Let w be 2 - 1 - (7 + -3). What are the prime factors of q(w)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 39? (a) 2.47 (b) -2\/21 (c) -2 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 38 in 2, -2, -0.05?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -40a7 (base 15) to base 12\nAnswer: -7aa1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -10*t**5 - 61887*t**4 + 2700513*t**2 + 1 wrt t.\nAnswer: -600*t**2 - 1485288*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ys when two letters picked without replacement from {s: 9, r: 2, y: 2}?\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 38105.8 + -38125. Which is the nearest to -0.4? (a) t (b) -4 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at most -2\/12127?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t - 2*n = 4, -2*t + 0*t - 3*n - 14 = 0 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1135 - 2135. What is g rounded to the nearest one thousand?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -365*i**3 + 3*i + 3. List the prime factors of m(-1).\nAnswer: 5, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*d - 0 + 9. Let r = -2 + 1. What is the closest to -1 in d, r, 2?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11 - (1 + 9 + (8 - 14))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ngxpnengxxr. Give prob of picking 2 x and 1 r.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-g - 4*g - 3*g)*(0*g + 3*g - g)*(-5*g + 0*g + 3*g).\nAnswer: 32*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 111325 and 129625.\nAnswer: 1525","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 265, 254, 243, 232?\n\"Answer: -11*u + 276","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k - 70 = -2*j, j - 11 = -2*k - 2*k. Is j a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 149551939 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = z**2 + 3*z + 5. Let d be ((-6)\/(-5))\/((-2)\/(-5)). Let m(i) = -i - 1. Let y be m(d). Is 7 a factor of p(y)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) be the first derivative of 8*j**3\/3 + j**2\/2 + j + 3. List the prime factors of x(-1).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 947445?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*k**5 + 118*k**4 - 34*k**3 + 220527*k**2 wrt k?\nAnswer: 120*k**2 + 2832*k - 204","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12946*y + 9 = -g + 12945*y - 0, -4*g = 10*y + 60 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of ((-8)\/(-5))\/((-1)\/30*-1) and 12.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -8180*(638\/132 - 2\/(-12)). What is z rounded to the nearest ten thousand?\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -56*t + 17086 + 30794. What is t rounded to the nearest one hundred?\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 35 divide 1396?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -48*l**3 + 529420*l - 1022589593.\nAnswer: -144*l**2 + 529420","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -12 + 13 + 10 - 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 5\/11, -3, 0.3 in increasing order.\nAnswer: -3, 0.3, 5\/11, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (sqrt(3) + (sqrt(36)\/(sqrt(48)\/sqrt(4)) - sqrt(3)))*4 + -1*sqrt(243) + sqrt(6)\/(sqrt(2) - sqrt(2)*2).\nAnswer: -6*sqrt(3) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -884*o - 188. List the prime factors of k(-12).\nAnswer: 2, 5, 521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -7 - -7.1. Let m = -0.4 - 1.6. Suppose -4*n + 5*k = 44, 2*k - 3062 = n - 3045. Which is the closest to m? (a) o (b) 4 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t**(-2)*t*t)\/t)**(-1\/6) assuming t is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1d25 (base 16) to base 11.\nAnswer: 5673","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 28\/3 of a year?\nAnswer: 112","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*m - m + 0*m)*(-4 + 4 + 2*m**2) - 2 + 2 - m**3 - 2*m**3 + 2*m - 2*m + (4*m**2 - m**2 + m**2)*(-32*m - 4*m + 0*m).\nAnswer: -145*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/5 - (-1272)\/265.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 193*m - 196*m + 321. What are the prime factors of m?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((b*b\/(b*b**(-6\/13)*b))\/b)\/(b*b**(2\/11)))**42)**(-6) assuming b is positive.\nAnswer: b**(61992\/143)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 5560*-2\nAnswer: -11120","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 21317270 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22764 - 22166 - 2*g**2 + 44930.\nAnswer: -2*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 618 (base 16) to base 7.\nAnswer: 4356","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4.7 + -5. Suppose -f + 3 + 12 = -4*d, -2*d = 2*f + 20. Let g be 0 + (1 - d\/(-6)). Which is the third smallest value? (a) n (b) g (c) -3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*l - 87 - 168. Let g = l + -41. Solve -c = 3*c + 4*y + 20, 2*c + 5*y = -g for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ht when two letters picked without replacement from {h: 1, l: 1, s: 2, t: 5, n: 3}.\nAnswer: 5\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*y + 3*y + 13*y)*(-1 + 6 - 1) - 2*y + y + 5*y to z*y + k and give z.\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 50 = -2. Let p = f + 84. Suppose -p = 5*c - 8*c. What is the tens digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -g**3 - 15*g**2 + 20*g + 68. Let i be y(-16). Suppose -5*n - 3*q + 5*q = -1843, 4*n + i*q - 1452 = 0. What is the hundreds digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) be the first derivative of -2\/39*d**3 + 2\/13*d**2 - 2\/13*d**4 + 6\/65*d**5 + 2 + 0*d. Determine u, given that m(u) = 0.\nAnswer: -2\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 75366 and 1431?\nAnswer: 477","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:25 AM and 6:04 AM?\nAnswer: 39","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*n = -2*r - 5*n - 1, 4*n = -r + 22 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 140*a. Let o(k) = 27423*k. Determine o(y(q)).\nAnswer: 3839220*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 8\/13 (b) 2 (c) 5 (d) -2\/19\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5468720.999955 + 5468847. Let z = d + -126. What is z rounded to 5 dps?\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 3174026883334 and -0.2.\nAnswer: 3174026883333.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.081 in -0.03, -0.05, -0.5, 3, -18585?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.074976 rounded to two decimal places?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1059\/(-27) + (-8)\/(-36). Let x = -19 - w. Does 7 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 121548 and 9816.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -388229933 by 13.\nAnswer: -29863841","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 31*h**2 - h + 1. Let r be l(1). Let a = -1 + r. What is the remainder when a is divided by 11?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 423977 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -o*p**4 - o*p**3 - 2625955*o*p**2 + 787*o*p + 470*p - 7 wrt p?\nAnswer: -12*o*p**2 - 6*o*p - 5251910*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -268276 divided by -2854\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 + 7 - -5 - 5 - ((-50 - 1) + 13).\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 6\/5 of a tonne?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2.9 (b) 1\/10 (c) -1\/2 (d) -2 (e) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + v + 0 = 1, -a = 5*v - 5. Solve a = 4*h + 2 + 2 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x - 16 = r, -36 = 2*r - 207*x + 202*x for r.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000004690049918 rounded to seven dps?\nAnswer: 0.0000047","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -411, -132, 231 in descending order.\nAnswer: 231, -4, -132, -411","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 2, b: 1, o: 2, a: 1}. Give prob of sequence ubao.\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -w. Let k(l) = 233*l. Calculate k(m(r)).\nAnswer: -233*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -32 (b) -1\/2 (c) -1 (d) 0.5 (e) 2\/13 (f) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x - 3 = b, -x + 7 - 29 = -4*b. Calculate the highest common factor of b and 20.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18466978517 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.94 + -27.94. Let h = -27.2 - f. What is the second biggest value in h, -4, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-12)\/(-16))\/(3\/(-2)*(-27)\/(-162)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 763 - 658. Calculate the highest common factor of 30 and g.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*p + 4*p + p**4 - p**3 - 46*p**4 in the form v*p**3 + l*p**2 + k*p**4 + f + n*p and give v.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 135 minutes after 5:02 PM?\nAnswer: 7:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -109 + -4 + (-4 + -1 - -4) + 6 - 2\nAnswer: -110","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*a + a**2 + 0*a)*(-a - a + a) - 4373*a**2 - 61*a**3 + 4373*a**2 as h*a + y*a**2 + p*a**3 + o and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 6, m: 2, f: 4}. Give prob of sequence fpm.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 52, 0.4, 4, 2\/3, -0.49?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -16101*q**3*u**2 + 8*q**3 + 1207*q**2*u**2 - 2*q**2*u - q**2 - 6*q*u**2 + 2*q*u wrt q.\nAnswer: -96606*u**2 + 48","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c - 716 = 357*c for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express -2568*v**2 + 1349*v**2 + 0 - 1 + 1614*v**2 as j*v**2 + y*v + q and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:57 PM and 11:13 PM?\nAnswer: 376","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) be the third derivative of a**4\/6 + 2*a**3\/3 - 9*a**2. Let v(p) = 0*p - 1 + 3*p - 4*p. Suppose -7 = 2*d + 5. What is d*v(x) - g(x)?\nAnswer: 2*x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 82 minutes before 10:54 AM?\nAnswer: 9:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = p**3 + 7*p**2 + 4*p - 5. Let c be 7\/(-2) - 3\/6. Suppose -182 = -4*s - 5*l, -5*s + 44 = 4*l - 197. Calculate the remainder when s is divided by a(c).\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*g - 5*z + 78 = -5*g, 5*g + 5*z = 120. Suppose g - 16 = f. Solve -4*o + 0*p - 16 = 2*p, o + f = -p for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 14953018 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4b506 (base 14) to base 10.\nAnswer: 184834","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -54, -28, -2, 24?\nAnswer: 50","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(63) + sqrt(7))*-1 + 1.\nAnswer: -4*sqrt(7) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (28\/(-240)*4)\/(105\/(-50)).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -13 - -31. Let x = z + -23.4. What is x rounded to the nearest integer?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 205 - 197. Let v(b) = b**3 - 4*b - 71. Let q be v(0). Let f = -67 - q. What is the smallest common multiple of d and f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*p = s - 4*s + 75, 5*s + 120*p + 35 = -144*p + 265*p for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 318?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -108202, -216393, -324586, -432781, -540978?\n\"Answer: -t**2 - 108188*t - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + -3 + 0 + sqrt(847) + (sqrt(847) - ((sqrt(847) - (1 + sqrt(847) + sqrt(847))) + sqrt(847)))**2.\nAnswer: 33*sqrt(7) + 846","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) be the first derivative of -405\/2*o**2 - 105*o**3 - o**5 + 0*o - 113 + 85\/4*o**4. Factor q(y).\nAnswer: -5*y*(y - 9)**2*(y + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) be the first derivative of 49*h**4\/4 + h**3\/3 - h**2\/2 + 4*h - 5. Let b be d(2). Suppose b + 579 = w. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 28052 + -19497. What are the prime factors of u?\nAnswer: 5, 29, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -0.66 (b) -32 (c) -0.5 (d) -1\/7 (e) 0 (f) 3\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xoog when four letters picked without replacement from jroxrjg.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2465263?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 265549 and 222?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = a**3 - 72*a**2 - 133*a - 67. Let g(j) = -24*j**2 - 44*j - 22. Let u(v) = -14*g(v) + 4*q(v). Determine r so that u(r) = 0.\nAnswer: -10, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -1*1*(-64)\/(-864) + 0. Are q and 0 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 38 - 41. Let v be 9 + -11 + (y - -4 - -2). Is v != -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -4 (b) 6 (c) 0.3 (d) 1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*i + 4*w + 384 - 468 = 0, 3*i - 9*w = -153 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2 (b) -1\/5 (c) 5 (d) 10 (e) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(891) + 0)**2*3*-5.\nAnswer: -13365","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1 - -1\/2. Let v = 2245\/8 - 281. Which is the third smallest value? (a) k (b) -1 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 296.92146ns in minutes?\nAnswer: 0.000000004948691","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -117 (base 8) in base 16?\nAnswer: -4f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -14 - (10 + -3 + -41) - (2 - -12).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -3*s - 15. Let i = 79 - 86. Let z be n(i). Suppose v + z*v = -112. Which is the smallest value? (a) -4\/7 (b) v (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 59*d**2 - 6*d + 15. Let h(m) = -178*m**2 + 19*m - 46. Let c(z) = 2*h(z) + 7*o(z). Is c(6) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -3*w - w, 2*z - 6 = 5*w. Let p be 0 + 0 + (-3 - z). Let h be ((-6)\/(-4))\/((-3)\/4) - 0. Put h, p, -3 in descending order.\nAnswer: p, h, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*w - 13*w - 33. Let j(a) = -245*a**2 - 2*a + 23. Let q be j(w). What is q rounded to the nearest 10000?\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1732.\nAnswer: 2, 433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 + 1 - 4 + 20*l - 2.\nAnswer: 20*l - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 4*u**2. Suppose -3*l - 16 = -2*n, 2*l - 3*n + 1 + 8 = 0. Let c = 8 + l. Let j(k) = k**2 - 2*k**c + 2*k**2. What is v(j(f))?\nAnswer: 4*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 5*r**2 - 11*r + 11. Let v be f(1). Suppose v*w - 58 = -3*j + 139, -j = -3*w - 75. Solve a - 66 + j = 0 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 1 - 5*y + 3*y - 2 - 4. What is the units digit of g(-5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*j**3 + 2 - 1 - 11*j**3 + 74*j.\nAnswer: -9*j**3 + 74*j + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1069 + 8583\/8. Calculate the common denominator of y and 198*((-14)\/16 + 1).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 81\/2 of a day?\nAnswer: 58320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 6*o**3 - o**2 + o + 2. Suppose 3*y = 6*y + 3. Let b be v(y). What is the tens digit of ((-10)\/b)\/((-12)\/(-864))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 15 - 15 = 0. Let w = -3 + t. Let r(u) = -u**3 - 7*u**2 + 9*u + 10. Let v be r(-8). Does v = w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -107\/21 <= -6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 4\/17, -2, -1\/10, 3, 10, 2, -6?\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1338308 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 820\/3 - 2\/3*m**3 - 994\/3*m + 176\/3*m**2 = 0.\nAnswer: 1, 5, 82","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 4) in base 12?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -32 + 32. Let b(y) = -y. Let p be b(1). Put p, 3, h in ascending order.\nAnswer: p, h, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p**5\/7 + 1326*p**4\/7 - 9134*p**3 - 441246*p**2\/7 + 71980*p = 0 for p.\nAnswer: -7, 0, 1, 59, 610","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 92*h - 94*h = 4 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 2, k: 1, o: 2, d: 1, x: 1, l: 2}. Give prob of sequence oe.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1072579 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 887 - 3622.\nAnswer: -2735","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -4185178, -4185179, -4185180?\n\"Answer: -s - 4185177","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:35 PM and 8:05 PM?\nAnswer: 270","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -3*m + m. Let o(y) = -2*y - 1. Let j(q) = -6*q - 2. Let l(i) = m*o(i) - 3*j(i). Let z = -10 - -7. Give l(z).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -17*x**2 - 308*x - 910. Determine t(-15).\nAnswer: -115","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 523870?\nAnswer: 2, 5, 52387","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - 8 = -4*d. Let o(v) = 2*v**2 - 6*v + 3. Let s be o(d). Which is greater: 12 or s?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 6 + 7?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 74568831\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v**(-4\/3))\/((v**5\/v)\/v)*v**(4\/3)\/v**3 assuming v is positive.\nAnswer: v**(-5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 40*l - 298. Let a(o) = -2*o**2 + 120*o - 893. Let b(h) = -2*a(h) + 7*p(h). Factor b(m).\nAnswer: 4*(m - 5)*(m + 15)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -801, -798, -795, -792, -789?\nAnswer: -786","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.4 - 0.1. Let m be 3\/(3\/914)*(-21)\/(-126). Let r = 152 - m. Sort 1, p, r in descending order.\nAnswer: 1, r, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-1)\/(j\/j**(2\/3)))\/(j**(2\/3))**(-2\/5) assuming j is positive.\nAnswer: j**(-16\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 t when three letters picked without replacement from {i: 1, t: 7}.\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 3*n**3 + 57*n + 55. Give d(-1).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2.2417455 or 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 less than or equal to -1\/50724?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 37651873?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -179, 9380, -3?\nAnswer: -179","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -27*a**4 + 13*a**3 - a**2 + 651?\nAnswer: -108*a**3 + 39*a**2 - 2*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1, 554, -4?\nAnswer: 554","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -2*c - 5. What is m(-8)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -31*j**2. Let s(k) = -14*k. What is f(s(x))?\nAnswer: -6076*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-11)\/(-1) - (-16 + 22). Suppose -s + h = x, -8*s + 4*s = x - 8. Solve -g + 0 = x for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 727634 a multiple of 184?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 38856*r**3 - r**2 - 114*r + 339. Let u be j(3). What is u rounded to the nearest one hundred thousand?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 29504.84 millennia in centuries?\nAnswer: 295048.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -544778*d**4 + 6*d**3 - 43*d**2 + 167*d - 23 wrt d.\nAnswer: -13074672*d + 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1518329703 to the nearest integer?\nAnswer: 1149","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 637859?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.08 + 1.08. Let m be -4*6\/(-156) - (-25)\/91. Which is the closest to 3? (a) 3 (b) d (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 0, 3, 0.4, 1\/779, 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.07 + -4247712512.6.\nAnswer: -4247712512.67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -1685.5133 to the nearest one hundred.\nAnswer: -1700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 23 - 1412053?\nAnswer: -1412030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -b. Let n(l) = 55*l + 9. Determine f(n(o)).\nAnswer: -55*o - 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 575\/(-345)*18\/15\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = t - 39 + 73. Let k = 36 + t. Let x be 4 + 28\/(-8) + k\/(-4). Solve 3*y - 6*y - 12 = x for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 295 + -127. Suppose 0 = 72*g - 75*g + j. Let o(a) = 6*a + 20. Let d be o(-1). What is the greatest common divisor of d and g?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -24*p**2 - 18*p - 3. Suppose 7*t - 100 = -72. Let k(a) = -a**3 + 25*a**2 + 18*a + 4. Let h(g) = t*s(g) + 3*k(g). Determine x so that h(x) = 0.\nAnswer: -6, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (1\/(-2))\/(1\/152). Suppose -73*z - 1863 = -90*z - 146. Let n = z + t. Is 5 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (sqrt(68) + -3 - (-1 + sqrt(34)\/sqrt(2))) - (4 + sqrt(17) + -1 + sqrt(1088)*-1 + sqrt(17)))**2.\nAnswer: -14*sqrt(17) + 834","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 110090396 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 19\/4 of a day?\nAnswer: 114","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -2*g**2 - 14*g + 89. Let x be y(-11). Let f be (16\/10)\/(x - 16\/20). Solve -f - 3 = 11*v for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 4*k**2 - 9. Let r(m) be the third derivative of -2*m**5\/15 + 3*m**3 - 35*m**2 + 16*m. Determine 13*n(v) + 6*r(v).\nAnswer: 4*v**2 - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/((-10)\/((-100)\/(-165))).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) be the second derivative of m**4\/12 - m**3\/3 + 3*m**2\/2 + 4*m. Suppose -6*d + 2*d + 20 = 0. Let o = d - 2. What is w(o)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-10)\/(-15)*(-3)\/7)\/1.\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -6219.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -12858 - -12870. What is the least common multiple of 57402 and k?\nAnswer: 114804","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 80\/(-24)*6\/(-55) and -21\/11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 458 + -230. Let w = -225 + a. Solve 4*o - o = -w*r - 3, 2*r = 2*o - 10 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -1 (b) 0.2745 (c) 2\/3 (d) -1\/5 (e) 3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 289 minutes before 9:22 AM?\nAnswer: 4:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14280\/(-120540) - 3\/123?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -8 + 20. Suppose 4*a + 2 = q - 11, 30 = 4*q - 5*a. Solve -3*t - h = -w, -5*t + 2*h - q*h + 24 = 0 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 6 * 4835.\nAnswer: 29010","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3515615?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 2430194 to the power of 1\/6, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 21101210211212 (base 3) in base 8?\nAnswer: 17001253","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:40 AM and 2:28 PM?\nAnswer: 468","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.004083 to four dps.\nAnswer: 0.0041","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(396)*-2)**2*-2.\nAnswer: -3168","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 405 = 2*b - 299, -3*b = -2*n + 1394. Suppose -6*g + n = 5*h - 4*g, 2*h = -g + 281. Does 17 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -141604 + 247355. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2142\/1428*1*8*9\/(-12)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(114)*2)\/((sqrt(126)\/sqrt(3))\/sqrt(7)) - (3*(sqrt(19) + -1) + (sqrt(19) - (sqrt(95)\/sqrt(45) - sqrt(19)))**2).\nAnswer: -448\/9 - 7*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 7*a + 11. Let p(l) = -37 + 116 + 3*l - 37 - 36. Give -4*m(k) + 7*p(k).\nAnswer: -7*k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-99)\/(-18) + -5)\/(1\/44). Solve -d + 19 = 5*r, -3*d + q = 2*r + 4 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 98609.33t in grams?\nAnswer: 98609330000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s, 2 z, and 1 f when four letters picked without replacement from {z: 4, f: 1, s: 2}?\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 170 - 169. List the prime factors of (r - -6) + -3 - -313.\nAnswer: 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -8*b**4 - 8*b**3 - 6*b**2 + 36*b - 24. Let f(l) = -17*l**4 - 16*l**3 - 14*l**2 + 72*l - 52. Let q(u) = 6*f(u) - 13*s(u). Solve q(d) = 0 for d.\nAnswer: -3, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 2*c - 19. Let j be l(6). Let k be (-16)\/j - (-6)\/(-21). Factor -n**2 + 4*n**k - n**3 - 4 + 0.\nAnswer: -(n - 2)**2*(n + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -957*g*p - 25*g + 10730*p + 193612 wrt p?\nAnswer: -957*g + 10730","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 4 (b) -0.13 (c) -25\/84\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -2*n**2. Suppose -4*c + 20 = -4. Let p be (-6)\/45*-5*c. Let s(a) = 4 + 2*a - p + 0*a. Determine g(s(j)).\nAnswer: -8*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3602*c + 3597*c = -4*l + 402, -20 = 2*c. Let k(m) = -7*m + 3. Let t be k(-3). Calculate the highest common divisor of t and l.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -c**2 + 6*c - 6. Let i = 12 - 8. What is the remainder when k(i) is divided by (-3)\/(-5) - 2\/(-5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k - t = -15, -7*k + 5*k + 5*t - 9 = 0. Suppose 2*i = -3*x + 188, -k*x = -3*i - 160 - 8. Calculate the remainder when 236 is divided by x.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*c + 1 - c - 1.\nAnswer: c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 54 + -81. Let o be (-8)\/90 + 0 + (-6)\/x. Let u = -421\/2 - -210. Which is the closest to 2\/3? (a) u (b) 4 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -5*j**2 + 36*j + 33. Let a be q(8). Put 2, -153, a, 5 in decreasing order.\nAnswer: 5, 2, a, -153","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 0 + 7)*(-12*c**2 - 2*c**2 + 17*c**2)*(-2 - 4 + 1) to q*c**2 + g*c + i and give q.\nAnswer: -105","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -11b2d + 5?\nAnswer: -11b28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x = a - 22, 85 = 5*a + 7*x - 12*x for a.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = -5*v - r, -v + 2*r = 6 + 8. Let k be (2\/(-4))\/((-3)\/18). Let n be -1 + (-4)\/(-2) + -6. Put n, v, k in increasing order.\nAnswer: n, v, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -55 + 62. List the prime factors of x.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 9) in base 13?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -3*m + 5. Let q(u) = -10*u + 17. Calculate -7*f(p) + 2*q(p).\nAnswer: p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -2 + 5 - -1 - 70\/18\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9 - 12 + 3 - 101*j.\nAnswer: -101*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -55*x + 3*b + 213 = 6*b, -x + 3*b = -8*x + 12*x + 33 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*k + 2*k - 1504*k**2 + 1471*k**2 - k as c + m*k**2 + s*k and give m.\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + 132 + 142 = -5*g, 0 = -4*g + 4. Let s = -50 - q. What is the units digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3195 - 564 = m. Suppose -3939 = -5*o - z, 5*z - 3208 + 849 = -3*o. Let r = o + m. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -8668179*d**2 + 688344 wrt d.\nAnswer: -17336358*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28*u + 62*u + 3*s + 9 = 31*u, 10 = -5*u - 4*s for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*r - 4*r + 5*r)*(0*r + 5*r - 3*r)*(-35*r - 565*r - 615*r) as z + c*r**2 + u*r + h*r**3 and give h.\nAnswer: 4860","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z = -5*r - 0*z + 103999937, 103999934 = 5*r - 3*z. Suppose -4*n + r = -3*b, -2*n + 3*b + 2*b + 10399975 = 0. Round n to the nearest 1000000.\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -f + 5. Let w be p(6). Let o be 2 + w + (2 - 24). Let l be (-57)\/o + (-6)\/2. What is the biggest value in 2, -1, l?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2010 divided by 699?\nAnswer: -670\/233","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 3060397 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/(-8)*24*(-15)\/(-675).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:12 AM and 2:00 AM?\nAnswer: 48","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 15388584391 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:26 AM and 7:11 PM?\nAnswer: 525","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 149580754?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 9 + -15. Let o = -3 - k. Suppose 6 = 3*j + o. Let m(u) = -u**2 - 2*u + 1. Determine m(j).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 416 minutes after 6:44 AM?\nAnswer: 1:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -251.74 + 251.74. What is the nearest to -206 in -4, 3, q?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4507*k**2 - 10*k + 10*k + 4492*k**2.\nAnswer: -15*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 100039 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -261 - -21204?\nAnswer: 20613","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or 140\/2543?\nAnswer: 140\/2543","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -19\/205740 and -101\/1890?\nAnswer: 1440180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*t**2 + 576804280*t + 16635158871315920 = 0 for t.\nAnswer: -57680428","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:30 PM and 11:34 PM?\nAnswer: 184","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -o. Let n be (-6)\/(3 + -2) + 2. Let k be g(n). Suppose -8 - k = -2*y. What is the units digit of y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 73, 75, 77, 79?\nAnswer: 81","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ivu when three letters picked without replacement from sqiqvnqnququqq?\nAnswer: 1\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 64*a**2 - 3*a + 5. Let z(g) = -32*g**2 - 5*g + 4. Let d(w) = 160*w**2 + 26*w - 21. Let k(x) = 6*d(x) + 31*z(x). What is -5*k(l) - 2*n(l)?\nAnswer: 32*l**2 + l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 10*b**4 - 2*b**3 + b - 4 - 15*b**4 - 3*b**2 + 5*b**2 + 3 to the form t*b**3 + g*b + n + o*b**4 + m*b**2 and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 357 = o, -i - 3*o + 6 = -97. Let h = 507 - i. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -168 + 247.5. Let k = 79 - w. Which is the smallest value? (a) k (b) -0.6 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 61*o**3 - 759*o**2 + 264*o**2 + 65*o**3 - 196*o**3 wrt o?\nAnswer: -420","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = n + 1. Let f(t) = -3*t + 10. Let b(x) = f(x) + 4*k(x). Let i be b(-11). List the prime factors of (-133)\/(-3) + 2\/i.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 346385 is divided by 2431.\nAnswer: 1183","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*u + 1063920 = 31*u + 16*u. What are the prime factors of u?\nAnswer: 2, 3, 5, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u, 1 t, and 1 d when three letters picked without replacement from {u: 1, t: 3, d: 1}?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 5015 and 425.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000081628856 rounded to six dps?\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5 - (3 - 2)) + 5.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 26392?\nAnswer: 2, 3299","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -150*f - 47. Let a(c) = 2*c**3 + 9*c**2 + 9*c + 3. Let u be a(-4). Is o(u) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -108*u**2 - 129*u**2 - 130*u**2 - 2*u + 500*u**2 + 14 - 134*u**2. Determine b(-4).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 32 - 63 + 28 + 3*b. Let w(u) = u**2 - 7*u + 8. Let i be w(6). Calculate f(i).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 864450 and 63393.\nAnswer: 9508950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ott when three letters picked without replacement from tjtjjjojjjjojjojooj?\nAnswer: 5\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 6*n = 12. Calculate the remainder when n is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -289*u - 108*u + 66650 = -103*u + 1039*u for u.\nAnswer: 50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k = 4*z - 2140, 5*z - 5*k = z + 2180. What is the hundreds digit of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three sevenths of a week in hours?\nAnswer: 72","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 46166779.\nAnswer: 41, 523, 2153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -551*b + 3632 = -1596 - 5552 - 1893 for b.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 4, 0.1, 5, 2.5, -11?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = z**2 + 1. Let y = -96 + 100. Let u(m) = -2*m**2 - 3. Determine y*n(h) + u(h).\nAnswer: 2*h**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20146 = -2*h + 2*o - 3*o, 4*h + 6*o = 40276. List the prime factors of h.\nAnswer: 5, 13, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 173.5 + -172.021. Let r = -85 - -83.64. Let n = r + w. What is n rounded to two decimal places?\nAnswer: 0.12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -40 in -4, 0.3, -5\/4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 62308 + -8274. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 2*r**2 + 15*r + 13. Let i be m(-13). Suppose -3*g = 7*s - 5*s - 62, -g = -2*s - 34. What is the greatest common factor of g and i?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let r = 35 - 33.6. Is r >= -0.2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1624950 a multiple of 75?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-5 + 5 + 2)*(-2*q**2 + 29*q**2 - 12*q**2) + 2 - 2 - 3*q**2)*(-21 + 2 - 7).\nAnswer: -702*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (6 - (40 + -10)) + -9 + (16 - 31)?\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 5 and 0.128?\nAnswer: 0.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -b**3 + 4*b**2 + 8*b - 7. Suppose -7*r - 4*r + 66 = 0. What is n(r)?\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 111234 or 111170?\nAnswer: 111234","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 75053481?\nAnswer: 3, 601, 41627","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Let w = 258 - 252. Which is the third biggest value? (a) w (b) -0.2 (c) 4 (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + 63 - 90 = 0. Let c(f) = 5*f - 41. Let b be c(l). Solve 9*k - b*k = -10 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -37.2 and -1051817.2266.\nAnswer: -1051854.4266","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 0 + 2)*(z - z + z) - 21*z - 20 + 20 + 3*z + 4 - 4.\nAnswer: -21*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 521367?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 11172 and 215076?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37969 + 163254 = -64*l + 1324453. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide (-700)\/(-90) - 4\/(-18)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -1946*v + 3808. Give w(2).\nAnswer: -84","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -a**2 + 3*a + 6. Let m be h(5). Let k(f) = -f**2 - 4*f + 3. Is 3 a factor of k(m)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 4 - 2 = 2*y, 3*a = 5*y + 15. Suppose a*i + i = 0. Let s(z) = -z + 33. List the prime factors of s(i).\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) be the second derivative of -3*n + 0 - 1\/15*n**6 + 0*n**2 + 0*n**5 - 1\/3*n**3 + 0*n**4. What is the second derivative of q(t) wrt t?\nAnswer: -24*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -299*h**3 + 3*h - 554. Let z(s) = s + 3. Let v(o) = -u(o) + 3*z(o). Differentiate v(r) with respect to r.\nAnswer: 897*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine v, given that -v**5\/4 + v**4\/2 + 3*v**3\/2 - 2*v**2 - 5*v\/4 + 3\/2 = 0.\nAnswer: -2, -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1.8012506 - -1.801. Round r to 4 dps.\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t + 32255 = 32245, -4*s - 39 = 2*t + 5*t for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 4, 386, -8, 1, 160?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Product of -59 and -10106.\nAnswer: 596254","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = w**3 - 13*w**2 + 12*w - 6. Let d be t(12). Suppose 13*m = 8*m - 65. Let o = m - -10. Which is smaller: o or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 2, -319, -5\/4?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 59691106?\nAnswer: 2, 29, 1029157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -63 greater than or equal to -8627\/140?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 7*l. Let m(a) = -4*a. Let r = 244 + -255. Let u(i) = r*m(i) - 6*x(i). Let h(n) be the third derivative of 14*n**5\/15 - n**2. Give u(h(q)).\nAnswer: 112*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 8\/35 and (516\/(-64))\/((9\/6)\/(-1)).\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 167 + 93*z**2 - 167.\nAnswer: 93*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13334 is divided by 2663.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*q + 32*q = 212. Calculate the remainder when q is divided by 18.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 235 - -112?\nAnswer: 347","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 16 and 486?\nAnswer: 3888","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 10, c: 10}. What is prob of sequence fff?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -260 - -224. Calculate the common denominator of (-6 - 642\/b)*-3 and -63\/4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve j - q + 5 = 0, -3*j - q + 5 = -0*q for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -687*r + 64 = -695*r for r.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1720819972.\nAnswer: 2, 430204993","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 728 and 1064.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1457873*h**3 - 2*h**2 + 6544*h - 18 wrt h.\nAnswer: -8747238","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 8*y**3 - 165*y**2 + 431*y - 7. Determine a(3).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2873222?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (51\/34)\/((-3)\/(-4))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = v**3 + 11*v**2 + 20*v + 100. Let r be t(-10). Let y be (-78)\/(-9) + (-2)\/(-6). Solve y*q - 63 + 18 = r for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor s**3 + 2736*s**2 - 167644*s + 324336.\nAnswer: (s - 58)*(s - 2)*(s + 2796)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = l. Let i(d) = -1. Let m(r) = r**3 + 3*r**2 - 12*r - 7. Let v be m(-5). Let f(p) = 7*p + 8. Let q(n) = v*f(n) + 24*i(n). Calculate q(b(o)).\nAnswer: 21*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -18*g**3 - 93*g**2 + 93399*g wrt g.\nAnswer: -108*g - 186","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(4\/11)\/c**(-2\/41))**41 assuming c is positive.\nAnswer: c**(186\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39 = 4*a + 2*y - 123, y = 0. Let t = a - 11. What is the tens digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 6 and 11973282?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 4*o - o - 35*o**2 - 3 + 37*o**2. Let d be j(-3). Suppose d*x = x + 300. What is the units digit of x?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -75*(-180)\/5625*(-6)\/4.\nAnswer: -18\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 142793150?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (2\/(-5))\/((-4)\/220). Suppose -26*d = -z*d - 336. Is 14 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -6199055 * -0.4.\nAnswer: 2479622","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 783 and 319.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = h. Let f = -6 + 4. Let b be k(f). Let j = 0.11 - 0.21. What is the nearest to j in b, -5, 3?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (4 - 4) + 10 - 15\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 37114 is divided by 80?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -28, 0 in ascending order.\nAnswer: -28, -4, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 87*b**4 - 3*b**3 + 6*b**2 - b + 15689 wrt b?\nAnswer: 1044*b**2 - 18*b + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xnf when three letters picked without replacement from qxfnxxxfnnxl.\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -680 - -869. Calculate the greatest common divisor of 147 and t.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -8.3689501 * 0.4.\nAnswer: -3.34758004","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z + 91 = 3*p, -5*p = 5*z - 175 + 70. Suppose -p = -3*q + 56. Suppose -q*b - 8 = -31*b. Calculate the greatest common divisor of 10 and b.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(180)*-1 + 0 + (4*sqrt(20)\/sqrt(4) - (sqrt(20) + sqrt(20)*-2)**2).\nAnswer: -20 - 2*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + 77 = 749. What are the prime factors of z?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2579\/21 + 835\/7. Let b = 1067\/3 - 341. Find the common denominator of z and b.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 28 times 2214\nAnswer: 61992","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-129)\/(-516))\/((-2)\/48) - 21\/(-3).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000008456501 rounded to 7 dps?\nAnswer: -0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 3405 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -74, -6, 3, 2, 194, 13 in descending order.\nAnswer: 194, 13, 3, 2, -6, -74","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -3*g, v = 4*v + 4*g + 4. Let n(p) be the third derivative of -11\/24*p**4 + 6*p**2 + v + 5\/3*p**3 + 0*p. Differentiate n(d) wrt d.\nAnswer: -11","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -32 + 3*l - 5 + 6.\nAnswer: 3*l - 31","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (sqrt(68)\/(sqrt(4) - (sqrt(4) - (sqrt(100) + sqrt(100)*-3))) - (1 + sqrt(612) - (1 + sqrt(272))**2)))*-5.\nAnswer: -1375 - 19*sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 16886627?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 46*b - 87. Let a be v(2). Solve r - j + 4 = -4*j, -a*r - 3 = -2*j for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-30 + 564\/18)\/((-4)\/(-6))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eedeeeeeeeeedeeeeeee. What is prob of picking 1 e and 1 d?\nAnswer: 18\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 264824978.\nAnswer: 2, 11, 47, 256117","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 13*k + 73 - 8 - 33*k + 0 in the form d + i*k and give i.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:16 PM and 9:06 PM?\nAnswer: 410","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.08 and -0.002?\nAnswer: 0.00016","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*n + 7*n + 1474380 = 22*n. What is the tens digit of n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2 and 94?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -16*y**3 - 3*y**2 - 6*y - 4. Determine f(-1).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/8 of a litre in millilitres?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 115 minutes before 4:16 AM?\nAnswer: 2:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 + -5 + 13 + -5.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -4, 3, -5, -0.1?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ubb when three letters picked without replacement from uguuguuuugubgubu.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -34*m**2 + 41 + 19*m**2 - 26*m**2.\nAnswer: -41*m**2 + 41","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 245307 less than 245307?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -249 and -0.4?\nAnswer: 248.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 336349?\nAnswer: 13, 25873","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -3126, -32777 in decreasing order.\nAnswer: 5, -3126, -32777","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 1 + 0 + (-1 + 2 + 3)*(4 - 1 - 2))*(-4*a + a + 2*a - 5 + 5 - 2*a + (-2 - 3 + 3)*(4 - 4 - 2*a) + a + a + 0*a).\nAnswer: 9*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -67\/3 - -21. Let w = -1 - -15. Let t = -12 + w. What is the nearest to -0.1 in -2, d, t?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tdt when three letters picked without replacement from {v: 2, d: 1, t: 12, p: 3, h: 1}?\nAnswer: 22\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -366747258 divided by 1421501?\nAnswer: -258","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 9 + 1 = 0. Suppose 1 = -k*r + 3. Suppose 6*l - 190 + 172 = 0. What is the nearest to 0.2 in l, r, 5?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -h + 7. Let f be z(0). Solve 5 = -3*c - f for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = d**2 + 58*d - 201. What is a(-60)?\nAnswer: -81","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 10) in base 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*k**3\/13 - 504*k**2\/13 - 510*k\/13 + 1012\/13.\nAnswer: 2*(k - 253)*(k - 1)*(k + 2)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -13.9 - 4. Let o = f - -0.9. Let n = -16.9925 - o. Round n to three dps.\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1.8 * 0.6\nAnswer: 1.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*p - 26*p**2 + p + 7*p + 206*p**2 - 9*p in the form s*p**2 + f + l*p and give l.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rb when two letters picked without replacement from {i: 1, b: 2, y: 1, r: 1, n: 2}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (0 - 4)*1\/(-2). Suppose g*y - 728 = -6*y. Suppose 3*v - y - 89 = 0. What are the prime factors of v?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 25*l**5 + 29*l**5 - 52*l**5 + 2 + (-4*l**4 + l**4 + l**4)*(l + 3*l - 6*l) + 8*l**5 - 15*l**5 + 14*l**5.\nAnswer: 13*l**5 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -358510, -1434043, -3226598, -5736175, -8962774?\nAnswer: -12906395","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (l**2 - l**2 + 3*l**3 + 5 - 2*l**3 - 5 + (3 - 7 + 3)*(-1 + 1 - l**3))*(3*l - 5*l + 3*l)*(-1 - 2 + 2).\nAnswer: -2*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 302.\nAnswer: 2, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5 - 29. Let n = -32 - z. Find m such that -32 + 2*m**2 + m**2 + 44 - 17*m + n*m = 0.\nAnswer: 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 68433.62 millilitres to litres.\nAnswer: 68.43362","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.634 + -0.176. Let z = -0.31 - p. Let o be ((-1 - -1) + 0)\/1. Which is the third smallest value? (a) z (b) o (c) 3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -3*b**2 + 2*b + 1. Let j(d) = -d**2. Determine 6*j(f) - l(f).\nAnswer: -3*f**2 - 2*f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*k - 28492392 = 4822653. Let f = k - -1202003. Round f to the nearest 100000.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -49\/2 and -151\/137615430.\nAnswer: 137615430","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence utu when three letters picked without replacement from {t: 2, u: 6}?\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -26\/83 in 2.7, -20\/3, -1, -5\/6?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1383243 a multiple of 895?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -372 + 373. Solve 4*n + 3*l = 4, -l = -2*n - 9 + o for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11397496 is divided by 663.\nAnswer: 526","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -44245050, -176980203, -398205458, -707920815, -1106126274?\nAnswer: -1592821835","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 12*s - 11 = -14*s, -5*s = -2*c + 20. Suppose 39 = -2*v - c. Which is bigger: v or -23?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1563932828?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*v**3\/7 - 2410*v**2\/7 - 94664*v\/7 + 130368 = 0. What is v?\nAnswer: -1164, -49, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -8*g - 3. Let f(z) = 18*z + 4. Calculate -6*f(a) - 14*p(a).\nAnswer: 4*a + 18","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -m**3 - 20*m**2 - 7*m - 828. Give i(-22).\nAnswer: 294","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2 + sqrt(192) + 1)*-2)**2.\nAnswer: -64*sqrt(3) + 772","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is q in -40\/3*q**4 + 19\/3*q**2 - 12*q - 3 + 22*q**3 = 0?\nAnswer: -3\/5, -1\/4, 1, 3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 299597.\nAnswer: 131, 2287","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eybe. What is prob of sequence bbbe?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 3662957 to the power of 1\/2, to the nearest integer?\nAnswer: 1914","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 3*s - 54 = -0*m, 2*s = 3*m - 32. Let j(a) = -m*a - a**2 - 100 + 2*a**2 + 105. Let k be j(12). Solve 10 = -5*t - k for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 + 0)\/(154\/28)?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) be the first derivative of -42 - 9\/4*w - 9\/2*w**2 + 1\/12*w**3 + 1\/4*w**4. Factor f(a).\nAnswer: (a - 3)*(a + 3)*(4*a + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 1 p when two letters picked without replacement from ppppppddpd?\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 44, 0.2, -18.93, 9, -1?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -85*o - 492. Determine c(-6).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -3700.933 + 180127434?\nAnswer: 180123733.067","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand -82*q**3 - 13105*q**2 - 1027*q**3 - 401*q**3 + 13105*q**2 + (2*q + q - 2*q)*(-q**2 + 4*q**2 - 5*q**2).\nAnswer: -1512*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -3146, -6273, -9418, -12581, -15762?\n\"Answer: -9*g**2 - 3100*g - 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 104 and 377?\nAnswer: 3016","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -175*s + 11000 + 16710 = -501*s for s.\nAnswer: -85","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1808 - -172663?\nAnswer: 174471","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1333 and 2537.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 + 2 + 8542*d + 3 - 8549*d.\nAnswer: -7*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2643 = -1833*x - 17307 for x.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 1\/301725 and -59\/482760?\nAnswer: 2413800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.0521? (a) 10\/19 (b) 2 (c) 11 (d) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 1622, 3256, 4890, 6524?\n\"Answer: 1634*n - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 371563 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:39 AM and 1:40 PM?\nAnswer: 481","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1992 in -1\/5, 1, -4, 25?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/6 of a millennium in months?\nAnswer: 2000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -32\/121 and -42\/187.\nAnswer: 2057","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -0.055016 times 0.606\nAnswer: -0.033339696","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by 587\nAnswer: -3\/587","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 50512132*0.4.\nAnswer: 20204852.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 687 minutes after 6:32 AM?\nAnswer: 5:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) be the first derivative of -x**3\/15 + 3*x**2\/10 + 11. Factor n(c).\nAnswer: -c*(c - 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1898 - -783. What is the tens digit of o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w**3\/5 + 279*w**2\/5 - 5037*w\/5 + 4761\/5 = 0. Calculate w.\nAnswer: 1, 23, 69","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*p + 19*p = -3*i + 411, -3*i + 375 = -5*p. Are i and 153 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -61*x + 40. Let i(z) = 140*z - 81. Let m(y) = -7*b(y) - 3*i(y). Determine m(5).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4*g**3*k*z - 31575*g**3*k - 3*g*k*z + 746*g*k + 165*k*z wrt g.\nAnswer: 24*g*k*z - 189450*g*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 48 and 29514.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(1024))\/(-2*sqrt(648) + sqrt(8) - sqrt(8)) - (sqrt(128) + 5 - (sqrt(2) - -3*sqrt(98))).\nAnswer: -5 + 134*sqrt(2)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide -1*(9 + (-594)\/9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*w**2 - 2*w**2 + 4*w**2)*(588 - 569 - 387 - 234) in the form s*w + l*w**2 + b and give l.\nAnswer: -1204","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5135*s + 9331*s - 6308*s + 35996*s to the form q*s + b and give q.\nAnswer: 44154","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 401, 1650, 3745, 6686?\nAnswer: 10473","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand j**2 - 19 + 7*j**5 + 19 + (3*j**3 - j**3 - 4*j**3)*(-4*j + 1116*j**2 + 5*j - 204*j**2).\nAnswer: -1817*j**5 - 2*j**4 + j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -52 + 55. Solve u*h + 6 = -6 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0, -5, 0.024, 0.1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*m + 32*m - 16 = 0. Suppose -5*h = -6*h + 3. Let s(w) = 11*w**2 - 10*w**2 - h*w + w. Calculate s(m).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-one halves of a litre in millilitres?\nAnswer: 15500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 280537 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2.5 + 3. Let d = 0.149 - 0.649. Which is the nearest to 0.1? (a) g (b) -1\/11 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14603477 a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 31\/195048832 and -13\/3496?\nAnswer: 195048832","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let 1\/6*p**2 - 5\/6*p + 1 = 0. Calculate p.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 7*k - 905 - 8*k - 3*k + 493 + 404. Suppose -s + 7 = -2*s. Determine p(s).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 49538 to the power of 1\/2, to the nearest integer?\nAnswer: 223","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -87*k - 130 = -4*m - 57*k, 7*m + k - 67 = 0 for m.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find k, given that 2*k**3 + 42*k**2 + 256*k + 480 = 0.\nAnswer: -12, -5, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 73, 79, 85, 91, 97?\nAnswer: 103","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 + (7 - 1 - 12) + 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -2*t + 22. Let q be l(11). Is 2 less than q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 93986 and -0.7.\nAnswer: 93985.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3453885.\nAnswer: 3, 5, 76753","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 122*q**3 + 112 - 240 - 43*q**3 wrt q?\nAnswer: 237*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 168 - 59*k**2 + 47*k**2 - k**3 + 4*k**3. Let a(u) = 3*u**3 - 13*u**2 + 167. Let l(j) = 5*a(j) - 6*f(j). Find the first derivative of l(p) wrt p.\nAnswer: -9*p**2 + 14*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -g**3 - 46*g**2 - 923*g - 18161. Determine u(-35).\nAnswer: 669","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 6221 to the power of 1\/2, to the nearest integer?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8)\/20 + (-52)\/20.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*j + 237 - 66. Solve j = 4*n - 4*o + 17, 2*o + 10 = 0 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 286 - 292. Let f = 0.6 - 0.1. Which is the nearest to 1\/2? (a) -5 (b) i (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*x - 750 - 117 + 328 - 41 to the form o*x + i and give i.\nAnswer: -580","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 16 (base 9) to base 5.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-12)\/8 - (-5)\/2. Suppose 5 = p, 3*x = 5*p - p - 11. Suppose -d + 4 = x. Is i at least d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*(sqrt(126) - sqrt(126)*-1))\/sqrt(2))\/(6*4*sqrt(144)).\nAnswer: -5*sqrt(7)\/48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x + 82 + 117 = 5*n + 237, -42 = -2*x + 5*n for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 250668 is divided by 250660?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u - 5*k + 236 = 0, u - 99 + 27 = 2*k. Let a(b) = 259*b - 510. Let g be a(2). Calculate the greatest common divisor of g and u.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 835, 1, -186, 0.33?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22*i - 9995830825 + 9995830825.\nAnswer: -22*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -15 + 25. Let k be (-1 - -4)\/(3\/14). Suppose 4*n + w = 3*w + 80, n + w = k. Calculate the remainder when n is divided by t.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 18 and 343362054.\nAnswer: 1030086162","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*x**6 + 2379*x**5 + 2*x**4 + 16079*x**2.\nAnswer: -360*x**3 + 142740*x**2 + 48*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -12 - -17 - -1 - (2 + 6 + -1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 0, 3, -115, 0.5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -336*k*n**2*t + 740*k*n**2 + 5*k*n*t + 12695*k + 861*n**2*t with respect to t.\nAnswer: -336*k*n**2 + 5*k*n + 861*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is seven eighths of a day in minutes?\nAnswer: 1260","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = -3*l + 1. Suppose 354 = l*y + 3*s - 13, 2*y - s = 138. Is 25 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2825764079 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -35 - -45. Suppose 6*h + 836 = c*h. Suppose -5*n = -2*k - h, 5*n = -k + 76 + 142. What are the prime factors of n?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -285*k = 83*k + 2121 - 649 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 113\/90 - 31\/30. Put s, -1\/4, -5, -1 in decreasing order.\nAnswer: s, -1\/4, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5424*x - 6460 = 844*x - 98060 for x.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 105442204.7 to the nearest ten thousand.\nAnswer: 105440000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 314046, 628101, 942156, 1256211?\nAnswer: 1570266","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -40, -39, -32, -13, 24?\n\"Answer: l**3 - 3*l**2 + 3*l - 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = h + 5*p, 5*h + 3*p = 3*h + 3. Suppose -2*n + h*n = -3. Suppose -5 - 1 = -2*a. Sort 0, n, a in descending order.\nAnswer: a, 0, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -m**3 + 4*m**2 + 8*m - 6. Let a be j(5). Suppose 2 + 4 = 3*x. Find the common denominator of 52\/9 and (-38)\/a*(-1 + x).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -272, -273, -274, -275, -276?\n\"Answer: -j - 271","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 0.3440855 weeks?\nAnswer: 2.4085985","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*t**3\/19 + 40*t**2\/19 - 86*t\/19 + 44\/19.\nAnswer: 2*(t - 1)**2*(t + 22)\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.6 + -15.6. Let q = u - -14.8. Let j(h) = -h**2 + 2*h - 1. Let t be j(2). Is t smaller than q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1.5 - 1.57. Let k be (36\/(-20) - -1)\/2. What is the closest to k in -5, 2\/9, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 4, t: 2}. What is prob of picking 1 g and 2 t?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -143*y - 40*y + 48658 - 8947. What is the greatest common factor of 25172 and y?\nAnswer: 217","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yyykyyyyyylyyyyy. Give prob of sequence lk.\nAnswer: 1\/240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 59.1991 millilitres to litres.\nAnswer: 0.0591991","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 10 and 14?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3\/2? (a) -1 (b) 1\/5 (c) -0.9 (d) 2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 3\/12 - (-2)\/(-8). Let z be (f - -2)\/2 + -1. Solve z = 3*o - y - 3*y + 35, -5*y = -2*o - 35 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 16 + -3. Suppose 3*y = -4*u - 35, 0*u - u + 5*y - 3 = 0. Let h = u + z. Solve 0 = -l + h*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -56808 divided by -27\nAnswer: 2104","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2490.\nAnswer: 2, 3, 5, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**2\/i**22*(i**10)**45 assuming i is positive.\nAnswer: i**430","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*b = 4521 + 10725. Is b a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 15) to base 13\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 693 minutes after 7:36 AM?\nAnswer: 7:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 2190?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -o**3 - 9*o**2 + 6*o + 6. Let r(m) = m**3 + 8*m**2 - 5*m - 5. Let a(g) = 5*q(g) + 6*r(g). Find the third derivative of a(w) wrt w.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-6 - -1)*(-16)\/10. Let m be (-4)\/10 + y\/(-5). Let f be m*(-1 - 1\/(-2)). Solve 2*c = c + f for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rkr when three letters picked without replacement from eekkrkekkeekkkuke?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 199957 is divided by 3851?\nAnswer: 3556","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = 2*q. Solve i - 1 = -q for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 7364307?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 200911122 to the nearest integer?\nAnswer: 14174","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -8820 - -9858. Is n a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a microgram in nanograms?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19557 is divided by 125?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -236.2 + 216. Let k = z - -20.2121. Round k to three decimal places.\nAnswer: 0.012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 5) in base 12?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -15.3 - -15.5. Which is the fifth smallest value? (a) -3 (b) w (c) -3\/7 (d) 11 (e) 3\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*b**3 - b**3 + 2*b**3)*(-5 - 3 + 9 - 18*b) as n*b + l*b**3 + q*b**2 + t*b**4 + o and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = r + 1. Let s(h) = 4*h + 4. Let q(n) = -2*s(n) + 9*u(n). Let d be q(3). Find the common denominator of (-36)\/(-45) + d\/(-10) and 1\/4.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 686 a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 32\/341 and (-3 + 1)*(6 - (-16331)\/(-2604)).\nAnswer: 2046","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1 + 40241220?\nAnswer: 40241216","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (1761\/30)\/(((-8)\/5)\/(-4)). Let x = -8813\/60 + d. Let i = 3\/28 - 43\/140. Put 2\/9, i, x in increasing order.\nAnswer: i, x, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = q**3 + 26*q**2 + 13*q - 20. Determine i(-25).\nAnswer: 280","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/l**(2\/25)*l*l\/((l*l**18)\/l))**(-24))**7 assuming l is positive.\nAnswer: l**(63336\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14013 is divided by 2797?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 8985778 to the power of 1\/2, to the nearest integer?\nAnswer: 2998","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2 + 0. Let q be (s - 2) + -2 - 7. What is the remainder when 20 is divided by 14\/(-6)*q\/3?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -2*c**2. Suppose -2*d = -3*d + 6. Let a(r) = -2*r + d*r - 3*r + 5*r. Calculate a(w(m)).\nAnswer: -12*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) be the first derivative of 0*w**2 + 0*w**3 - 13 + 7\/4*w**4 + 19*w. What is the first derivative of t(p) wrt p?\nAnswer: 21*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = 2*p - 0*p - 22, -3*p + 34 = 2*n. Suppose 0 = 12*m - 66 - 486. Calculate the remainder when m is divided by p.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 38*q**2 + 11*q + 9. Let o(c) = -19*c**2 - 7*c - 5. What is 5*o(u) + 3*v(u)?\nAnswer: 19*u**2 - 2*u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/(q\/(q**(-2)*q)))**(3\/2)\/(q\/(q**(-3\/4)\/q*q)*q*(q**(-2\/59)*q)\/q))**12 assuming q is positive.\nAnswer: q**(-2985\/59)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/24*(6\/2)\/1?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*f - 6 = -14*f. Solve -5 = -c + f*c for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (sqrt(99) - 1*sqrt(99)*6) + -5*(-3 + sqrt(99) + 0)**2 + -3.\nAnswer: -542 + 75*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = c - 5*j - 13, 4*j + 51 = c - 6*c. Suppose 194 = -40*y - 110 - 96. Put 1, y, c in decreasing order.\nAnswer: 1, c, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 965?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1.52 - -0.52. Let f = -0.8 - 3.2. Let u = 160\/1001 + 2\/91. What is the smallest value in u, f, d?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*n + 4*n + 0*n)*(-6*n**3 - 2*n**3 + 2*n**3).\nAnswer: 12*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 - 4\/16*(3 - 15).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 878 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*l + 28 = -4*m, -246*l = -243*l - 2*m + 24 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 9*f - 9. Suppose 2*r - 2*j = -4*j, 0 = 3*j + 3. Let o(a) = -22. Let g(c) = c. Let n(i) = r*o(i) + 22*g(i). Let q = 3 + -8. What is q*n(b) + 12*u(b)?\nAnswer: -2*b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 7694, 15373, 23054, 30737, 38422, 46109, 53798?\n\"Answer: h**2 + 7676*h + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -4 + -1 + 1*(-2 + -1). Let l(t) = -t - 3. Give l(q).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 50*r - 7*r - 13*r = -26*r + 280, 0 = 2*u - 2*r + 58 for u.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18937720.\nAnswer: 2, 5, 473443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) be the second derivative of c**6\/720 + c**5\/30 + 7*c**4 - 127*c. Let n(i) be the third derivative of p(i). Calculate n(2).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 257722637 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -18 + 3 - -17 - (-124)\/(-69) and -2\/9.\nAnswer: 207","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -24579 and -7.\nAnswer: 172053","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in g**2 + 39 + 76 - 15 + 269*g**3.\nAnswer: 269*g**3 + g**2 + 100","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zss when three letters picked without replacement from zssz.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*f = 22 - 1. Solve 9*g - 10*g - f = 0 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -53 + 3 - (57 + -156 + 61)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12 + 0*s - 2*s + 4*s + 14599*s**2 + 4184*s**2.\nAnswer: 18783*s**2 + 2*s - 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) be the third derivative of 0 - 1\/36*l**4 + 2\/9*l**3 - 13*l**2 - 1\/90*l**5 + 0*l. Factor t(n).\nAnswer: -2*(n - 1)*(n + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 3*o = 2*o + 232, -3*j + 2*o + 167 = 0. Suppose -53 = -f + 4*t, -f + 0*t = t - j. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 6089 + -2969. Suppose 9*t - f = -4*t. What is the units digit of t?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 4*p - 5. Let k be b(2). Let l(v) = -5*v + 24. Let d be l(k). Suppose 13*t - d*t = 88. What are the prime factors of t?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5687688.\nAnswer: 2, 3, 19, 12473","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1\/7, 4, 105?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = n**3 - 3*n**2 + 2*n - 4. Let t be d(3). Let x(c) = -c - 2. Let h be x(-5). Solve 18 = l + 4*p, -t*p = -h*l - 5*p + 9 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -7023 and -63206\/9 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 257\/30 + -49\/6. What is the closest to w in 1, -6\/11, 2\/19?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 2*q**3 - 3*q**2 - 2*q + 4. Let i(o) = -2*o**2 + 0*o**2 + 25 + o**3 - 43 + 21 - 11*o + 9*o. Calculate 3*i(t) - 2*r(t).\nAnswer: -t**3 - 2*t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 19 - 24. Let p be (-9)\/27*195*t. Let r = p - 142. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6 - (2 - 0)) + 10 + (17 - 18)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + 642 = -d, 3*d - 4*d + 1598 = -5*s. Let h = -1419 + 962. Let i = s - h. What are the prime factors of i?\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = d + 3. Let o be f(0). Suppose 0*r = o*r + z - 8, -2*r + 14 = 5*z. Find the third derivative of -3*b**5 - 2*b**r + 3*b**2 - 3*b**5 + 7*b**5 wrt b.\nAnswer: 60*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(1584)*3*5 + sqrt(1584) + sqrt(1584)*-3 + -5)**2.\nAnswer: -1872*sqrt(11) + 267732","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5716373\/60 - -95275. Let t = -123425\/12 - -10278. What is the common denominator of v and t?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.2 - -2.2. Let u = 7.53 - 7.43. Suppose -4*s = -5*s - 5. Which is the smallest value? (a) s (b) f (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -x**2 - 12 + 3 + 7 - 10*x + 4. Let y = 117 - 127. Determine j(y).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 135 = -103*g - 71 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -140 - -145. Suppose 3*j = 3*b - 1545, -6*j = -p*b - 4*j + 2581. What are the prime factors of b?\nAnswer: 11, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 27 - 9. What is the remainder when 70 is divided by k?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1507 + 323*m + 135*m + 1507)*(5 - 1 - 3).\nAnswer: 458*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -8*k + 4. List the prime factors of u(-4).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 3*p + p**3 - p**5 - p**3 - 2*p**3 - 4*p. Let f(w) = 3*w**5 + 5*w**3 + 2*w. Let y(k) = 4*f(k) + 10*h(k). What is the second derivative of y(s) wrt s?\nAnswer: 40*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -18 (base 15) to base 5\nAnswer: -43","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35*b + 26*b + 36*b = -44*b + 4615 for b.\nAnswer: 65","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1095\/2 + -522. Find the common denominator of ((-36)\/(-10))\/(8\/25) and j.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 369084489?\nAnswer: 3, 123028163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = u**2 - u + 2*u**2 + u**2 - 2 - 3*u**2. Let s be i(-2). Suppose -2*n + 2*m - 4*m = -18, -3*n + s*m - 1 = 0. What is the units digit of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 5029 and -20.032?\nAnswer: 5049.032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 8683?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.7 in 1, -2\/3, 0.2, 2, -371\/5?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20680369.\nAnswer: 20680369","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q = -2192 + 464. Is q\/6*(-1)\/2 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.345 + -0.164. Let t = 1674.8517 - 1675. Let a = k + t. Round a to three dps.\nAnswer: 0.033","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 26 - 18. Suppose -d*o + 25 = 1. Suppose -b + 209 = 3*i, 335 = 5*i - o*b + 2*b. Is 34 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + -2 + sqrt(128) + -1 + 4)*4 + -1.\nAnswer: -17 + 32*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 67, 0, -238875 in ascending order.\nAnswer: -238875, 0, 67","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-70)\/4 + (-12)\/24. Is 12 a factor of (u\/(-39))\/3 + (-2488)\/(-52)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1425440255 divided by -5\nAnswer: -285088051","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 260\/63 + -32\/7. Which is the biggest value? (a) n (b) 2 (c) 2\/7 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 5*h - 5. Suppose -5*t + 3*t = -5*t. Suppose 4*c + 0*c - o - 37 = t, 5*c = -4*o + 41. Calculate b(c).\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -2*v + 7. Let j(z) = -6*z + 18. Let u(h) = -4*j(h) + 11*s(h). Let y(n) = -n - 3. Give -4*u(q) - 7*y(q).\nAnswer: -q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r - 2569 = -3*d, -5*r = 2*d - 6*d + 3426. Let y = d + 124. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 8*w - 5*w. Let z be 8 - (-3 + w - 1). Let k = -7 + z. Solve -2 = -n + k for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + -2*(sqrt(117) + sqrt(117)*-2) + 2*sqrt(1300)*-1.\nAnswer: -14*sqrt(13) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/(153\/(-6)))\/(1506\/140811).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(-5*(sqrt(1584) - (-5 + sqrt(1584)*-1)) + 2).\nAnswer: -600*sqrt(11) - 115","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 102761 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 654470, 2617947, 5890436, 10471937, 16362450?\nAnswer: 23561975","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 106476 to the power of 1\/4, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) be the second derivative of -4*o**3\/3 - 11*o. Let r(a) be the third derivative of a**5\/30 - a**2. Determine r(p(f)).\nAnswer: 128*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 75 and 2835.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -z**3 - 7*z**2 - 5*z - 3. Let s be j(-6). Let c = 51 + -36. Let r = c + s. Calculate the least common multiple of 5 and r.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-3 + 3)\/1 - -6. Let f be 0 + q + -4 + 1. Is (6\/4)\/(f\/30) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 208505161 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (50\/(-15) + 1)\/((-1)\/(-3)). Let z be 5\/l*(64\/(-20))\/(-4). Suppose d + 4 = -3*d. Which is smaller: d or z?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 221 - 221.2255. Round q to 2 decimal places.\nAnswer: -0.23","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 57 a factor of 1750534035?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 108 = -o + 3*o, 5*z + 4*o - 180 = 0. Let s be z\/10 - (-4)\/10. Let n(x) = 8*x - 1. Is n(s) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4132.7 - 4132.70053558. Round y to 4 decimal places.\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -b**2 - 2*b + 9. Let j be r(3). Let p be (4\/(-10))\/(j\/7170). Is p\/12 - (0 - (-3)\/(-18)) a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5 - 11. Let r = k + 6.5. Let f = 1 - r. Which is the smallest value? (a) 0.3 (b) 2 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 788266631 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 5*r = -43 + 6, 0 = 4*l - 4*r + 44. Let s(q) = 5*q + 32. Let c be s(l). Calculate the highest common divisor of 14 and c.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5 in -3\/4, 3, 2\/15?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2172 is divided by 6?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -341.3736 to the nearest 10.\nAnswer: -340","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 33\/7 - 50\/(-175). Suppose -c = 3*g + 11, s*g - 2 = -2*c - 22. List the prime factors of (-408)\/(-5) - g\/5.\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) be the third derivative of 4003*h**9\/504 - 3*h**5\/20 - 11*h**4\/6 - 1367*h**2 + 2*h. What is the third derivative of c(d) wrt d?\nAnswer: 480360*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 63*y + 13 + 9 + 9 + 146*y - 30 to the form i*y + w and give w.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1.51 (b) -4\/3 (c) -0.0547 (d) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) be the third derivative of -h**5\/30 + 17*h**4\/24 + 43*h**3\/6 - 989*h**2. What is z(11)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - 5*d = -15, -2*d + 3 = z - 3. Let l be 1 - (2 - z) - -4. Solve -2*v + 11 = l*i, -v - 4*v + i + 2 = 0 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 4\/(-2)*33\/(-22). Suppose -z - 4*g + 99 = 0, -4*z + 424 = s*g - g. Calculate the remainder when z is divided by 37.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 5727 and 83?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -44, 21, 104, 193, 276, 341, 376, 369?\nAnswer: 308","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 242 and 13673?\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Determine b so that 532*b**2 - 324*b - 40 = 0.\nAnswer: -2\/19, 5\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1001201002221102 - 10?\nAnswer: 1001201002221022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s**3 - 79680*s**2 + 318780*s - 318800 = 0. What is s?\nAnswer: -15940, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -4, -6, -839 in decreasing order.\nAnswer: 5, -4, -6, -839","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 51659412 a multiple of 874?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = x + 5. Let l(y) = y + 5. Let a(n) = 2*l(n) - 3*q(n). Let w be a(-5). Sort -2\/7, w, 2\/13 in decreasing order.\nAnswer: 2\/13, w, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 375377.\nAnswer: 17, 71, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1792 and 3087616?\nAnswer: 3087616","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.199 + -11.801. Which is the third smallest value? (a) 1\/2 (b) o (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3454 and 0.3?\nAnswer: 1036.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - x = 8. What is the biggest value in -1\/4, x, -0.1, -0.4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 158003 is divided by 19.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 4009, 8012, 12017, 16024?\n\"Answer: l**2 + 4000*l + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -134, -88, -8, 106, 254, 436, 652?\n\"Answer: 17*c**2 - 5*c - 146","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 23 - (2 + 1 + 0). Suppose 2*b - q = b. Suppose 0 = 5*y - g - b, -3*y - 8 = -5*y - g. Put -3, y, -2 in increasing order.\nAnswer: -3, -2, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 + (-2 - 27 - -38) + 21?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 283237, 283233, 283227, 283219, 283209?\nAnswer: 283197","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -11 - c?\nAnswer: -1d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1, -24, 3, 0.4, -2, 64\/9?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) be the first derivative of 630*i**5 - 728*i**3 - 1686. Find the third derivative of t(n) wrt n.\nAnswer: 75600*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*-6*(sqrt(480) + sqrt(480)*1)*2)\/(sqrt(490)*2*-1 + sqrt(490) - (5*sqrt(490)*-1 - sqrt(490))).\nAnswer: -96*sqrt(3)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.02712 to 3 decimal places.\nAnswer: -0.027","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -204514, -409034, -613554?\nAnswer: -818074","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q = 4*n + 3, 3*q = -72*n + 76*n + 23 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 8 = -a, 3*a + 14 = 2*k + 40. Let r(f) = -f + 9. Let c be r(a). Let q = c - -7. Does 6 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find x such that 2*x**5 - 64*x**4 + 444*x**3 + 1088*x**2 + 578*x = 0.\nAnswer: -1, 0, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put together 1 and 6.57.\nAnswer: 7.57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 125\/59950722 and 83\/54?\nAnswer: 539556498","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2 + -12223441?\nAnswer: -12223434","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 j when four letters picked without replacement from jjojoooooooojj.\nAnswer: 5\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (-4 - 54\/(-15))*(-5)\/(-4)\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 5*x = 131, j - 5*x - 28 = -1. Suppose 0 = 4*h - 5*w + 2*w - j, -h + 5*w = -13. What is the remainder when h is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*a - 19*a - 380 = 0. What is the smallest common multiple of 14 and a?\nAnswer: 532","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4043603 (base 7) to base 11.\nAnswer: -2a9861","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 4*f - 46 = -4*b, 16 = f + b. Find the common denominator of 0 - (-29)\/14*1 and 249\/f + -2 + -2.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 10 = -2*w, 4*w = 2*u + 3 + 1. What is the closest to w in 1\/3, 2\/13, -3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zylzzpjzjjqjj. Give prob of picking 1 j and 1 q.\nAnswer: 5\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.13 + 0.63. Which is the nearest to 0.1? (a) -3\/8 (b) 2 (c) 1 (d) r\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -q**3 - 5*q**2 - 4*q + 3. Let l be m(-4). Let o be l*(-2 + 22\/6). Sort -2, o, 4 in descending order.\nAnswer: o, 4, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 115041?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 11*t + 40*t + 918 for t.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 15767808 a multiple of 96?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = l**2 + 4*l - 12. What is the tens digit of u(-11)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) be the first derivative of 7*p**3\/3 + 70*p + 29. Let u(y) be the first derivative of i(y). Let s(f) = 2*f**2. Calculate u(s(h)).\nAnswer: 28*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 2895 to the power of 1\/2, to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 64 a factor of 689977?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1217 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: Is 3 a factor of 29648?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + 3 + 4 + -4.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a = 8 + 6. Let y = 4 - a. Let w = y + 8. What is the units digit of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 111111010000 (base 2) to base 15\nAnswer: 12ed","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -114708515805 - 0.2.\nAnswer: -114708515805.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 3, d: 2, x: 2, l: 2}. Give prob of sequence llx.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 444 minutes after 9:59 PM?\nAnswer: 5:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 16 + 7 = 3*l, 4*m - 14 = l. Let r = -18.5 + 19. What is the second smallest value in 22.8, -2, m, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 712?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mmmmmmmmmm. Give prob of picking 2 m.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 974 - 422. What is the highest common factor of 1242 and p?\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1 + -1.14. Let i = m + 0.04. Let n = -1 - -0.6. Which is the biggest value? (a) 0 (b) i (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f + 24 = 4*i, 0 = -4*i + 56*f - 65*f + 29*f - 40 for i.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -x - x - s + 2, -4*x - 2 = -s. Suppose -m + 14 = m. Solve x = -5*q - 5*h + 10, -m*h = 3*q - 3*h - 9 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 4 + 249032e?\nAnswer: 2490333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 3*f + 8. Let k be y(-2). Suppose v - 2*q - 12 = 0, 3*v + q - 93 = -k*v. What is the remainder when 124 is divided by v?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9 = -o + 5*b, -b + 16 = -o + 17 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 784*q - 53*q + 578*q - 35343 = 0 for q.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8491156 is divided by 113?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 27 is divided by 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8*8*11\/(-32).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0 + -19. Let v = m - -29. What is the smallest common multiple of 8 and v?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 173*n - 318*n - 2*r = -165*n + 2, -4 = 4*r for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -50 - -51. Is -1 smaller than m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 8 and 3022?\nAnswer: 12088","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ax when two letters picked without replacement from {f: 1, x: 2, a: 2, i: 4}.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-1 + 3 - 1)*(-4 + 3 + 2) + (2 - 2 + 1)*(-1 - 3 + 3) + 3 + 7 + 0 - 55 + 36 - 61)*(-4*l - 3 + 3).\nAnswer: 280*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 46125?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 358*t - 418 = 356*t. Calculate the greatest common divisor of 19 and t.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 2*k**2. Let j(l) = 57393*l + 195. Calculate j(w(u)).\nAnswer: 114786*u**2 + 195","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven tenths of a minute in seconds?\nAnswer: 66","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = q**3 + 10*q**2 - 421*q - 130. Let r be s(-26). Solve 70 = -5*z - 3*d + 78, r = 5*z + d - 6 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.007997 - -1.20495.\nAnswer: 1.212947","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -353 - 94*l + 117 + 116 + 120.\nAnswer: -94*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 163734 and 3886.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Let c = -4.87 + -0.13. Is -3 != c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 10 - -20?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -64 - -69. Suppose -4 = 2*i - 2*s - 0*s, -22 = i - p*s. Does 4 divide ((-16)\/60*i)\/((-3)\/135)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (4 + 99\/(-6))\/(3\/(-6)) is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13685 divided by 391.\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 536?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*f**2*y - 38*f**2 + 36*f*y**2 + 5*y**2 - 60 with respect to y.\nAnswer: -2*f**2 + 72*f*y + 10*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p = 209 - 74. What is the units digit of p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 21995689?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ri when two letters picked without replacement from {s: 3, h: 5, i: 2, k: 1, r: 1}?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a - 51 = 4*o - 19, a + 11 = -2*o. Let c be 0\/(-2) + o + 1 - 13. Are c and -16 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) be the second derivative of -i**6\/10 - 27*i**5\/20 + 21*i**4\/4 - 11*i**3\/2 + 6*i + 8. Factor w(d).\nAnswer: -3*d*(d - 1)**2*(d + 11)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 12655273 to the nearest integer?\nAnswer: 3557","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4\/126561 + 10760309\/83024016. Find the common denominator of p and -21\/20.\nAnswer: 3280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(1\/3))**(-1\/21))**27\/((p**(2\/7))**(-22\/5)\/(p**(-7)*p**(-5))) assuming p is positive.\nAnswer: p**(-391\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 5, u: 3}. What is prob of picking 3 y?\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (12\/(-50)*-5)\/((-2)\/10). Let d(w) = w**2 + 5*w + 6. Calculate d(i).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -22, -90, -192, -322, -474, -642, -820?\nAnswer: -1002","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 33.7553654 to three dps.\nAnswer: 33.755","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s\/(s**(-6)*s))\/s**7)\/(s**(1\/3))**(2\/35))\/((s\/(s**(-3\/11)\/s))\/s**1)**(-14\/3) assuming s is positive.\nAnswer: s**(5683\/1155)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*o + 2 + 7*o + 0*o + 5*o + 2 - 2 + (3 - 1 - 1)*(o + o - 5*o).\nAnswer: 6*o + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = c**3 + 3*c**2 + 3*c. Let b be g(-2). Sort -5, 3, b.\nAnswer: -5, b, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1)\/5 - 104\/(-20). What is u in 6*u - 8*u**2 - 7*u**2 + u**5 - 4*u**k + 3*u**4 + 0*u**3 + 9*u**3 = 0?\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = i**2 + i + 1. Let k be m(-2). Let q = k - 0. Find the third derivative of -q*r**4 + 5*r**4 - 4*r**2 + 3*r**2 wrt r.\nAnswer: 48*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) be the third derivative of -81*r**8\/112 + r**7\/210 + r**4\/12 - 23*r**3\/6 + 165*r**2. What is the second derivative of u(i) wrt i?\nAnswer: -4860*i**3 + 12*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 519.1707ms?\nAnswer: 0.008652845","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3152703 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -4200003*l**3 + l - 2. Let g(z) = 4200002*z**3 + 1. Let r(x) = -4*g(x) - 3*n(x). Let b be r(1). Round b to the nearest 1000000.\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -18 and 9550836.\nAnswer: 9550818","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: ((168\/16)\/21)\/(2\/(-4))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jejp when four letters picked without replacement from {m: 2, c: 1, e: 1, p: 7, j: 5}.\nAnswer: 1\/312","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 1, x: 4, q: 8}. What is prob of sequence xgx?\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 535 + -216. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2175 is divided by 33?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = r + 14. Let s be j(0). Let c be s\/(-3)*(7 + -4). Let a be (-34)\/3*21\/c. What is the highest common divisor of 153 and a?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -42 - 25 - -39 - (29 - -4)\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = -5*f + 1, -2*k = -3*k - 1. Let w be (-44)\/(-24) - (-1)\/(-3). What is the nearest to f in w, -3, -5?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -4*g - 6. Let f(r) = -4*r - 2*r - 4*r + 12*r. Give k(f(m)).\nAnswer: -8*m - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 33162 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = -4*m - 0*m. Let t(j) = -1. Let h(z) = -8*z + 12. Let l(d) = h(d) + 12*t(d). Is 14 a factor of l(m)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 + (7 - -1) + -6\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 15855, 15954, 16225, 16752, 17619, 18910, 20709?\n\"Answer: 14*r**3 + 2*r**2 - 5*r + 15844","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -14 (base 14) to base 4\nAnswer: -102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) be the first derivative of 2*z**3\/3 - 7. Let a(i) = -3*i**2 - i + i. Determine w(a(v)).\nAnswer: 18*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 845 and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2\/(-4)*(6 + -2). Let q be (j + -8)*(-1)\/2. Let f be 6\/2 + 3\/((-111)\/109). Which is the closest to -0.2? (a) -0.3 (b) q (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 574583?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 times -926.309?\nAnswer: -2778.927","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + -6*(5*(sqrt(1539) - (0 + sqrt(1539)))**2 + 3 + 1*sqrt(1539)*-3*-5) + -4.\nAnswer: -810*sqrt(19) - 19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4291583?\nAnswer: 4291583","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1904363958?\nAnswer: 2, 3, 7, 19, 107, 22303","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1210 to the power of 1\/2, to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-3)\/(-2) - (-28)\/(-8). Let u be ((-2 - c)*-1)\/2. Suppose 5*l = -n + 110, u*n + 2*l - 573 = -5*n. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (1*((1*sqrt(280)*-4)\/sqrt(8))\/(sqrt(605) - -5*2*sqrt(605)))**2.\nAnswer: 29394\/14641","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -2654.18865 to the nearest integer.\nAnswer: -2654","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 130191 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen fifths of a microgram in nanograms?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1 * 13.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -24173.5673 rounded to the nearest one hundred?\nAnswer: -24200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((864\/891)\/(-32))\/(3\/(-54)).\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1 (b) 113 (c) 4 (d) -223 (e) 1\/4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -17\/3573 and -125\/2382?\nAnswer: 7146","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 n and 1 z when four letters picked without replacement from ntbbbncnzbn.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 13906 and 12459776?\nAnswer: 12459776","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = o**3 - 4*o**2 + o - 2. Let x be r(4). Suppose 0*t + x = t. Solve -t*n - 3*n = 0 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 6956772*g**4*v**2 - 13177059*g**2*v**2 wrt g.\nAnswer: 166962528*g*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:08 AM and 7:48 AM?\nAnswer: 400","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = v - 1 + 0*v + v. Let l be 32\/(-18) + 2 + 32\/18. Suppose 0 = -2*k - l*c - 2*c - 6, 3*c = -4*k - 7. Calculate a(k).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - i + 3708 = 0. Suppose -5*h + h = -i. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = n - 7*n. Let g(v) = -v - 3. Let w be g(n). Let z be w - -6 - (-32)\/2. What is z rounded to the nearest one hundred?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 258 (b) 1\/6 (c) -4 (d) -7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c**(-23)*c**(18\/11)\/c*c)**11 assuming c is positive.\nAnswer: c**(-224)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1813145119 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 17458 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 2*u. Let i = -960 - -984. Let o(f) = -13*f + 6 + 4*f + 9 - 8*f + i*f. Determine g(o(t)).\nAnswer: 14*t + 30","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 3, c: 5, t: 2, q: 6, o: 1}. Give prob of sequence to.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y + 4*l = 15, -6*y + 2*y + 5*l = 29. Let t be -1*(9\/22)\/(-3). Is y at least t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 1 a when two letters picked without replacement from {f: 4, r: 2, s: 4, d: 1, k: 1, a: 2}?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/(19\/684*-56).\nAnswer: 18\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6339 is divided by 94.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3460 is divided by 15.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*f + 2*i + 10, 2*i - 29 = -3*f - 4. Suppose f*x = x + 2484. Is 46 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 309376 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 370, 3058, 10384, 24676, 48262, 83470, 132628, 198064?\n\"Answer: 388*g**3 - 9*g**2 - g - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 2, u: 1, c: 4, t: 6}. What is prob of picking 4 t?\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2 + 7. Which is the second biggest value? (a) -3\/5 (b) t (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:53 AM and 8:16 PM?\nAnswer: 623","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5 - -1)\/(-4) + -3?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y + y = 3*b + 3, -6 = -3*y + 5*b - 8 - 1 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven halves of a gram in milligrams?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*n - 6*n + n)*(4 - 4 - n) - n - 3*n - 13*n + 17*n + 146*n**2.\nAnswer: 148*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/7 in 2\/13, 1\/3, -1\/2?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 505382 to the power of 1\/2, to the nearest integer?\nAnswer: 711","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6787126?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -w**4\/7 - 55*w**3\/7 - 54*w**2\/7.\nAnswer: -w**2*(w + 1)*(w + 54)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(1\/2))**(1\/12)*p**(-13\/2)*p**9*p assuming p is positive.\nAnswer: p**(85\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -i**2 + 2*i**2 - 3*i**2 - 64 + 51 to p*i**2 + d + q*i and give d.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1424203214 (base 5) in base 11?\nAnswer: 2125793","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2\/(-4) + (-12)\/(-24). Let x be 3 + (r - (0 - -3)) + 5. Solve 0 = -3*a + 3*m - 6, -x*a + 5*m - 1 = 3*m for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = l**3 - 13*l**2 - 6*l - 3. Let r be d(13). Let o = -1 - r. What is the tens digit of o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -a + 3. Suppose -5*i = -0*i - 2*d - 56, -a*i = 3*d - 11. What is the highest common divisor of i and 15?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) be the second derivative of -t**3\/3 - 107*t**2\/2 + t + 714. Let w(u) = -21*u. Calculate s(w(m)).\nAnswer: 42*m - 107","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/5? (a) 2831 (b) -3\/11 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + 3 + -2 - -1?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 4*c. Let z(k) = k**2 - 4*k - 19. Let n be z(8). Let p(a) = -9*a**2 + 16 - 29 + n. What is p(o(j))?\nAnswer: -144*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3363 - 3346. What is the remainder when 1783 is divided by b?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -9, -4, 1640, -119 in descending order.\nAnswer: 1640, -4, -5, -9, -119","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1 - (-5)\/2*28\/(-98). Put m, 3\/14, 0.4 in increasing order.\nAnswer: 3\/14, m, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-110)\/10*(-15)\/11.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 80109.\nAnswer: 3, 23, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2.34 - -118.34. Let x = 116.00000051 - l. Round x to seven decimal places.\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/2 or -2008165?\nAnswer: -2008165","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1425847 - -1167153. Round y to the nearest 1000000.\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -394.22 times -3\nAnswer: 1182.66","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**26\/z**(-16))**(-42) assuming z is positive.\nAnswer: z**(-1764)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 250226, 250253, 250278, 250301?\n\"Answer: -q**2 + 30*q + 250197","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -717 divided by -3?\nAnswer: 239","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 58 a factor of 8669782?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -o**2 - 33*o + 64. What are the prime factors of t(-32)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*d + 7*d = -5. Let t be 2*(-4)\/((-12)\/165). Suppose t = -d*v + 300. Calculate the remainder when v is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -8711, -7214, -4645, -944, 3949, 10094, 17551?\n\"Answer: 10*f**3 + 476*f**2 - f - 9196","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 36 - 2*p**2 + 33 - 16*p + p**2 - 64. Let f be i(-16). Solve 3*j - 9 = 0, 0*l = -4*l + f*j - 23 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1257 to the power of 1\/4, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 49259 is divided by 46?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -48 - -102. What is the remainder when m is divided by (64\/(-3) - -22)\/(1*14\/273)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 270551?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 3 z when four letters picked without replacement from {z: 7, q: 3}?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -19.176 and 0.3.\nAnswer: -5.7528","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-10)\/(-4))\/(-5))\/((205\/5)\/205)?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 c and 1 b when four letters picked without replacement from cbcbcbbbcbcc.\nAnswer: 8\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 75 - 0. Suppose 5*z - 88 = -4*t, 2*z = 5*t - l - 68. Let y be 0*3\/12 + 9. What is the highest common factor of y and t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8305.\nAnswer: 5, 11, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = j - 0*j + t - 44, 56 = j + 4*t. Solve -4*f + w = 5*w + j, -5*w = -5*f for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 198*a - 273 + 273.\nAnswer: 198*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -28382805 + 511119529\/18. Let v = -12729 + c. Find the common denominator of -49\/8 and v.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4 - 0. Let r be (d\/10)\/((-2)\/(-20)). What are the prime factors of (-7 - 1)\/(r\/2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -49*j - 38. Let f(w) = 30*w + 20. Let g(i) = 5*f(i) + 3*z(i). Suppose r - 24 = -3*r. What is the units digit of g(r)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -j**3 + 5*j**2 - 10. Let w be n(5). Let s = -27 + 26.5. Which is the second biggest value? (a) w (b) s (c) 0.2 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 35934359 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 6665*v - 10. Let c be k(-4). Let g be (c\/(-49))\/((-3)\/(-14)). Round g to the nearest one thousand.\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (c + 169 - 13 + c)*(147*c**2 + 46*c**3 - 147*c**2) to the form n*c**2 + b + k*c + l*c**4 + a*c**3 and give l.\nAnswer: 92","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 2*u**2 - 6*u + 7. Determine m(-4).\nAnswer: 63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 71074299 a multiple of 39?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1457*t = -1483*t + 8008. What is the remainder when 965 is divided by t?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 1, 11, 10.\nAnswer: 1, 5, 10, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -i**2 - 46872*i.\nAnswer: -i*(i + 46872)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -14\/15 and -10\/1251?\nAnswer: 6255","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2497034?\nAnswer: 2, 193, 6469","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5.2 - -5.5. Which is the biggest value? (a) -3\/8 (b) v (c) -2 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -135*q + 260*q - 147*q.\nAnswer: -22*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 5, -1, 224, -5 in decreasing order.\nAnswer: 224, 5, -1, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 + 25 = 3*r. Suppose -6*u + 103 = -r*u. What are the prime factors of u?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 43192414 times 2\nAnswer: 86384828","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 18 - 36\/33*16.\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5 - 3. Let r be 1280\/24*-6*((-8925)\/(-10))\/(-3). Suppose 4*p + q*k + r = 0, 119000 = -5*p - 2*k + 5*k. Round p to the nearest 10000.\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-18 - -3)*1\/(-2)*(145 + -5) is divided by 82.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = z**3 - 5*z**2 - 7*z - 4. Let w be c(6). Let a be w\/(-4)*(-24)\/(-15). What is the common denominator of 28\/5 and (39\/8)\/(5\/a)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(-6*(sqrt(112) + 2 - sqrt(112) - sqrt(112)) - 6*sqrt(112)*3))**2*-1.\nAnswer: -16272 - 1152*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w + 7 = -25*c + 23*c, 24 = -5*c - w for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 256417 and 49.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.4, -0.5, 1\/5, 1, 0.1 in descending order.\nAnswer: 1, 0.4, 1\/5, 0.1, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q = x - 411 + 430, -q = 2*x + 14 for q.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -5*t + 2686. Let k(r) = -r + 537. Calculate -11*k(c) + 2*y(c).\nAnswer: c - 535","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -20.7 - -21.2. What is the fourth smallest value in -0.2, j, -4, 0?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 6 and 420.\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 5*p + 7. Let w(k) = -3*k - 6. Let x(d) = -d + 1. Let t(v) = 2*w(v) + 2*x(v). Let g(m) = -7*l(m) - 5*t(m). Let z = -3 + 2. What is g(z)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = -3*l. Let p = l - 6. Let r(h) = -25*h**3 - 26*h**2 + 7*h - 35. Let n(m) = -9*m**3 - 9*m**2 + 2*m - 12. Let v(z) = -11*n(z) + 4*r(z). Determine v(p).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 6 + 0)*(l**2 - 2*l**2 + 3*l**2).\nAnswer: 20*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 446 is divided by 136?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 4*s = 18, -h - 3*h - 2*s = 72. Suppose 274*d - 1230 = 356*d. Is d > h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*n**2 + 14*n**2 - 2*n**2.\nAnswer: 16*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -6275.5 times -21?\nAnswer: 131785.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -52, 32, 23, -4, -2 in descending order.\nAnswer: 32, 23, -2, -4, -52","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((0*y + 4*y - 5*y)*(-235 - 21*y + 235) - y**2 - 15 + 15 + 1 - 1 + 2*y**2)*(13 + y**2 - 13) to the form t*y + f + o*y**4 + a*y**3 + s*y**2 and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.081 and 7201?\nAnswer: 583.281","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (36\/(-36))\/(9\/(-1)*1).\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 6*g - 2*g + 0*g. List the prime factors of w(6).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 95818 = 4*v + 2*t, -15*t + 95823 = 4*v - 12*t. Calculate the remainder when v is divided by 17.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 42\/4*((-128)\/3)\/(-8). Let l be 2\/(-8) - 98\/i - -4. Solve -l*c = -0*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -96324777*f**4 + 84014895*f wrt f?\nAnswer: -1155897324*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:53 PM and 8:11 AM?\nAnswer: 678","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 204517 + -2?\nAnswer: 204515","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -18*m**3*q**3*v**2 - 30*m**3*q**3 - m**3*q*v + 252*m*q**3*v**2 + 48*q**3*v wrt v?\nAnswer: -36*m**3*q**3 + 504*m*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 160410369011 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1124876298?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 3*m - 5 = 0, 2*f = 2*m - m + 1. Let l be (382\/4)\/(1\/(-2)). Is (-2 - 1\/f)*l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = q**3 - 8*q**2 - 7*q - 7. Let d be 7 + (-4)\/((-4)\/2). Let n be h(d). Let u = n - -1. Calculate the highest common factor of u and 18.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(2) + 4)**2 - (0 + sqrt(162)) - (sqrt(810) + 2*sqrt(810) + sqrt(810) - sqrt(810))\/(1*sqrt(20)\/sqrt(4)).\nAnswer: -32*sqrt(2) + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(68)\/(sqrt(18) + sqrt(2)))\/sqrt(2).\nAnswer: sqrt(17)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 45742516?\nAnswer: 2, 11435629","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 495 and 11.\nAnswer: 495","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 36 - 20. What is the tens digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zz when two letters picked without replacement from {a: 7, z: 4}?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -g**2 - 4*g + 5. Let q be y(-6). Let j(i) be the third derivative of i**5\/60 + i**4\/3 + 5*i**3\/3 - 173*i**2 - 23. Determine j(q).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + sqrt(13) + 1)*4 + sqrt(52)\/(sqrt(12)\/sqrt(3)) + sqrt(13)*-1 + -1 - ((sqrt(637) - -1*(-2*sqrt(637))**2) + sqrt(637) - (-3 + sqrt(637))*-1).\nAnswer: -2530 - 17*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -3a46b5 (base 13) to base 8\nAnswer: -5300637","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -182716.925 to the nearest one hundred.\nAnswer: -182700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -o**3 + 6*o**2 + 1. Suppose -2*v + 12 = -0*v. Let l be z(v). Let i be (-2)\/(-4)*(-11)\/(-6) + -1. Is l equal to i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kyyykkyyyyyyyykkkyy. What is prob of sequence yyyy?\nAnswer: 715\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p + 131 = 3*n + 100 - 51, -7*p + 287 = -n for p.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 6 - 4. Suppose 0 = i*x - 3 - 1. Suppose 3*y - 67 = 4*c, c + 22 = x*y - 26. Solve 3*g = 2*b - 5, -3*g + b - 3*b = y for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -10916, -15955, -20994, -26033?\n\"Answer: -5039*z - 5877","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 - 2*z + 2)*(-7*z - 3*z + 3*z)*(-7 + 2 + 1)*(-6 + 4 + 0)*(-z + 2*z + 4*z) to the form q*z**3 + r + s*z**2 + b*z and give q.\nAnswer: 560","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/(21\/7))\/(-8*(-7)\/448)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1)\/((-3 - -1)*(-6)\/48). Suppose -6*f = -f - 85. What is the units digit of f + 3\/1 + q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qf when two letters picked without replacement from {h: 1, q: 1, p: 1, u: 1, f: 1}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 262996200*a - 101686346?\nAnswer: 262996200","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) be the first derivative of -12 - 10*g - 5\/2*g**2. What is the first derivative of d(q) wrt q?\nAnswer: -5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -9*m**2 + 38*m + 102. What is s(0)?\nAnswer: 102","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 9*p**2 + 11*p - 14*p**2 - 4*p. Let m(y) = -y**2 + y. Let a(i) = 6*m(i) - n(i). Find the second derivative of a(f) wrt f.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 8564 - 2007. Is 79 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1425 divide 144817050?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 634222\/35 + -18122. What is the common denominator of -81\/98 and q?\nAnswer: 490","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -233, -1\/7, 15, -1?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-15)\/(-12))\/(2*(-2)\/(-16))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -278 + 281. Suppose -g*u - 12 = 0, -5*u = 34*d - 36*d + 1600. List the prime factors of d.\nAnswer: 2, 5, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that 3*n**4 + 3267840*n**3 + 889832829600*n**2 - 35597234688000*n + 355985418720000 = 0.\nAnswer: -544660, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1.27 - 1. Let r = w - 0.354. What is r rounded to two decimal places?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -118978 = -2*y - 87*n + 89*n, 3*y - 178419 = -3*n. List the prime factors of y.\nAnswer: 3, 2203","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 plus 6158951?\nAnswer: 6158950.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -304, -617, -932, -1249, -1568, -1889, -2212?\nAnswer: -2537","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -29\/66 + -2\/33. Let b = -0.65 - -0.5. Let i = b - 0.05. What is the nearest to z in -2, 2\/9, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (192\/(-8064))\/((-4)\/(-18))*4*-2.\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000922 rounded to 5 dps?\nAnswer: -0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 10 + 2 - (29 + -24)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46*l + 87720 = -225554 - 101508. What is the hundreds digit of l?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*h**4 + 5*h**2 - 6*h**2 - 5*h**3 - 6*h**2 + 1 + 2*h + 4*h**2 to the form l*h**4 + q*h + f + d*h**3 + w*h**2 and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-14 + -10 - -14) + 22?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = l**2 - 4*l + 7. Let b be m(3). Let o be -3*(1 - 2) - (-38 - b). Suppose -o = z - 184. What are the prime factors of z?\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -c + 4*f - 17, -c - 3*f + 1 = -3 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hhhsssshhsss. What is prob of sequence hh?\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -a + 12. Let g be (-40 - -48) + (-3)\/1. Calculate s(g).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 22554?\nAnswer: 2, 3, 7, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rddd when four letters picked without replacement from dddrdddr.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -503*r - 2. Let o be y(2). Let h = -583 - o. What is the hundreds digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 82603?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + 172 = 706. What is the units digit of r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6594421 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2.7107517 - 2.711. Round r to five decimal places.\nAnswer: -0.00025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 31, 61, 91?\nAnswer: 121","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -0.3510994425+-0.1\nAnswer: -0.4510994425","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.127 + -0.057. Sort r, -3, -1 in ascending order.\nAnswer: -3, -1, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 - (-5 - (4 + -2 + -4)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-4)\/4*(-1 - -1). Solve -2*c + c - 1 = t for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34*g + 161 = -961. Solve -19*k = -8*k + g for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12981 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1308288904 to the nearest integer?\nAnswer: 1094","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*g - 2*g + g + (-2 + 1 + 2)*(g + g + 0*g) + 1 - 8*g + 29*g + 34*g to the form n + s*g and give n.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 63498239 is divided by 5120.\nAnswer: 5119","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -s + 4685. Let q(l) = 6*l - 28107. Calculate 13*m(j) + 2*q(j).\nAnswer: -j + 4691","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1 + 0.8. Let p = 2 + 1. Let t = -2.7 + p. Which is the third smallest value? (a) r (b) t (c) 2\/17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1421745 a multiple of 69?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 76393 is divided by 25197.\nAnswer: 802","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 2898592571 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -101, 5, 7, -49 in descending order.\nAnswer: 7, 5, -49, -101","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 462*a + 8480 - 17783 - 20290 = 11525 for a.\nAnswer: 89","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a millimeter in micrometers?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -65*c**4 + 1338*c**3 + 186*c**2 + 443556668 wrt c.\nAnswer: -260*c**3 + 4014*c**2 + 372*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(88) - 5*(sqrt(88) + -5*sqrt(88) + sqrt(88)))*-4)\/((sqrt(132)*-6)\/sqrt(3)*2).\nAnswer: 16*sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -47669 + 5560 - 8157 = 244*f + 982*f for f.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j*j**0)**41)**(-15))**(1\/3) assuming j is positive.\nAnswer: j**(-205)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Total of -28425235.428 and 0.6.\nAnswer: -28425234.828","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 6, v: 3, i: 2, t: 1}. What is prob of sequence iwv?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2947*k**4 + k - 133 + 3059*k**4 - 2*k wrt k.\nAnswer: 448*k**3 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 39902 (base 11) to base 8.\nAnswer: 157241","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.5, 17, 1333?\nAnswer: 1333","meta":{"dup_signals":{},"source":"comparison__kth_biggest_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: Let a(j) = 20*j**3 - 1. Calculate a(-1).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 319988521 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -10 - -10422022?\nAnswer: 10422012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 30829 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -406 greater than or equal to -396?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -3507 <= -4118?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -2*a**2 + 0 + 0. Suppose -2*n + 6 = -0. Let z(x) = n - 3 - 2*x. What is u(z(r))?\nAnswer: -8*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -17684.19 + 17682.6830712. Let d = n - 0.723089. Let y = d - -2.23. Round y to 6 dps.\nAnswer: -0.000018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*w - 48 = 3*w for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 56.73165ms to nanoseconds.\nAnswer: 56731650","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -b**3 + 3*b**2 + 4*b - 4. Calculate f(4).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ec when two letters picked without replacement from iccse?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = d**2 - 17. Let g be p(0). Let y be g\/4 - (-1)\/4. What is the tens digit of 1\/y - 270\/(-24)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00001097 rounded to 6 dps?\nAnswer: -0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 greater than or equal to -16\/62699?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-5)\/(-20) + 2\/(-8). Suppose 0 = -2*a - 4*g, -3*a + 3 = g + 4*g. Suppose c*t + 30 = a*t. Solve -14 = -t*f - 4 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2)\/(-7)*(-9 - -11). Which is the third biggest value? (a) -1 (b) r (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1\/454 - 921\/5902. Which is the second smallest value? (a) 5 (b) z (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 4583 (b) -5 (c) 0.01\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 2*h - 8. Let b(u) = u**3 - 4*u**2 - 4*u + 1. Let c be b(5). Let a be t(c). What is the first derivative of -4*j - 2*j**2 - 3 + a*j wrt j?\nAnswer: -4*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1178713 * 1.11.\nAnswer: 1308371.43","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -33 + -18?\nAnswer: -4b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3.2 + 4. Let u = t - 1.8. Do u and -3 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*1*sqrt(637) + (sqrt(637) + -1 + sqrt(637) + sqrt(637))*4)**2.\nAnswer: -840*sqrt(13) + 143341","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h = -6*t, h = -40193435*t + 40193440*t + 1 for h.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a + 2*n = -14 + 15, 3*a = n - 5 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 12521, 50085, 112683, 200309, 312957, 450621, 613295?\n\"Answer: -a**3 + 12523*a**2 + 2*a - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/4? (a) -5 (b) -1\/2 (c) 8\/3619\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (52\/2 - -2)*56\/28. Suppose -2*o = q - 64. Solve 4*h - o = 0, -2*s + 2*h = s + 5 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ntgnktakgnukakgkkgnt. Give prob of picking 1 a and 2 g.\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 15 + -1165. What is d rounded to the nearest one hundred?\nAnswer: -1200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -40 - -91. Suppose 5*r = 20, 4*b - 4*r = 5*b - i. List the prime factors of b.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) be the first derivative of -c**3\/3 + 125*c - 1. Let d(f) be the second derivative of f**4\/6 - 29497*f. Determine d(y(k)).\nAnswer: 2*k**4 - 500*k**2 + 31250","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 1, l: 4, j: 7, t: 2, a: 1, m: 4}. What is prob of sequence tmt?\nAnswer: 4\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in 0.3, -3, -1\/124?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 50301, 50312, 50337, 50382, 50453, 50556, 50697, 50882?\n\"Answer: l**3 + l**2 + l + 50298","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 251\/4 + -63. Which is the second biggest value? (a) -0.5 (b) o (c) -1\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 177587.\nAnswer: 257, 691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.9237442 rounded to 1 dp?\nAnswer: 9.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 15*g**4 - 22228775*g**3 + 24880*g**2 + 210*g - 3?\nAnswer: 360*g - 133372650","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1301*v - 1466*v - 197 = -32 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 120291784 is divided by 7518236.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 1 = -2*v, -3*v = -71*c + 69*c + 3. Let b = 32 - 29. Solve 3*s = 3*x - 6, -b*x + c = -0*x - 4*s for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + -2 + sqrt(320) + -4 + (((sqrt(30) - (sqrt(30) - sqrt(30)*-2)) + sqrt(30))*-5)\/(2*sqrt(384)))**2.\nAnswer: -399*sqrt(5)\/8 + 90749\/256","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -3*t**2 + 13*t - 7. Let q be j(3). Solve 0 = -8*f + q*f - 6 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -2*a**2 + 2. Let b be o(0). Solve 0*q + m - 1 = -b*q, 4*q - 7 = 3*m for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of o**3 + 22*o**2 + 915*o.\nAnswer: 6*o + 44","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 15633530 - 4?\nAnswer: 15633523","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 105 + -103. What is the third derivative of -91*n**x + 518*n**4 + 35*n**2 - 520*n**4 - 31*n**5 wrt n?\nAnswer: -1860*n**2 - 48*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1973723 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*s - 69587*s**3 + s + 3*s.\nAnswer: -69587*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.04 - 4.96. Which is the second smallest value? (a) 0 (b) r (c) 3 (d) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 52 + (20 - 12) + 5 + -41 - (14 - 1)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 11\/15 and (-31 - 0)*16\/(-82 - -2).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = b**3 + 12*b**2 - 12*b + 4. Calculate k(-13).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 44*p + 93 - 269. Let z(n) = 13*n + 16. Let m be z(p). What is the greatest common factor of 34 and m?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 3, i: 3, e: 5, s: 1, k: 2, t: 1}. What is prob of picking 1 z and 1 t?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mmqyqmqqgqymmqy. Give prob of picking 1 y and 3 q.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000137 to six dps.\nAnswer: -0.000014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 91443877 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -1552 (base 11) in base 16?\nAnswer: -7c9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.6 (b) -2\/5 (c) -2\/159 (d) 0.2 (e) -1 (f) 8 (g) -121\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-4 - -1)*(-4 - (-80)\/24). What is the thousands digit of 0 + 2 - (-2132)\/d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 94474 is divided by 4972.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -1, 312104.\nAnswer: -1, 3, 312104","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = j**2 + 6*j + 7. Let x be l(-5). Suppose 6*c = x*c. Suppose 2*v = -c*v + 6. Solve -3*n + 1 = v*b + 4, 5*b + 17 = -n for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -30.9598157 rounded to one decimal place?\nAnswer: -31","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j = -2*j. Let b be (5\/(-10))\/((-1)\/6). Let h = b + -3. Are h and j nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -773, -1581, -2441, -3371, -4389, -5513, -6761, -8151?\n\"Answer: -3*a**3 - 8*a**2 - 763*a + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 94*s + 79*s = 182*s. Which is smaller: -2\/437 or s?\nAnswer: -2\/437","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = p**3 + 13*p**2 + 29*p - 2. Let m be y(-10). Let r(x) = -x**3 + 2 - 27*x + m*x**2 - 13*x**2 + 27*x. Suppose h + 3 = -1. Give r(h).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 3*o**3 - 8*o**2 + 180*o + 2. Let m(i) = -i**3 + 6*i**2 - 180*i - 1. Determine -4*m(j) - 3*u(j).\nAnswer: -5*j**3 + 180*j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 33*g + 4. Let u(r) = 35*r + 3. Give 6*u(l) - 5*y(l).\nAnswer: 45*l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2601.\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 = 2*z - 37. Suppose -2*b + 5*g - z = -3*b, -3*b - g + 17 = 0. Find the first derivative of 8 + 10*s**4 + 4 - 2*s**b wrt s.\nAnswer: 32*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -73\/22 and 37\/982.\nAnswer: 10802","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1151 a factor of 165132819?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 529 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 57.\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6158 is divided by 23?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1600593*o**3 + 1043671*o**2?\nAnswer: -9603558","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*p - 5*p + 9. Solve z = -0*z + 2*n, -z = p*n + 5 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -46185 or -5069?\nAnswer: -5069","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 4\/5, 0.5, -5, -1\/7, 0, -3, 117 in ascending order.\nAnswer: -5, -3, -1\/7, 0, 0.5, 4\/5, 117","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4.99 - -0.01. Let c = 0.067 + 0.163. Let t = c - -3.77. What is the closest to -2 in t, w, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 6\/(-8) + (-91)\/(-52). Let f be h\/(-1 + 168\/172). Let m = -22 - f. Is m a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 990 - 21. What is the hundreds digit of a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -80*f + 168*f - 82*f.\nAnswer: 6*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 52270 + -15785513\/302. Let j = h - 10837\/453. Calculate the common denominator of 39\/8 and j.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1686540331 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 157*o - 4838. What is x(32)?\nAnswer: 186","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -r + 4. Let t be z(3). Let j = 434903 - 169177271\/389. Which is smaller: t or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x + 108*n = -0*x + 237, 4*x - 590*n + 78 = -593*n for x.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x = 12, -17 = h - 6*x + 9 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(468)*-3)**2 - (sqrt(1053) + (sqrt(1053) - -2*sqrt(1053)*1)))*-2*2.\nAnswer: -67392 + 144*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.063 in -1, 0.716, 12, -2\/13?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -s**3 + 16*s**2 + 17*s + 5. Let h be w(17). Let j = -6 - -8. Solve k + h = j*k for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 1 e when two letters picked without replacement from {v: 2, h: 5, e: 13}.\nAnswer: 13\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 708474.1ml?\nAnswer: 708.4741","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 3*i. Let b be 2 - (0 - 1)*748. Let u = 2255 - b. Let w(l) = -u + 1505 + 6*l**2. Determine w(o(t)).\nAnswer: 54*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1 - (6\/(-2) - -1). Find t such that -6*t + t**4 - 4*t**4 + a*t**4 + 3*t**4 - 9*t**2 = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 215741?\nAnswer: 443, 487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 345944?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = i**2 - 6*i - 19. Determine m(8).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 7*i = 4. Is i < 1\/25?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4 and 1666.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = m**3 - 82*m**2 + 645*m - 1107. Calculate c(73).\nAnswer: -1983","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = k**2 + 7*k - 4. Let x be p(-7). Suppose n = s + 7, -2*n + 0*s - 3*s = -14. Calculate the least common multiple of x\/14 - (-9)\/7 and n.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -209959898909\/3976 - -52806816. Let p = w - 2\/497. What is the closest to -2 in p, 0.1, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (f**2 - 2*f**2 + 3*f**2 + (f**2 - 2 + 2)*(0 - 1 + 0) + 0*f**2 - 2*f**2 + 4*f**2 + (86*f + 167 - 167)*(-3*f + 3*f + 2*f))*(7*f + 5*f + 11*f).\nAnswer: 4025*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 69549161.\nAnswer: 11, 41, 154211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*w = -8*w - 18. Let r = -10 - -13. Solve -5*z - 2*q + r = w, 9 = 3*z - 3*q for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 8350790?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 11 + -39. Let w = 39.5 + t. What is w rounded to zero dps?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-33)\/121*(-6578)\/138.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 4, 2, -2, 3.\nAnswer: -2, -1, 2, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2255*l**2 + 3115*l**2 - 5582*l**4 + 5350*l**2 wrt l?\nAnswer: -133968*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -z**3 - z**2 - 3*z + 12304. List the prime factors of k(0).\nAnswer: 2, 769","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = g**3 - 15*g**2 + 14*g + 2. Let f = 18 - 4. Let q be y(f). Suppose -k = -q - 14. What are the prime factors of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-4)\/(-8) + (-26)\/4. Let r(f) = -4*f - 10. Let d be r(u). Suppose 3*k + y = -5, -4 = -3*k - 2*y - d. Solve -9 + k = -3*v for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*t + 5 + 2*t - 15)*(3 + 1 - 5) to the form f + l*t and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 46 + -68. Let z be (-28)\/126 - (-1 - q\/(-18)). Suppose 2*f - 5*h - 238 = 0, -5*h + 6 = -z*h. What are the prime factors of f?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -2 (b) 0.3 (c) -30 (d) -7\/3 (e) -120\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-1\/2))**(-21)\/(j**(-5)*((j\/j**(-2\/17))\/j*j)\/j*j) assuming j is positive.\nAnswer: j**(489\/34)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 1416*q**3 + 84*q**2 + 21*q. Let k(o) = 708*o**3 + 43*o**2 + 10*o. Let f(p) = 2*j(p) - 5*k(p). What is the third derivative of f(s) wrt s?\nAnswer: -4248","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1220230 (base 5) to base 15\nAnswer: 6d10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w = 3*g - 4*g + 9, 0 = 4*w - 5*g - 13. Let j be (-3)\/w - 5128\/(-3248). Let p = -6\/29 - j. Which is the nearest to -1\/3? (a) -5 (b) 0.2 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = r + 5, 0*d + 3*r + 7 = -d. Let v = 9\/4 - d. Let b = 0 + -0.07. Is b <= v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 12\/(-8)*152\/(-12). Let l = -11 + o. Let u be 101\/2 - 4\/l. Calculate the highest common divisor of u and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 5 - 1050?\nAnswer: -1044","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -26 + 33. Let p = f - 7.2. Which is smaller: p or -0.01?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*4*((sqrt(800)*-4)\/(1*2*sqrt(10)) + 1).\nAnswer: -4 + 32*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Convert 216 (base 7) to base 5.\nAnswer: 421","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3539 is divided by 1108?\nAnswer: 215","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 23 = 5*o, 0*o - 14 = -4*o + 2*m. Suppose -o*v = -14 - 2. Solve 3*j = v*h - 8, 0 + 15 = -4*j + h for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*a = 2*o - 27, -2*a = -3*o + 4 - 1 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 42\/(-2)*((-1140)\/(-45))\/38\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -u**2 - 5*u - 2. Let q be g(-4). Let v be q\/9 - 23\/(-18). Let s(l) = -l - 3. Let d be s(-8). Sort -5, d, v.\nAnswer: -5, v, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 32\/369 and 89\/15?\nAnswer: 1845","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -1169*b**2 + 126*b + 2. Let z(o) = 47*o**2 + o. Let i(h) = 2*c(h) - 6*z(h). What is the second derivative of i(g) wrt g?\nAnswer: -5240","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6 - (-2 - 1 - 4)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8702, 8, 2, -1 in ascending order.\nAnswer: -8702, -1, 2, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1 - -3. What is the second derivative of j**5 - d + 3*j + 5 - 1 wrt j?\nAnswer: 20*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-12)\/(-32)*1*16\/(-24).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 32 divide 5575?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(1100))**2 - (-2*sqrt(11)*3)**2.\nAnswer: 704","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of l**2 - 9816*l - 13163 wrt l?\nAnswer: 2*l - 9816","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uslsiyl. Give prob of sequence su.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = 72*g - 6*g - 345. Let u = 115\/984 + 1\/123. Which is the second biggest value? (a) g (b) -13\/4 (c) -2 (d) u\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*n**2 - 13*n**2 - 760 + 7*n**2 + 6*n**2 - 756*n.\nAnswer: 4*(n - 190)*(n + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 112 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: In base 16, what is -1ef + -272?\nAnswer: -461","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 8) to base 12\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 7 - 66217*s**2 - 11 + 14*s + 66223*s**2 as r*s + v*s**2 + o and give v.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x**(-8)*x)\/x)**4 assuming x is positive.\nAnswer: x**(-28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -11 + 11. Find the third derivative of d*w**2 + 5*w**3 + w**3 + 2*w**2 + 0*w**2 wrt w.\nAnswer: 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y, 1 l, and 1 u when three letters picked without replacement from {q: 9, l: 1, u: 1, t: 4, y: 4}.\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5898019cm in kilometers?\nAnswer: 0.000005898019","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 52, 170, 350, 592, 896, 1262?\n\"Answer: 31*q**2 + 25*q - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 43434\/77 or 563?\nAnswer: 43434\/77","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (-10 - 38 + 22)*(5 - 5 + 6*m**2 + (2*m - 5 + 5)*(-2*m + m + 2*m)) in the form g*m + d*m**2 + q and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3030 is divided by 1495?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -1710438 <= -1710466?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 15 = -8*x. Let l(q) = 3*q**2 + 3*q. Is 9 a factor of l(x)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 28*h - 670. Let c be g(24). Solve 6*z - z = 3*i - 7, c*i = z for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 36 + 47*k**3 + 50 - 86.\nAnswer: 47*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -110 = -2*s - 3*s. Suppose m + 5*k = -s, 0 = 5*m - k + 2*k - 10. Do 2 and m have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = o + 9. Let i be v(-6). Let m be (-1)\/1 + i\/(-9). What is the second biggest value in -3, -5, m?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (166*o - 23*o + 98*o - 59*o)*(18*o + 15*o + 17*o) in the form r*o + t*o**2 + i and give t.\nAnswer: 9100","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wwu when three letters picked without replacement from {w: 2, z: 1, u: 1, r: 2}?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -2*u**3 + 54*u**2 - 51*u - 22. Let g be r(26). What is the nearest to -0.065 in -5, g, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 280174.\nAnswer: 2, 19, 73, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -197\/780 + 1\/390. What is the closest to 0.3 in -4\/7, h, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.2, 562, -681, 2\/21, 0.05?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -505, -1062, -1619, -2176, -2733?\nAnswer: -3290","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 0 - ((-8)\/(-6) - 2). Let o = 0.4 + -0.2. Let u = 0.3 - 0.3. Which is the closest to u? (a) -0.3 (b) o (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 3*l**2 + 2*l - 1. Let h be d(-2). What is the first derivative of -32 - 31*k**4 + h - 29*k**4 + 64*k**4 wrt k?\nAnswer: 16*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 - 6 = -3*h. Suppose -5*c = -5*j + 45, 4*c + 37 = h*j - c. Solve n - 1 = -j for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 25\/14*175\/150 and ((-6)\/(-15))\/(3 + (-4941)\/1575).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -10016 by 44013.\nAnswer: -10016\/44013","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 702 minutes before 4:51 PM?\nAnswer: 5:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 2*u**2 - 19*u - 20. Let d be j(11). Let o(p) = -p**2 + 12*p + 8. Let i(a) = -a**2 + 12*a + 7. Let v(f) = 5*i(f) - 4*o(f). Give v(d).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 871356?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 47\/143 and -139\/759798?\nAnswer: 8357778","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 40229 and 7698517.\nAnswer: 821","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 18 - 26.5. Let r = 0.5 + f. Let n = r - -5. Is n smaller than 0.2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -546, -514, -482, -450, -418?\nAnswer: -386","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 10 + 2 = 0. Suppose -2*h = 3*n - 56, 3*h - u*n - 62 - 22 = 0. Suppose -71 = -z - h. Calculate the remainder when z is divided by 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) be the first derivative of 2*r**3\/3 + 643*r**2\/2 - 10114. Let w(j) = j. Calculate s(w(a)).\nAnswer: 2*a**2 + 643*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 + 21035*t + 21266*t - 42528*t as q + h*t and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 6*v**3 - 2*v + 1. Let a(t) = 3 - 4 - 5*t + 6*t + 2. Let c be a(0). Does 2 divide u(c)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*u**2 - u + u - u**2 + 0*u + 0*u + (-2*u + 1 - 1)*(u + u + 0*u) + (-2 + 15*u - 343*u - 622*u)*(-2*u + 4*u - u) in the form i*u + q*u**2 + b and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 3919940*t**4 + 1782360.\nAnswer: 15679760*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/2 of a microgram in nanograms?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by -108\nAnswer: 5\/108","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -18 - -8228?\nAnswer: 8210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 3 = 3*r + 20, 2*l = 4*r + 14. Let j be 3\/r*(-2 - -2). Let v be 1 - j - 48\/(-12). Which is the third smallest value? (a) -3 (b) 0.5 (c) 1 (d) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 7*t - 3. Let y(z) = 2*z - 1. Let c(h) = 2*s(h) - 6*y(h). Let x(b) be the second derivative of 0 + b + 0*b**2 - 1\/6*b**3. What is x(c(q))?\nAnswer: -2*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -60101 or -60111?\nAnswer: -60101","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -a**2 + 2*a + 2. Let f(z) = -3*z**2 + 10*z + 71. What is f(o) - 4*t(o)?\nAnswer: o**2 + 2*o + 63","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 14, 45, 132, 305, 594?\n\"Answer: 5*t**3 - 2*t**2 + 2*t + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 979.\nAnswer: 11, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10 - -10001000111?\nAnswer: 10001000101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -160 = -f - m, 3*f + 480 = 6*f + 5*m. Suppose 2*k = -2*w + f, -k - 13*w + 15*w = -80. Calculate the remainder when k is divided by 45.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/(3\/9*9)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1668 - -1713. What is the remainder when h is divided by 3*(-4)\/(-24)*28?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 495929, 1, 46 in ascending order.\nAnswer: 1, 3, 46, 495929","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 1 l when two letters picked without replacement from {y: 2, c: 2, l: 1, o: 1}?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 5*m - 6. Let i(w) = 3 - 4*w + 6 - 4. Suppose 0 = 5*v + 10, -u + v - 2 = -0. Calculate u*i(d) - 3*k(d).\nAnswer: d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 697082.9 days in minutes?\nAnswer: 1003799376","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 391273 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qoq when three letters picked without replacement from {q: 3, f: 1, m: 3, y: 1, o: 2, v: 7}.\nAnswer: 1\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 13 - 15 - ((-18)\/8)\/1. Let z = 15 + -9. Let j = z + -5.6. What is the nearest to 1 in j, -4, v?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.1 (b) 1 (c) 49 (d) -0.11 (e) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rarebebeeeaaabarsr. Give prob of sequence see.\nAnswer: 5\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 4*k**2 - 33*k. Let t(x) = 20069 - 20069 - x**2. Determine a(t(q)).\nAnswer: 4*q**4 + 33*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) be the second derivative of -w**3 + 2*w**2 - w. Let d(u) = u**3 + u**2 - 8*u + 7. Let b be d(2). What is r(b)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.7944744 micrograms to milligrams.\nAnswer: 0.0007944744","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2937 times 318?\nAnswer: -93.3966","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 2591453 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1294 + -1285. Solve w = 9*d - 27 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 24828?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000224444593 rounded to 6 dps?\nAnswer: -0.000224","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 29 to the power of 1\/4, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 78*p - 80*p - 2*u, -2*p - u = 10. Let m be (-6)\/7*(18\/p - -1). Determine s, given that 0*s - 1\/3*s**m + 2\/3*s**2 + 0 - 1\/3*s**4 = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -6*r**3 - 13*r**2 + r - 4. Let a(s) = -s**3 - s**2 - 1. Let v(q) = 5*a(q) - b(q). Let c be v(-8). Solve 0 = -g - 4*z - 8 - 0, 0 = 2*g - z + c for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -442, 103, 1016, 2303, 3970?\n\"Answer: x**3 + 178*x**2 + 4*x - 625","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 484*u = 858365 + 5594807. Calculate the highest common factor of u and 597.\nAnswer: 199","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 36 and 18?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00279814523 rounded to four decimal places?\nAnswer: 0.0028","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (6 - -1) + (0 - 1). Suppose 3*l = 2*p - 0*p - 6, 2*l + 4*p - 12 = 0. Suppose -2*f = -l*f - y. Solve 0*s + 3*s - 21 = -f*m, -m = -2*s - 1 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q - 23 = t + q, -4*t - 12 = 4*q for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) be the first derivative of -2*n**3 + 3*n**2 + 2. What is the second derivative of y(b) wrt b?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g, 1 r, 1 p, and 1 h when four letters picked without replacement from gghnnhgrpg.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7 - -2) + 9 - (221\/52 + 2).\nAnswer: -9\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 2*p**3 + 5*p + 5. Let j(u) = u**3 + 4*u + 4. Suppose 2*l = 5*x - 6 - 11, -4*x = -20. What is l*z(h) - 5*j(h)?\nAnswer: 3*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bb when two letters picked without replacement from bbbbbbbfbbffbb.\nAnswer: 55\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 20*j**2 - 8*j**2 + 12*j**2 as c*j + t + m*j**2 and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*x - 19 - 3 + 2*x + 3*x + 16 - x**2 to n + k*x + t*x**2 and give t.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = g**3 - 19*g**2 + 36*g - 43. Calculate x(17).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -3744448 divided by 234028\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/3? (a) -1\/4 (b) -2.5 (c) -1.4 (d) 2 (e) -0.31\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -d**3 + 14*d**2 - 5*d + 11. Let o(h) = -14*h**3 - h - 2. Let s be o(-1). Is 18 a factor of r(s)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 271.2583 rounded to the nearest one hundred?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ahe when three letters picked without replacement from eaehhhahva.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2174591 divided by -48.\nAnswer: -2174591\/48","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rrzrzzzrrzrzru. What is prob of sequence zzur?\nAnswer: 5\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4.648 - 30.538. Round z to the nearest integer.\nAnswer: -26","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*b**2 + 4728*b + 193284.\nAnswer: 3*(b + 42)*(b + 1534)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 104452794?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i = 42*o - 622, -6007023 + 6006982 = -i - 3*o for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of a**2*y**3 + 3*a**2*y**2 + 187*a**2*y + 226*a**2 + 1169389*a*y**3 wrt a?\nAnswer: 2*y**3 + 6*y**2 + 374*y + 452","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 + (37 - -7) - (-36 - -20)?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u = 5*p - 56, u - 4*p = -73 + 48 for u.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that -o**4\/5 - 784*o**3\/5 - 152877*o**2\/5 + 308898*o\/5 = 0.\nAnswer: -393, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = f**2 - f - 2. Suppose 46*u - 47*u = -8. Suppose -10*x - 4 = -u*x. Calculate w(x).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = q - 5. Let k be j(4). Let l(t) = -2*t - 1. Let v be l(k). Suppose 2 = n + v. Calculate the greatest common factor of 4 and n.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1\/6 - (-37)\/(-6). Calculate the remainder when 7 is divided by ((-4)\/k)\/((-6)\/(-27)).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = h**2 + 2*h - 11. Let y be b(-5). Suppose -y*f = -363 - 897. What is the units digit of (-4)\/5*f\/(-14)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = x**2 - 8*x - 1. Let i be p(4). Is -17 less than i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 81214327*w**4 + 34669542*w**2?\nAnswer: 1949143848*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*y - 3*y. Let s(m) = -m**3 + 4*m**2 + m - 5. Suppose 0 = 3*p - r - 8, 2 + 6 = 4*p - 2*r. Let w be s(p). Which is smaller: w or y?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 3*z - 21 = 0, -2*k + 7*k + 3*z = 11. Let f be k*(-2 - -5)\/6. Suppose 0 = -a - f*a. Solve a = h - 6*h + l - 15, -13 = -h - 3*l for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -89\/588 and -1\/187768.\nAnswer: 563304","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1.6 - -0.5. Let z = q - -0.5. Let w = z + 0.1. Which is the nearest to -2\/5? (a) -0.1 (b) w (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -115 + 139. Let -11*x**4 + 5*x + 32*x**4 + v*x**4 + 5*x - 35*x**5 + 25*x**3 - 45*x**2 = 0. What is x?\nAnswer: -1, 0, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3213125 (base 7) in base 11?\nAnswer: 24706a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 2124887786 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*f + 6 - 18. Let g(d) = d**2 - 4*d - 4. What is g(f)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g = -p + 34, -3*p + 7*p + 4*g - 232 = 0. Solve -21*v = p + 51 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -7*g**2 + 1. Let i be d(1). Let j(w) = -5*w**3 - 5*w**2 - 4*w - 9. Let l(a) = a**3 + a + 1. Let o(f) = i*l(f) - j(f). Determine o(4).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - 2) + 2 + -5 - -6?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 19b8c (base 16) to base 5.\nAnswer: 11332411","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 71 is divided by 38?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -5, -2, -31, -3 in ascending order.\nAnswer: -31, -5, -3, -2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -4702533\/8 greater than -587818?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3543\/14 - -256. What is the common denominator of 49\/8 and y?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 1, g: 3, z: 4, f: 12}. What is prob of sequence ggz?\nAnswer: 1\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 396 - 2256 = -124*h for h.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -17*t - 14. Let j(y) = -20*y - 14. Calculate 4*j(p) - 5*w(p).\nAnswer: 5*p + 14","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 59093 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fj when two letters picked without replacement from {s: 2, v: 1, n: 5, z: 1, j: 3, f: 1}?\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 50 + -17. Calculate the remainder when 63 is divided by g.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7369 is divided by 1225.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: ((-552)\/(-460))\/((-8)\/(-20))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 688\/399 - 34\/21. Let x = 2.8 - 1.8. Put o, x, 14, -2 in ascending order.\nAnswer: -2, o, x, 14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 35*l - 1211. What is the remainder when 825 is divided by b(36)?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-99)\/(-264))\/((18\/8)\/(-1))\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5 + -1. Let y = 77 - 74. Sort y, v, -3, 2\/19 in descending order.\nAnswer: y, 2\/19, -3, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 28453 and 42295.\nAnswer: 769","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 57 a factor of 36084\/3 + (-34)\/34?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -141 - -151. Solve 3*k + 17 = -r, -40 = 5*r + 4*k - d for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh biggest value in 1, -436, 8, -0.5, -5\/2, -3, -2\/11?\nAnswer: -436","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 1\/10*(-15)\/(-2)*(-1916)\/(-9101)\nAnswer: 3\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-10)\/(2 + 3) - 2. Let u be (-1 + p\/(-6))*-12. Suppose -2*t - 3*i + 57 = t, u*t - 46 = 2*i. Solve t = -4*g + 6 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.938042m in centimeters?\nAnswer: 293.8042","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 905, -10, 26 in descending order.\nAnswer: 905, 26, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*((-4*sqrt(26)\/sqrt(2)*-4 - (-1*sqrt(13) + -4 + sqrt(13))*6)*2*-1 + 0)**2.\nAnswer: -15616 - 3072*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 432*y**2 - 546*y**2 - 542*y**2 - 1010 wrt y.\nAnswer: -1312*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 509 - 509.5. What is the nearest to -3 in g, 2, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 4*g - 3. Suppose 2*p - 12 = -2*z, 6 + 12 = p - z. Calculate the least common multiple of j(3) and p.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 5*t**2 - t - 2. What is the remainder when 77 is divided by r(2)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -m. Let k(o) = -9*o**2 + 6*o. Let u(g) = -g**3 + 2*g**2 + g - 1. Let h be u(2). Let w(c) = -c**2 + c. Let a(r) = h*k(r) - 6*w(r). Give d(a(n)).\nAnswer: 3*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1457378799 to the power of 1\/2, to the nearest integer?\nAnswer: 38176","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 14760269 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 54*l + 34. What is g(2)?\nAnswer: 142","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 9694575 a multiple of 33?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 4*k + 12. Suppose 0 = -8*z + 11*z + 9. Let c be g(z). Solve c = 5*v - 2*v + 4*n - 19, v + n - 5 = 0 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -2 + -2011?\nAnswer: -2013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h = -y - 4, -3*y - 34 = -0*y + h. Let o be (-2)\/6 - 148\/y. Let x(t) = t**2 - 7*t - 4. Let k be x(8). What is the highest common divisor of k and o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 3\/550 and -95\/6.\nAnswer: 1650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 39 = -33. Suppose 0 = -2*d - u + 55, 2*u - 29 = -a*d + d. Suppose -6*n + 3 + d = 0. Let r(y) = -y - 1. Determine r(n).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r**4 - 552*r**3 + 6717*r**2 + 71532*r + 64260 = 0. What is r?\nAnswer: -6, -1, 21, 170","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a kilometer in centimeters?\nAnswer: 20000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 5186550463 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 - 0 - ((5 - 1) + 0 + -1)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -12*m**3 + 12*m**3 - 13*m**3 + (-4*m + m + 1 + 4*m)*(3*m - 3*m - 2*m**2).\nAnswer: -15*m**3 - 2*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1976 divided by 6.\nAnswer: -988\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6600 is divided by 133?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -5927*x + 42117. What is j(7)?\nAnswer: 628","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = -2*a + 1, -4*n + 3 - 6 = -3*a. Suppose m + 3 = 4*j + 16, 5*m = -n*j - 27. What is the nearest to 2 in -5, 2\/5, j?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k = -13 - 3. Suppose -g - 16 - 18 = k*x, 2*x = -4*g - 80. Let j be 4\/(-18) - 112\/g. Solve -4*o + j*o + 4 = 0 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.06 and -3.2.\nAnswer: -0.192","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 476?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 40 - 46 - (-1 + -37). Find the third derivative of z*u - 164*u**6 + 22*u - 52*u - 78*u**6 - 12*u**2 wrt u.\nAnswer: -29040*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 10902 and 2691?\nAnswer: 425178","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sum -11831 and -1027241.\nAnswer: -1039072","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 21385212?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1119259 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 54850, 54697, 54554, 54421?\nAnswer: 54298","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-27 + 117 + 57)*(2*x + 4 - 4) to z*x + n and give z.\nAnswer: 294","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (27 + (-30625)\/1134)\/((-3)\/36)?\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = 2*a - 6*a. Suppose a*s + 1 = -4. What is the nearest to s in -4\/7, -1\/8, 2\/17?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 143 divide 49956805?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Let x = -24597 + 24673. Let o = 6 - -2. What is the remainder when x is divided by o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (((-3)\/2)\/3)\/(-1). Let y = 25.8 - 26. Put c, y, 1\/4 in descending order.\nAnswer: c, 1\/4, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2501 is divided by 2277?\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 2*v - 4. Let w be f(-5). Let z be 6\/(-21) + (-60)\/w. Which is the third biggest value? (a) 3\/2 (b) 0.1 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = p**3 + 6*p**2 + 4*p - 6. Suppose 6*m - 4*m = -10. Let j be h(m). Let k be (2\/18*3)\/j. Sort k, -1, 4 in increasing order.\nAnswer: -1, k, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15 - 4 - 4 - 8 - 15*s.\nAnswer: -15*s - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:16 AM and 10:36 AM?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3 - -7. Suppose -z - 21 = -5*d. What are the prime factors of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 140 - -42?\nAnswer: 222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -16 + 14 - (-13 + 9).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 1973885, 3947772, 5921663, 7895558, 9869457?\n\"Answer: 2*t**2 + 1973881*t + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-73)\/(-438) + (20\/3)\/(-4)?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 132*r + 1919. Give z(-12).\nAnswer: 335","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1090542?\nAnswer: 2, 3, 181757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4207 + 9146 - 26239 = 627*z + 11931 for z.\nAnswer: -53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r + 3*v = 5, -2*r + 19 + 16 = -5*v. Put r, -4, 12 in decreasing order.\nAnswer: 12, r, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 2, 5.\nAnswer: -2, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-5 - -1)*(2 + (-57)\/12). Let d(t) = -14*t - 9 + 9*t - 9*t**2 - 13*t + 4 + t**3. Calculate the smallest common multiple of 9 and d(a).\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-16)\/40)\/((-18)\/10). Which is smaller: n or 1?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 496 and 704.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -0.05776 times 63\nAnswer: -3.63888","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 6812.008 nanometers in centimeters?\nAnswer: 0.0006812008","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 25 = -2*w, -5*o + 26 = -3*w + 73. Let h = 222 - 219. Solve p - g - 4 = -0*g, -5*p + w = -h*g for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 339*y**2 - 6 + 193*y**2.\nAnswer: 532*y**2 - 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 0*n + 42 = -4*n, -4*b - 2*n + 34 = 0. Let p(q) be the first derivative of 10*q**3\/3 - 5*q**2 - 3*q - 1. Is p(b) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -5.83001064 to four decimal places.\nAnswer: -5.83","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 10*i**4 + 3072*i**3 + 231570*i**2 - 672700*i.\nAnswer: 2*i*(i + 155)**2*(5*i - 14)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y when two letters picked without replacement from lmnmnylmmnmmynmnyy?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2 - (-332)\/20 - (-6)\/(-10). Suppose -x*f + 5*f = -39. Solve -3*n + q - 1 = -n, -2*n + 19 = f*q for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when -6 + ((-37240)\/(-320) - 3\/8) is divided by 76?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 19 + 17. Let x = -35 + h. Which is bigger: 12 or x?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m = -90*v + 87*v + 12, 3*m + v = -16 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1220200021221 - -10?\nAnswer: -1220200021211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -3*r - 77. Let q be f(-24). Let m be (5 - (-7 + 5)) + q. Is -3 at most m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 61\/1002 and 4\/33.\nAnswer: 11022","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = d**3 + 3*d**2 - 3. Let k(t) be the first derivative of -3*t**4\/4 - 7*t**3\/3 + 7*t + 14. Let h be (-56)\/((-4)\/1)*(-6)\/12. Determine h*q(r) - 3*k(r).\nAnswer: 2*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -5643 rounded to the nearest 100?\nAnswer: -5600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 807056 is divided by 32?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 24\/5*w**3 + 3\/5*w**4 + 0*w - 81\/5 + 54\/5*w**2.\nAnswer: 3*(w - 1)*(w + 3)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -108855, -217819, -326783, -435747?\nAnswer: -544711","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = -2*u. Suppose -4*b + t - 99 = u, -2*b + 0*b = -4*t + 60. Let k = -12 - b. Solve x = 5*x - 4*w - k, -2*w = 5*x - 22 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-882)\/4860 + (-29)\/(-870)?\nAnswer: -4\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 + 6*t**3 - 6)*(-t + 5*t - 5*t) - 9087*t**3 + 9087*t**3 + 30*t**4.\nAnswer: 24*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hhphhphhhw. Give prob of picking 1 p and 2 h.\nAnswer: 7\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*g = -4*g + 9 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1924.686l in millilitres?\nAnswer: 1924686","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 6*z - 16. Let o be y(3). Solve -o*p = -u - 2*u + 17, 2*p - 18 = -4*u for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1830791.92 to the nearest ten thousand.\nAnswer: -1830000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-6)\/20)\/((-15)\/(-20)). Is -1 != c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -3*m**2 + 113*m + 680. What is a(42)?\nAnswer: 134","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -440*h - 2622. Let u be v(-6). What is the greatest common factor of u and 50?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve i + 8 - 7 = 3*j, 16 = 4*i - 2*j for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at most 302537?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m and 1 l when three letters picked without replacement from lmlmplllll?\nAnswer: 7\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2)\/(-11) + 1920\/88. Suppose 0 = 6*z - 11*z - t + 116, 3*t - 49 = -2*z. Solve -z + l = -k for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 2896?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 670 minutes after 8:01 AM?\nAnswer: 7:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 3, o: 13}. Give prob of picking 1 s and 2 o.\nAnswer: 117\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = u. Let m(r) = -r**3 + 2*r**2 + 4*r + 1. Let z be m(3). Let k = 1 - -2. Let q(h) = k*h - h - h - 2*h. What is z*q(v) + 5*c(v)?\nAnswer: v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -1*411\/36*(-10)\/(-15) and 37\/20.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-16)\/(-28)*(5355\/18)\/5. Solve q - 54 = 5*l for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) be the third derivative of -2*i**5\/15 - 340*i**2. Let d(w) = -5*w + 4. Calculate p(d(b)).\nAnswer: -200*b**2 + 320*b - 128","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -44*-33*(-6)\/(-264)\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h + h = 3*k + 13, 2*k + 2*h - 10 = 0 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -15.2 + 15. Which is smaller: -10 or q?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*n**4 + 2*n**4 - 2*n**4)*(n - 5 + 5) + (-n**2 + 4 - 4)*(-121*n**3 + 180*n**3 - 216*n**3) + (n**2 - n**2 - 2*n**3)*(3*n**2 - n**2 + 0*n**2).\nAnswer: 151*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -q**2 + 6*q - 1. Let c(d) = -d**3 + 3*d**2 - 4*d + 3. Let t be c(2). Let y be -1 + t*(-9 - 2). Suppose u = -u + y. What is g(u)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = z - 15. Let t be y(30). Solve -5*w = -5 + t for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 30\/25 + (-2556)\/2205. Let l = -435405043\/245 + 1777166. Let y = m + l. Is y less than 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -48 * -14989.95\nAnswer: 719517.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) be the third derivative of 57*z**6\/40 + 3979*z**5\/60 + 1245*z**2 - 2. Find the third derivative of u(c) wrt c.\nAnswer: 1026","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.08 + -96813453572.\nAnswer: -96813453572.08","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 136179591 to the power of 1\/7, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 40811020.4 to the nearest one million.\nAnswer: 41000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p**1)**7\/((p*p**(-6\/7)*p)\/(p\/(p\/(p*p**(1\/4)\/p)))))\/((p**(-1\/3))**(-4\/17)\/(p**(-7)\/p*p**(-7))) assuming p is positive.\nAnswer: p**(-2815\/1428)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 61.893 - -0.107. Let x = c - 11. Which is greater: x or -4?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that -964661481*w**5\/4 - 9461367*w**4 + 241072497*w**3 + 18922731*w**2\/2 + 371493*w\/4 + 3\/2 = 0.\nAnswer: -1, -1\/51, -2\/123627, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*q - 3*q - 111 = 0. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gg when two letters picked without replacement from {g: 3, l: 5}?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1105 by -5.\nAnswer: -221","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nnsssswwsssslq. Give prob of sequence sn.\nAnswer: 8\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f when two letters picked without replacement from {q: 3, f: 3}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 2938, 5855, 8772, 11689, 14606, 17523?\n\"Answer: 2917*c + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = h + 5. Let f(v) be the second derivative of -v**5\/20 + 7*v**4\/12 + v**3\/6 - 18*v. Let r be f(7). Let b be g(r). Which is greater: b or 11?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 3 = -14. Suppose 0*a + 5*j = 3*a + o, -19 = 4*a - 3*j. What is the tens digit of ((-68)\/a)\/(1\/1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -334, -1416, -3196, -5656, -8778, -12544, -16936, -21936?\n\"Answer: 3*v**3 - 367*v**2 - 2*v + 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 2*r**2 - 10*r + 29. Let d be i(5). Suppose -p + 6*p - d = -h, -10 = -2*p - 2*h. Calculate the remainder when 2\/p*(36 + -27) is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 560813, 560790, 560767, 560744, 560721?\nAnswer: 560698","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (974*o + 131*o + 641*o)*(3 + 0 - 4)*(-5*o + 3 - 3).\nAnswer: 8730*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -4993 minus 3.183?\nAnswer: -4996.183","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a milligram in nanograms?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 2449 - 1793 = -2*b, 0 = 2*l - 2*b - 2136. List the prime factors of l.\nAnswer: 1063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 40 and 9160.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -92*r**2 + 2300*r + 5. Calculate t(25).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 1 - 5)*(-y**3 + 0*y**3 + 0*y**3 + (-8*y - 24 + 24)*(-3*y**2 - y**2 - y**2) - 3*y**2 + 3*y**2 + 2*y**3).\nAnswer: -328*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:43 AM and 5:04 PM?\nAnswer: 501","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5 * -49.\nAnswer: 245","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -200211120 (base 4) to base 2.\nAnswer: -100000100101011000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.2 and -147.9.\nAnswer: -29.58","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 12219?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 106cd + -70b?\nAnswer: ddc2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1421 + 45?\nAnswer: -1332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 17*r**2 + 324*r + 33. Let s(w) = 6*w**2 + 108*w + 12. Give 4*n(y) - 11*s(y).\nAnswer: 2*y**2 + 108*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5 in 0, -0.02, -26?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) be the first derivative of -s**4 - 6*s + 3*s**2 - 5\/3*s**3 - 7. Let c(w) = -w**3 - w**2 + w - 1. Calculate -6*c(q) + d(q).\nAnswer: 2*q**3 + q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -29*w**3 - 1. Let c(a) = a**3 - 7*a**2 - 78*a + 1. Let f be c(13). Determine q(f).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -20003 - 0?\nAnswer: -20003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/4 in 18, -5, -40?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 4*i - 28 = 0, 189 - 182 = 5*f - i. Solve f = 3993*d - 3996*d - 15 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.3117358 months to years.\nAnswer: 0.19264465","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 192 divided by -4?\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*4\/(-24)*5\/(-5).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = 49 + 16. Let c = 40 + a. What is the units digit of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 31 + -28. Suppose -4*i = 3*r - 1291, 0 = l*i + i - 2*r - 1266. What is the greatest common factor of 29 and i?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 274, 557, 838, 1117, 1394, 1669, 1942?\nAnswer: 2213","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 162410681 a multiple of 1945?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 1697, -1.\nAnswer: -1, 4, 1697","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(((-4*(-1 + sqrt(300)))**2*4 - ((0 + sqrt(300))*2 + sqrt(300))*4) + -1)*-5.\nAnswer: -192630 + 14000*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -61639 <= 95?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1108979 - 4098786355\/3696. Find the common denominator of f and 52\/231.\nAnswer: 3696","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 192*f + 2172*f + 905*f as a + r*f and give r.\nAnswer: 3269","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/x**(1\/3))**(-11\/2)\/(((x**(-1\/6)*x)\/x)\/x*x*x**(-1\/3))*x\/(x*x*x\/x**(1\/4))*x\/(x*x**2)*x\/(x\/x**(-5\/2))*x**(-4\/7) assuming x is positive.\nAnswer: x**(-839\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -250 = -3829*b + 3804*b for b.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 10 + -7. Suppose s - 10 = -n + 5, -n = f*s - 41. What is the remainder when s is divided by (-1)\/(12\/15 - 1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19 = h + 4*y, 5*h - 495 = 3*y - 492 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1, -1, -115\/103, 1\/2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -562 (base 11) in base 14?\nAnswer: -361","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.002? (a) 1 (b) -0.06 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 190*j - 221. Is z(12) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 5 - -417717667?\nAnswer: 417717673","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*m + 4*t = -4*m - 3200020, 3*t + 15 = 0. Round m to the nearest one hundred thousand.\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-3*2\/8)\/(3\/(-12)). Suppose 3*n = 7*n + 4, -4*s = -5*n + p. Let y be (0\/(-2))\/(1\/(-1)). Sort s, y, 4 in descending order.\nAnswer: 4, y, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 14 - -32. Let d = l + -40. Suppose -5*p = 0, 5*z - 5365 = 11*p - d*p. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -423712*q - 55929977. Calculate b(-132).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 2*s**3 - 19*s**2 - 10. What is w(9)?\nAnswer: -91","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 64*c**2 - c. Let k be v(1). Let f(m) = -2*m**3 + 153*m**2 + 188*m + 3623. Let o be f(78). What is the highest common factor of k and o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 164, 706, 1614, 2882, 4504, 6474, 8786, 11434?\nAnswer: 14412","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.025*-5569651.\nAnswer: -139241.275","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3*g**3*s - 299*g**3 + g + 21*s**2 with respect to s.\nAnswer: -3*g**3 + 42*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 4513554129?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8966*q - 8881*q - 2465 = 0 for q.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -196*g**4 + 112*g**3 + 180*g**2 - 112*g + 16 = 0. What is g?\nAnswer: -1, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -f + 7. Let x be s(6). Suppose 3 = -2*z + x. Does 11 divide (z - -3)*11\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:11 AM and 4:24 PM?\nAnswer: 553","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:22 AM and 8:37 AM?\nAnswer: 135","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.949, 3, -222\/41 in decreasing order.\nAnswer: 3, 0.949, -222\/41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.105 times -9.53?\nAnswer: 1.00065","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 41 - 122\/3. Let l be 4 + 3 - (100\/10 + -5). Suppose -t*d**4 + 1\/3*d - d**l + 0 + d**3 = 0. What is d?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11489?\nAnswer: 11489","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 2, b: 4, l: 1, o: 8}. What is prob of sequence obpp?\nAnswer: 8\/4095","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37*j + 112 = -23*j. Let r = 12 + -8. Solve -r*k - j = 3*y - 2, 6 = -5*k - 3*y for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 divided by 11?\nAnswer: -9\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 12561611 to the nearest 100000.\nAnswer: 12600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -2*m - 18. Let i(u) = -u + 8. Let n(w) = 2*i(w) + z(w). Let a(p) = -4*p. Let x be a(1). Determine n(x).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7674, -25008, -53898, -94344, -146346, -209904, -285018?\nAnswer: -371688","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 15597\/9079 or 2?\nAnswer: 15597\/9079","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 6492?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*k**2 + 120 + 146*k - 220 + 102)*(7 + 4 - 6).\nAnswer: -10*k**2 + 730*k + 10","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 + -2 + (-11 + 2 - (39 - 37))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = h**3 + 2*h**2 - 2*h. Let s be f(2). Let d = -8 + s. Suppose 14 - 86 = -d*i. Is 6 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(171) + 0) + sqrt(19) + (sqrt(114) + (sqrt(114) + (sqrt(114) - -2*sqrt(114)) - sqrt(114)))\/sqrt(6) + 2)**2 - (2*(-1 + sqrt(304) + 5) + 5).\nAnswer: -36*sqrt(19) + 922","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 45\/8 of a centimeter in micrometers?\nAnswer: 56250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = g**2 - 5*g - 9. Suppose -22 = c - 29. Let d be u(c). Suppose -3*m - 5*v = -483, 43 = -4*m + d*v + 687. List the prime factors of m.\nAnswer: 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -272, -491, -710?\nAnswer: -929","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1 - -6. Suppose 304 = f + o*u, 4*u = 3*f - 0*u - 893. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -415361333 + 1?\nAnswer: -415361332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 948*z**2 - 50225*z - 993. Determine u(53).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -3 (b) -3\/4 (c) 7636263\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: What is 20695.51 millilitres in litres?\nAnswer: 20.69551","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1399\/28 + -201\/4. What is the fourth smallest value in 3\/2, -11, 0.2, g?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 17*h**3 + 3*h**2 - 4*h + 4. Does 18 divide d(2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*f - 16, 4*s - 212 = 2*s - 3*f. Find the second derivative of -8 + s*d**4 - 3 + 6 - d wrt d.\nAnswer: 1200*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 3 + -17203?\nAnswer: -17200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -s**3 - 10*s**2 - 25*s + 2. Let a be p(-6). Suppose -5*j + 29 = a*u - 6*u, 4*j = -u + 22. Solve 9*k = j*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -n**3 - 6*n**2 + 11*n + 16. Suppose 5*c + 28 = 3*u, 0 = 19*c - 16*c - u + 20. Let z be r(c). Calculate the greatest common divisor of z and 56.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 409?\nAnswer: 409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3, 447, 207.2, 0.3?\nAnswer: 447","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2813911 - 0.55.\nAnswer: -2813911.55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 82\/110979 and -11\/30267?\nAnswer: 332937","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1031150604 and 18?\nAnswer: 3093451812","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12151)\/522 - 145\/(-522)?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -27 - -22. Let p = -12.2 + 12. What is the second smallest value in p, w, -0.02?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2282 - 2286. Let w be 2\/8 + (-78)\/(-8). What is the closest to 2\/7 in 0.4, w, n?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2728 and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (6 + 0)*(-11676)\/(-9)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -28*2.7\nAnswer: -75.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) be the second derivative of t**4\/9 - 2*t**3\/3 + 4*t**2\/3 - 28*t. Factor u(l).\nAnswer: 4*(l - 2)*(l - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.5 (b) -130\/7 (c) -4 (d) -2\/11 (e) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 7 + -20. Let a = o + 14. Let f = -0.99951 + a. Round f to four dps.\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 9286411*n**3 + 112*n**2 - 3959*n - 4 wrt n?\nAnswer: 55718466","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 54265 (base 7) to base 11.\nAnswer: a183","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1143889 is divided by 262.\nAnswer: 259","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -48 - -69. Let m be ((-24)\/(-14) - 2) + 489\/q. Suppose -30*s + m*s = -308. Calculate the highest common factor of s and 33.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -658*s**2 + 13*s + 3*s + 425 - 9*s - 7*s wrt s?\nAnswer: -1316*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/2, -589, 0, -3\/2, 4, -4 in increasing order.\nAnswer: -589, -4, -3\/2, 0, 1\/2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3232 and 448036.\nAnswer: 404","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -1 + -1 + 11 + -3. Let t(q) = q**3 - 6*q**2 + 3*q - 9. Let b = -6 - -12. What is the smallest common multiple of b and t(r)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 t and 1 f when three letters picked without replacement from xzfttgzx?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lxlpglplxggxp. Give prob of sequence pgpp.\nAnswer: 3\/2860","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k - 5*r + 16 = 0, 2*r + 2457 - 2467 = 0 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 8 and (-39)\/(-4) - 2\/(-8)?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -84*h + 26*h + 36*h + 26*h.\nAnswer: 4*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 6 (b) -4\/9 (c) 26 (d) -3\/5 (e) 1\/2 (f) -1\/8 (g) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = c**2 - 2*c - 3. Let q be x(3). Suppose 5*r - 7 - 8 = q. Let k be 2\/(4\/42*r). Solve 3*u + k = -8 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 + 795*j - 859*j + 23*j**2 - 25*j**2 + 1473*j + 1600*j to the form a*j + u + t*j**2 and give a.\nAnswer: 3009","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve q = 19*l - 17*l - 4, 5*q = -l - 20 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3445\/9 + 377. Calculate the common denominator of k and -6*1 - (100\/(-44) + -5).\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 212528190?\nAnswer: 2, 3, 5, 7, 144577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 466556?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 6\/14 - (-3 + (6 - (-544761)\/(-49))) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 685420 is divided by 241?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2128 and 1330?\nAnswer: 10640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -18*k + 13. Let s(z) = -3*z + 2. Let x(o) = -6*d(o) + 39*s(o). Let v(y) = -2*y. Give x(v(p)).\nAnswer: 18*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -4 - 2c?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (33 + -53 - -25) + -21 - (1 + -3 + -7)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 296 = 7805*g - 7731*g for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -11c40 + 45?\nAnswer: -11bc8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = v**2 + 12*v - 104. What is j(7)?\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2324260.\nAnswer: 2, 5, 251, 463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 2 (b) -2\/31 (c) -8964 (d) -0.2 (e) 195\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find q such that -2\/3*q - 8\/3*q**2 + 0 = 0.\nAnswer: -1\/4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 22256\/(-169) - ((-140)\/52 - (11 + -14)).\nAnswer: -132","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does -779 = -725?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -39839.8 + -190?\nAnswer: -40029.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1201832, -1202096, -1202360, -1202624?\nAnswer: -1202888","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -31*s**3 + 6*s**2 - 5*s - 98. Let z(k) = -16*k**3 + 3*k**2 - 3*k - 49. Let h(i) = -3*d(i) + 5*z(i). Differentiate h(l) with respect to l.\nAnswer: 39*l**2 - 6*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -97, -397, -635, -781, -805, -677, -367, 155?\nAnswer: 919","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -10 - -153237165?\nAnswer: 153237155","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -1878*x**3 + 28*x**2 + 135*x + 13. Is d(-4) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3537369871 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 67143, 67149, 67175, 67233, 67335, 67493?\n\"Answer: 2*m**3 - 2*m**2 - 2*m + 67145","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19539426?\nAnswer: 2, 3, 17, 191563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 6*k**2 - 118*k + 270. Let f be l(17). Let t be 22\/(-10) - 1\/(-5). Let v be 6\/t*2\/6. Are f and v nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 420 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 41 divide 227296289?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*t*z**3 + 75*t*z**2 - t + 18*z**3 wrt z.\nAnswer: -12*t + 108","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Are -23\/3113 and -1 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 1, m: 1, o: 2, u: 1}. What is prob of sequence omu?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -0.1+11125271894245\nAnswer: 11125271894244.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2 + 2 + 0)*(o + o - o) + 3*o - 2*o - 2*o)*(0*o + o + o)*(9*o**2 - 13*o**2 - 12*o**2).\nAnswer: -96*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of (0 + (-24)\/9)*(51 + -321) and 14?\nAnswer: 5040","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by 25.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 22 + (7 - 5 - 4). Find the second derivative of 120*l**2 + 12 - 102*l**2 - l + w - 8 wrt l.\nAnswer: 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -4500*v**3 - v**2 + 2*v - 2. Let d be p(1). Let o = -2483 - d. Suppose 16*z = 14*z + o. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 50 minutes after 3:35 AM?\nAnswer: 4:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 233906486257 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-2\/5)\/c)**(16\/9)\/(c**(1\/2))**(-35)*((((c\/(c\/((c*c*c**(-2\/15))\/c))*c)\/c)\/c)\/(c\/c**(10\/3)))**(-25) assuming c is positive.\nAnswer: c**(-3599\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 316093?\nAnswer: 43, 7351","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 23.59 times 432?\nAnswer: 10190.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -18*p**3 - p**2 + 185*p + 4. Let u(s) = 37*s**3 + 2*s**2 - 368*s - 10. Let d(b) = -5*r(b) - 2*u(b). Find the second derivative of d(a) wrt a.\nAnswer: 96*a + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 22349?\nAnswer: 22349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 13819?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 118*l + 44*l = 58*l - 71*l + 8750 for l.\nAnswer: 50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 11174529626983 + -37\nAnswer: 11174529626946","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 458?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve s + i - 1 = 0, 29*s = 32*s + 9*i + 15 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -14.9 - -14.5. Let b = -0.03 + -0.37. Let n = b - y. Sort n, -0.2, -6.\nAnswer: -6, -0.2, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*g**2 - 3*g**3 + 22*g**3 - 20*g**2 + 16*g**2 to w + x*g**3 + i*g**2 + q*g and give x.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (5*2)\/(-5 + 7). Suppose -2*j + 6*j - 6 = 2*n, p*j + 3*n = -9. Let w be 45\/(3\/2 - j). What is the highest common factor of 90 and w?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*((sqrt(275)\/sqrt(5))\/sqrt(11) - sqrt(5))*-4.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -a**2 + 107187208 + 5876*a**3 + 2*a**2 - 107187206 as c*a**2 + f + q*a**3 + s*a and give q.\nAnswer: 5876","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) 1.9 (b) -947 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 - ((-15 - -8) + -13)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 97704 a multiple of 59?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1749)\/(-2968)*16)\/(198\/1155*10\/4).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -i + 24. Let r be j(24). Suppose -2*l + 14 = 2. Suppose r = -l*w + w + 225. Calculate the greatest common factor of w and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + -8 + 3 + -1?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-2\/17)*q*q**3)\/((q**(-2)\/q)\/(q**3*q)) assuming q is positive.\nAnswer: q**(185\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 74\/(-1517) + 289\/41?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23777 a multiple of 53?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -122452 + -4?\nAnswer: -122500","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 25\/(900\/(-27)) - 50\/(-88).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vt when two letters picked without replacement from gtvxvft?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(4 + -1*(-3 + 2 + sqrt(175)*1 + sqrt(175))**2).\nAnswer: -1394 + 40*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 111 and 27639?\nAnswer: 27639","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*f**3 - 19*f**2 - 17 wrt f?\nAnswer: 6*f**2 - 38*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 158*l - 456*l - 126*l = 7182 + 1722 for l.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 3, t: 1, e: 3, y: 1, b: 3}. Give prob of sequence aaab.\nAnswer: 1\/440","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.26 + -0.47. Let k = 0.2100664 + q. What is k rounded to six dps?\nAnswer: 0.000066","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*a - 63 = 2*a. Let v(u) = -2*u**2 + a*u**2 + 186*u - 185*u. Give v(1).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 12232, 5, -0.02?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -24763, -46892, -69021, -91150?\nAnswer: -113279","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(25)\/sqrt(5)*-5 - 1*(sqrt(25)\/sqrt(5) - sqrt(5)))**2.\nAnswer: 125","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 448 is divided by 38?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put together -63635939955 and 1141.\nAnswer: -63635938814","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = s**3 + 3*s**2 - 52*s - 95. Let h be v(-8). Which is greater: -1\/19982 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-224)\/14*2\/8*-1.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -27687*r**6 + 1050*r**2 - 7*r - 1 wrt r?\nAnswer: -3322440*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17502*v = 17196*v + 26316 for v.\nAnswer: 86","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.07 and -3544.\nAnswer: -3544.07","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 42783?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -2812050*w**2. Let h(x) = -20*x. Determine h(g(l)).\nAnswer: 56241000*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11 - 1 - 6 - 4 + 5890*k**3.\nAnswer: 5890*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 96 less than 151?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2138, 2139, 2140, 2141?\nAnswer: 2142","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 194 minutes before 12:01 PM?\nAnswer: 8:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lyy when three letters picked without replacement from {l: 1, h: 1, f: 1, y: 2, b: 1, k: 1}?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z**6*z)\/z*z)\/(z\/z**2)*(z**(2\/9))**(-17\/3))**(-7\/2) assuming z is positive.\nAnswer: z**(-637\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 77.26 + -103.304. Let p = u - -26. Let j = p - 1.806. Round j to 1 dp.\nAnswer: -1.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 0 + 3*p**2 - p**3 - 3 + 2*p**2. Let z be u(5). Sort 4, 0, z in ascending order.\nAnswer: z, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2410*h + 0 - 4815*h - 1 + 0 + 2464*h.\nAnswer: 59*h - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -5*t + 4*z, -2*z = 2*t - 5*t - 2. Suppose -2*k - 145 = -r, -r = t*r + 5*k - 457. What is the units digit of r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is j in -8*j**4\/7 - 5222*j**3 + 161666*j**2 + 285200*j\/7 = 0?\nAnswer: -4600, -1\/4, 0, 31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d + 15 = j, 3*d + 0*j + 4*j - 3 = 0. Let o = 14 + d. Let k(h) = -h**2 + 10*h + 23. Let c be k(o). Solve 3*l - 6 = 0, l - 30 = -4*x - c for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -a**3 - 29*a**2 + 132*a + 4530. Determine s(-28).\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -w - 3*u - 12, -4*w - 12 = 6*u - 3*u. Is 1\/641 smaller than w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 82\/95199 and -17\/7777026.\nAnswer: 101101338","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 600*g*w**4 - 52*g*w**2 - 6*g*w - 5*g - 60259*w**4 - 3*w**2 - 7*w - 4 wrt w?\nAnswer: 14400*g*w - 1446216*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 128, -2, -89, -11, -5 in decreasing order.\nAnswer: 128, 3, -2, -5, -11, -89","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 2*o**2 + 2*o + 5. Let c be 3\/(-6) + 5\/2. Let d(b) = -c*b**2 - 2*b + 294 - 151 - 149. Give 6*d(v) + 7*h(v).\nAnswer: 2*v**2 + 2*v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -2820561 bigger than -2820567?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 2 + -397?\nAnswer: -395","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -7*b - 5. Let z(t) = 11*t + 8. Let j(l) = -8*m(l) - 5*z(l). Let y(v) = 7*v. Calculate j(y(r)).\nAnswer: 7*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 3*q**3 + 153*q**2 + 1851*q - 275. What is f(-31)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.25, -1368.1, 2\/5, 0, 2?\nAnswer: -0.25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1341796 and 152?\nAnswer: 50988248","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 110 <= 54480\/491?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -8*p - 7. Let u(i) = i + 1. Let o(y) = 2*h(y) + 14*u(y). Let n be o(-1). Solve -x**2 + 6*x**3 - 10*x**4 - x**2 + 4*x**n + 2*x**4 = 0 for x.\nAnswer: -1\/4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -78 times 627.46?\nAnswer: -48941.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 83*a - 20 = 81*a. What is the derivative of 11 + 18 - 42*t + a - t**2 + 60*t wrt t?\nAnswer: -2*t + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2990301701 to the power of 1\/3, to the nearest integer?\nAnswer: 1441","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g + 357 = 4*j + 293, -4*g - 16 = -j for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -g**2 + 17*g - 3. Let c be v(16). Calculate the greatest common factor of c and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*w**4 + w**4 - 2*w**4 + (5*w**3 + 0*w**3 - w**3)*(3*w + 0 + 0) + (w**4 + 2*w**4 - 6*w**4)*(-1 + 1 + 2).\nAnswer: 3*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 271741593.\nAnswer: 3, 79, 317, 3617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 1 y when two letters picked without replacement from {y: 10, b: 2, l: 2, h: 1, a: 1}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 225 and 250?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5a2 (base 11) to base 7.\nAnswer: 2043","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -185 or -184?\nAnswer: -184","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*x - 2 = 73 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 + 95*x**2 + 54*x - 3*x - 93*x**2 + 0 to n + y*x**2 + r*x and give y.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 239851040, 239851041, 239851042, 239851043, 239851044?\nAnswer: 239851045","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1 - -4. What is the second derivative of -2*g + 8*g**5 - 2*g - 11*g**t wrt g?\nAnswer: -60*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 415 and 166?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -8 - -4. Is m\/(-6) + 134\/6 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3.4 - -1.7. Let f = z - -1.7000004. What is f rounded to 6 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -7*k**2 + 8*k + 1. Let z be h(1). Calculate the remainder when 645 is divided by 15 - z\/(-4)*18.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 7 - 1. Let j(c) = 2 - 3 - r + 3 - c. Determine j(-5).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 123 minutes after 8:42 AM?\nAnswer: 10:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (484\/33)\/(-22)*-6.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in -25, 21, -4, -5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -16 + 17. Suppose 0 = z - x - 11. Solve z = -0*d - 3*d for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -1.5 and 1500737.\nAnswer: 1500735.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d - 863 + 1004 = 3*w, -27*d - 1169 = -2*w for d.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -160 - 169 - 1661*d**2 - 180 - 173 + 680.\nAnswer: -1661*d**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (3\/(-18))\/(5\/60*3)\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -100021 + 11?\nAnswer: -100010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 104 divide 4494?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1804)\/246)\/(22\/(-60)).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -930 (base 16) in base 7?\nAnswer: -6600","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 6468?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -56*j - 2055*j**3 + 5860657 - 5860657.\nAnswer: -2055*j**3 - 56*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -47, -4, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iiu when three letters picked without replacement from ddiuiiuiiuiiiiiuidii?\nAnswer: 26\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-2)\/5)\/(1\/10). Let i be (-1 - 38\/z)*-6. What are the prime factors of ((-21)\/9 + 2)*i?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 times -48?\nAnswer: -144","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-1)\/(-2))\/(1746\/(-108) - -16). Which is the smallest value? (a) q (b) -12 (c) -0.6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 39*i + 10. Let n(v) = 34*v + 9. Determine -2*g(j) + 3*n(j).\nAnswer: 24*j + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 3, j: 4, m: 1}. What is prob of picking 1 m and 1 j?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 342434 a multiple of 144?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2235*j**3 - 7 + 2244*j**3 + 7)*(-j + 0*j + 2*j).\nAnswer: 9*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 76, -6, 4, -1, -2, -19675 in increasing order.\nAnswer: -19675, -6, -2, -1, 3, 4, 76","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -3\/52075589 and -53\/781.\nAnswer: 572831479","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42*x + 1870 - 1954 = 0. What is the closest to x in -2\/17, -2\/3, 2, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -8, 0.55, 1\/2, 0.4, -11, -0.1 in descending order.\nAnswer: 0.55, 1\/2, 0.4, -0.1, -8, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 248511 < 248511?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 145*f**3 - 48222*f**2 + 20770384*f wrt f?\nAnswer: 870*f - 96444","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pejppezpzm. What is prob of sequence ej?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-10)\/(-2) - 6 - -182*2. Suppose -5*i = 2*n - 0*i - p, 367 = 2*n + i. List the prime factors of n.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 254, 216, 170, 116, 54, -16, -94?\nAnswer: -180","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 18*((-4)\/(-2) + 128\/(-72)). Solve -4*x + q*p - 4 = 0, -3 = -2*x - 2*p + 7 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0, 1, -133344, 17, -4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 3*u + 31 = -0*u, -h - 15 = -5*u. Let o(z) = z - 9. Let p be o(8). Let t(a) = -4*a + 7. Let i(y) = y - 1. Calculate h*i(v) + p*t(v).\nAnswer: -v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -4b + -11c749?\nAnswer: -11c797","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 215431.\nAnswer: 211, 1021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 30867*z - 30797*z - 2*z**2 + 4*z**2.\nAnswer: 2*z**2 + 70*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2 - 1)*(-16)\/6. Let q be 12\/10*((-76)\/(-6) + -6). What is the highest common factor of q and y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33 = 9*i + 3 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -1201*i**2. Let l(m) be the second derivative of m**4\/6 - 252*m + 4. What is l(d(k))?\nAnswer: 2884802*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) be the second derivative of -q**5\/210 + q**4\/42 - q**3\/21 + 3*q**2\/2 + 7*q. Let j(h) be the first derivative of f(h). Factor j(k).\nAnswer: -2*(k - 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*u**3\/13 - 2238*u**2\/13 + 48246*u - 48074.\nAnswer: 2*(u - 559)**2*(u - 1)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 4*h**2 - 2*h - 46. Determine y(-6).\nAnswer: 110","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = -35 + 45. Let s be 25 - q - (1 + 3). Solve 0 = 4*j - 0 - s for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 128, -1, 0, -3 in ascending order.\nAnswer: -3, -1, 0, 128","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 93147.\nAnswer: 3, 61, 509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1400) + (sqrt(1400)*-1 + sqrt(1400))*4)*5)\/((sqrt(968) - 2*sqrt(968))*-5*-6).\nAnswer: -5*sqrt(7)\/66","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 103352049?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 244 - 199. Let n(f) = 25*f - 300. What are the prime factors of n(w)?\nAnswer: 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 34282.79 meters?\nAnswer: 3428279","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2280 and 6645?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 4091 >= -259?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) be the third derivative of 1\/3*i**3 - 29\/60*i**5 + 0*i**7 - 79\/336*i**8 + 0*i**6 + 0 - 2*i + 0*i**4 - 86*i**2. Find the third derivative of p(t) wrt t.\nAnswer: -4740*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 8 and 1152\/(-336)*(-28 + 0)*1.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vfvfwfrfyfqfyf. What is prob of sequence yrvq?\nAnswer: 1\/6006","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -317 - -321. Let d = -25 - -51\/2. What is the nearest to 2\/3 in -2, d, j?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 69*b**2 + 885*b - 129. Determine r(-13).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1454143 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand -h**3 - 5*h**3 + 3*h**3 + (-1 + 1 + h**2)*(h - 2*h - 2*h) + 11*h**3 + 0*h**3 - 4*h**3.\nAnswer: h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -8, 32, 104, 214, 368, 572, 832?\nAnswer: 1154","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1)\/(-2) + 6\/(-12). Suppose 3*t - t - 10 = m. Solve t = -0*c + 5*c for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*j**3 - 4*j**3 + 0*j**3)*((2 - 1 + 2)*(0 + 2 - 12) - 4 - 4 - 3).\nAnswer: -41*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -4.9 and -0.099?\nAnswer: 4.801","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 37472 a multiple of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -3502773, -7005544, -10508315?\n\"Answer: -3502771*i - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*j**2 + 2*j**3 + 5*j + 2*j**2 + 12*j + 20*j - 3*j**2.\nAnswer: 2*j**3 + j**2 + 37*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 16561 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 5*v + 4 = 0. Let y be 2\/(-6)*v\/4. Let t = 4.3 - -0.7. Sort t, y, -1\/12 in decreasing order.\nAnswer: t, y, -1\/12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 0*w + 3 = -2*y, 15 = 3*y. Suppose m = -4*a - 52, -5*a - m - 53 = w. Is 9 a factor of -1 - a - (-1 - 1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -48*-3916\nAnswer: 187968","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c + 30*j - 4 = 35*j, j - 4 = -2*c for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - 298 = -1358. List the prime factors of z.\nAnswer: 2, 5, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k**5 + 12*k**4 + 111*k**3 - 372*k**2 + 252*k = 0. What is k?\nAnswer: -6, 0, 1, 2, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 17286 and 16348?\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nlxnlxllnnn. What is prob of sequence lnx?\nAnswer: 4\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -2, 119, -5, 330 in ascending order.\nAnswer: -5, -2, 4, 119, 330","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 17161 and 2227.\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -64, -263, -586, -1027, -1580, -2239, -2998, -3851?\nAnswer: -4792","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -35*p - 7. Give m(1).\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 38*d**2 - 2*d - 1. Let v be k(-1). Suppose 24 = 3*f - v. Suppose m = -l + 9, -2*l = -5*m - l + f. Is m a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1006406.29 rounded to the nearest 100000?\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 212545 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -14161, -113160, -381847, -905068, -1767669, -3054496?\nAnswer: -4850395","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4050?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nnnnknknhnnknknnnnkn. What is prob of sequence hkkk?\nAnswer: 1\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l - 2 = -4*f, 6*l - l = 2*f - 10 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-2\/3))**27\/(r**(1\/3)*(r**(1\/26)\/r)\/r*r) assuming r is positive.\nAnswer: r**(-1355\/78)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1949201289?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -4*6\/192*8. Let a(z) = -1. Let f(x) = -6*x + 4. Determine h*f(i) - 3*a(i).\nAnswer: 6*i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = a**3 - 5*a**2 + a + 6. Let g be u(5). Calculate the highest common factor of g and 88.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -c**4 - 912*c**3 + 73039*c**2 + 73950*c = 0. Calculate c.\nAnswer: -986, -1, 0, 75","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 9019 (base 10) to base 12\nAnswer: 5277","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 468 = 45*t - 9*t. Solve 5*x - 18*x = -t for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 15 and 166404?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = r**3 - 22*r**2 + 24*r - 51. Let g be (68\/8 + -10)*-14. Calculate a(g).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1193403881 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b - 3*s + 1 = 0, -4*s - 19 = -7 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r = -5*s + 70, -10 - 13 = -r - 4*s. Suppose 25 = r*j - 10*j. Suppose 0 = 15*i - j*i - 1190. Calculate the greatest common divisor of 17 and i.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 138059?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(420)\/(sqrt(10) + sqrt(20)\/sqrt(2)))\/(sqrt(72)\/(sqrt(12) + 2*sqrt(12))))**2*1.\nAnswer: 63\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kaaayaayni. Give prob of sequence ykaa.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -154*k - 2523. Give i(-14).\nAnswer: -367","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 65221.97mg in kilograms?\nAnswer: 0.06522197","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 5*p - 357 = 0, 5*f + p - 1697 = -2*p. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one twentieth of a micrometer in nanometers?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cccccifcc. Give prob of picking 1 f and 1 i.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -r**3 + 2*r**2 + 5*r - 4. Let j be x(3). Suppose 5100 = 15*s - 10*s. List the prime factors of s\/42 + j\/(-7).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1584\/7 in 6, 0.8, 5?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1345 - -12101\/9. Let a be ((-4)\/3)\/(3\/(-9)). Suppose 3*t = -3*l, -a*t = 2*l - 4*l. Which is greater: u or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = x**2 - x + 2. Suppose v - 4 + 1 = 0. Let r be n(v). Let i**2 + 5*i**5 - i**4 + r*i**4 + 5*i**3 - 2*i**5 = 0. What is i?\nAnswer: -1, -1\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 54?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = s**3 - s**2 - s + 1. Let b(a) = -2*a**3 - a**2 + 2*a - 10. Let g(l) = -b(l) - 3*y(l). Suppose 5*f - 20 = -5*k + 30, -k = -f. Determine g(f).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 150 is divided by 38?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -2*z - 1. Suppose 4 = -3*s - 26. List the prime factors of t(s).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*c - 9*c + 14*c)*(-4*c - 19*c + c).\nAnswer: -264*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-3)\/(-18))\/((-22)\/(-8) - 2). Let t = -0.3 + -0.7. What is the nearest to -3 in -0.4, b, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 110078988 is divided by 755.\nAnswer: 743","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 76*j + 31 + 2*j**2 - 63*j - 5*j**2 + 6*j**2. Is d(-7) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = -2*j + 1035. Let r = -308 + j. Calculate the remainder when 143 is divided by r.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 87*c**2 - 853*c - 149. Determine d(10).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -14*b. Let r(s) = s. Let l(c) = -21*r(c) - y(c). Let w(q) = q**3 + 5*q**2 - 7*q - 7. Let p be w(-6). Give l(p).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.3, 0.012, 5?\nAnswer: 0.012","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = -12*c + 54. Put c, 2\/17, -5, -0.3 in decreasing order.\nAnswer: c, 2\/17, -0.3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -7*d. Let o be s(-4). Suppose -2*r = 2*f - f - o, 84 = 4*f + r. Calculate the highest common factor of f and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 124775252 is divided by 4621305.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x**2 - 1574568*x\/7 + 64268 = 0. Calculate x.\nAnswer: 2\/7, 224938","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (-1*((sqrt(700) - -5*(sqrt(700) + -1 - sqrt(700)))*3 + -2))**2.\nAnswer: -1020*sqrt(7) + 6585","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + 46069.\nAnswer: 46066","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.43 + -0.03. Let o = -6 - -5. Sort o, 0.2, q.\nAnswer: o, 0.2, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 108444, 433610, 975512, 1734114, 2709380?\nAnswer: 3901274","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.04 - -4.04. Put s, -2\/9, 3 in decreasing order.\nAnswer: s, 3, -2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 303 minutes before 4:40 AM?\nAnswer: 11:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((-1*sqrt(104))\/sqrt(8) + 3 + 2)**2.\nAnswer: -30*sqrt(13) + 114","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u, 1 l, and 2 j when four letters picked without replacement from {j: 11, u: 3, l: 1}.\nAnswer: 11\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Product of -67.6109 and -0.022.\nAnswer: 1.4874398","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (5 - 37 - 68*r + 69*r)*(-2*r**3 - 4*r**3 + 4*r**3) in the form p*r**3 + d + y*r + a*r**2 + x*r**4 and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) be the first derivative of y**9\/216 + 2*y**5\/15 + 17*y**3\/3 - 1. Let w(b) be the third derivative of a(b). Find the second derivative of w(v) wrt v.\nAnswer: 280*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -40*d*n**3 - 301*d*n + 1791088*d - 9*n**3 with respect to n.\nAnswer: -120*d*n**2 - 301*d - 27*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3021, -3106, -3181, -3240, -3277, -3286?\nAnswer: -3261","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*w = 2*w - 5120000. What is w rounded to the nearest 100000?\nAnswer: -1300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -z**2 + 10*z - 2. Let y be u(8). Let l = y + -12. Suppose 8*w - 16 = -8. Solve l + w = 3*v for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (g + 2*g + 0*g)*(0 - 4 - 1) + 7*g - 2*g - g to b + w*g and give w.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find b, given that 2*b**5\/3 - 1196*b**4 + 2236510*b**3\/3 - 177948300*b**2 + 10315575000*b + 10494270000 = 0.\nAnswer: -1, 85, 570","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -31*x. Suppose 24 = 4*l - 5*g, -3*l - 3*g + g + 41 = 0. What is the remainder when n(-1) is divided by l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-283)\/(-574))\/1 + 8\/(-16). Let m = 6332\/2583 + g. What is the common denominator of -37\/8 and m?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (-5 + sqrt(2)*3*-2 + -3)*5.\nAnswer: -30*sqrt(2) - 35","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - u = -94, -o + u = -u - 109. Let g = o - 98. Which is greater: -3\/31 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 93*g + 382*g - 12684672 = -29*g. Is g a multiple of 208?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22126.\nAnswer: 2, 13, 23, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 276 is divided by 79?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 58\/11*3168\/576?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1b - 6?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.00269 years in millennia?\nAnswer: 0.00400269","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1026302 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -37 + 33. Let g be ((-6)\/n)\/((-6)\/(-12)). Suppose 4*o = -3*f - 0*f + 29, 0 = g*o - 3*f - 6. What are the prime factors of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -294 = -42*o + 91*o. Let x(j) = -j + 15. What is x(o)?\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 93 or -4\/11?\nAnswer: 93","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z + 10 = 0, 4*z - 185 = -4*p + 843. Suppose 4*f - 4*q = 364, -5*f + p + 197 = -4*q. List the prime factors of f.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 115\/2*h**3 + 0*h**2 + 5\/2*h**5 + 0 + 0*h - 60*h**4 = 0. What is h?\nAnswer: 0, 1, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 215.4632ug to tonnes.\nAnswer: 0.0000000002154632","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 22 + -17. Suppose r*c - 31 = -5*l + 1039, 4*c + 614 = 3*l. What is the common denominator of 993\/l + (-12)\/(-21) and 63\/2?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 496.22 times 0.5\nAnswer: 248.11","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 316, -232, -14 in decreasing order.\nAnswer: 316, -14, -232","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 37, 692, 2473, 5944, 11669, 20212, 32137?\n\"Answer: 94*o**3 - o**2 - 56","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine j so that -15*j**4\/4 + 243*j**3\/4 + 67227*j**2\/4 - 80955*j\/4 + 3375 = 0.\nAnswer: -60, 1\/5, 1, 75","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1007 = -11*f - 171. Solve 73*i = f*i - 12 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 212360?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 = -32*j + 37*j for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 10349 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5 - -2 - 8) + 3.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 62439 < 62468?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 - 8 = 3*y. Let w = 745\/6 - 130. What is the common denominator of w and (26\/(-104))\/(y\/30)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 11*j + 9. Let d(a) = -12*a - 11. Calculate 5*d(r) + 6*t(r).\nAnswer: 6*r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 25.95 times -12?\nAnswer: -311.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 3 = 1. Suppose -u + 2 = -i. Let b be -900002 - (i + ((-3)\/(-1))\/(-3)). Round b to the nearest one hundred thousand.\nAnswer: -900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from txxtt. What is prob of sequence ttx?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*x**2 - 4*x + 4*x)*(-2 + 2 - 1) + 5*x**2 - 4*x**2 + x**2 + (2 + 0 - 1)*(x**2 + 0*x**2 - 3*x**2) + 2345 - 2345 - 16*x**2.\nAnswer: -14*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 * 1.52\nAnswer: 0.152","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1\/8 (b) -3\/4 (c) -2 (d) 1\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 176, -113, 23 in increasing order.\nAnswer: -113, 23, 176","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + ((sqrt(891) + -1*sqrt(891) - sqrt(891)) + 4 + sqrt(891) + sqrt(891) - -1*(sqrt(891) + -1 - sqrt(891)) - (5 + 1 + sqrt(891) + -4 + sqrt(891))))**2.\nAnswer: -54*sqrt(11) + 900","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -911.5 + 911.500144752. What is f rounded to 6 decimal places?\nAnswer: 0.000145","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 2, 154, 412, 782, 1270, 1882, 2624, 3502?\n\"Answer: f**3 + 47*f**2 + 4*f - 50","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1099 + 539 - 5*n + 560.\nAnswer: -5*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 107, 139, 171, 203?\nAnswer: 235","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:30 PM and 12:17 AM?\nAnswer: 107","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -12 - -20. Suppose 20*o = -2*w + 16*o + 2, 3*o + 31 = 5*w. Solve -w*j - 15 = -h*j for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.333165 to 1 dp.\nAnswer: -2.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) be the second derivative of -101*a**3 + 55*a**2\/2 + 295*a. Is j(-6) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 37 + -35. Let r = 4 - b. Calculate the greatest common factor of 18 and r.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/b**(2\/15))\/b**8*(b\/((b\/(b*b**(-10))*b*b*b)\/b))\/((b\/(b**(-8\/5)\/b))\/b) assuming b is positive.\nAnswer: b**(-311\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1800, -4235, -6676, -9123, -11576, -14035?\nAnswer: -16500","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 129065352.\nAnswer: 2, 3, 13, 499, 829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -2 + (-2 - (-1 + -118)). Suppose -2*u = 4*i - 38, 0 = -0*u - 5*u - i + 113. Calculate the greatest common factor of a and u.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 1\/10 of a minute?\nAnswer: 6000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.446542ng in milligrams?\nAnswer: 0.000005446542","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*n - 3*n - n)*(-4*n**3 - 3*n**3 + 6*n**3)*(-11*n - 24*n - 21*n)*(-2 + 5 - 1).\nAnswer: 224*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1963004?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -3\/2 (b) -31.8 (c) 1\/12 (d) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7795 + 5561 = 18*d. What is the tens digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + (2 - (-1 + 4 + -3 + 4)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -21*w - 51. Calculate c(-10).\nAnswer: 159","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(1\/19))**(1\/11))**(-2\/79) assuming n is positive.\nAnswer: n**(-2\/16511)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve l - 5 = 3*o - 4, 25 = -5*l for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = o**3 - 4*o**2 + 2*o - 5. Suppose 3*r - 54 = -2*y, -2*y - 89 = -4*r + y. What is the remainder when z(6) is divided by r?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*l + 1 + 5. Let j(n) = -n**2 - 4*n - 1. Let w be j(l). What is the common denominator of 51\/8 and w\/(-24)*(2 + -4)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(98))**2*-2 + -3 + sqrt(2) + 0.\nAnswer: -199 + sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r = 4*b + 4, -2*r - b = -6*b + 10. Suppose r*x = 3*s - 93745, -s + 3*x = -2*s + 31253. Let n be (-288)\/30*-31*s. Round n to the nearest 1000000.\nAnswer: 9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 45780 = 1768744*q - 1768324*q for q.\nAnswer: 109","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let 25*v**4 - 29*v**3 - 21*v**2 + 29*v - 4 = 0. What is v?\nAnswer: -1, 4\/25, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -19ab - 0?\nAnswer: -19ab","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 178394, 713561, 1605504, 2854223, 4459718, 6421989?\n\"Answer: 178388*u**2 + 3*u + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r - r - 5*s = -110, 0 = -r - 5*s + 46. Let c be 2\/9 + (-858)\/(-27). Calculate the highest common divisor of c and r.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.229965 rounded to 1 decimal place?\nAnswer: 2.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27 = -5*u + 3*s - 740, -5*u - 706 = 4*s. Let p = 190 + u. List the prime factors of p.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 60 and 120?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 5*i - 865 + 200 = 0, -5*u - 2*i = -1631. Let j = -160 + u. Let c be (297\/6)\/(6\/8). What is the greatest common divisor of j and c?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 832 = -88. Let c = 751 - v. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3701100 by -71175.\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = 2*m, -2*s + 7 = -59*m + 64*m. Suppose 3*u + 3*f + 12 = 0, -2*u + 2 = -5*u - f. What is the remainder when s is divided by u?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -34 divided by -2?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:40 AM and 12:33 PM?\nAnswer: 353","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -40, 4, -1\/6?\nAnswer: -40","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 7355 and 30?\nAnswer: 44130","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -74593 - -108890. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) be the third derivative of l**7\/30 + l**5\/6 + 8*l**2. Find the third derivative of x(p) wrt p.\nAnswer: 168*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -20220102100 - 10120?\nAnswer: -20220112220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 279*z**4 + 403*z**2 wrt z?\nAnswer: 6696*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3 (b) 4 (c) -6995.9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -173\/109704 and 61\/45710?\nAnswer: 548520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 30548?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) be the third derivative of -f**5\/60 + f**4\/4 - 2*f**3\/3 + 2*f**2. Let a be z(3). Solve a*x = -3*y + 31, 0*x - 2*y + 9 = x for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1080576 divided by -804?\nAnswer: -1344","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = d - 5. Calculate f(6).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -42.00184 - -42. Round u to four decimal places.\nAnswer: -0.0018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7)\/(343\/518)*(-16)\/((-160)\/35)?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 422 + -633. Let w = i + 211. Solve 3*l - 9 - 3 = w for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) be the second derivative of -f**6\/10 - 502*f**5\/5 - 6931*f**4\/12 - 238*f - 13. What is the third derivative of d(z) wrt z?\nAnswer: -72*z - 12048","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6\/8*176*44\/(-528)\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37*r + 105 = 58*r. Suppose -j = -6*j + 15. Suppose -r*g + 89 = j*v, 0*g + 5*v = g - 29. Does 11 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 178 divide 140747?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of ((-14)\/24)\/7*79 and 33\/4.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (z**2 - 3*z**2 - z**2)*(z**2 - 3*z**2 + z**2) + 2186*z**3 + 378*z**4 - 2186*z**3.\nAnswer: 381*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = o + 4. Let y be 4\/20 - 3\/15. Let p be v(y). Calculate the greatest common factor of p and 10.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-p - p + p)*(4 + 1 - 3) + p - 3*p + 3*p)*(-51*p - 61*p - 62*p).\nAnswer: 174*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 3990949 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6*3\/(-6)*(-12)\/(-486).\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -133\/156 and -43\/40?\nAnswer: 1560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:45 PM and 1:51 PM?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.3, 3, 33\/65, 2\/7?\nAnswer: 33\/65","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-54)\/9 + 20)\/(806\/(-4433)).\nAnswer: -77","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/50)\/((-6465)\/(-12930)).\nAnswer: 4\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = g**2 - 7*g + 5. Let d be ((-9)\/2)\/(12\/(-16)). Let f be p(d). Let z be (-1*2)\/((-4)\/(-160)*-16). What is the nearest to 0.1 in z, -0.1, f?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 6\/27 - (-428)\/18. Suppose 0*u = 2*u - d. Solve 2*k + 3*r + r + u = 0, 4*r = k for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 15 + -13. Suppose -f*o = 2*m, m - 4*m = -o + 20. Let k = -5 + 2. Which is greater: m or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 173755 and 1965245.\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tp when two letters picked without replacement from {p: 1, o: 1, c: 2, t: 1}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1111000100100100011 - 10?\nAnswer: -1111000100100100101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 4*o**2 - 3*o**2 - 5 + o**3 - 2*o - 5*o**2 - 12. Let t be h(5). Does 27 divide -5 + 6 + 106\/(-4)*t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -56*q - 260 = -15*q - 15*q for q.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*v - 13*v + 397089 = -8*v. Is 12 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/24*3)\/((-2)\/(-68))?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -6 + 6.07. Let w = r + 2.93. Let l = -0.1 + 0.1. What is the smallest value in l, 0.3, w?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 - -16686877217559.\nAnswer: 16686877217555","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 14*f**2 - 18*f + 140. Let i(a) = -3*a**2 + 4*a - 35. Give -9*i(k) - 2*j(k).\nAnswer: -k**2 + 35","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 + 17 = -5*y, 5*d = y + 44. Suppose 4 = f + d. Let b = 3.2 + -3. What is the nearest to -0.1 in f, 0, b?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -3 - 57\/(-21) - 1479\/(-203). Let g be 0\/(-4)*((0 - 2) + 3). Solve 3*a + g*i = 3*i + 3, y = 2*a + 3*i for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*4*(sqrt(475) + 0 + 2 + -3 - (3 + (sqrt(475) - (0 + -1 + sqrt(475))))))**2*-5.\nAnswer: -360000 + 36000*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31663 + 30963 = 20*b for b.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 236043558.\nAnswer: 2, 3, 1457059","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 278*b - 2486 = -2*b + 54*b for b.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 313026 - -77?\nAnswer: 313125","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2)\/5 - (-58)\/70. Suppose -w - 5*i = 4, -54*w - 3*i - 16 = -50*w. Let m = 2 - 3. What is the closest to m in 0.4, t, w?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = k**3 - 2*k**2 + 754*k + 2261. What is t(-3)?\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -342*l**2 + 116*l + 7. Let g(i) = -230*i**2 + 79*i + 5. Give -7*g(j) + 5*v(j).\nAnswer: -100*j**2 + 27*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 170836 is divided by 168744.\nAnswer: 2092","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 182 or 181?\nAnswer: 181","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23 + 35 - 111*v + 105*v - 3.\nAnswer: -6*v + 55","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1688.065 - -1681. Let o = -7.1 - h. Let r = -0.035000065 - o. Round r to 7 decimal places.\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -2, 25, -3 in increasing order.\nAnswer: -3, -2, 4, 25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 24878 and 28?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-36 - 45872\/(-1281))*-7.\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 y when four letters picked without replacement from {y: 4}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 + (122\/14 - 46\/(-161)).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) be the first derivative of r**3\/3 - 1. Let w(f) be the second derivative of f**4\/2 - 2*f**3\/3 - 3*f**2\/2 + f. Let m(h) = 5*g(h) - w(h). Calculate m(5).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*l**2 - 987332*l.\nAnswer: 2*l*(l - 493666)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-13*a**2 + 29*a - 29*a)*(-1 - 1 + 0) + (4*a**2 - 4*a**2 - a**2)*(-2 + 5 - 2).\nAnswer: 25*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3014266?\nAnswer: 2, 659, 2287","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (((-72625)\/(-420))\/(-83))\/(-5)\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-8\/5)*l*l**(6\/11)\/l*l)**18 assuming l is positive.\nAnswer: l**(-54\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -9 - -271. Which is smaller: t or 264?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.0234804l?\nAnswer: 23.4804","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -44473*k + 311389. Calculate x(7).\nAnswer: 78","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3501.\nAnswer: 3, 389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -47, 0.2, 0.4 in decreasing order.\nAnswer: 0.4, 0.2, -47","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -25 + -36717?\nAnswer: -36743","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -109\/627546 and -115\/15306.\nAnswer: 627546","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - 1)*(-288)\/648*-24.\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = i**3 - 3*i**2 - 17*i - 11. Let u(x) = x**3 - 2*x**2 - 15*x - 12. Let k(h) = -7*u(h) + 6*w(h). Factor k(y).\nAnswer: -(y - 2)*(y + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2612 or -20926?\nAnswer: -2612","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -9*n - 6. Let t(f) = -8*f - 5. Suppose 2 = -4*u + 22. Suppose 2*s + 9*q - 6*q = -25, 3*q - u = 4*s. Determine s*g(o) + 6*t(o).\nAnswer: -3*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 967*v - 1152 - 6771 = -41293 - 14013 for v.\nAnswer: -49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 18707661 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 320184?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: ((-16)\/16)\/((3\/(-4))\/((-84)\/(-56)))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n\/(n*n**(-1)))\/((n**(2\/5)\/n)\/n)*(n\/n**1)\/((n**(4\/3)*n)\/n))\/((n*n**4*n\/(n*n**(-1\/3)))\/((n*n*(n*n**(2\/7)*n)\/n)\/(n**(-1)*n))) assuming n is positive.\nAnswer: n**(23\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -23*l**3 + 47*l**3 + 19*l - 23*l**3 - 14*l**2 - 65. Let o be v(13). Let t = -29 + 68. Calculate the greatest common factor of t and o.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k**20)\/k**(-20) assuming k is positive.\nAnswer: k**41","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 4*s - 2. Let p(d) = 3*d - 2. Suppose 0 = -3*z + 5*h - 25, -5*z + 4*h = 8*h + 17. Let w be (-1 + z)*2\/4. Determine w*p(t) + 2*l(t).\nAnswer: -t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 4, o: 6, q: 10}. Give prob of sequence rr.\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -23*c**2 - 3936*c + 24451. What is m(6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 112*k = -4*d + 116*k, -4*d - 5*k = -27 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wwgwqgwgqggqwwwq. Give prob of sequence wggg.\nAnswer: 1\/104","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 3 - (-4)\/(96\/(-71)). Let p(q) be the second derivative of 0*q**3 - 1\/4*q**2 + d*q**4 + 2*q + 0. Factor p(m).\nAnswer: (m - 1)*(m + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/c**(-4\/5))\/(c*c**(-6)*c))**(-23\/5) assuming c is positive.\nAnswer: c**(-667\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 505?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 56816 and 70736?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 1 (b) -1\/12 (c) 5 (d) 9\/8 (e) 2\/3 (f) -5.55 (g) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 116221588.\nAnswer: 2, 7, 17, 37, 6599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -52 + 29. Let x = g - -23.0000011. What is x rounded to seven decimal places?\nAnswer: 0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -178512 >= -178575?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 28279451 to the nearest integer?\nAnswer: 5318","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17*s**2 + 1 - 10*s**2 + 7*s**2 - 1.\nAnswer: 14*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gee when three letters picked without replacement from {g: 7, e: 5}?\nAnswer: 7\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -1. Let t(l) = -6*l + 5. Let m(h) = 6*d(h) + t(h). Let x be (-6 + 2 - -3) + (-10)\/(-5). Let k(i) = i. Let o(y) = x*m(y) + 5*k(y). Determine o(2).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3443895 and 1044?\nAnswer: 13775580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -18 (b) -0.004 (c) 0.1 (d) -6 (e) -1.01\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 23 - 17 - 7 - 79 + 2*i**3 + 10*i**4 wrt i.\nAnswer: 40*i**3 + 6*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2\/3*g**2 - 22\/3*g - 16 = 0 for g.\nAnswer: -8, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -387, 994, 3291, 6498, 10609, 15618?\nAnswer: 21519","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 23*i**2 + 2*i + 2. Let k = -35 + 34. List the prime factors of r(k).\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = a**2 - 7. Let t be c(-4). Suppose -3*r + 4*r - t = 0. Solve 0 = 4*v - 5*i - 3, -i = 4*v - 0*v - r for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21823*n + 4920 = -21703*n for n.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 33415, 66395, 99375, 132355, 165335, 198315?\nAnswer: 231295","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = u, 2*g + 8 = 5*u - g. Suppose 2*a = u*p + 11 - 33, -a - 2 = p. Solve 0 = 3*c + 3*d + 3, 0 = p*c - 4*d - d - 21 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 78 - -54. Let l = 132.09 - b. What is the closest to 2 in 0.1, 3, l?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 665 is divided by 220.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-9)\/(-2))\/(10\/(-12)*27\/(-30)). Solve -3*v = -n*z + 8*z + 4, 4*v = 3*z - 11 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -806474\/873 or -923?\nAnswer: -923","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*m + 2680 + 2028 = -195*m for m.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -78 + 96. Calculate the remainder when 68 is divided by f.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -8, 3, -279, 1 in descending order.\nAnswer: 4, 3, 1, -8, -279","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-64)\/(-224) + 47\/(-91) + (-4257)\/(-702)?\nAnswer: 35\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide 2110?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 128*k - 45*k - 913. Let t(q) be the first derivative of -k + 6*q + 1\/2*q**2. Determine t(-6).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 913 and 263857?\nAnswer: 913","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 20073342 to the nearest integer?\nAnswer: 4480","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 639510 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 610140 to the nearest one hundred thousand.\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 5026\/(-6) - (62\/6 + -10). Do -5 and x have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = p**3 + 47*p**2 + 10*p - 291. Determine z(-47).\nAnswer: -761","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 4*b + 1. What is the least common multiple of 7 and k(2)?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -205 - -214. Suppose 757 - 775 = -c*w. Solve -3*n - 4*j + 17 + w = 0, -5*n = -j - 1 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -165 + 308. Let y = 145 - n. Let d(u) = u**3 + u**2 - u - 1. Let q(g) = -2*g**3 - 2*g**2 + 3*g + 2. What is y*q(w) + 6*d(w)?\nAnswer: 2*w**3 + 2*w**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Let t be (-4)\/(-6) + 258\/(-9). Let l = -87 - -101. Let m be (-8)\/t - (-52)\/l. Solve q + m = 5*q for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12602*v + 12603*v - 2 = 2*c, c + 19 = 5*v for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 192, 381, 568, 753, 936?\n\"Answer: -s**2 + 192*s + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 208\/(-34) + (-413)\/(-70) + 4\/40?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2 - (0 + (1 - -1)). Suppose d + 2*s + 4 - 13 = z, 4*d + 5*s = 27. What are the prime factors of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 228 - (630\/147 + 2\/21*-3). Calculate the greatest common factor of 938 and r.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 53890394 and 398?\nAnswer: 398","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -1\/3 (b) -3.8 (c) -39.1 (d) 2 (e) 5\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 19, 2\/13, -2\/9?\nAnswer: 19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -52 + -75a80?\nAnswer: -76022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 188 = 8*w + 44, 14*i - 5*w + 143 - 53 = 0 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(-2\/11)\/l*l)\/l*(l*l**2\/l)\/l)**(1\/13) assuming l is positive.\nAnswer: l**(-2\/143)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (-7*j**2 - 9*j**2 - 22*j**2)*(16*j - 32*j - 7 - 4) as n + b*j**2 + x*j**3 + a*j and give b.\nAnswer: 418","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 506297 is divided by 778?\nAnswer: 597","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4 - -4. What is the second derivative of 4*w + c*w**3 + w + 0*w**3 wrt w?\nAnswer: 48*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -204, -1550, -5180, -12228, -23828?\nAnswer: -41114","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*c**2 + 3*c**2 - 2*c**2 + (-c - 2*c + 4*c)*(4*c + 0*c - 2*c) - 30 - 25*c**2 + 30 - 3*c**2 + c**2 + 4*c**2.\nAnswer: -22*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -82 + 19. Let g = m + 142. What is the units digit of g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2*j**4 + 19617705*j**3*l**3 + 4*l**3 - 1677565 wrt j?\nAnswer: -8*j**3 + 58853115*j**2*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -17*p**2 + 161*p - 866. Give d(5).\nAnswer: -486","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -5, -19, -4, -0.7?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -26 in -1\/83, 0.5, -2.1, -5, -3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 2*w + 5. Let c be b(0). Suppose 2*y = -0*y - 2*k + 6, 0 = 2*y - c*k + 1. Suppose -y*o - 1 + 9 = 0. What is the highest common divisor of o and 44?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 23 - -240?\nAnswer: 263","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -k**2 - 5*k - 4. Let n = 1 + -5. Let i be a(n). Solve i*b = b - 3 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is r in -2*r**3\/7 - 4*r**2\/7 + 46*r\/7 + 120\/7 = 0?\nAnswer: -4, -3, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1307956407?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i = -0*i. What is the second derivative of i*c - 4*c - 3*c**5 + 0*c wrt c?\nAnswer: -60*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(25)\/sqrt(5) + (sqrt(5) + (sqrt(125) - sqrt(5)) + sqrt(5))*-2 + (6*(sqrt(5) - sqrt(25)\/sqrt(5)) + sqrt(5) - (4 + sqrt(5)*1)))*1.\nAnswer: -13*sqrt(5) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5? (a) -0.5 (b) -1\/4 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -37, -81, -139, -217, -321?\n\"Answer: -a**3 - a**2 - 34*a - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3\/11, -15\/13, 5, -2, -0.2, -6\/391?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 13*i**5 - 6*i**5 + 9*i**5 + (67*i**4 + 182*i**2 - 182*i**2)*(-i - 2 + 2).\nAnswer: -51*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(7) + ((sqrt(2016) - sqrt(56))\/sqrt(8))**2 - (sqrt(112) - 2*sqrt(112)).\nAnswer: 5*sqrt(7) + 175","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -247 - -247. Suppose -5*n - 15 = -0*x - 5*x, 5*n + 39 = -3*x. Let a = 7 + n. What is the third biggest value in g, -1\/6, a?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0 - 0. Suppose n = 3*v + v. Solve v = -4*b + 4, 0*o + o - 7 = -4*b for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 104310240 + 1412?\nAnswer: 104312202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-436)\/1635 - (-68)\/30. Factor 49\/6 + 1\/6*q**o - 7\/3*q.\nAnswer: (q - 7)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -17 + (-18 - (-5 + -24)) + 25?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 2 (b) -0.16633 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2 + -9684a00?\nAnswer: -9684a02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a - 2*z - 560 = -582, 0*a - 24 + 2 = a + 5*z for a.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 996 divide 1803546?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -1327760.37 rounded to the nearest 100?\nAnswer: -1327800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -129310200*a**2 - 40986229*a wrt a.\nAnswer: -258620400","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sum -9434528 and -3.\nAnswer: -9434531","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 104 - 99. Suppose -2*q - q - 5*z + 95 = 0, 33 = q + 2*z. Let m be (-30)\/q + 0 + 1. What is the third smallest value in m, 2\/11, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 6 = -2. Solve -5*j = s + 24, y*j - 3*s + 0*s + 23 = 0 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w = -w. Solve 5*s - 5*t = -44 + 9, t - 4 = w for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -6 or 293?\nAnswer: 293","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 9\/10 of a kilogram?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 37, 105, 217, 373, 573, 817?\n\"Answer: 22*s**2 + 2*s + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 15, -4, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (121 - 123) + -1*7\/(-3).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 2, k: 2, o: 1, x: 6, s: 6}. What is prob of picking 2 s and 1 o?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2500)\/(-24) - 2\/12. Let x = 103 - r. What is the nearest to x in 36, 1\/6, 0.2?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -251374342 and 0.187.\nAnswer: -251374341.813","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -3*p + 6. Let t(g) = 4*g - 5. Let d(v) = 3*b(v) + 4*t(v). What is d(2)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -58\/199215 and -32\/2563.\nAnswer: 2191365","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -61 + 65 + (29 - 113).\nAnswer: -80","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.007676090054 to three decimal places.\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 20 - -14?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from llltwlft. What is prob of sequence lll?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3607088966?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.014942317 to 5 decimal places.\nAnswer: -0.01494","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gg when two letters picked without replacement from {w: 1, d: 2, g: 3, q: 2, c: 2, n: 4}.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 210076 at most 210076?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 46184 and 138?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (l - l - l)*(4*l + 0*l - l)*(-3*l + l + 3*l) in the form n*l**2 + r*l + i*l**3 + k and give i.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*1*sqrt(1216))**2 - (sqrt(1216) - (-1 + (sqrt(1216) - (-3 + sqrt(1216)))))) + 0.\nAnswer: -8*sqrt(19) + 4866","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 3 + -146*4\/304 and -29\/6.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) be the first derivative of 53*o**6\/2 + o**5\/5 - o**2\/2 - 27*o - 111. Find the second derivative of c(t) wrt t.\nAnswer: 3180*t**3 + 12*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = 17 - 11. Suppose 5*d - 2*d = -o*g - 1, 2*d = -3*g - 9. Solve -4*h - d = 13 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 477 a factor of 48385621?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5412*n**6 - 15421*n**3 + 344118673*n**2.\nAnswer: -649440*n**3 - 92526","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 0*-31547899\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 174*n - 161*n = 13 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 90669400 rounded to the nearest one million?\nAnswer: 91000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 2*g + 23. What is t(-9)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + 2*m = 76. Let p = m - 4. What is the remainder when p is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 5 = 3. Let j = 93 + -93. Suppose 3*k = -3*y + 12, j - 2 = 2*k. Solve -3 - t = 4*q, 0 = -i + q + y for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 253*b**2 + 82*b + 144. Determine z(-2).\nAnswer: 992","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3 and 5212854?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Are 202\/5627 and -1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -11 - -19. Suppose -i = -z + 7. Let s = 24 - z. Calculate the least common multiple of 6 and s.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 272 a factor of 729421?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2102121110 (base 3) to base 4.\nAnswer: -23223111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -w**2. Let d(z) be the second derivative of -z**3\/3 - 10*z. Determine d(f(v)).\nAnswer: 2*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -0.3, 4, -5, -368, 0.4, 8 in decreasing order.\nAnswer: 8, 4, 0.4, -0.3, -1, -5, -368","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 21 + 4*q - 8*q - 19*q. Let x be k(5). Does 8 divide 5\/(25\/10) - x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 74 + -217. Let q be ((-2156)\/r)\/7 + 0 + -2. Suppose -2\/13*i**4 + 2\/13*i**5 + 2\/13*i**2 + 0*i + 0 - q*i**3 = 0. Calculate i.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4962718 divided by -3.\nAnswer: 4962718\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 97 a factor of (-7)\/(-28) - ((-46798)\/8 + -1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -31*a + 308. What is the tens digit of s(5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*c**2 - c**2 + 0*c**2 - 3*c**2 - 3*c**2 + 4*c**2 + (5*c**2 - 5*c**2 - c**2)*(-2 + 2 - 1) + 3*c + c + 12*c**2 - 9*c**2.\nAnswer: 4*c**2 + 4*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1\/3, 2.4386, 2\/3, 0.2?\nAnswer: 2.4386","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (6 - 4 + 1)*(6*y + 2*y - y) to i + x*y and give x.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor k**4 + k**3 - 4*k**2 - 4*k.\nAnswer: k*(k - 2)*(k + 1)*(k + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.8 + 0.72. Let g = -3.92 + j. What is the closest to -1 in g, 0.05, -2\/13?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -9\/1984 and 47\/14.\nAnswer: 13888","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*f + f + 3*f + 2*f - 4*f + 3*f + (1 + 1 - 3)*(f - 2*f + 3*f) + 3*f + 2*f - 2*f - 15 - 13 + 28 - 499*f in the form g + r*f and give r.\nAnswer: -496","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/3? (a) -2\/9 (b) 3\/2 (c) 1\/5 (d) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -j**3 + 13*j**2 - 16*j + 13. Let r be i(12). Let v = -4 - r. Is 18 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (470\/4888)\/(10*(-9)\/(-39)).\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1669, 3582, 5497, 7414?\nAnswer: 9333","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:58 AM and 12:58 PM?\nAnswer: 660","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 1311 = h. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9 divided by -28\nAnswer: 9\/28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand -14726*f**2 + 6858*f**2 - 7674*f**2 - 9202*f**2 + (-3*f**2 + f**2 + 4*f**2)*(1 - 1 + 1).\nAnswer: -24742*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 11587.59 milligrams?\nAnswer: 11.58759","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 6*g**3*z**2 - 13*g**3*z + 3*g**2*z - 2*g**2 + 85*g*z**2 - 1539*g*z - 4*z**2 + z wrt z.\nAnswer: 12*g**3 + 170*g - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 227*i**3 + 252*i**3 - 21*i**3 + 88*i**3.\nAnswer: 546*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8992?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.37387 times 10?\nAnswer: -13.7387","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -c**3 - 4*c**2 + 7*c + 3. Suppose 5*w + 238 = -d + 212, -4*w - 10 = -d. What is t(d)?\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -4 + -2501?\nAnswer: -2505","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2001310, -1, -11 in descending order.\nAnswer: 2001310, -1, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -443\/6 - -74. Let a be (3 - (-102)\/(-30))*(-30)\/4. Factor 0 + 1\/6*z**a - c*z**2 + 0*z.\nAnswer: z**2*(z - 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) 0.65 (b) -1 (c) 5 (d) -12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 97698?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 80*d**2 - 50*d + 23. Let t be i(-9). Round t to the nearest one hundred.\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 10*h**3 + h**2 - 3*h - 32. Let g(r) = r**3 + r**2 + r + 1. Let i(q) = -a(q) - 2*g(q). Find the second derivative of i(j) wrt j.\nAnswer: -72*j - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(1\/35)*d**(1\/3))**7 assuming d is positive.\nAnswer: d**(38\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5 - -4. Let x = q + -4. Suppose 5*f + 184 = 89. Which is the smallest value? (a) x (b) 1\/4 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -105\/1333484 and 45\/15416.\nAnswer: 2666968","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (12\/9 - 1) + (-12766)\/37752. Let f = 11049\/484 - c. Find the common denominator of f and -5\/69.\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 2*g = 2*g + 25, -4*r = 3*g + 11. Let y = 0.64 - 0.94. What is the smallest value in 3\/5, r, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 47*l**2 + l + 24*l**3 - 48*l**2 + 2 - 2*l. What is the lowest common multiple of 44 and d(1)?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -w**2 + 26*w + 22. Determine a(0).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a + g = 4*a - 22, -12 = -2*a + g. Suppose -4*j + 1 = -i, -16 = -a*i + j - 2*j. Solve -d - 2*t - 2 = 0, 0*d + i*d + 2*t + 2 = 0 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -7154 (base 12) to base 3.\nAnswer: -121212201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 79840347 by 1.\nAnswer: 79840347","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -2870, -5800, -8742, -11702, -14686, -17700, -20750?\n\"Answer: -w**3 - 2923*w + 54","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -18 + 41 - x - 22. Let y(s) be the first derivative of -s - 6. Determine u(b) + 3*y(b).\nAnswer: -b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*n**3 + 21*n**2 + 42*n + 9 = 0 for n.\nAnswer: -1, -1\/4, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 678283 to the nearest integer?\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 37 (base 12) in base 3?\nAnswer: 1121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = u**3 - 5*u**2 - 64*u - 19. Let x be z(11). Let n(j) = 55*j**3 - 5*j**2. Let o(g) = 28*g**3 - 3*g**2. Determine x*n(k) - 5*o(k).\nAnswer: 25*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 1 z when two letters picked without replacement from qvwkzkhz.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 11*u - 7. Let h(j) = -j**2 + 5*j + 17. Let i be h(8). Let x(n) = -6*n + 4. Let d(y) = i*x(y) - 4*o(y). Give d(-1).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*c + 7 = -7. Which is bigger: -11 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 141 and 329?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -2+24657886\nAnswer: 24657884","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 43 (b) -67 (c) -11 (d) -0.5 (e) -2\/55\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 9 = d, 6*d - 2*l - 6 = 10*d. Which is the nearest to 2\/5? (a) 1 (b) 6\/29 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.2, -1696884, -0.3, 2, -2, 0.1?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3257 times 2?\nAnswer: 6514","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 32*f**2 - 3*f + 11. Let d(h) = -11*h**2 + h - 4. Let i be 12\/(-15)*-5*1. Let b(r) = i*v(r) + 11*d(r). Let o be b(1). Solve -6*q - o = -4*q for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 1, t: 4, x: 4, g: 4, w: 3, e: 1}. What is prob of picking 1 t and 1 x?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = -5*r + 45, -r - w = -2*w - 9. What is the remainder when 14 is divided by r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3.2 + 3. Let z = 0.8 - m. Let d = 3 - 2.6. Put -4, z, d in decreasing order.\nAnswer: z, d, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 minus 3266672902.967?\nAnswer: -3266672902.667","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Product of 43.21 and 14.\nAnswer: 604.94","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out -95.85 - 0.04.\nAnswer: -95.89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 84 + -49. Let c be (0 + -8)\/((-7)\/i). Suppose 0*n = 4*n - c. What is the tens digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 27*k**3*u**2 - 1314*k**3 - 2*u**2 wrt u.\nAnswer: 54*k**3*u - 4*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 47500 (base 10) to base 3.\nAnswer: 2102011021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a meter in millimeters?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.10241571663 rounded to two decimal places?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 59*a - 44. Let u(l) = -21*l + 16. Let f(k) = -11*u(k) - 4*x(k). Let y(v) = 132*v**2 + 2*v. Determine f(y(j)).\nAnswer: -660*j**2 - 10*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 160603435?\nAnswer: 5, 1487, 21601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 29.069 - 0.069. Let m = 248.148 - 245.148. Which is the biggest value? (a) m (b) h (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = -8*q + 31. Suppose q*a - 60 = -7*a. Calculate the lowest common multiple of 27 and a.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - q - 16 = 0, -3*q + 6 = -4*m + 30. Let x(l) = m*l**2 - l**2 - 9*l**2. Let z(a) = a**2. Determine z(x(s)).\nAnswer: 49*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6794, -88, -2 in descending order.\nAnswer: 6794, -2, -88","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pcmpmmmcncpmc. What is prob of sequence np?\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*q + 32 - 7. Suppose -2*w = q*y - 225, y + 4*w = -15 + 60. What is the highest common divisor of y and 45?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one twentieth of a gram in milligrams?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0002298925 to 6 dps.\nAnswer: -0.00023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(-5)*(6\/(-45))\/(103\/((-121025)\/1974))\nAnswer: 2\/63","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(4\/7)*g)\/(g\/(g\/((g\/(((g**(3\/2)\/g)\/g)\/g*g))\/g)))*g**(-1\/2)*g**(-6) assuming g is positive.\nAnswer: g**(-38\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*k + 4*k = 20 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 105538?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-6 - (13 + -14)) + 1 + 5. Let x(k) = k**3 - 2*k**2 + 5*k. Let m(z) = z**3 - z. What is i*x(q) + 4*m(q)?\nAnswer: 5*q**3 - 2*q**2 + q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1207079.4 rounded to the nearest 100000?\nAnswer: 1200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 43*f**3 + 1858*f - 1858*f - 14.\nAnswer: 43*f**3 - 14","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.018? (a) 1\/7 (b) -7 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 smaller than 3\/3274?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 444490599?\nAnswer: 3, 7, 1471, 14389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4 - 1) + (-11 - -3 - -11).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20719.\nAnswer: 20719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.5, 5\/53, 4, 3\/8 in increasing order.\nAnswer: -0.5, 5\/53, 3\/8, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000241482081 to five decimal places.\nAnswer: 0.00024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x + 5*h + 11 = -0*h, -4*x = 2*h - 6 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 12214940 and 48859760?\nAnswer: 48859760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 2 = -4*b. Let c = b + 1. Suppose c = 4*x + k - 69, -x - 2*k + 90 = 4*x. Is x a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 111\/472724 and -25\/5081783.\nAnswer: 20327132","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 4345084 to the power of 1\/2, to the nearest integer?\nAnswer: 2084","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 437 a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 178144.2 hours?\nAnswer: 10688652","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -1963, -2462, -2899, -3274, -3587?\n\"Answer: 31*j**2 - 592*j - 1402","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3.35801653 or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 1 t when two letters picked without replacement from {t: 2, r: 3}?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l**2\/3 + 1451097992*l\/3 - 263210672798304008\/3 = 0.\nAnswer: 362774498","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is a + a?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aaak. Give prob of picking 2 a and 1 k.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor s**3 + 402*s**2 + 26427*s + 293930.\nAnswer: (s + 14)*(s + 65)*(s + 323)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -c**3 - 3*c**2 - 3*c + 8. Let a = -646 - -642. Let w(o) = o**3 + 4*o**2 + 4*o - 8. What is a*r(g) - 3*w(g)?\nAnswer: g**3 - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) be the second derivative of -20*l**3\/3 + 57*l**2\/2 + 11*l + 1. What is the tens digit of a(-5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5*j**5 - 551*j - 459*j + 35*j**3 - 10*j**5 + 7*j**5 + 2*j**3 wrt j?\nAnswer: 40*j**3 + 222*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*w**4\/2 + 4461*w**3\/2 + 8913*w**2\/2 + 4455*w\/2.\nAnswer: 3*w*(w + 1)**2*(w + 1485)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 7731228 and 988878.\nAnswer: 85043508","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 134991758591 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000539826 to four decimal places.\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 + 71*q - q**3 + q**4 - 75*q - 3*q**3 to b*q**2 + r + l*q + p*q**4 + g*q**3 and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 8734801 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23 = -j + 5*d, 10*j = 12*j - 2*d + 14 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 216681.7 minutes in seconds?\nAnswer: 13000902","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 603 (base 8) to base 13.\nAnswer: 23a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -1635*i - 2090 + 1335 + 370*i wrt i?\nAnswer: -1265","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 2*x**3 + 29*x**2 + 18*x - 11. Let g(q) = 2*q**3 + 28*q**2 + 15*q - 9. Determine -6*g(m) + 5*w(m).\nAnswer: -2*m**3 - 23*m**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 1721 (base 8) to base 5\nAnswer: 12402","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -4079 plus 58.15?\nAnswer: -4020.85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 61\/18 and -13\/126.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l = 2*q - 6, 2*l + 2*l = 2*q - 6. Let b = 53253\/17 - 3134. Which is smaller: b or l?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 318?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fffky. What is prob of sequence fy?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*h + 65820 = -7*h. What is the tens digit of h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1\/((-2)\/27)*804\/(-9). Suppose -5*r + b + 4316 = a, -2*r = -4*a - 2222. What is the thousands digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 6430 and 12217.\nAnswer: 122170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*((sqrt(1872)*-1*-5)**2 + ((sqrt(1872) - (sqrt(1872) + 1))*5)**2 - 1*(-1 + sqrt(1872) + sqrt(1872) + -1 + sqrt(1872))).\nAnswer: -144*sqrt(13) + 187308","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -12, -47, -110, -201, -320?\nAnswer: -467","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2460 - 1384. List the prime factors of s.\nAnswer: 2, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -652 or 1472?\nAnswer: 1472","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16 = -5*b + l, -11*b + 27 = -15659*l + 15665*l for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of y**4*z - 11*y**4 + y**3*z - 4*y**3 + y**2*z - 166*y**2 wrt y.\nAnswer: 24*y*z - 264*y + 6*z - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 2*d**2 + 18*d + 13. What are the prime factors of s(-12)?\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*s**3 + 20*s**3 - 13*s**3 + (0*s + 2*s - 7*s)*(-4*s**2 + 3*s**2 - 5*s**2).\nAnswer: 34*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.585 + -10.385. Let l = -94.2 - -105. Let y = l + t. Which is the second biggest value? (a) y (b) 0 (c) 11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-27)\/42*(113 - 120).\nAnswer: 9\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (72\/(-10))\/(22\/(-55)). Let y be c*((-22)\/(-6) - 3). Let a be (-64)\/(y\/16 - 1). Calculate the highest common factor of 32 and a.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1515*5182.\nAnswer: -7850730","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -46, -92, -142, -196?\n\"Answer: -2*y**2 - 40*y - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 9228 - 282306323\nAnswer: -282297095","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = -5*r + 184. Suppose -8*x = -3*d - 4*x + r, 0 = 4*d - 4*x - 60. What is the remainder when 27 is divided by d?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 7*f*l**3*x**3 - 3*f*l**3*x**2 + 25*f*l**3*x - 13*f*l**2 + 11*f*l*x**3 + 2*l**3*x**2 + 2*l**2 wrt x?\nAnswer: 42*f*l**3 + 66*f*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 743114289 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/(g*g*g*g*g**(-2\/3)*g))**(-2\/61)\/((g\/(g\/(g*g**(-6))))\/(g*g**(1\/3)*g)) assuming g is positive.\nAnswer: g**(454\/61)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 2, -7, -4 in descending order.\nAnswer: 2, -4, -5, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -4, -1118.\nAnswer: -1118, -4, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 2*d - 38. Let m be s(10). What is the lowest common multiple of 27 and (m\/30)\/(2\/(-50))?\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -n**2 - 24*n - 5. List the prime factors of a(-22).\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 346432 is divided by 543.\nAnswer: 541","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -1984 plus -4?\nAnswer: -1988","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) be the first derivative of -6*t**7\/7 + 7*t**3\/3 - 5. Find the third derivative of l(m) wrt m.\nAnswer: -720*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (14*i**2 - 32*i**2 + 16*i**2 - 1 + 8*i)*(-3*i**2 + 5*i**2 + 2*i**2).\nAnswer: -8*i**4 + 32*i**3 - 4*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 162635.61 seconds in minutes?\nAnswer: 2710.5935","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w = -5*r + 2*w - 5, -5*r - w = 5. Which is smaller: r or 21?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -42 < -203\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2.3 - 1.7. Suppose -3*q - 5*f - 287 = 0, -2*f + 8 = -2. Let s = q - -934\/9. What is the nearest to 5 in s, v, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 11*x - 11*x**3 - 6 + 4*x**2 - 17 + 19*x**2. Let d(l) = -2*l**3 + 4*l**2 + 2*l - 4. Let p(a) = -34*d(a) + 6*u(a). Factor p(w).\nAnswer: 2*(w - 1)*(w + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 24284227?\nAnswer: 11, 181, 12197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -9.860013 rounded to 0 decimal places?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 81*o - 1595864 - 35962. List the prime factors of o.\nAnswer: 2, 7, 1439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 874*v**3 - 8*v**2 + 25*v - 14. What is i(1)?\nAnswer: 877","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(170)\/(sqrt(20)\/sqrt(2)) + (-1*sqrt(17) - sqrt(17))**2*-3 + (sqrt(833) + 3)*1.\nAnswer: -201 + 8*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 616 minutes after 7:05 AM?\nAnswer: 5:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1609*i**3 - 1622.\nAnswer: -4827*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 26632 and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1163536803 to the nearest integer?\nAnswer: 1052","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = n**3 + 6*n**2 - 8*n - 6. Let q be a(-7). Let h be 0 - q\/(-2)*2. Let f be 141 + 1\/(h\/2). Round f to the nearest ten.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 230000600.\nAnswer: 2, 5, 79, 14557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -2*g**2 - 8*g + 5. Let t be c(-4). Suppose -p - 61 - 15 = -3*j, j = -t*p + 4. Let k be j\/81*(-9)\/(-6). What is the second biggest value in 2, k, -5?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10622 (base 9) to base 11\nAnswer: -5345","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -58821.573 + 580449?\nAnswer: 521627.427","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -9655 or -9767?\nAnswer: -9767","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.204 + 5.074. Let b = i - -0.13. Sort -2\/7, 2\/3, b in descending order.\nAnswer: b, 2\/3, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6475 a multiple of 62?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4872490, -4872482, -4872460, -4872418, -4872350, -4872250, -4872112?\nAnswer: -4871930","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -t - 5*t + 3*t. Let f(s) = s. Let r = -70 - -72. Let a(m) = -20*m. Let k(w) = r*a(w) + 50*f(w). What is k(b(g))?\nAnswer: -30*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 - -3 - 3) + (2 - 0).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 24089761 divided by 43?\nAnswer: 560227","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ccbncbcbkccc. What is prob of sequence nbb?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 6*v. Let s(p) = 3*p + 4*p - 2*p. Let x(t) = -4*k(t) + 5*s(t). Let j(h) = -6*h. Give -2*j(o) - 10*x(o).\nAnswer: 2*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -2052*d**3 + 323*d**2 - 323*d. Let g(z) = 19*z**3 - 3*z**2 + 3*z. Calculate -646*g(y) - 6*o(y).\nAnswer: 38*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 14, 20, 18, 8?\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*v**3 - 356868*v**2 + 10597177836*v + 935317279776.\nAnswer: 3*(v - 59522)**2*(v + 88)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3290 - 3290.1. Which is the closest to s? (a) -0.56 (b) -2\/3 (c) 1\/5 (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 701464, 701466, 701468, 701470, 701472?\nAnswer: 701474","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -u**2 - 6*u - 5. Let t be x(-7). Let b(d) = -d**2 - 11*d + 16. Let z be b(t). Solve z = 4*i + 8 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -a**2 - 6*a. Let y be o(-5). Suppose -4*l = -5*t + 37, -4*t - 4*l = -y*t + 17. Solve t*w - 1 + 21 = 0 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 510 and 90?\nAnswer: 1530","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 27, 0, -32, -5, -49.\nAnswer: -49, -32, -5, 0, 1, 27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1843500\/(-60)*(14 - (2 - 0)). Round m to the nearest 10000.\nAnswer: -370000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000446 to 6 dps.\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 - 4194\/(-1080) - 119\/17 - 4\/30.\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -545, -899, -1253, -1607, -1961?\n\"Answer: -354*y - 191","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*l**2 + 141140268*l - 2490071906388978.\nAnswer: -2*(l - 35285067)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z*z**15*z**(-6\/25) assuming z is positive.\nAnswer: z**(394\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = v**2 - 6*v + 4. Let d be f(6). Suppose -66 = -d*i - 10. What is the tens digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 122537760 to the power of 1\/3, to the nearest integer?\nAnswer: 497","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is x in 5*x**3\/3 - 155890*x**2 + 311760*x + 3741280\/3 = 0?\nAnswer: -2, 4, 93532","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 420, 411, 392, 357, 300?\n\"Answer: -q**3 + q**2 - 5*q + 425","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -q**3 - 8*q**2 + 7*q + 56. What is n(-6)?\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 12 and 55807791?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 45\/27*(1 - 0) + -3.\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 5\/4 of a microgram?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) be the third derivative of q**5\/60 + q**4\/18 + q**3\/18 + 3*q**2 + 1. Factor h(w).\nAnswer: (w + 1)*(3*w + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1566108041.\nAnswer: 19, 2237, 36847","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 34 divide 22788?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) be the first derivative of 32\/3*w**3 + 8 + 3*w**4 - 8*w + 6*w**2. Suppose v(m) = 0. What is m?\nAnswer: -2, -1, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 278 (base 14) to base 5.\nAnswer: 3443","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -33.448 rounded to the nearest ten?\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -446*k - 463*k + 3*k**2 + 1373*k - 464*k - 539*k**3.\nAnswer: -539*k**3 + 3*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.2 and -0.0698.\nAnswer: 0.1302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11 - (9 + -7 + 8).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 132042 by -1119.\nAnswer: -118","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -o**3 - 14*o**2 + 5. Suppose 2*f - 7 = -35. Let q be x(f). What is the second derivative of i**q - 12*i - 2*i + 5*i wrt i?\nAnswer: 20*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -1 + 2*i**2 - 4*i**2 + 0 + i**2 - 5*i. Determine a(-6).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -696 + (-3 - (-1 - -1)). Let f = 1433\/2 + u. Find the common denominator of 0 + -6*(-7)\/(-10) and f.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 0 - 0 - 9\/(-36). Let n = -2 - -7. Which is the closest to w? (a) -4 (b) 4 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2)\/19 - 17578\/(-209). Suppose -27*k = -29*k + l. Is 39 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -17714 or -17717?\nAnswer: -17717","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 321924 and 27939?\nAnswer: 417","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6639*n - 6657*n = 3*d + 105, -134 = -4*n + 2*d for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 973*m**5 - 12747*m**2 wrt m.\nAnswer: 58380*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5? (a) -2 (b) -2\/5 (c) 0.3 (d) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 610 minutes after 8:57 AM?\nAnswer: 7:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -2609 - -5?\nAnswer: -2604","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21*n + 30*n - 3*n**3 - 475*n + 20*n + 404*n.\nAnswer: -3*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 40\/(-7) - (-8)\/(-28). Let v(r) = 5*r - 10. Let n(f) = -14*f + 32. Let m(s) = w*n(s) - 17*v(s). Give m(0).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 45128927 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 555*w + 130*w - 303*w - 40064 = -870*w for w.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -214539912 by 18.\nAnswer: -11918884","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/3, 1, 4\/9, 0.3, 0.34.\nAnswer: -1\/3, 0.3, 0.34, 4\/9, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 167\/84 and -99\/28.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = g**2 + 3*g + 21. Is 15 a factor of h(11)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7087632 a multiple of 149?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9*((95\/19)\/(-30))\/(2\/(-4))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/(-1*(-28)\/24*-2).\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 210\/(-180) + 678\/(-36).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (21\/(-15))\/((-1876)\/1005).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (6 + 0)*138\/9. Let g = 102 + r. Is 195 at most as big as g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*j**2 + 37 - 42 + 15.\nAnswer: -4*j**2 + 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = -7*s - i + 23, 0 = 4*s - 5*i - 1. Solve s*r = r + 15 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -727 - 92*h**3 - 498 - 388*h**3 - 881*h**3 wrt h?\nAnswer: -4083*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -38*f + 3*v = -40*f + 4, -10 = -5*f - 2*v for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 12972870 divided by -23630\nAnswer: -549","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 + (1 + 8 - (31 + -13))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine h, given that -357*h**2\/4 - 729*h\/2 - 30 = 0.\nAnswer: -4, -10\/119","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -6 + 11. Is v equal to 6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1035*u - 1037*u + 3 = -3*o, -3*u - 2*u = -15 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -49442 divided by 2224?\nAnswer: -24721\/1112","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.1 or -26021?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n = -10 - 6. Suppose 4 + 0 = n*f. Let z be -2 + (-42)\/(-46) + f. Which is the third smallest value? (a) z (b) 5 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -259258*i**2 - 2*i + 322346?\nAnswer: -518516*i - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 2*c + 3*c + 22 = 0, 4*c = 3*h - 23. Let q = 80 - 51. Let k = q - h. Does 14 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 472 minutes after 4:20 AM?\nAnswer: 12:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 145016.1 millilitres?\nAnswer: 145.0161","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (28 - -1) + (-1165 - -1178)\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 498575?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -3*t + 19 + 8*t + 4*t + 2*t. Let b(i) = 2*i + 3*i + 9 - i + i. Let c(g) = 13*b(g) - 6*w(g). Give c(3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.281826 to 2 decimal places.\nAnswer: 0.28","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -2272 to the nearest 100.\nAnswer: -2300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*u + 6 = 24. Let h be (0 + -3)\/u + 13\/(-5). Is h smaller than -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u when two letters picked without replacement from {b: 2, u: 4}?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.1245 or -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = -4*u - 4*s + 22, u - 6 = -s. Let q(c) = -c**3 - c**2 + 5*c + 1. Let b be q(u). What is the remainder when 334\/4 + (b - (-3)\/2) is divided by 17?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-4)\/(14\/8*(-30)\/(-105)). Let r(o) = 11*o**2 + 9*o + 69. Is r(l) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.11 in -27, -2\/9, 1?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*b + 4 + 5, 4*q - 4*b - 20 = 0. Suppose -2*v = -q*k - 10, -v + 2*v + k = 3. Solve 5*a = -2*s + 3*s - v, -3*a - 8 = -2*s for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) be the second derivative of -5*d**4\/12 + 8*d. Let v(x) be the second derivative of -x**4\/6 - 2*x. Calculate q(v(k)).\nAnswer: -20*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 2002, 254, -1494?\n\"Answer: -1748*j + 3750","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(132) + 1*(sqrt(132)*2 + sqrt(132)) - sqrt(132))*-5)\/(sqrt(1200)*-2*4 + sqrt(1200) + sqrt(1200) + 3*sqrt(1200)*3 + sqrt(1200)).\nAnswer: 3*sqrt(11)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2187*j + 2182*j = 4*o - 1986, -4*o + j = -1974. What is the least common multiple of 2 and o?\nAnswer: 494","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -52*d + 1367. Calculate t(51).\nAnswer: -1285","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 65 - o**2 + 29*o**3 + 54 - 24*o**3 + 3*o - 116. What is w(-2)?\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 542 is divided by 103.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -5654892 divided by -942482?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gu when two letters picked without replacement from ggbhmbbbgcbuu.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.75 - -0.788. What is z rounded to 1 decimal place?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -280*i**2 - 174*i**3 + 164*i - 28*i**2 + 2*i**4 + 37*i**3 + 119*i**3 - 452*i.\nAnswer: 2*i*(i - 18)*(i + 1)*(i + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) be the second derivative of -f**9\/15120 - f**8\/2100 + f**7\/840 + f**3\/6 - f**2\/2 - 140*f. Let i(u) be the second derivative of b(u). Factor i(h).\nAnswer: -h**3*(h - 1)*(h + 5)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1134 - -1136. Which is the fifth biggest value? (a) 0.3 (b) -4 (c) -2\/11 (d) 2\/665 (e) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-18)\/(-441)*(19 + -5 - 7)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 144337028 divided by -2?\nAnswer: -72168514","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000019495611 rounded to six decimal places?\nAnswer: 0.000019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0006097 rounded to four decimal places?\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 3 + -2 + -3 - -4. Suppose 7*k + 609 = -4*c + f*k, 0 = -4*c - k - 589. Let o = 210 + c. List the prime factors of o.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2)\/(-6)*2*(0 + 12\/(-8)). What is the biggest value in -5, -344, 0.4, s?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 12*b**3 - 7*b**2 + 4*b - 9. What is w(2)?\nAnswer: 67","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -339*-48.\nAnswer: 16272","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = l**2 - 3. Let t be v(-3). What are the prime factors of t\/(5\/(60\/9))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-8)\/72*2\/2*(-12)\/6\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -12*d**2 - 52*d + 2. Suppose -6*q - 13 = -3*q - 4*l, -q - 8 = -5*l. Let h be t(q). What is the greatest common divisor of h and 1600?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1\/(-2) + (-21)\/(-6). Suppose 0 = n*s - 9*s - 20760000. Round s to the nearest 1000000.\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -166 + 168. Suppose 4*n - c = 16 - f, n - 7 = 2*c. Sort -16, -2, -1, n in descending order.\nAnswer: n, -1, -2, -16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - 1 - (-3 + 2)) + 0?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -400, -688, -964, -1222, -1456?\nAnswer: -1660","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 + 2 + 130*r - 89*r to the form s*r + o and give s.\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 1*((-6)\/(-8))\/(15\/20)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 210141 divided by 9.\nAnswer: 23349","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 13*v**2 - 47*v - 14274. Calculate h(35).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -20*h + 24*h + 18*h + 46*h - 2 in the form s + m*h and give s.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 6, x: 1, d: 2, t: 5, p: 1}. Give prob of sequence trd.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 504 minutes after 12:15 PM?\nAnswer: 8:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 18 = -5*b, -32 + 13 = -5*b - n. Suppose b*m = -0*m. Solve 9 - 5 + 6*s + m*s**2 + 2*s**2 = 0 for s.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -f**3 - 3*f**2 + 6*f + 1. Let z be g(-6). Suppose 2*h - z = -11. List the prime factors of h.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*p + c = 8*p - c + 156 - 42, 5*p - 2*c - 16*c = 63 for p.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -20*d - 1. Let c(v) = -5*v. Let g(z) = 9*c(z) - 2*w(z). Let x(j) = 9*j - 4. Suppose -4*m - 7 = 9. Calculate m*x(u) - 7*g(u).\nAnswer: -u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 243 minutes after 7:16 PM?\nAnswer: 11:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) be the third derivative of -5*x**4\/6 + x**2. Let a(z) be the first derivative of -z**3\/3 - 104. What is c(a(g))?\nAnswer: 20*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-57 - 166*f**2 - 119*f**2 + 57)*(-2*f**3 + 0*f**3 + 3*f**3).\nAnswer: -285*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(2\/21)*j**2*((j*j**1*j)\/j)**(-3\/25)*j**(-2\/3)\/(j**(1\/6)*j)*(j*j\/(j**0*j)*j*j)**(-19) assuming j is positive.\nAnswer: j**(-59827\/1050)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4828 = 583*i + 1727*i + 11758 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6776, -6683, -6592, -6503, -6416, -6331, -6248?\nAnswer: -6167","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3977 - 76*u**2 - 11916 + 3969 + 73*u**2 + 3970 + 2*u**3.\nAnswer: 2*u**3 - 3*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 56826?\nAnswer: 2, 3, 7, 11, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -k**3 + 20*k**2 + k + 2. Let x be w(20). Let a = x - 20. Calculate the greatest common factor of 18 and a.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 3024 = -2*a + 6*r, -r - 4562 = -3*a. What is the hundreds digit of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5 - -27. Suppose 0 = o - 1 - 1. Suppose s = -t + o*t. List the prime factors of t.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*q = 19*q + 15*q - 636. What is the highest common divisor of q and 7968?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m = 20, o = 4*m - 2*m + 23. Suppose -o + 1 = -5*r. Solve 8*c**2 - 16 - 8*c**3 + 56*c - 4*c**2 - r*c**3 = 0 for c.\nAnswer: -2, 2\/7, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -2 + 4 + 4*u - 3*u. Suppose 3*w - 21 = 52*o - 49*o, 0 = -3*o - w - 5. What is s(o)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11 + (-3 - (31 - 11)).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*u + 4*r + 8, -975*u + 970*u = -r + 9 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*h = -7*h - 112. Suppose 76 = 4*s - 3*k, -17 = 5*s - 2*k - h. Solve -4*f + s = 3*l, 0*f = l + 2*f - 9 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 591 minutes before 8:24 PM?\nAnswer: 10:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 equal to 20277\/2560?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 3327*b**2 - 11*b - 3. Is y(2) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -s**3 + 30*s**2 - 33*s + 118. Give k(29).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 128691207 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*m**2 + 2*m**2 - 3*m**2)*(-1 + 0 + 2)*(-9*m - 43*m - 3*m) + (3*m**2 + 3*m**2 - 5*m**2)*(1 - 1 - 2*m) - 2*m**3 + 0 + 0.\nAnswer: -114*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -117939724 divided by 4212133\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4201, 4206, 4211?\nAnswer: 4216","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j**0)**(16\/9))**(-28))**(1\/17) assuming j is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -3, -2, 0 in decreasing order.\nAnswer: 5, 0, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k - 11 = 2*b - 16, -5*k + 5*b = 0. Sort 5, -6, 3, k.\nAnswer: -6, k, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8611?\nAnswer: 79, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 20 (base 16) to base 7.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w when two letters picked without replacement from {s: 1, w: 3}.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 4 - 249?\nAnswer: -245","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) be the first derivative of -2*w**2 + 5738. Let l(g) = 13*g + 13*g + 8*g - 4*g. Calculate o(l(j)).\nAnswer: -120*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c - 246 = -11*c. Let f = c + -38. Let 2*s**5 + 3*s**5 - 51*s**3 + 36*s**f + 10*s**2 = 0. Calculate s.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5*a*j**6 + 4*a*j**4 + 7*a*j**2 + 2*a*j - 2638*a - 55262*j**3 - 2*j**2 - 78 wrt j.\nAnswer: -600*a*j**3 + 96*a*j - 331572","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5\/3, -0.19, 0.2 in increasing order.\nAnswer: -5\/3, -0.19, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4320, -4303, -4286, -4269, -4252, -4235?\nAnswer: -4218","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 105, -5\/2, 70, -4\/7, 0?\nAnswer: 105","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(1\/11)\/k)**10 assuming k is positive.\nAnswer: k**(-100\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -15 + 18. Let f be 15602\/6 - 1\/j*1. Round f to the nearest 1000.\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 477 + -476.822. Let w = 0.478 - t. Let f = -2 - -1. What is the smallest value in 1, -4, f, w?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/8 of a kilometer in centimeters?\nAnswer: 87500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = b + 1 + 0*b**2 - b**2 + 3*b - b**2. Let t be a(3). Let h = 162\/7 - 472\/21. What is the nearest to 1 in -0.3, t, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) be the second derivative of q**6\/15 + 11*q**5\/10 + 2*q**4\/3 - 15*q**2\/2 + 5*q + 86. Find the third derivative of h(y) wrt y.\nAnswer: 48*y + 132","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = h**2 - 30*h + 86. Let u be j(28). Let f be (-80)\/u + 11 + -8. Factor 0 + 0*z - 5\/3*z**3 + 4\/3*z**4 + 2\/3*z**2 - f*z**5.\nAnswer: -z**2*(z - 2)*(z - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (-2*sqrt(5500) + 3*sqrt(1375))\/((sqrt(405) + -3*sqrt(405))*2) + 1.\nAnswer: -4 + 5*sqrt(11)\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 149652091 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.1 - -0.2. Let u = -7.7 + 11.7. What is the third biggest value in u, 3, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 3*g**2 - 34*g + 227. Calculate h(7).\nAnswer: 136","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101 - 10001101001110011101?\nAnswer: -10001101001110100010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve g**4\/2 - 12*g**3 + 83*g**2 - 132*g + 121\/2 = 0.\nAnswer: 1, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 807 is divided by 33.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 3 + -53353?\nAnswer: -53350","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -54, -53, -58, -75, -110, -169, -258, -383?\nAnswer: -550","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = g**3 - 5*g**2 - 4*g - 5. Give j(5).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 15112?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(5\/4))**(-1\/5)*(s*s**(-1\/2))\/(s\/s**27*s) assuming s is positive.\nAnswer: s**(101\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 4 or 411\/164?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 629 and 6919.\nAnswer: 6919","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -241*c**2*f**3 + 35*c**2*f + c**2 - 34*c*f**3 - 9*c*f + 8*f**3 + f wrt c?\nAnswer: -482*f**3 + 70*f + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 101 + -97?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*-1*(sqrt(2057)*-1*2 - (sqrt(2057) - (-1*sqrt(2057) + sqrt(2057)))**2*1).\nAnswer: -10285 - 110*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 45108?\nAnswer: 2, 3, 7, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + (5 - 1) + -7 + -1 + 2.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2867\/80 in 1, 0, -9?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -6772425 equal to 1\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -3*x**3 + 17*x**2 + x - 9. Let n = -100 - -107. Let v be i(n). Round v to the nearest 10.\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2965 + -2964.6. Let v be (-10)\/(-18)*12\/30. Let m be (-78)\/90 + (-4)\/(-6). What is the nearest to v in 1\/8, r, m?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 2*d + 4. Let a(o) = -5*o - 8. Let v(q) = a(q) + 2*f(q). Let u(i) = 2*i. Calculate -u(w) + 2*v(w).\nAnswer: -4*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -z**3 + 13*z**2 + 31*z + 17. Let w be (-5)\/(-3) + (-80)\/(-72)*12. Let o be f(w). Calculate the greatest common factor of 1024 and o.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) be the first derivative of w**3 - 2 + 0*w + 0*w**2 + 6\/5*w**5 + 0*w**4. Find the third derivative of n(x) wrt x.\nAnswer: 144*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 1255 = -0*v. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-one fifths of a micrometer in nanometers?\nAnswer: 6200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -699 and 7773?\nAnswer: -5433327","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-24)\/28*(2975\/200)\/(-17)?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -12434 * 0.080804.\nAnswer: -1004.716936","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -198, 3\/5, -12, 1 in descending order.\nAnswer: 1, 3\/5, -12, -198","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2 - w - 2 + (-4 + 0 + 3)*(0*w + w - 3*w) + 2 + 2*w - 2 - 4*w + 5*w + w + 0*w + 1 - 2 - 3*w.\nAnswer: 2*w - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2)\/6 + (-90)\/(-27). Let q(r) = -r**2 - 7*r - 2. Let x be q(-6). What is the derivative of -t*z**2 - 2 + 3*z**2 - 2 + 3*z**x wrt z?\nAnswer: 12*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/5 of a litre in millilitres?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of ((-238)\/102)\/((-5)\/24135*1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 15358 - 15353. Let b(l) = -l**2 + 2*l - 4*l - 2 + 6*l. Calculate b(p).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z = -z - 188. Suppose -7*h + 187 = z. What is the highest common divisor of h and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*t**2 + 3*t**2 - 7*t**2 + 430*t**3)*(-4*t**2 + t**2 + 2*t**2).\nAnswer: -430*t**5 - t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 306 - 5816\/19. What is the nearest to -3 in a, -13, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1007.20932 to the nearest one hundred.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 19835 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + (5 - 6) + (2 - -5)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 859 a factor of 275530263?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 63 divided by 9\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2\/4 + (-248)\/(-16). Let b be (z - 9)*(-102)\/(-7). Is b\/(-3)*33\/(-6) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -8 + 146*r - 7*r**2 - 71*r + 2*r**3 - 84*r - 3*r**3. Let u(d) = d**3 - 5*d**2 - 7*d. Let z be u(6). Determine l(z).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -55*w + 51*w = 0. Suppose 5*g + 4644 - 14149 = w. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Round -0.000004268 to 7 decimal places.\nAnswer: -0.0000043","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + 15 + 0 + 2 + -9142 + 9127 + -90.\nAnswer: -88","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 19755 to the power of 1\/2, to the nearest integer?\nAnswer: 141","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, 6, 3, -3, -5, -253 in decreasing order.\nAnswer: 6, 3, -3, -5, -7, -253","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (sqrt(55)\/((sqrt(100)\/sqrt(5))\/sqrt(4)) - (1 + (sqrt(275)*-5)**2 + sqrt(275))).\nAnswer: -6878 - 4*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.0578 and 0.278864?\nAnswer: -0.0161183392","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = r**2 + 5*r + 6. Let o be u(-4). Let j = 11 + -11. Differentiate -6*v**2 + 0*v**2 - 4 + j*v**2 + 2*v**o with respect to v.\nAnswer: -8*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -8 - -13. Let v be 3\/3 - 1*-9. Let r = v - 8. What is the second smallest value in r, b, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 35*g**2 + 138*g + 4. Determine p(-4).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.3? (a) 0.2 (b) 6\/11 (c) 0.04 (d) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 3 + 0)*(o - 3 + 3)*(-733*o**3 - 121*o**4 + 733*o**3).\nAnswer: 242*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 313511.\nAnswer: 11, 2591","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (18\/(-24))\/((-91)\/(-26)*153\/(-84))?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -2*a. Let m(l) be the third derivative of l**7\/5040 - l**5\/60 - l**2. Let x(z) be the third derivative of m(z). Determine w(x(y)).\nAnswer: -2*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1079 + -796. What is the hundreds digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 921285479 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 54 and 56?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 3830.811 to the nearest ten.\nAnswer: 3830","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -8*d. Let s(j) = j**3 + j + 1. Let n(p) = 8*s(p) + v(p). Differentiate n(a) wrt a.\nAnswer: 24*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 13 + -3. Suppose 2*n - n = c. Is (n - -1) + 0 + 2 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17987113.\nAnswer: 17987113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -212210 - 12113300?\nAnswer: -12332110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 36 - 33. Let s(y) = 0*y**2 - 4 + j + 9*y**2 - 489*y + 488*y. Determine s(-1).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y - 4 = -20. Let k be -2 + (-2 - (41 - 3)). Let r = -38 - k. Solve 0 = -y*c - 4*s + 8, 4 = c + c + r*s for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 30\/(-12)*1596\/(-855)?\nAnswer: 14\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 21, 39, 55, 69, 81, 91?\n\"Answer: -j**2 + 21*j + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*r**5 + 29492163*r**3 + 116726168*r**2 wrt r.\nAnswer: -180*r**2 + 176952978","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = d + 9. Let w be j(-7). Suppose 3*s - 5*m + 11 = 0, -17 = s - w*m + 7*m. Which is the nearest to 2\/7? (a) -3 (b) 1\/7 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ww when two letters picked without replacement from {w: 3, q: 11}.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-195)\/(-39)*(-4)\/10?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + v + 185 = 0. Suppose c - 5*w = 240, 3*c = -4*w + 962 - v. Suppose 0 = -8*s + 3*s + c. What is the highest common divisor of s and 34?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.05 less than 138.4?\nAnswer: 138.35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 4181a - -8?\nAnswer: 41827","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1516*d*g - 2*g - 34 wrt d.\nAnswer: 1516*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -i**3 + 14*i**2 + 34*i - 28. Let y be t(16). Factor 6*v**2 - 2*v**5 - 2*v**5 + 46*v**y - 20*v**3 - 30*v**4 + 2*v**2.\nAnswer: -4*v**2*(v - 2)*(v - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*q + 1565 = 1645 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -56 - -1?\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 13423324?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-1)*n)**24\/(n\/(n**(-1)\/n)*n**(-1)) assuming n is positive.\nAnswer: n**(-2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 2, f: 3, t: 2, v: 6, z: 3}. What is prob of picking 1 z and 2 t?\nAnswer: 3\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1032)\/9 - 1\/3. Let l = -61222 + 61107. Is l less than or equal to o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -528 (base 9) in base 11?\nAnswer: -362","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 190*h**3 - h**2 + 2*h - 1. What are the prime factors of i(1)?\nAnswer: 2, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = 20, -90 = -0*v - 2*v + 2*o. Calculate the lowest common multiple of v and 45.\nAnswer: 450","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 448\/(-8)*-16*(-8)\/512?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uyuuuuuuuuuuyyyuyy. Give prob of sequence yyyy.\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -139\/70 and 55\/12.\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 55483222?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = q. Let b be c(9). List the prime factors of (-4)\/(-18) + 124\/b.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23108 a multiple of 95?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 68 is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 2*j**2 + 8*j - 13. Is a(8) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:19 PM and 3:09 PM?\nAnswer: 110","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4 + -2. Let r be ((-2)\/(-5))\/(1\/20). Let t = r - s. 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 closest to -0.9824 in 1\/10, -0.06, 3?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -512844*d - 990 = -512646*d for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2\/(3\/(6*1)). Suppose 2 = -a + d. Suppose 0 = -a*g - 11 + 39. Calculate the least common multiple of 22 and g.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.283 and -3.\nAnswer: -0.849","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ypyuyyoyyoypyy. Give prob of picking 1 u, 2 y, and 1 p.\nAnswer: 72\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.189 + 2.811. Which is the nearest to w? (a) -1 (b) 1\/8 (c) -28\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.956 + -0.9559933. Round x to 7 dps.\nAnswer: 0.0000067","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 554442 >= 21068839\/38?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:19 PM and 8:46 AM?\nAnswer: 687","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-16\/3)*(v*v**(-4\/13))\/v)**(1\/54) assuming v is positive.\nAnswer: v**(-110\/1053)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*((p**12*p*p)\/p)\/p)**(-35)\/(p*p**(-5)\/p)**(1\/4) assuming p is positive.\nAnswer: p**(-1815\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 397, 387, 375, 361, 345, 327?\nAnswer: 307","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -h**3 - 15*h**2 - 15*h - 14. Let p be y(-14). Sort p, 0.5, -1, 5 in descending order.\nAnswer: 5, 0.5, p, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) be the second derivative of 381*c**8\/14 - 1055*c**4\/6 + c**3\/3 + 2882*c + 1. What is the third derivative of s(q) wrt q?\nAnswer: 182880*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by -26\nAnswer: -1\/26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35 = 5*j + 5*y, 0*y = 4*j + y - 13. Suppose -4*c - j*c + 270 = 0. Calculate the remainder when c is divided by 16.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 15 - ((-3)\/(-1) - 3). Let x be (-1)\/(-5) - 48\/q. Let m(v) = 4 + 4*v + 4*v - 4*v. What is m(x)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -15*p + 29*p - 270 - 3*p**4 - 14*p + 61 - 9*p**2 wrt p.\nAnswer: -12*p**3 - 18*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xxxxxxccxcxxxxxx. What is prob of sequence cxxx?\nAnswer: 33\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 - 1 + 4)*(-2*x - x + 1 + 0*x)*(3 + 17 - 9) to k + n*x and give n.\nAnswer: -66","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of f*m**4 - 54*f*m**3 - f*m**2 + 134*f + m**4 + 2*m**2 wrt m.\nAnswer: 24*f*m - 324*f + 24*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 170759 a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 302, 616, 944, 1292, 1666?\n\"Answer: n**3 + n**2 + 304*n - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-21*x - 22*x**4 + 21*x)*(-3*x + 0*x + x) - 1147*x + 64*x**5 + 1147*x.\nAnswer: 108*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -237, -236, -233, -228, -221?\n\"Answer: a**2 - 2*a - 236","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1.132 or 2?\nAnswer: 1.132","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 1 t when two letters picked without replacement from {t: 6, x: 7, a: 6}.\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 65 and 117?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9523?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/10)\/((-2)\/12*-6)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -1629*j**2 - 8 + 3017*j**2 - 5 - 1896*j**2 in the form w*j + l + y*j**2 and give l.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*h - 3*t - 12 = -20*h, 3*t = 0. Let i(j) = -6*j**3 - 3*j**2 - 10*j + 10. Let q(f) = 2*f**3 + f**2 + 3*f - 3. Calculate h*i(d) + 14*q(d).\nAnswer: 4*d**3 + 2*d**2 + 2*d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 2953 to the power of 1\/2, to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-1)*v**(1\/8)\/v*v**(4\/9)\/v**(1\/4))\/(v*v**(1\/14)\/v*v*(v\/(v\/(v**(3\/8)\/v))*v*v)\/v*((v*v\/(v*v**(-2\/7)\/v)*v)\/v)**41) assuming v is positive.\nAnswer: v**(-6101\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*p = 3*p + 633. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 895 and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -17 + (-50823)\/(-54) - (15\/(-18) + 1) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s - 5*r + 3482 = -3*r, 0 = r + 5. What is the common denominator of (2\/3)\/(1036\/s - 1) and -69\/2?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -70 - ((-2409)\/83 - 590\/(-24485)).\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by 1062.\nAnswer: 2\/531","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -593*r - 3187. Determine d(-6).\nAnswer: 371","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 2*o**2 + o - 4. Let c(q) = 0 - 2 - 4 + 5. Give -2*c(s) + f(s).\nAnswer: 2*s**2 + s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n**3\/5 + 356154*n**2\/5 - 3561372*n\/5 + 5698144\/5 = 0. Calculate n.\nAnswer: 2, 8, 178067","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1343*m + 3872 + 306*m**2 - 206*m**2 + 241*m + 4*m**3 - 268*m**2 = 0. Calculate m.\nAnswer: -2, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 224 and 336.\nAnswer: 672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13207*s**2 + 26347*s**2 - 13173*s**2.\nAnswer: -33*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 2a (base 12) in base 9?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.5 + 0. Suppose 11*a - 12 = 8*a. What is the smallest value in m, a, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = a**2 + 24*a + 140. Calculate b(-12).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2016 and 54.\nAnswer: 6048","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -9 and -7537?\nAnswer: 67833","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*l + l + 6. Let q be 0*(-2 + (-9)\/l). Let b = 4 + q. Solve -b = 3*z + 2*j, 3*z = -4*j + 3*j - 8 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:30 AM and 12:47 PM?\nAnswer: 197","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Product of -3 and 16492411.\nAnswer: -49477233","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2129308477.\nAnswer: 83, 25654319","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Are -33692172 and -33692172 unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 190 - (-82 - (-40 + -176))?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8.439889 millilitres to litres.\nAnswer: 0.008439889","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 255*p**3 + 1256*p**2 - 94*p - 38. Determine j(-5).\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -14511, -29019, -43527, -58035, -72543, -87051?\n\"Answer: -14508*z - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1892, 1896, 1900, 1904?\nAnswer: 1908","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -s**2 + 2*s + 15. Let i = 19 + -14. Let y be x(i). Solve 4*b = -5*n + 35, y = 3*b + 2*b - n - 22 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*r - 2*r - 2*r)*(433 + 652 - 264) + 2*r + 2*r + 0*r.\nAnswer: -817*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 1 (b) 1\/6 (c) 2\/23\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-21)\/(-12))\/(35\/90))\/12?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*n**3 + 2*n**3 - n**3)*(2*n**2 + 1 - 1) + (-150 + 150 - 121*n)*(-n**4 + 2*n**4 + 10*n**4).\nAnswer: -1325*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4*a**2*c**4 - a**2*c**2 + 33*c**4 - 434*c**2 + 1 wrt c.\nAnswer: 96*a**2*c + 792*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 11600000 rounded to the nearest 100000?\nAnswer: 11600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = -4*o + 712, -51*o - 1824 = -5*q - 50*o. What is the remainder when q is divided by 40?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 421.\nAnswer: 421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 8 - 4. Let q be 0*3*(-2)\/(-12). Suppose q = -2*h + 31 - 7. Calculate the least common multiple of n and h.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 44177 - 1.3911?\nAnswer: 44175.6089","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:05 AM and 4:50 PM?\nAnswer: 705","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1109629037?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12 divided by -11410.\nAnswer: -6\/5705","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 18\/14 + (-6)\/21. Let n = 235\/3 + -77. What is the closest to n in t, 1\/7, 1\/3?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 27 + -23 - (1 + 4).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h = -2*m - 13, -m + 0*h - 2 = h for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -9.95 + 10. Let c = 11.85 - 16.9. Let n = c + k. Sort -0.3, n, 0.3 in increasing order.\nAnswer: n, -0.3, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 6, q: 1, s: 2, b: 3}. Give prob of sequence vbv.\nAnswer: 3\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 360.5 + -361. What is the nearest to 1 in -7\/3, n, -14?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(33) + sqrt(33))\/sqrt(11))**2*4.\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pddddnn. Give prob of picking 3 d.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find z, given that -6*z**2 + 4199301*z - 2099649 = 0.\nAnswer: 1\/2, 699883","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 295899 is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29*s + 33 = 18*s for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u - a + 2*a = 0, 4*u - 5*a = 0. Suppose u = -5*m + 73 + 177. Is m a multiple of 34?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2009970?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3450 and 211462?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1d - -93658?\nAnswer: 93676","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: ((-17)\/(-51))\/(((-6)\/423*(-5)\/10)\/1)\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2 and 175086.\nAnswer: 175086","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) be the second derivative of p**5\/20 - 57*p. Factor w(z).\nAnswer: z**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 171500 rounded to the nearest 10000?\nAnswer: 170000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 2*m**2 + m - 12. What is j(-4)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1 + -11)\/(-2)*1. Let p(h) be the first derivative of h**4\/8 + h**3\/6 - 15*h**2\/2 - 5. Let d(q) be the second derivative of p(q). What is d(c)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2487 + -8091. Let k = m - -582787\/104. What is the common denominator of 77\/16 and k?\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1386 divided by 22?\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-1\/6))**(13\/6) assuming b is positive.\nAnswer: b**(-13\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in fifteen quarters of a micrometer?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 326\/7? (a) 0.4 (b) 0.3 (c) -1\/2 (d) -2\/13 (e) -1\/3 (f) 164.61\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -9.65 times 218\nAnswer: -2103.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 10\/(-110)*4\/(-2)\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 37 + -4. What is the lowest common multiple of k and 24?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k, 1 j, and 1 a when three letters picked without replacement from qanjakj?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v - 30 = -5*m - 2*v, 0 = 2*v + 10. Suppose 0 = 6*h - m*h - 27. Let l(n) = -25 + 4*n**2 - n**3 + n**2 + 5*n + h. What is l(6)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 313842032083 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -29 - -20 - (-6)\/2.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**1\/b*b)\/b*b**(3\/2))\/(b\/(b**(-1\/8)\/b*b*b)*b**(-2\/13)) assuming b is positive.\nAnswer: b**(159\/104)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1140273859 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -40*k + 122*k - 13*k - 39*k - 34*k.\nAnswer: -4*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -126526 - -1393022\/11. Let n be (-3)\/4 - 3239763\/(-28644). Let u = k - n. Which is greater: -1\/4 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 402 and 268?\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1637981 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7637?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1212110 (base 3) in base 15?\nAnswer: 60c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve u**2\/3 - 5063770*u\/3 + 6410441653225\/3 = 0.\nAnswer: 2531885","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 11859233 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (131*r**2 - 348*r**2 + 137*r**2)*(-1 + 1 - 1)*(1 + 3 - 3)*(-3 + 0 + 6).\nAnswer: 240*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/(-3)*(-2934)\/(-815)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (6\/(-12))\/((-45)\/(-30))\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 481723760?\nAnswer: 2, 5, 7, 41, 20981","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -221 (base 3) to base 15.\nAnswer: -1a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 922812167 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 vth term of 263, 545, 885, 1301, 1811?\n\"Answer: 3*v**3 + 11*v**2 + 228*v + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 152206, -25 in descending order.\nAnswer: 152206, 0, -25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -9 equal to -0.01864212?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2185 and 34390?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = -1 - 5, 0 = 5*g + 2*x - 744. Let j = g + -50. Calculate the remainder when j is divided by 20.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -4, 11\/4, 14, 3, -0.3?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c - 10 = -52. Calculate the least common multiple of (-16)\/3*(-21)\/7 and c.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hhfhhhfhhfhfhhhf. Give prob of picking 2 h.\nAnswer: 11\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 129698083 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -19*k + 13*k**2 - 16*k**2 + 2*k**2 in the form n*k**2 + g + i*k and give i.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 7*q - 25. What is the least common multiple of 159 and m(5)?\nAnswer: 1590","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 6\/5 of a kilometer?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is seven eighths of a gram in milligrams?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-6*sqrt(121)*1)\/(sqrt(704) + sqrt(44)))**2.\nAnswer: 99\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1538.819 + 1541. Let k = -2.17043 + g. Round k to 4 dps.\nAnswer: 0.0106","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7\/33981 less than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/13, -4, 2\/5 in decreasing order.\nAnswer: 2\/5, 1\/13, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Total of -309 and 7498.\nAnswer: 7189","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*s - 2*s - 12. Let f be 5\/(-1)*6\/s. Let z(o) be the first derivative of -o**2 - o + 15. What is z(f)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 6625347, 6625348, 6625349?\n\"Answer: b + 6625346","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) be the third derivative of p**8\/2520 + p**7\/45 + 259*p**6\/900 + p**5\/2 - 1089*p**2 + 4. What is i in l(i) = 0?\nAnswer: -25, -9, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -w**3 + 7*w**2 - 3*w + 3. Let j(m) = -m**3 + 7*m**2 - 2*m + 2. Give 3*j(p) - 2*x(p).\nAnswer: -p**3 + 7*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 467*j + 394. Give h(-2).\nAnswer: -540","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6152 is divided by 2029?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) be the second derivative of -q**5\/50 + 3*q**4\/10 - 9*q**3\/5 + 27*q**2\/5 - 4*q. Factor u(o).\nAnswer: -2*(o - 3)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1569 and -191469.\nAnswer: 300414861","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 90 minutes before 7:31 PM?\nAnswer: 6:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 18*(1 - 66\/(-12)). Calculate the greatest common divisor of 429 and t.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-132)\/10)\/((-10)\/(900\/27)). Solve n*c = -209 - 11 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-41)\/((-328)\/(-112))*(-3)\/(-15).\nAnswer: -14\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 471275?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lileeelemhhe. What is prob of picking 1 i and 1 e?\nAnswer: 5\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*g + 2*g - 7*g + g.\nAnswer: 2*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 4450000 rounded to the nearest one hundred thousand?\nAnswer: 4500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 14 and 2296.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 21, 99, 233, 429, 693, 1031?\n\"Answer: a**3 + 22*a**2 + 5*a - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 86 + 13207*a**3 + 2*a**2 - 86.\nAnswer: 13207*a**3 + 2*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k = 4*g + 747, 2*k + 3*g - 41 + 344 = 0. Let m = k + 296. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-3)\/9)\/(3\/(-18)). Suppose i + p*i - 9 = 0. Suppose -a = -i*a. Solve 2*n - 3 - 1 = a for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 208328?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 135*j = 131*j + 44. Let d(f) = 3*f**2 + 8*f - 22. List the prime factors of d(j).\nAnswer: 3, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*a**2 + 638096*a\/5 - 25524\/5 = 0.\nAnswer: -6381, 1\/25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 73045 divided by 10435\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:27 PM and 3:13 AM?\nAnswer: 706","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + 2*3*(sqrt(1331) - (sqrt(1331) + 0 + 4) - ((-2*sqrt(1331) - sqrt(1331)) + 2)).\nAnswer: -34 + 198*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -15.9 + 15.5. What is the nearest to -5 in -1\/8, o, 1?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + 3 + -8 - 10\/(-2)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/(l\/(l\/l**(-9\/2)))*l**13)**6)**14 assuming l is positive.\nAnswer: l**1554","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -b**3 + 11*b**2 - 15*b - 7. Let k be y(6). Suppose 92 = 87*j - k*j. Suppose -2*p + 7*p - 560 = 0. Calculate the remainder when p is divided by j.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yxrxbsx. What is prob of sequence bys?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*s**2 + 51018*s + 102048.\nAnswer: -3*(s - 17008)*(s + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1060 and 30952?\nAnswer: 154760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -8*j**2 - 309*j + 1928. Give m(6).\nAnswer: -214","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (65\/15 - 5)\/(2\/(-657))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = -s + 258. Suppose 5*i = s + 64. Suppose -i = -6*x - 0. Solve -w = -4*n + 3, 2*w + 5 = 5*w - x*n for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ez when two letters picked without replacement from {e: 1, y: 2, b: 1, o: 10, z: 1, u: 5}.\nAnswer: 1\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 24351?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3 + 213*f**5 - 4*f + 15*f + 11 - 125*f**5 + 216*f**5 wrt f.\nAnswer: 6080*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 18\/5 of a century?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*m - 2*j + 8, 8*j - 12*j + 19 = -5*m for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) be the third derivative of -f**7\/2520 + f**6\/80 + 7*f**5\/120 - 17*f**4\/8 - 55*f**2. Let y(h) be the second derivative of u(h). What is y(5)?\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 10 - -368aa?\nAnswer: 368ba","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide 90 by -9.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1117 is divided by 184.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + s + 140 = o, -4*s = -4*o + 520. Let b = o + -129. Let a(w) = -w**3 - 4*w**2 + 4*w - 1. Give a(b).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 2, m: 1, n: 2, z: 4, h: 1}. Give prob of sequence mzhw.\nAnswer: 1\/630","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 313 is divided by 77.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/(-20)*(-7)\/21*-12?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (2*(-1*sqrt(175))**2 - (-4 + 1*sqrt(175))) + -3.\nAnswer: -5*sqrt(7) + 355","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 15 + -1 + (0 - -8 - 8) - -47 - 10\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z when two letters picked without replacement from oiseeuuzzuuue?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put together -64027 and 3.\nAnswer: -64024","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -68405, -68416, -68427, -68438, -68449?\n\"Answer: -11*t - 68394","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = m**3 + 10*m**2 + 5*m + 169. Give c(-11).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 4, p: 11, s: 3}. What is prob of picking 2 y and 1 p?\nAnswer: 11\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t - 25 = -7, 0 = 3*p + t + 513. Is p less than -174?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = y**2 + 3*y + 3. Let h be m(-3). Solve 0 = -3*n + 2*n + 5*t + 4, 5*n = -h*t + 20 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by 78?\nAnswer: -1\/78","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*o - 518 = -552 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 48.3 - 48. Sort 1\/4, k, 0, -4 in decreasing order.\nAnswer: k, 1\/4, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (16\/(-4))\/((-6)\/15). Suppose -u*o - o = 33. Which is the nearest to 2? (a) o (b) 4 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 6042 - 6040. What is the nearest to -2\/3 in 0.2, -0.3, l, 0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d = -u - 462, 6*u - 9*u = 6. Let k be -1 + d\/28 + (-2)\/7. What is the highest common factor of 156 and k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence twsi when four letters picked without replacement from {k: 2, s: 3, t: 1, w: 7, i: 3, f: 3}.\nAnswer: 7\/10336","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 2*g**2 - g + 57. Let m be b(0). Suppose 27 = 2*t - m. Does 14 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00203318 rounded to five decimal places?\nAnswer: -0.00203","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -w**2 + 6*w - 1. Let s be l(7). Let p(r) = r**3 + 7*r**2 - 9*r - 1. Calculate the remainder when p(s) is divided by (-5 - -2)\/((-2)\/2).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-1)\/2)\/((-4)\/32). Suppose 0 = v*l - 6*l + 6. Let n = l - -1. Does 4 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) be the second derivative of -w**4\/4 - 3*w**2\/2 + 25*w. Differentiate a(n) wrt n.\nAnswer: -6*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xnds when four letters picked without replacement from {n: 1, d: 1, s: 3, x: 2, g: 1, t: 5}.\nAnswer: 1\/2860","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = d**3 - 4*d**2 - 3*d + 6. Suppose 4 = 2*q - 6. Let m be t(q). Let y be (-1*(-32)\/(-12))\/(4\/(-6)). Calculate the highest common divisor of y and m.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -j**3 - 7*j**2 - 4*j + 6. Let w be v(-6). Let x be 3*(26\/9 - 3)*w. Find the third derivative of 15*r**4 + 18*r**x - 36*r**4 + 23*r**4 wrt r.\nAnswer: 48*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n = h - n + 46, h - 4 + 8 = -n - 42 for h.\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 23, 13, 3?\n\"Answer: -10*t + 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 54 plus -74.7?\nAnswer: -20.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-26)\/(-12) - (-1 + 3). Let u = 36.3 + -36.101. Let d = u - -0.001. Is m <= d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c = 14*m - 16*m + 12, -3*m - m + 15 = c for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 - (-37 - (-3 - 6)) - 10?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -13 + 13.1. Is -1\/3 greater than or equal to j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1.058652 + -1.066. What is c rounded to three dps?\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 5*m**2 + 7*m - 23. What are the prime factors of d(4)?\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -891*h + 8*h**3 + 888*h + h**2 - h**2 to y*h + b*h**2 + o + f*h**3 and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*l + 4*l - 112. Suppose 24 = z - 5*p, 3*p - 2 = z - 22. What is the highest common factor of z and l?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 180*p + 182*p - 380*p. Let a be ((-6)\/8)\/(3\/(-12)). Let c(b) = a*b**2 - 2*b**2 + b - b. Determine q(c(z)).\nAnswer: -18*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) be the third derivative of 503*b**9\/252 + b**5\/15 + 299*b**3\/6 - 2*b**2 - 135. What is the third derivative of g(a) wrt a?\nAnswer: 120720*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*d - 2280 = -33*d. What is the least common multiple of d and 35?\nAnswer: 665","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 828957 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-12)\/(-15)*(-3)\/(-12).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 219552 to the power of 1\/3, to the nearest integer?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*i + 2*i + 2111344 = 0. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 748.8851g in milligrams?\nAnswer: 748885.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*z - 4*j - 8, 0 = 4*z - 2*j - 7 - 9. Suppose -4*g + 0*g = 0. Solve -5*m + z*m = g for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*q - 20654 - 1592 = -805*q + 36434 for q.\nAnswer: 72","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a + 4*j + 2015 - 2119 = 0, 45*a - 2*j = -140 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 107 times 27\nAnswer: 2889","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) be the third derivative of 0*k + 5\/6*k**3 - 59 + k**2 - 1\/4*k**4 - 1\/2*k**5. Find the second derivative of f(q) wrt q.\nAnswer: -60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13 divided by -13.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uqgruquu. Give prob of picking 1 q, 1 u, and 1 r.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((p\/p**21)\/p)\/p)\/((p*(p**16*p)\/p)\/p*p)*((p**3\/p)\/p)**(-5\/3))**(1\/18) assuming p is positive.\nAnswer: p**(-61\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1\/2, 2, -0.1, -5, -0.005, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 520472.\nAnswer: 2, 17, 43, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 462368715.\nAnswer: 3, 5, 61, 505321","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 339*y - 109*y - 3220 = 0 for y.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 96 and 80.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) be the third derivative of 7*a**6\/120 - a**5\/30 - a**4\/12 - a**3\/6 - 9*a**2 - 1. What is g(-1)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*t**2 - 636457760*t - 50634810033027200.\nAnswer: -2*(t + 159114440)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) be the first derivative of -x**2 - 76. Let j(n) = -n. Let g(r) = 5*j(r) - 3*s(r). Let w(v) = 272*v**2. Determine g(w(b)).\nAnswer: 272*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 10099 + -10098.5. Sort 0.1, f, 3, -1\/7, 0.0461.\nAnswer: -1\/7, 0.0461, 0.1, f, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3390 + 3393. What is the fourth biggest value in 1\/3, 20.8, k, 2?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-10)\/g)\/g*g*g**(-17)*((g\/((g**(-17)*g)\/g))\/g)\/(g*g**(-10)) assuming g is positive.\nAnswer: g**(-2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 - (5 - 3) - -6?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -139 - -139. Let c(d) = 4*d + 5. Let w(i) = 17*i + 21. Let u(j) = 9*c(j) - 2*w(j). What is the lowest common multiple of 4 and u(q)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -39967 by 17.\nAnswer: -2351","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -411 - -3299\/8. Let m = 9068\/107 + -900013\/7490. Let c = m - -194\/7. What is the common denominator of c and d?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide -1*(7 - 8 - 251*1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 125249 is divided by 11383.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 442629177?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 1, i: 1, y: 4, s: 4, r: 5}. What is prob of sequence yr?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h = 63 + 5. Suppose 6 = 10*t - 8*t. What is the remainder when ((-392)\/(-12))\/(2\/t) is divided by h?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y = -2*h + 42 - 0, 4*y - 87 = -5*h. Let r(g) = 0*g - 4*g - g + h + g. Let x(z) = -2*z + 7. Calculate 6*r(l) - 13*x(l).\nAnswer: 2*l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/7, -0.4, 4, 45\/7 in descending order.\nAnswer: 45\/7, 4, -2\/7, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*d**3 + 4*d**3 + 2*d**3)*(612 - 195 - d + 2*d + 168).\nAnswer: 11*d**4 + 6435*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/(((c*c**(6\/7)*c*c*c)\/c)\/c))\/(c\/(c\/(c**3*c))))\/((c*c**(-1)\/c*c)\/(c\/(c**(1\/5)*c*c))) assuming c is positive.\nAnswer: c**(-247\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uyyu when four letters picked without replacement from {u: 3, y: 5, c: 4, q: 2, l: 5}?\nAnswer: 5\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -0.6 (b) -0.5 (c) 2 (d) -12 (e) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2 - 2 + 2)*(0 - 4 + 1) - 3 + 5 - 3)*(2*p - 2*p + p).\nAnswer: -7*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -177 + 179 + 9\/(-5). Let d = -0.4 - -0.36. What is the third biggest value in d, x, -4, -5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24\/(-198)*6\/(-4).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o**(-2\/21)\/o*o)\/o)\/o)**(-29)\/((o**(1\/13)\/o)\/o**(-18)) assuming o is positive.\nAnswer: o**(11926\/273)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 268 - 336. Find the common denominator of (-322)\/32 - (p + 61) and (-986)\/704 + (-28)\/(-154).\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -833005277*y**2 - 138754190*y.\nAnswer: -1666010554","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k = -4*v - 2*k - 6, 4*v = -4*k + 24. Let w be (7 + v)*-1*200. What is w rounded to the nearest one thousand?\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -12*h + 4. Let f = h + 75. Is 19 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1109930*m**3*v - 22*m**2*v - m*v - 11*m + 25*v wrt m?\nAnswer: 6659580*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3457539958919 + 2?\nAnswer: 3457539958921","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27 = -22*a - 5*a for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 88 in 4, 0.4, 2.2, 1?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 13*c**4 - 27*c + 27*c + (-3*c + c + c)*(2*c**3 - 4*c + 4*c).\nAnswer: 11*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*w - 3*w + 5*w + 7*w - 4 + 2 + 0 + (-4*w + 6*w - w)*(2 + 2 - 3) - 5*w + 6*w + 0*w - 7*w - 29 + 29 as q + l*w and give l.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) be the third derivative of -72075*g**4\/8 + 7*g**3 - 19*g**2. Let n be a(-16). Suppose n = 12*j - 3860358. Round j to the nearest one hundred thousand.\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 165680 rounded to the nearest ten thousand?\nAnswer: 170000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5 + 9. Suppose 10*z - 5*z - 22 = -g*i, -5*i + 11 = -2*z. Suppose 0 = -i*k + 28 + 17. What are the prime factors of k?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine f so that 2*f**4 + 308*f**3 - 14040*f**2 + 191308*f - 848042 = 0.\nAnswer: -193, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -12*x**2 + 21*x + 7. Give a(5).\nAnswer: -188","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -m**2\/3 - 65834*m\/3 - 1083528889\/3.\nAnswer: -(m + 32917)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.237991 micrograms to grams.\nAnswer: 0.000009237991","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -110 + 46. Let a = 49 - s. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 373874.1 centimeters?\nAnswer: 3738741","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -12*((-198)\/108 + 2\/(-12)). Suppose -g*b + 25*b - 120 = 0. What is the least common multiple of 8 and b?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 158158 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -g + 7. Let t be z(-10). Suppose 3*w = -4 - t. Suppose h - 2 = -l - 10, -2*h - 16 = -l. Is w greater than h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = d**3 - 15*d**2 + d - 7. Give z(15).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 546195?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 64 - -11. What is the tens digit of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 minutes after 7:13 PM?\nAnswer: 7:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by 53316\nAnswer: -5\/53316","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1 + -55?\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 4172088480 a multiple of 672?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -11 - (-11 - (-7 + -3)) - (13 - 85).\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 49571864?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4\/(-4)*(-1445 - (1 - 0)).\nAnswer: 2, 3, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.0365, 0.4, -3.\nAnswer: -3, -0.0365, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5341338?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (9 + (-15 + 2 - 14) - 5) + 81?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 10*w**2 + w**3 - 3157 + 3157 + (4 - 1 - 2)*(-w**3 + 2*w**3 + 0*w**3) + 0 + 1 + 0*w**3 - w**3.\nAnswer: w**3 + 10*w**2 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 47501 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 6, e: 5, a: 4, n: 1}. What is prob of sequence efa?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4532 and 51040?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 101100 (base 2) in base 11?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s = 2*l, -l - 3*s = 3*l. Let x = 0.2 + 0.6. Let c = x + -1. What is the closest to c in l, 0.3, 4\/7?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/48*(-36480)\/480.\nAnswer: 19\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 1032447, 1032446, 1032445, 1032444, 1032443?\n\"Answer: -x + 1032448","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (218\/(196854\/5805))\/(3\/42)?\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -97*d - d**4 - 9*d**3 - d**2 + 97*d to the form k*d**4 + z*d**2 + a + u*d + c*d**3 and give c.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 324 minutes before 2:42 AM?\nAnswer: 9:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 96455819959 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -23891551.201292 + 23891506. Let p = -45.2 - l. Round p to 4 decimal places.\nAnswer: 0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l - 25 + 4 = -k, 0 = -4*k + 2*l - 6. Let a be ((-40)\/5)\/k + 0 + 17. Solve -3*s - 4*f = a, 2*s + 2*f = -2*f - 18 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -i + 1. Let v be s(-5). Suppose 10 = -o + v*o. Suppose d = 2, 6*d - 20 = -3*n + o*d. Which is smaller: n or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 24*j**2 - 33137*j + 33372 wrt j.\nAnswer: 48*j - 33137","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 4*k**2 - 1. Let s(l) = -169*l**2 + 4. Calculate 3*c(q) + s(q).\nAnswer: -157*q**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 3*f + 33. Suppose -7*o + 2*o = 25, 50 = 5*y - 5*o. Let l(v) = 4*v + 33. Calculate y*x(z) - 4*l(z).\nAnswer: -z + 33","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 77651317 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3578 is divided by 26.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*j + 59 + 37. Let u be 2\/(j\/(-9))*4. Suppose 0 = -c + u*c. Sort c, -5, 4.\nAnswer: -5, c, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -f**2 - 9*f - 2. What is the lowest common multiple of i(-5) and 52?\nAnswer: 468","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u = -c - 35, -25 = -0*u + 3*u - c. Let i(o) = o**2 + 10*o. Let l be i(u). Which is greater: 1\/3 or l?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2917\/5 - 583. Let i be (3\/(-2) + 1)\/((-190)\/76). Factor -g + 1\/5*z**2 - i*z.\nAnswer: (z - 2)*(z + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -26, -237, -914, -2327, -4746, -8441, -13682?\nAnswer: -20739","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-21*(-90)\/(-27))\/(-2*4). Do 8 and w have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 266474 - d**2 - 133189 - 133231.\nAnswer: -d**2 + 54","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2958260, -2958261, -2958262, -2958263, -2958264?\nAnswer: -2958265","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wwx when three letters picked without replacement from wqqxqcwcqw.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*w + 15 - 31. Let v = 25 - w. Solve 4*h + v - 5 = 0 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -67707 divided by -3\nAnswer: 22569","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that -3*t**2\/4 + 142190217*t\/2 - 6739352603502363\/4 = 0.\nAnswer: 47396739","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r**3\/5 - 7*r**2\/5 - 4*r\/5 + 12\/5 = 0. What is r?\nAnswer: -6, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4 + 8. Let z(f) = f**3 + 4*f**2 + 3*f - 4. Let k(t) = t**3 + 5*t**2 + 4*t - 4. Let y(b) = s*z(b) - 5*k(b). Let i be y(-8). Solve 4 = -i*l - 0 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -159.5 + 234.6. Let g = v + -69. Round g to zero dps.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 55 - 60. Suppose 3*u + 6 = u. Suppose q + 5*o + 16 = 0, -o + 1 + 1 = -5*q. Put q, -9, u, t in decreasing order.\nAnswer: q, u, t, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (42*9\/54 - (8 + -1))\/(-2). Let d(f) be the third derivative of 0*f**3 + 0 - 22*f**2 + 1\/3*f**4 - 1\/15*f**6 + 7\/15*f**5 + z*f - 2\/15*f**7. Factor d(b).\nAnswer: -4*b*(b - 1)*(b + 1)*(7*b + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 2*b**3 + 23*b**2 + 10*b + 5. Let i be x(-11). Let o(z) = 22*z. Let r be o(8). Calculate the highest common divisor of i and r.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 14 = -8. Let x = -7 + y. Suppose -2*q + 10 = 4*z, -5*z - x - 11 = -3*q. Do z and -3 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*w + 3*w**2 - 2 - 2 - 4*w)*(2 - 2 + 1).\nAnswer: 3*w**2 - w - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 167\/1680 and -191\/4936260?\nAnswer: 19745040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 42 = 12. Suppose -3*n = -4*n - 7. Let x = n - -13. What is the highest common divisor of x and j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -642, -640, -636, -630, -622, -612?\n\"Answer: u**2 - u - 642","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (3 + 40\/(-2))*(-1 - 0)?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 979 divide 95174240?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 (base 12) in base 4?\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4412750.\nAnswer: 2, 5, 19, 929","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.15 and -0.02.\nAnswer: -0.003","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 4*g + 4*u - 13, 2*u = g + 11. Let z = -24 + 12. Let x be (z*6\/g)\/(-1). What is x rounded to the nearest 10?\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -195, -188, -183, -180?\nAnswer: -179","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5408 + (4 - ((7 - 10) + 4)).\nAnswer: 7, 773","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -96 minus 1309999919393?\nAnswer: -1309999919489","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 431 + 891*z**2 + 304 - 892*z**2 - 753.\nAnswer: -z**2 - 18","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000071023 rounded to 4 dps?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 213 divided by -25360.\nAnswer: -213\/25360","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, 1632.1, -1, -17\/4 in ascending order.\nAnswer: -17\/4, -1, 0.1, 1632.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (20*y + 17*y - 3 + 2 - 2*y - 3*y + 3*y + (-y - 1 + 1)*(0 + 3 - 1) + 4*y + 4*y - y - 2*y + y + 2*y)*(0*y - 3*y + y).\nAnswer: -82*y**2 + 2*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = s**3 + 2*s**2 - 4*s + 7. What is q(2)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 481815?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -664, 2028, 9328, 23540, 46968, 81916?\nAnswer: 130688","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1640 and 40?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*p + 29 = -5*t + 54, 5*t - 50 = 10*p for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -22005339, 1 in descending order.\nAnswer: 4, 1, -22005339","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10301303 is divided by 1144589.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (b - 1 - 7*b + 4*b)*(3*b - b + b).\nAnswer: -6*b**2 - 3*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 167 = -5*m + 57. Let k = -8 - m. Suppose -15*h + 9 = -k*h. Is 11 at least h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 443 - 461.3. Let n = d + 18.7. Let p = -9.1 + 1.1. Which is greater: p or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -1*5\/50*-2. Which is the fourth biggest value? (a) v (b) -3 (c) -0.6 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 30 and 35790?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/((14\/(-2))\/7)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = l + 23. Calculate s(-6).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = -3*a - 3*y + 661, 2*y - 2 = 0. Suppose 57 = r - 4*b - 177, -b = r - a. What are the prime factors of r?\nAnswer: 2, 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3091066649 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ihoioiiooiu. What is prob of sequence ohu?\nAnswer: 2\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yeyyeeeeyy. What is prob of picking 1 y and 1 e?\nAnswer: 5\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -303, -624, -911, -1146, -1311, -1388?\n\"Answer: 3*r**3 - r**2 - 339*r + 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -p**2 + 11*p + 15. Let f be t(12). Find the third derivative of -f*g**2 - g**6 + 0*g**6 - 7*g**6 + 0*g**2 wrt g.\nAnswer: -960*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 139930951.\nAnswer: 113, 1238327","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -662 + 716.3. Let s = -329.3 + f. Let a = 273.79 + s. What is a rounded to 1 decimal place?\nAnswer: -1.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((r\/((r*r**(-3))\/r))\/r)\/r)\/(r**1\/r))\/(r*r*r**(-1\/2)*r)**(-7))**(-29) assuming r is positive.\nAnswer: r**(-1131\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tttyyttyuttttatytua. What is prob of sequence ttya?\nAnswer: 55\/5814","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) 2.9 (b) -4 (c) 0.14 (d) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 257754?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-13)\/7 - -2)*(-1)\/(-1). Suppose 4*x - 2*x = -8. Let m be (3 - 0) + (-195)\/35 + 2. What is the third smallest value in c, x, 3, m?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -554 + 802. Let g = -176 + n. What are the prime factors of g?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 36554177?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 541875?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 430 minutes after 4:15 AM?\nAnswer: 11:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 5 (base 8) to base 14\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -10850*r**2*s**3 - 57*r**2 - 4*s**3 + 22*s**2 wrt s?\nAnswer: -65100*r**2 - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4 (base 11) to base 9.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -113\/49423284 and 143\/1830492.\nAnswer: 49423284","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 7\/4 in 0.16, 0.3, 28, -3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -6468383 less than 0.8?\nAnswer: 6468383.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1098251 a multiple of 33?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (0\/(-1))\/2 + 8. Let d(q) = -q**3 + 9*q**2 - 8*q + 5. Let l be d(y). Suppose 2*z = l*z - 30. Calculate the remainder when 29 is divided by z.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 48.5972915 to 1 dp.\nAnswer: 48.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-8481)\/(-180) + -2 - 2. Let s = -173\/4 + b. Is s >= 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = q + 8. Let m be c(-5). Let i(d) = d - d**3 - m*d**2 - 4*d + 3*d. What is i(-3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 151508 divided by 3?\nAnswer: 151508\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = -5*d, 3*y + 5*d + 0*d - 13 = 0. Suppose 2*i**2 - y*i**4 - i**3 - 4*i**4 + 13*i**4 + i = 0. Calculate i.\nAnswer: -1, -1\/2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 2*k**2 - k + 2. Give z(1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-112)\/(-18) + (-2)\/9. Let m(w) = -w + 4*w - 5 + j*w + 18. Let h(s) = -10*s - 14. Let k(c) = -2*h(c) - 3*m(c). Find the first derivative of k(y) wrt y.\nAnswer: -7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -20 - -22.1. Let h = 13522.8962 + -13525. Let r = x + h. Round r to three dps.\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -549505733, -1099011469, -1648517205, -2198022941, -2747528677, -3297034413?\n\"Answer: -549505736*w + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -l**2 - 44*l - 22. What is the remainder when 684 is divided by u(-40)?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(-6)\/t**(2\/7))\/(t**(2\/7))**(-33))**(-10) assuming t is positive.\nAnswer: t**(-220\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -3475216379 rounded to the nearest one hundred thousand?\nAnswer: -3475200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 1, r: 1, l: 1, n: 2, x: 2}. What is prob of sequence xlr?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1660*b - 12 = -1656*b for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/2 in -0.184, -4\/3, 2\/3, 922?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.4411824 rounded to 1 dp?\nAnswer: 2.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(-1 - (-18)\/15)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1800, 1619, 1536, 1731, 2384, 3675, 5784?\nAnswer: 8891","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w - 119 + 125 = 0 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 890402642 to the nearest integer?\nAnswer: 962","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*l + l - 3*l)*(-6 + 30 + 3)*(-l**3 + l - l).\nAnswer: 54*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -2425\/7 < -345?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -430222 (base 7) to base 3\nAnswer: -10210020221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6561 is divided by 3068?\nAnswer: 425","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = -6*k + 8. Suppose 2*q - k*a = -0*q + 12, -2*q - 8 = 2*a. Suppose -q = -g + 10. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1\/5 - 231\/(-70) - 2. Solve -o*i**2 + i**4 - 1\/2*i**3 + 1\/2 + 1\/2*i = 0 for i.\nAnswer: -1, -1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 98 minutes before 10:29 PM?\nAnswer: 8:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b = -4*q + 55, 2*q = -5*b + 96 + 19. Suppose 9*o + b = 14*o. Solve o*h - 6 = 2*t - 0, 4*t + h + 12 = 0 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1276 divide 33019870?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4057937.\nAnswer: 13, 283, 1103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3 + -3 + 1 + 42. Let i = s + -30. What is the tens digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 4 + -376?\nAnswer: -372","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1718992 a multiple of 254?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 5*(1 - (5 - 13\/3))\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 26384.9967968 + -27042.99693. Let o = t - -658. What is o rounded to five dps?\nAnswer: -0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13394 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: 2 (base 12) to base 10\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(1377) + 1)*3*-2 + 1.\nAnswer: 19 + 162*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 4931 at least as big as -340?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l\/(l\/(l**15\/l*l)*l*l)*l)\/l)**(3\/8)*(l**(-3\/11))**(1\/23) assuming l is positive.\nAnswer: l**(5301\/1012)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1 and 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 426511 to the nearest integer?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 36 - 18. Let x = z + -14.5. Let g = x - 4. Put 0.2, g, 2 in decreasing order.\nAnswer: 2, 0.2, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4558\/5 - -912. Let s = -1 + 2. Let t = s - 0. What is the fourth smallest value in u, t, 3, 0.01?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42*p + 33911 = 113291. List the prime factors of p.\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -105\/272 and 111\/680?\nAnswer: 1360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3\/5 in -5, -0.04, 7, 5\/4?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 36 divide 330840?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -18.7 - -19. Which is the closest to n? (a) 1 (b) -0.2 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 715339 + 1?\nAnswer: 71533a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 11 or 5?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -3*y**2. Let c be r(-1). Suppose -t + 4*h - 18 = 0, t - 46 = 3*t - 3*h. Calculate the common denominator of 37\/2 and t\/c - (-7)\/(-21).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -23.24 in -12, -13, 3.7?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -329821*t - 329733*t + 659556*t.\nAnswer: 2*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 60127.8 years?\nAnswer: 6012.78","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -15 - i**2 + 21*i + 15 - 19. What are the prime factors of g(16)?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 4*x + 4*i = -13, -2*i = 4*x - 4. Suppose -309 = -0*y - x*y. Suppose -2*g + y = 5*z + 18, -g + 50 = 4*z. Is 10 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*i - 4*c - 101, -i - c = i - 43. Calculate the greatest common divisor of 1491 and i.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-168)\/4725)\/(12\/60)*15\/(-36)?\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 5*s - 14*s + 8*s - 5. Let y be h(0). Let j(z) = -z**2 - 6*z + 6. List the prime factors of j(y).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:03 AM and 5:03 PM?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b\/b**(-31))\/(b*b\/(b*b\/b**(2\/11))))\/((b\/(b*b**32))\/b**(-3\/17)))**(5\/6) assuming b is positive.\nAnswer: b**(19835\/374)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 213763?\nAnswer: 11, 19433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put together -17 and -0.9.\nAnswer: -17.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 74271?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 11146631 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 3\/25 of a kilometer?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (9 - 11)*((-1005)\/36)\/5 and 97\/24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3 - -1. Suppose g*k + 0*n + n = 0, 0 = -4*n. Let v = -6.5 + 6. Sort v, k, -3 in ascending order.\nAnswer: -3, v, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -866 - -3465\/4. What is the nearest to s in -4, 1, -0.095?\nAnswer: -0.095","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3412?\nAnswer: 2, 853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14350 is divided by 46?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 511208394 to the nearest integer?\nAnswer: 22610","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/3 in 1\/7, 0.05, 3, 5?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.45581 and -0.6.\nAnswer: -0.273486","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 - 16*k - 36*k + 10*k - 2 to the form n*k + t and give t.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 10 = 5. Let b = u - -9. Let l be ((-310)\/(-30) - 9)*3\/(-2). Is l < b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 5.51 from -0.3.\nAnswer: -5.81","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 60 minutes after 10:20 AM?\nAnswer: 11:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 6000000 to the nearest one million.\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = a + 4. Let t be -1*(0 + -4 + 1). Suppose -5*v - u + 3*u = -30, -5*v + 35 = -t*u. Let h(r) = -r**3 + 4*r**2 - 2*r + 3. Let x be h(v). Calculate p(x).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 321351367 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 49*n - 304*n - 3 + 3 - 89*n + 2.\nAnswer: -344*n + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 473558.5l?\nAnswer: 473558500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.5 - -0.4. Let g = -0.4 - f. Is 2\/9 at most g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11*7\nAnswer: -77","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r - 2396*z + 200 = -2329*z, 4*z = -2*r + 74 for r.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*m + 2*v = -26, 106*m - 107*m + 4*v = -16 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14\/(-5) - (-1)\/(-10)*2.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (8\/(-12))\/(3\/9)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 262*c - 209*c - 583 = 0 for c.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1032, -4252, -9618, -17130, -26788, -38592?\nAnswer: -52542","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) be the second derivative of 3\/2*i**2 + 3*i + 5\/6*i**3 + 0. Let j(d) = -10*d - 5. Let n(z) = -5*b(z) - 3*j(z). Determine n(1).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 30\/((-96)\/72*-3)*32\/528\nAnswer: 5\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zzzbzzzzzbzzzbbzzzbz. What is prob of picking 1 b and 1 z?\nAnswer: 15\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1036620 or -1036618?\nAnswer: -1036620","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + 199 = 2*r + 2*y, -5*y = 4*r - 405. Suppose l + 3*l - 104 = 0. Calculate the remainder when r is divided by l.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -665*g**5 + 2*g**4 - 2*g - 2 wrt g.\nAnswer: -13300*g**3 + 24*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 31 - 149. Let w = p + 130.6. Let l = w + -12.8. Which is the third biggest value? (a) 0.15 (b) -0.1 (c) l (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a + 3*i = 27 - 8, 8*i - 7*i = 3 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 24 and 21903776?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 9 in -0.04, 785, 4, -0.4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s when two letters picked without replacement from {s: 10, d: 2, q: 6}.\nAnswer: 5\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 584?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1294940143?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1 - 0)\/((-1)\/6). Suppose n = 5*j - 4*j. Let h(x) = 35*x - 414. Let d be h(12). Calculate the highest common divisor of d and j.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is o in -28*o**3 + 188461604*o**2 + 80769264*o = 0?\nAnswer: -3\/7, 0, 6730772","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.09739 + -10.90261. Which is the third biggest value? (a) t (b) 1\/2 (c) -3 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine g so that 2*g**3\/17 - 22*g**2\/17 - 2*g\/17 + 22\/17 = 0.\nAnswer: -1, 1, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f*(f**29*f)\/f*f*f*f*f\/(((f*f**(-12))\/f)\/f*f))\/(f**(-2\/15))**21 assuming f is positive.\nAnswer: f**(249\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*k + w - 11, 0 = 5*k - 2*w - w - 27. Let f(a) = a + 5. Let j(x) = x + 9. Give k*j(s) - 5*f(s).\nAnswer: -2*s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2 - -1020?\nAnswer: 1022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -4 + -b07?\nAnswer: -b0b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3 - -3. Suppose 3*c - 3 = -s. Let t(o) = 2*o + 6 - c + 1. Determine t(-5).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5*p*r**3*w**3 - p*r**3*w**2 + 252*p*r - 6353*p*w**3 + 16299*r**3*w**2 + 249*r*w**3 wrt w.\nAnswer: -30*p*r**3 - 38118*p + 1494*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 110 divide 106810?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 81611 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out 257 + 32569612.\nAnswer: 32569869","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.269651 rounded to 1 decimal place?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -21040120216 - -1?\nAnswer: -21040120215","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 357.1682 rounded to the nearest 100?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 401874 to the nearest integer?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -9*n - 8. Let o(c) = -6*c - 5. Let q(b) = 5*h(b) - 8*o(b). Let s(l) = 4*l - 14. Suppose 3 = 5*f - 4*m, -2*f + 2*m - 3 = -m. Let v be s(f). Give q(v).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -444*z + 451*z = -28 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jccj when four letters picked without replacement from jjjcdccj.\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 7\/5534 or -47?\nAnswer: 7\/5534","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -1525, -12036, -40599, -96250, -188025, -324960, -516091?\n\"Answer: -1506*v**3 + 10*v**2 + v - 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((j*j**(-3))\/j**4)\/((j\/(j\/(j**(2\/9)\/j)))\/j**(1\/7)))**(-2\/15))**(-3\/17) assuming j is positive.\nAnswer: j**(-128\/1071)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide 40 by 5.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 4*v**2 + 2*v + 2. Let m(h) be the third derivative of -3\/20*h**5 - 2*h**2 - 5\/6*h**3 - 5\/24*h**4 + 0 + 0*h. Give 5*l(x) + 2*m(x).\nAnswer: 2*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 10 + -3. Let w = -5 + u. Which is the nearest to w? (a) -2\/5 (b) 3 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = x + 5*c, 3 = -2*c - 1. Is 40\/37 at least as big as x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 0.3 (b) 0.2 (c) 20.3526 (d) -20\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*j - 3*j - 4*j)*(-8 + 3 - 1) to the form q + n*j and give n.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 130.\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11536 = 83*r - 63994. Is r a multiple of 171?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -25610215*p**2 - 14861697*p?\nAnswer: -51220430","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4120, -3997, -3874, -3751, -3628?\nAnswer: -3505","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1 - -3. Let u(d) be the third derivative of d**5\/60 + d**4\/8 - d**3\/3 + 4*d**2 - 1. Calculate u(s).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7 + 2 + 2)\/(10 + -8 + -5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c*c**(2\/7)*c)\/c)\/(c*c**6\/c))\/(c**4)**(-35) assuming c is positive.\nAnswer: c**(947\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + ((-1*sqrt(153) + sqrt(153))**2 - (-5 + -1*sqrt(17))**2).\nAnswer: -10*sqrt(17) - 40","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 8479.419 months?\nAnswer: 7.0661825","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 24836?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10011010 + 101?\nAnswer: 10011111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 744.7192um in meters?\nAnswer: 0.0007447192","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -868 + 810.1. Round g to the nearest ten.\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2)\/(-10) + (-2 - (-1924)\/5). Suppose -2*q + 397 = v. Solve -4*r + 3 = -q*r for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = 569*x - 571*x, -2*g + 5*x = -2503. Solve -g*v + 10 = -1224*v for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -101\/36 and 131\/269412.\nAnswer: 808236","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 7\/3 of a day?\nAnswer: 3360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -52 - -62. Suppose -k = 13*x - 49. Solve -x*s - 2*s = 0 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 690 minutes before 4:03 AM?\nAnswer: 4:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.5 - -1. Let o be (-6 - -9)*5\/3. Suppose 1 = q + o. Sort k, q, -1\/3.\nAnswer: q, -1\/3, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 4*4 + 0 - (-14 + 10). Let s be (3\/(-2))\/(g\/(-120)). What is the greatest common factor of 21 and s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 85 - 85 - 14*i**2 - i**2 + 0*i**2 - 6*i**2 + i**2 - 3*i**2 + 4*i**2 + 2*i**2 - i + i + (-2 + 2 + 1)*(-i + i**2 + i) as w*i**2 + f*i + t and give w.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 1100 = 59?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*i - 2924 + 9612 = 0. Is i a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 8 + -4. Suppose 0 = -4*x + g, 8*b - 5*b = x + 8. Solve -b*w = -k + 4, w = 3*w + 2*k - 8 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -25*b - 478 + 909 - 469 + (4 - 3 - 2)*(3*b - 2*b + 2*b).\nAnswer: -28*b - 38","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-99)\/(-55))\/((-12)\/(-40)). Calculate the highest common divisor of j and 69.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -57980617*s**3 + 2*s**2 - 122093475*s?\nAnswer: -347883702*s + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 437\/339 + 507617\/8136. Let h = -536\/9 + y. Let -15\/8*b**3 - 3\/4*b + 0 + h*b**2 = 0. Calculate b.\nAnswer: 0, 1\/5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2310 + -2309. Solve -u = -0*h - h for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1\/87, 0.04, -6\/11, 3, 1\/4, 2, -5?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 13121342?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (41 - 18 - 3) + -32?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 168\/32*(-48)\/18. Let l be (2932\/5)\/(n\/(-7000)). Round l to the nearest 10000.\nAnswer: 290000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = z**2 - 2*z + 3. What is x(0)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -164 + 175 + 4*g - 3*g. Let b be p(-4). Suppose -24 = -8*l + b*l. What is the greatest common factor of 16 and l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(-1\/8)*j\/(j\/j**(-2\/23)))\/((j*j**(-9))\/(j\/(j**(-3\/4)*j))))**28 assuming j is positive.\nAnswer: j**(10997\/46)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1624?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3 - -5. Let x(n) = 0*n**j - 2*n + 0*n**2 - n**2 + n. Let y(w) = 6*w**2 + 4*w - 1. Calculate 4*x(z) + y(z).\nAnswer: 2*z**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -9811, -9818, -9821, -9820, -9815, -9806?\n\"Answer: 2*u**2 - 13*u - 9800","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 44\/5 of a millimeter in micrometers?\nAnswer: 8800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 291118006 to the nearest integer?\nAnswer: 663","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kkllklkllklll. Give prob of picking 2 k and 1 l.\nAnswer: 40\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -c**2*n - 1312173*c**2 - 2*c*n + 80*c - 2*n + 282 wrt c.\nAnswer: -2*n - 2624346","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -769, -989, -1359, -1879?\n\"Answer: -75*n**2 + 5*n - 699","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = j**3 - 7*j**2 - 4. Let i be (-2 - -1)*2\/(-1). Suppose -i - 2 = -t. Let h be 21\/t + 2\/(-8). Let p(r) = -r**3 + 5*r**2 + 3. Give h*q(m) + 7*p(m).\nAnswer: -2*m**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -425 (base 9) to base 2.\nAnswer: -101011011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) be the first derivative of z**4\/2 - 7*z**3\/3 - 2*z**2 + 5*z + 15. Is 5 a factor of l(4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.1, -22, 1\/9?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -3176.9 - -7747932742?\nAnswer: 7747929565.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 24*r - 24 - 72. Let y(l) = -5*l**2 + 6*l + 2. Let h(q) = -6*q**2 + 7*q + 3. What is r*h(m) - 5*y(m)?\nAnswer: m**2 - 2*m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 30 and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -24095, -48161, -72241, -96341, -120467, -144625, -168821, -193061?\n\"Answer: -g**3 - g**2 - 24056*g - 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 9\/14130644 and -76\/6539181.\nAnswer: 1229366028","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1812\/6795*819\/84.\nAnswer: 13\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -965 - 876 - 960 - 139*u + 3768 - 967.\nAnswer: -139*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4? (a) -8 (b) -156 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 118022 and 1062198.\nAnswer: 1062198","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 304 minutes after 8:40 PM?\nAnswer: 1:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 20\/(-6) - 2\/3. Let g = -1334 - -4003\/3. Put -12, v, g in decreasing order.\nAnswer: g, v, -12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -135 - 0?\nAnswer: -135","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -569, -1583, -3291, -5705, -8837, -12699?\n\"Answer: -2*z**3 - 335*z**2 + 5*z - 237","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that 333\/8*z**3 + 1\/8*z**5 - 287\/4*z - 191\/8*z**2 + 0 - 49\/8*z**4 = 0.\nAnswer: -1, 0, 2, 7, 41","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -39 - -18. Let x be (-13)\/q + (-6)\/18. What is the nearest to 1 in 5, 0.1, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find r, given that 42*r**4 + 130*r**3 + 96*r**2 + 8*r = 0.\nAnswer: -2, -1, -2\/21, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12 - (-20)\/2)*(-2 + 1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lvg when three letters picked without replacement from glhodhdoovggoohovdo?\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Add 1.41 and -0.03.\nAnswer: 1.38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**1)**5\/(p\/(p**0\/p)*p*p**(-3)) assuming p is positive.\nAnswer: p**5","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -6? (a) 0 (b) 0.3 (c) 1 (d) -4 (e) -5088\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-30)\/6*4\/(-4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 41850653 to the nearest integer?\nAnswer: 6469","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 124*l - 259*l + 129 = -92*l. Solve 783 - 765 = -l*j for j.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/11, -1\/2734, -6, -5.8 in descending order.\nAnswer: -1\/2734, -2\/11, -5.8, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3839 and 18997?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = q**3 - 7*q**2 + 8*q - 10. Calculate f(6).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/q**(-1))\/q)**(-2\/79)\/(q\/(q**5*q)*q*q**3) assuming q is positive.\nAnswer: q**(77\/79)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1009470 by -9177.\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -54 - -106?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 335631798?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 26112294?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 2635 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + h + 1)*(3*h + 10*h - 5*h)*(-3 + 0 + 4).\nAnswer: 8*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19371 is divided by 282.\nAnswer: 195","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -1100000100110010100000 (base 2) to base 5\nAnswer: -1302242334","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -41 + 47336746?\nAnswer: 47336705","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 p and 1 x when four letters picked without replacement from {x: 7, p: 4}.\nAnswer: 14\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2\/5*n**2 + 32\/15*n - 2\/3 = 0 for n.\nAnswer: 1\/3, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 0 + 12963?\nAnswer: 12963","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -1. Let d(a) = -a - 2. Let n be d(2). Let o(c) = 3*c - 3. Let k(h) = n*q(h) + o(h). Let y be k(1). Solve -y*w - w = 25 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand a**3 + 2*a - 2*a + (-12 + 23 - 5)*(4*a**2 + 2*a**3 - 4*a**2).\nAnswer: 13*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 298 is divided by 138.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 171, 1338, 4531, 10770, 21075?\n\"Answer: 170*k**3 - 7*k**2 - 2*k + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 18\/19, 1, -2\/7, 96, 9, 5 in decreasing order.\nAnswer: 96, 9, 5, 1, 18\/19, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g when two letters picked without replacement from {b: 1, i: 8, g: 8}?\nAnswer: 7\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 78507, 157013, 235519?\nAnswer: 314025","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 347682 bigger than 8692071\/25?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -p**2 - 12*p - 2. Let l be m(-11). Suppose -l*u + 6*u - 2497 = -v, 0 = 5*v - 5*u - 12465. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -4 (b) -5 (c) 2\/9 (d) -3\/176\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -9*h - 5*h - 2*h + 41*h**2 - 85*h**2 - 56 + 43*h**2. What is the remainder when 66 is divided by l(-10)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -y**2 - 4*y + 3. Let q be s(-4). Suppose q*l = -2*l. Suppose -3*v + 4 = -7*v, l = -4*o - 5*v - 5. Solve -2*h + o = -10 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 102996499 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 69269146?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 2038619305 a multiple of 701?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.29 or -0.8?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 a factor of 840?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*r**3 + 4*r**3 - 2*r**3 + 3*r**4 - 5*r**4 + r - 3*r**2 to the form p*r + j*r**4 + q + o*r**3 + n*r**2 and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 52753, 213349, 481011, 855739?\nAnswer: 1337533","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Total of -2 and 54.3456.\nAnswer: 52.3456","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 5, f: 8}. Give prob of picking 3 l.\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - f + 5*x + 9 = 0, 2*x - 14 = -3*f. Let i be 2 + 0 + (-4 - (f + -10)). Solve i = 4*r + 2*c + c + 25, r + 19 = -5*c for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1258121.\nAnswer: 457, 2753","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 53561171 to the nearest integer?\nAnswer: 377","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 47b4 - 4?\nAnswer: 47b0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1913 - 1911. Is d less than 4\/157?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-54)\/(-36)*(25 - 1). Let i = 52 - h. Find the third derivative of f**6 + i*f**2 - f**5 + 8*f**6 + f**5 wrt f.\nAnswer: 1080*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 156 and 6304727.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -2*y**3 + 8*y**2 - 5*y - 3. Determine l(3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-23 + 1332\/54)\/(100\/2580)?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000730845 rounded to 5 dps?\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/3)\/((-4)\/24) - 5135\/2370\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1483123 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) be the first derivative of 1 + 0*p**3 + 0*p**2 - p - 1\/5*p**5 + 0*p**4. Differentiate k(t) with respect to t.\nAnswer: -4*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*n - 5*b = -29*n - 33072, 3*n - 2*b = 49684. What is the thousands digit of n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 764063250 to the nearest integer?\nAnswer: 914","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 7011 and 373428.\nAnswer: 7095132","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1098365 divided by 5?\nAnswer: 219673","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = 3*l + 5. Let j = 5\/6 + -23\/42. Which is the second biggest value? (a) l (b) -0.09 (c) 0.5 (d) j\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**6*l)\/l**(-3)*l\/l**(3\/7)*l*l*l**(3\/14) assuming l is positive.\nAnswer: l**(179\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 20.1 times -10289\nAnswer: -206808.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*h**3 - 4995*h**2 + 37010*h - 65535 = 0. Calculate h.\nAnswer: -257, 3, 17\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -450, -1781, -3998, -7101?\n\"Answer: -443*r**2 - 2*r - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -519390616*x**3 - x**2 + 362*x + 114820 wrt x?\nAnswer: -3116343696","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (6\/3)\/((-4)\/34). Let h = a + 17. Solve 3*z + 5 - 17 = h for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = r + 9. Let y = 1466 - 1459. Calculate h(y).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -50, 2, -4 in increasing order.\nAnswer: -50, -4, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -752 + 824. Sort 0.4, r, 3.\nAnswer: 0.4, 3, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.4, 4, 2\/139 in increasing order.\nAnswer: -0.4, 2\/139, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -b**3 + 36*b**2 + 72*b + 154. Let k be g(38). Sort 3, k, 13 in increasing order.\nAnswer: k, 3, 13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 46 - -1. Let k = 46.1 - h. Let w be (-48)\/(-132) + (-21)\/(-33). Which is the nearest to w? (a) 5 (b) k (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*n**3\/2 - 13*n**2 + 10*n + 4 = 0.\nAnswer: -2\/7, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s - 2 = 2*c + 2 - 5, -26*c = 23*c - 48*s + 47*s - 101 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3 - 311223001?\nAnswer: -311223004","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q**3\/9 - 482*q**2\/9 - 15020*q\/9 + 5168\/3 = 0.\nAnswer: -204, -38, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -466*x**4 + 2370*x**2 wrt x?\nAnswer: -11184*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 11264? (a) 0.4 (b) 0.13 (c) -214\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:58 PM and 6:31 AM?\nAnswer: 693","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*w + 5*w + 4*w**2)*(4*w**2 + 6*w**2 + 2*w**2).\nAnswer: 48*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 534063086 to the power of 1\/2, to the nearest integer?\nAnswer: 23110","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 150818489 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.2 - 1.28.\nAnswer: -1.08","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -648 - 5?\nAnswer: -653","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fhnmnthlmmmf. What is prob of sequence nmf?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 81403730?\nAnswer: 2, 5, 43, 189311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -i**3 - 9*i**2 - 12*i + 12. Let t be n(-7). Let z(v) = 4*v. Let b(r) = r - 1. What is t*b(j) + z(j)?\nAnswer: 2*j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 266, 535, 804, 1073, 1342?\nAnswer: 1611","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 31\/(-4 - 5\/(-1)). Let v = l - 41. Let k be (-2)\/20*6 - (-31399994)\/v. What is k rounded to the nearest 100000?\nAnswer: -3100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 7009169?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 58574?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 53869 and 309?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2882*i - 194956 = -3565*i + 713*i for i.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 - 11*l - 43*l - 3.\nAnswer: -54*l - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12668 = 2*k + 2442. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 51\/((-29325)\/(-17158)) - 30\nAnswer: -4\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express 10*b - b**3 - b**2 + 2 - 4*b - 9*b - 3*b in the form r*b + a*b**3 + k + u*b**2 and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(2) + sqrt(196)\/sqrt(2) + (sqrt(2) - sqrt(224)\/sqrt(7)).\nAnswer: 5*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -85, -300, -659, -1162, -1809, -2600?\n\"Answer: -72*y**2 + y - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 1, w: 18, i: 1}. What is prob of sequence xwiw?\nAnswer: 1\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 5, o: 3, c: 3}. Give prob of picking 1 c and 3 h.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 4 + 2)*(-78 + 78 - 6*i) - 11 + 11 - 3*i.\nAnswer: -15*i","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*o + 4*z = 24, o = 137*z - 141*z + 24. Let -66\/7*a**3 - 2\/7*a**5 + 80\/7*a**2 + o + 20\/7*a**4 - 32\/7*a = 0. What is a?\nAnswer: 0, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -3 + 62?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 586665318 rounded to the nearest 100000?\nAnswer: 586700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 20 and 15740.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 620787600?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 228384 is divided by 42.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 66 and 88.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 137*c + 806 = -975 for c.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -2*w**2. Let n(b) = 5*b - 3. Let g = 8 - 13. Let c(y) = 6 - 10*y + 3 - 2 - 2. Let l(t) = g*n(t) - 3*c(t). What is l(a(q))?\nAnswer: -10*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (-205)\/164 - 546\/24?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (sqrt(119) - 2*2*sqrt(119))\/sqrt(7) - (2*(sqrt(17) + -4) - -2*sqrt(612))**2.\nAnswer: -3394 + 221*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -441*t - 213. What is the remainder when c(-1) is divided by 47?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5822a (base 15) to base 16\nAnswer: 44827","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5\/647? (a) -0.2 (b) -6 (c) -0.02 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 212 + -213. Let w(i) = -i**2 - 1. Let m(d) = d**3 - 3*d**2 - 3. Suppose -5*t - c + 19 = 1, -3 = -4*t + 3*c. Determine t*w(x) + z*m(x).\nAnswer: -x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) be the second derivative of -n**3\/2 + 108*n. Let h(w) = -32*w**2 - 4. Determine h(j(c)).\nAnswer: -288*c**2 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (423*o**2 + 209*o**2 + 187*o**2 + 9*o**2)*(7 - 2 + 5)*(0*o - o + 3*o) in the form p*o**3 + g + k*o**2 + f*o and give p.\nAnswer: 16560","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a litre in millilitres?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 201036371 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13401911 divided by 45.\nAnswer: 13401911\/45","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 103943.3369 to the nearest one thousand.\nAnswer: 104000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 47353 + 2 - 11136\/464.\nAnswer: 3, 1753","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(133)*3 + 1*sqrt(133)*1)\/(((-1*sqrt(126) - sqrt(126))\/sqrt(9))\/(sqrt(20)\/(sqrt(30)\/sqrt(3)) + sqrt(2))).\nAnswer: 11*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -412023 - -34?\nAnswer: -411434","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in twenty-nine fifths of a millisecond?\nAnswer: 5800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -17 + 16.96. Sort f, 1\/3, 1\/2 in increasing order.\nAnswer: f, 1\/3, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.9 and 3.64075?\nAnswer: -3.276675","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -3.14 - -29.28\nAnswer: 26.14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 8736.714 centimeters?\nAnswer: 87367.14","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 4 + -25?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 5*x. Let o be d(-1). Let w be 6*(0 - 10\/3). Let y = o - w. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - o = 2*l, -4*l + 16 = 2*o. Suppose z - 7 = r, -4 - 8 = -z + l*r. Suppose -5*w = -5, z = -s + 4*w + 3. Put -5, -3, s in ascending order.\nAnswer: -5, -3, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 1, i: 1, h: 2, p: 1, l: 2}. What is prob of sequence lhl?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-8)\/6)\/(120\/(-180)). Solve -4*d + 12 = 0, 3*d + 9 + y = 5*g for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 56.6*2\nAnswer: 113.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -268715, -1074854, -2418415, -4299398?\nAnswer: -6717803","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 244248972?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 274364 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: Divide -7020 by -90.\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 22101?\nAnswer: 3, 53, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 121 + -118. Differentiate 13*a**f - 61*a**3 - 42 + 9 wrt a.\nAnswer: -144*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 50 = -3*z - c, 0 = -4*z - 3*c - 61. Let o(h) = -h + 36. Calculate the smallest common multiple of 10 and o(z).\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 147 and 219.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -581375, 2, 1\/51?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -18 - -13. Sort 5, 6, -7, k in descending order.\nAnswer: 6, 5, k, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 1, o: 18}. What is prob of sequence ooo?\nAnswer: 16\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -w**5 + w**4 - 12*w**3 + 2657*w**2 - 2647*w**2 + 5*w**4 - 3*w.\nAnswer: -w*(w - 3)*(w - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 2 + 0 + 3 - 2 - 2 + (-4 + 0 + 5)*(-3 + 0 + 2))*(5*y - 3*y - 4*y)*(40 - 70 - 73).\nAnswer: -824*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = t + 7. Let l be q(-3). Which is the second smallest value? (a) l (b) 2\/17 (c) 4\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32912761 a multiple of 273?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -16*s**3 + 49*s**2 + 183*s - 285. Let f(z) = -11*z**3 + 35*z**2 + 122*z - 190. Let d(q) = -7*f(q) + 5*v(q). Differentiate d(i) with respect to i.\nAnswer: -9*i**2 + 61","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 132871869 a multiple of 35?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 6*h = -8. What is the tens digit of (-19)\/(-2) + (-1)\/h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -186\/7*i + 16*i**2 + 36\/7 - 18\/7*i**3.\nAnswer: -2*(i - 3)**2*(9*i - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) be the first derivative of s**4\/12 + s**2 - 1. Let o(f) be the second derivative of d(f). Let y(u) = 2*u**2 + 0*u + 0*u. Determine o(y(q)).\nAnswer: 4*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 37.3 - 37. Put u, -0.01, -3, -0.4 in descending order.\nAnswer: u, -0.01, -0.4, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (3*1430\/(-594))\/((-110)\/66)\nAnswer: 13\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 476 and 119?\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -853 or -858?\nAnswer: -858","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-6)\/(-3) + 5\/(-2). Let c = 481\/4510 - 1\/110. Let h = -79\/451 - c. Which is greater: y or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0007132917 to 5 dps.\nAnswer: 0.00071","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -205303691 or 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*(z\/(z*z**(-3)))\/z*z*z**(-3\/4))\/(z\/z**(-3\/4)*z**(1\/5))*((z*((z\/(z*z**(-2)*z)*z)\/z)\/z)\/z**(-2\/11))\/(z*(z**(1\/2)\/z)\/z)**(-4\/3) assuming z is positive.\nAnswer: z**(599\/330)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2037\/11 - 185. Let n = 25\/9 - 3. Suppose -q - 5 = 2*o - 2, -3 = q - 5*o. Which is the closest to n? (a) l (b) 1 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 17*x**3 - 5558390*x**2 - 118610761?\nAnswer: 51*x**2 - 11116780*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 0.7*18867\nAnswer: 13206.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 30.4 - -16. Round r to the nearest 10.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -41*r - 29*r + 167 - 2337 = 0 for r.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 - (39 + (-56 - 10))?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 5279 times 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 364 = -4*q - 1225, 4*k + 4*q = -1148. Let a = 199 + k. What are the prime factors of -2 - ((-2)\/(-2) - 1) - a?\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 1185*x - 134. Is m(17) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 81780*q**2 - 163564*q**2 - 1043 + 81785*q**2 - q + 1 + 2*q**2 - 1 + (-2*q - 2*q + 0*q)*(2*q - 4*q + 4*q) in the form f + h*q**2 + k*q and give k.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*l - 15*l + 26*l = -7*y + 30, -2*l - 12 = -2*y for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 5*r**2 - r + 4. Let c(z) = 9*z**2 - 3*z + 9. Let h(b) = -3*c(b) + 7*o(b). What is the units digit of h(-1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -1136733, 4, 0 in descending order.\nAnswer: 4, 0, -3, -1136733","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 58361 is divided by 53?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -c - 4. Let t be w(-6). Let a be (2\/2)\/(5\/25). Suppose -4*v - a*q = -2*v - 9, 4*v = -t*q + 58. 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 least common multiple of 8792 and 8?\nAnswer: 8792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x + 0*x = -48. Let d be (1\/3)\/(52\/39). Is d >= x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 896931761 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x - 13*y + 24102 = -16*y, 0 = -5*x + 4*y + 24096. What is the units digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 855 = 5*h, -d + 5*h + 90 + 89 = 0. Calculate the remainder when d is divided by 38.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 = -0*d - 5*d - v, 0 = 4*v + 8. Let b = -22 + 2. Let q = d - b. List the prime factors of q.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.5 or -181\/29720?\nAnswer: -181\/29720","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that -z**3\/12 + 5*z**2\/6 - 19*z\/12 - 5\/2 = 0.\nAnswer: -1, 5, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/(8\/4)*(-4)\/(-28)\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*a + 2*x = 3*a - 5939, -9488 = 8*a - 4*x. Is -1189 greater than or equal to a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 80 a factor of 598160?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -3.814368 and -137?\nAnswer: 133.185632","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by -466?\nAnswer: -1\/466","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 5) in base 2?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1347\/50 (b) -6\/29 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 29*z + 202. Give r(-8).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 104 + -212?\nAnswer: -106","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*y - y + 313*y**3 - 195*y**3 + 205*y**3 + 7*y to the form d + f*y + s*y**3 + r*y**2 and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3 + (sqrt(171) + 5*(1 + sqrt(171)))*5 + -2 + 2*(-1*(-1 + sqrt(171)) + (1 + sqrt(171) - sqrt(171))*-1))*5)**2.\nAnswer: 84000*sqrt(19) + 3361600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2066 * 2.\nAnswer: -4132","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -2*x**2 + 87*x - 808. Calculate y(26).\nAnswer: 102","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*c**3*r**2 - 15*c**3*r - 3*c**2*r**2 - 7*c*r**2 - 7*c - 2*r wrt c.\nAnswer: -12*c*r**2 - 90*c*r - 6*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -14*g**2. Let u(v) = -19*v**2 + 9*v + 16. Let w(l) = -109*l**2 + 54*l + 92. Let o(m) = 23*u(m) - 4*w(m). Calculate o(k(i)).\nAnswer: -196*i**4 + 126*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen fifths of a day in minutes?\nAnswer: 3744","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*b + 10*b = -23*l - 139, -4*l - b - 8 = 0 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 1906*v + 61026. Give y(-32).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5109 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.07490446 to three decimal places.\nAnswer: -0.075","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"}