diff --git "a/data/dm_maths/full_data_2/11188_11255.jsonl" "b/data/dm_maths/full_data_2/11188_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_2/11188_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Solve 229*a = 223*a + 36 for a.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.3849 and -2548184.\nAnswer: -2548183.6151","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = -4 - 2. Suppose z = s - 13. Is 16 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -111816, -107408, -103000, -98592?\nAnswer: -94184","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/(-4))\/(12\/(-72))*369*6\/(-162)?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 174*l**5*u - 20*l**3*u - 3*l**2 + 1981*l*u wrt l.\nAnswer: 10440*l**2*u - 120*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -6 > 0.28?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 513 and 54?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:46 AM and 12:12 PM?\nAnswer: 386","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -386*r - 1572*r = -838*r - 143360 for r.\nAnswer: 128","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -10.93 + 11. Let o = 347.93 - 343. Let s = i + o. Which is the nearest to -2\/5? (a) s (b) -3\/7 (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*v**2 + 2*v + 2*v + 3*v**2 - 2*v as w*v + y + a*v**2 and give a.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1305*0.0172.\nAnswer: -22.446","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -57.0169 + 0.0169. Sort 0.1, -1\/6, s in increasing order.\nAnswer: s, -1\/6, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - 4) + (963 - 928)?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -26159 = -353*b + 48324. Calculate the greatest common divisor of b and 34393.\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -26, -9740, 1 in decreasing order.\nAnswer: 1, -5, -26, -9740","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 132841 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/3 in 21, -10, -5, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 2777*l - 8316. Determine h(3).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/4 - (-39)\/(-52)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.021 in 6\/5, 6\/7, 0.16?\nAnswer: 0.16","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 8*t**2 - 92*t - 9. What is x(12)?\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) be the second derivative of -o**4 + 17*o + 4. Let r(f) = -23*f**2. What is j(r(z))?\nAnswer: -6348*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2 + 3)\/(2\/12). Suppose -3*t - m = -0*t. Let g(r) = -3. Suppose 2*h = 8 + 2. Let y(o) = -o - 7. Give h*g(n) + t*y(n).\nAnswer: 2*n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1299*k**5 - 680*k wrt k.\nAnswer: -25980*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 418003?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - q + 18 = -5*q, 0 = -3*q - 6. Let l(t) = 2*t + 6. Let k be l(-2). Solve k*p + 5 = -h*c, -5*c - 5*p - 19 = 1 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/9? (a) -1\/2 (b) 0.241 (c) -19 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -5 - -5041?\nAnswer: 5032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = f**3 + 9*f**2 - 6*f - 15. What is c(-9)?\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:41 AM and 3:43 AM?\nAnswer: 62","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gge when three letters picked without replacement from {m: 10, e: 1, n: 2, g: 3}.\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1 - -7. Let m = y + 3. Let n(h) = -h**2 + 10*h - 12. Calculate the remainder when m is divided by n(8).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) be the second derivative of -q**5\/20 + 11*q**4\/12 - 7*q**3\/6 + 2*q**2 + 3*q. List the prime factors of m(10).\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g**4 - 118*g**3 + 152*g**2 + 442*g + 168 = 0. Calculate g.\nAnswer: -1, -1\/2, 3, 28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 22*d**2 + 3405*d - 2. Give q(0).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.062 - 24.062. Put 5, 0.4, l in decreasing order.\nAnswer: 5, 0.4, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 321078?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 199\/1126230 and 109\/12110.\nAnswer: 1126230","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand p**3 + 0*p**3 + 0*p**3 + (-2*p**3 - p**3 + 4*p**3)*(-4 + 1 + 4) - 32*p**3 + 7*p**3 + 56*p**3 + (-8 + 4*p**2 + 8)*(-6*p + p + 3*p) + 1 + 3*p**3 - 1.\nAnswer: 28*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -45, 1, -3, -5, 676 in descending order.\nAnswer: 676, 1, -3, -5, -45","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 12091 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 247 * 10\nAnswer: 2470","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x*x\/(x\/(x**(-13)\/x))*x**(-6\/7)*(x**(-2\/27)\/x)\/x**(-18) assuming x is positive.\nAnswer: x**(580\/189)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7 - 4*c - 9 + 2*c)*(-9 - 6 + 6)*(-1 + 1 + c).\nAnswer: 18*c**2 + 18*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -3*b + 5*b. Let u be (56\/(-12))\/1 + b + 3. Let n = 0.1 + -0.2. What is the nearest to -3 in n, -5, u?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.53 or -7\/16?\nAnswer: -7\/16","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -728.1 - -728. Which is smaller: m or -26\/11?\nAnswer: -26\/11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 639364024 is divided by 48.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*l - 4*l + 3*l)*(-2 - 1 - 2 + (3 - 1 - 5)*(-4 + 2 + 0) + 1 - 1 - 2) to the form d + s*l and give s.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1308 + 11639. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (((-702)\/208)\/(-27))\/(1\/(-2)). What is the biggest value in 4\/9, 46, y?\nAnswer: 46","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is n in -2*n**2\/5 - 332*n\/5 + 6222\/5 = 0?\nAnswer: -183, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*u + 0*u + u)*(-4*u - 2*u + 5*u)*(-68 - 4 - 81) + (3 - 3 + 1 + 2 + 0 - 4 + (-2 - 2 + 2)*(-1 + 0 - 1) - 2 + 3 + 1)*(11*u**2 - 41 + 41).\nAnswer: 208*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -l**3 - 6*l**2 - 7*l + 6. Let d(z) = -2*z**3 - 7*z**2 - 7*z + 7. Let v(r) = 6*d(r) - 7*s(r). What is the second derivative of v(f) wrt f?\nAnswer: -30*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 53 - 133 - 36 + u + 0*u.\nAnswer: u - 116","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6835?\nAnswer: 5, 1367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -2*13856495\nAnswer: -27712990","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 3*k. Let n(j) = -j. Let h(m) = -5*m. Let y(a) = h(a) - 6*n(a). What is d(y(b))?\nAnswer: 3*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (-36)\/396 - (-7 + (-591)\/(-33))\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z - 3*x = 3, 723*z + 7 = 718*z - x for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 561 + -816. Let x be (-1)\/(-6) + g\/(-90). Let c be 590\/(-70) + x\/7. Is -8 < c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 12 = 3*i, -19*j + 16 = -22*j + 4*i. Let r be 413\/(-735) - 6\/(-45). What is the biggest value in 3\/2, r, j?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -6*n - 9. Let l be m(4). Calculate the least common multiple of 2 and 6\/l - 476\/(-77).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 4*t = -35, 4*v - t = -25 + 8. Sort 2, 0, v.\nAnswer: v, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 78 + -60. Suppose -m*y + 7997 = 1661. What is the tens digit of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -223*k**3 - 234*k**3 + 1162*k**3 - 238*k**3 - 239*k**3 - 243*k**3.\nAnswer: -15*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jqq when three letters picked without replacement from {q: 2, j: 11}.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 0.19 (b) 1\/3 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**16\/(o\/(((o\/((o\/o**0)\/o)*o)\/o)\/o)))\/(o*o*o*o\/(o\/((o\/o**(-2))\/o)*o))**15 assuming o is positive.\nAnswer: o**(-45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 2\/7 (b) 0.4 (c) 14 (d) 1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*k**2*l - k**2 + 7*k*l + 2*k - 1533*l + 1 wrt k.\nAnswer: -4*k*l - 2*k + 7*l + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 123\/160 and 53\/726?\nAnswer: 58080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = l**3 - 86*l - 31. Let n be f(-9). Is n equal to 426\/29?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -88 + 139. Let d = -11 + 25. What is the remainder when -1 + (-4 - -7) + i is divided by d?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 5*x = -21, 2*z = 5*z - 4*x - 44. Calculate the remainder when 59 is divided by z.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3472 (base 9) to base 2\nAnswer: -101000010000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (10\/(-40))\/(4\/8). Let v be -5 + (-335)\/(-85) + 1. Which is the smallest value? (a) v (b) m (c) -3\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -29d - 2e?\nAnswer: -2cc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Let w be (0 - -1) + -1 - -23. Suppose -2*h + a = -16, 5*a - 9 + w = -h. What is the remainder when h is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -o**4\/2 - 42652*o**3 - 920407787*o**2 - 461120795220*o - 116882802225225\/2.\nAnswer: -(o + 255)**2*(o + 42397)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ggfgggggyytjgggjgjgg. What is prob of sequence ft?\nAnswer: 1\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -952*14\/(-714)*6\/(-4)?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.104 rounded to 2 dps?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Add together 1.57 and -0.165.\nAnswer: 1.405","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 2, y: 1, l: 4, q: 1}. Give prob of sequence qlbb.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/3 in -4, 90, 1, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1 - (-4 + 3))\/(-2). Solve 4*v = -16, -2*m + 0*v + 2*v + 18 = d for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 19af0 (base 16) to base 15.\nAnswer: 21285","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 299935386*h**2*l**2 - 2050160*l**2 + 23 wrt h.\nAnswer: 599870772*h*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h + 10 = 4*t, -3*h = -h + t - 9. Let y be (14\/9)\/h + -1. Which is the second smallest value? (a) 0 (b) -5 (c) y (d) -2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*s = -22*s. Let z(r) = r**2 - 2*r + 16. Let b be z(s). Solve -24 = 2*f - b for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o - 5*r - 27 = 0, -2*o = -4*r - 5 - 11 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*a**2\/5 + 8909379*a\/5.\nAnswer: -3*a*(a - 2969793)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2.95 + -0.05. Let g(r) = -r**3 + 19*r**2 + 59*r - 1127. Let h be g(19). What is the closest to -0.02 in h, m, -5?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1223822176?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-15)\/((-1350)\/(-10)))\/(2\/2)*2.\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-11\/2))**(-3\/20)\/(y**4)**25 assuming y is positive.\nAnswer: y**(-3967\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14 + -41 - (-6 + -9).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:30 AM and 7:16 PM?\nAnswer: 466","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 101010001 (base 2) in base 12?\nAnswer: 241","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a = a. Suppose 25 = 4*v + 5*u, a*u = 4*v - 4*u - 16. Let c(p) = p**3 + 5*p**2 - 2*p + 4. Calculate the remainder when c(-5) is divided by v.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 28 + -4 - (-8 + -8 + 21 + 5)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0021134 to 2 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2\/8995 + -171229\/1457190. What is the common denominator of -67\/234 and t?\nAnswer: 2106","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23462651 <= 5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = l**2. Let p(h) = 6*h**2 - 9*h + 9. Let c(r) = 3*r**2 - 4*r + 4. Let s be 6\/(-8) + (-26)\/8. Let j(y) = s*p(y) + 9*c(y). Determine g(j(t)).\nAnswer: 9*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b = -9 - 59, -10*b + 0*b - 249 = 60*q - 7*b for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1.7 + -2.1. Let v(s) = s**3 - 16*s**2 - 81*s + 22. Let o be v(20). What is the third smallest value in p, -15, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 2*j**2 - 15*j + 35. Let u be m(18). Let l = -249 + u. What is the units digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 284 - 294 + 2*z + 0*z. Suppose 35 = -0*j + 5*j. Let o be m(j). Sort 0, o, 1 in decreasing order.\nAnswer: o, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4054271 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 103, -4\/3, -1, 1\/5?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 17*d + 1. Let o(u) = 1294*u - 5. Give -o(y) - 3*x(y).\nAnswer: -1345*y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2871011 rounded to four dps?\nAnswer: 0.2871","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1dc427 (base 14) to base 7.\nAnswer: -12050250","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -10*m + 7. Let q be k(7). Let z = -129\/2 - q. Which is smaller: z or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 93*n**5 + 90*n**2.\nAnswer: 5580*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(7344) - -5*2*sqrt(7344))\/(sqrt(432)*2 + -5*2*sqrt(3)).\nAnswer: 66*sqrt(17)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -1 + 1 + d. Let i(y) = 3*y. Suppose 3*p + 10 + 0 = 4*w, 2*w = -4*p - 28. Let b(g) = p*f(g) + i(g). Let u(k) = k**2. Calculate u(b(o)).\nAnswer: 9*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/11? (a) 2\/5 (b) -4 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -42397*m - 2247048. What is l(-53)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -z - 4. Let s be l(-5). What is the units digit of 30\/(-2 - s - -4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 27 + -13. Let r be (-189)\/14 - (-2)\/4. Let w = r + n. What is the nearest to 1 in -0.5, 0.5, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 569?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -3*(0 + (-6)\/9). Suppose -r = -3*r + j. What is the units digit of 1 + (2 - 1) + r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t = t - 258. Let u be (t\/5)\/(4\/10). Let i = u - 76. What is the units digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 13704215 to the nearest integer?\nAnswer: 239","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -211 - -1?\nAnswer: -210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 142305799 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 283 + -285. Put 1, -23, x in descending order.\nAnswer: 1, x, -23","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2232517 a multiple of 301?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.05 + 2.15. Let h = -2 + f. Let m = -286 + 285. What is the third biggest value in 3, h, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -157, 1103, 5193, 13529, 27527, 48603, 78173?\nAnswer: 117653","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2\/11174285 or -1?\nAnswer: -2\/11174285","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 188637527713 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 1376*s - 9632. What is u(7)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 3*f - 10 = 0, -2*f = 5*h - 50. Let z = h + -6. Suppose -4 = -4*l + z*a + 2, 0 = -2*l + 2*a + 4. What is the units digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 439 minutes after 7:45 AM?\nAnswer: 3:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 936 and 10426?\nAnswer: 375336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out 374.8 * -38209.\nAnswer: -14320733.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide -420420 by 28.\nAnswer: -15015","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g**(9\/2))\/g**(6\/11))\/(g**3)**(11\/4) assuming g is positive.\nAnswer: g**(-145\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 7*a**2 - 3. Let h(m) = 3*m**2. Give u(h(s)).\nAnswer: 63*s**4 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -7 - -10. Let d(o) = o**2 - 6*o + 5. Let n be d(h). Let t be 0*(16\/n - -3). Is t > -1\/11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 225706?\nAnswer: 2, 13, 8681","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 61\/18785622 and -45\/147091.\nAnswer: 131499354","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -19 - -30 - (7 + 4) - (92 - -26).\nAnswer: -118","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*g = 5*g + 622 - 611 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by -42?\nAnswer: -5\/42","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -2*q**3 + 42*q**2 - 65*q - 202. Let i be p(19). Let h(z) = -2*z**2 + 34. Let r(s) = s**2 - 17. Give i*r(t) + 3*h(t).\nAnswer: t**2 - 17","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 43*k + 41*k + 0*k**2 + k**2 - 85*k.\nAnswer: k**2 - k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve n + 285 = 7*x + 287, 5*n + 25 = 0 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -q**3 - 2*q**2 + 3. Let u be y(-3). Let s(n) = n**3 - 11*n**2 - 14*n + 4. Determine s(u).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -510 - -916. Let t = p - 386. Solve 24*g - 16 = t*g for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4554?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12232578 is divided by 1816?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 916050493?\nAnswer: 5189, 176537","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*v - 0*v. Suppose 3 = -3*a - 6. Let t = a - -5. Put v, -3, t in descending order.\nAnswer: t, v, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -660 divided by -330\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 4*i - 28*i + 6*i + 150 - 28*i - 26*i. What is the tens digit of q(-6)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*m - 95 = -5*l + 2*m, -4*l - 5*m + 80 = 0. Let a = 15 - l. Let k(x) = -x**2 + a + 3 - 3. Let f(w) = -w**2. Determine f(k(d)).\nAnswer: -d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 610*l = 646*l - 72 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Add together -107964139 and -2.384276.\nAnswer: -107964141.384276","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 729, 730, 731, 732?\nAnswer: 733","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d + d - 10*u - 26 = 0, 3*u - 3*u - 2*u - 9 = 3*d for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 3099 + 13124 = 5*l, -4*i - 20 = 0. Round l to the nearest 10000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10514*x + 3 - 7440*x + 11872*x + 0*x**2 - 4 - 2*x**2.\nAnswer: -2*x**2 + 14946*x - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q - 4 = -2*q. Let v be (-70)\/(-72) - q\/(-18). Solve v*c - 3\/2*c**2 - 3\/4*c**3 + 3\/2 = 0 for c.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 6 + 1. Suppose -2*d + 26 = 2*k + d, 2*k - 28 = -2*d. What is the lowest common multiple of z and -2 + -1 + (k - 2)?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/30 + 2\/15 + 1.\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let -44559948*a**2 - 23124*a - 3 = 0. What is a?\nAnswer: -1\/3854","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5466745082?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -85000*b**2 - 1428*b. Let x(s) = 1903*s**2 + 32*s. Let w(j) = -8*t(j) - 357*x(j). Let c(z) = -4*z**2. What is c(w(r))?\nAnswer: -1582564*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 96, 4, 5, -12, -1 in descending order.\nAnswer: 96, 5, 4, -1, -2, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) be the second derivative of 1\/5*v**5 + 0*v**2 + 0*v**3 + 0*v**4 - 5\/21*v**7 + 0 - 1\/5*v**6 + 7*v. Solve d(j) = 0.\nAnswer: -1, 0, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve s + 4*s = r - 11, -3*r + 11 = -4*s for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 44739326 + -0.2.\nAnswer: 44739325.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-29792)\/(-140))\/56)\/(12\/(-20))?\nAnswer: -19\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-2\/11))**(28\/5)*s\/s**(-2\/5)*s\/(s\/s**7) assuming s is positive.\nAnswer: s**(406\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) be the third derivative of 0 + 1\/6*a**4 + 27*a**2 + 31\/6*a**3 + 0*a. Let t be x(-7). Solve -5*i + 15 = t*u, -2*i = 2*i + 4*u - 20 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(24) + (sqrt(1536) - (sqrt(1536) + sqrt(1536)*-1 - sqrt(1536))))\/(2*sqrt(512)).\nAnswer: 17*sqrt(3)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3478972?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -116 - -117. Which is the biggest value? (a) q (b) 24\/175 (c) -2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -130\/31179 and -1 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 158549 is divided by 78282.\nAnswer: 1985","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 = -4*u + 2. Let q be u\/(-2) - (-4)\/(-8). Find the third derivative of -2*j**3 - j**3 + j**3 + 2*j**q wrt j.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4\/133 - 254\/399. Which is the nearest to 0? (a) l (b) -0.1 (c) 0.2 (d) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -163\/3 or -53?\nAnswer: -53","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -77, 4100 in increasing order.\nAnswer: -77, 3, 4100","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 8*z + 18 = 0. Let l be (-2)\/z - (-10)\/3. Suppose -5*w = 2*q + 1, l = -4*q - 3*w + 8. Solve q = -5*v + p + 2*p, 0 = 2*p - 8 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 3*w - 28. Calculate z(19).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 1146*v**2 + 54*v + 55. Is t(13) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5877446 a multiple of 54?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*i + i + i)*(3*i**2 - 3*i + 3*i) + 0*i**3 - 4*i**3 + 0*i**3 + (3 + 3*i - 3)*(4 + i**2 - 4).\nAnswer: 5*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 54141 is divided by 128?\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (((-3 + sqrt(68) + 0 + sqrt(68) + 3)*5)**2 - ((-2*sqrt(68))**2 + 2 - (sqrt(68) + 4 + 1 + sqrt(68))**2)).\nAnswer: 40*sqrt(17) + 6826","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rrzcrzrrzrrzrr. What is prob of picking 1 r and 1 c?\nAnswer: 9\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 5370 and 640?\nAnswer: 343680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:13 PM and 7:08 AM?\nAnswer: 655","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 31\/9072 and -53\/432.\nAnswer: 9072","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 2*((-4)\/((-12)\/(-9)) - 2030\/(-770))?\nAnswer: -8\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2686 - 845. What is the hundreds digit of y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -988 = -38521\/39?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -l**2 + 21*l - 11. Calculate q(17).\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1fe8b (base 16) in base 10?\nAnswer: 130699","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) be the first derivative of -2 + q**2 + 1\/12*q**4 + 0*q**3 + 0*q. Let m(g) be the second derivative of u(g). Let y(r) = -r. Determine m(y(b)).\nAnswer: -2*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14755 = -1159*f + 24*f for f.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(35)\/(sqrt(45)\/(sqrt(18)\/sqrt(2))).\nAnswer: sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 607 minutes after 11:57 PM?\nAnswer: 10:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -4*q - 15. Let h(y) = -25*y. Give z(h(w)).\nAnswer: 100*w - 15","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4190)\/130 + (-252)\/(-1092).\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 7680 divided by -480\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 513516.2 centimeters in millimeters?\nAnswer: 5135162","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 3*m**2 + 124*m + 498. Determine k(-37).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 3*r + 102 = 19, 5*c + 5*r - 195 = 0. Suppose -c = -4*t + 40. Solve 0 = -8*j + 3*j - t for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) be the third derivative of 773*v**6\/120 + 189*v**3 + 2*v**2 - 512*v. What is the first derivative of a(r) wrt r?\nAnswer: 2319*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*h - 10 = -28 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -2*3.04\nAnswer: -6.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -3. Let t(l) = -29*l - 16. Calculate -6*k(m) + t(m).\nAnswer: -29*m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) be the first derivative of -i**2\/2 - 4*i + 1. Let s = 24 + -14. Suppose -s*q - 33 = q. Determine x(q).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 668 is divided by 83?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -37 + 371\/10. Let h = -0.08 + 2.08. Let v = 2.2 - h. Which is the second biggest value? (a) v (b) x (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 19 + -1.2. Let g = u + -18.035. Round g to 2 dps.\nAnswer: -0.24","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1*2\/8*8\/(-8).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-1\/4)\/a**(-2))\/(a**(1\/3)\/(a\/(a\/a**(1\/10))))*(a**(-5\/3)\/a*a*a**(-2)\/a*a*a*a)**40 assuming a is positive.\nAnswer: a**(-1303\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 28 - 41. Let k = -10 - g. Sort 1, k, -5 in ascending order.\nAnswer: -5, 1, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -70, 0, -69, 13, -57 in decreasing order.\nAnswer: 13, 0, -57, -69, -70","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (-48)\/(-84) - (-46)\/(-7)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1076597244?\nAnswer: 2, 3, 3322831","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f + 16*w - 24 = 20*w, -2*f + 3*w = -15 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 240.6358 + 0.3642. Which is the biggest value? (a) -8 (b) 0 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -5*o - 9. Let p(t) be the third derivative of 34*t**2 - 17\/6*t**3 + 0*t + 0 - 3\/8*t**4. Determine 7*k(c) - 4*p(c).\nAnswer: c + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -75649 - -34649. Round r to the nearest 10000.\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 163944741?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (10\/32)\/((-3)\/6*(-9)\/18).\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 113 and 8671846.\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 459 minutes after 12:20 PM?\nAnswer: 7:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 121188?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.014059438 rounded to five decimal places?\nAnswer: 0.01406","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 15501868997 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -147 = 4*u + 5*j - 107, 3*u + 30 = 2*j. Let i(t) = 14*t**2 - 47*t + 47. Let z(v) = -5*v**2 + 16*v - 16. Let o(x) = 6*i(x) + 17*z(x). Give o(u).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 6? (a) -5 (b) -2\/9 (c) 1\/3 (d) 70\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 6 + 4 + 14*p**2 - 10. Let l(g) = -2*g**2. Calculate v(l(h)).\nAnswer: 56*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 divided by 7742.\nAnswer: -4\/3871","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 2 s when three letters picked without replacement from uusshuuusxusuuu?\nAnswer: 54\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) be the third derivative of -7*g**6\/120 - 13*g**4\/24 + 12*g**2. What is the second derivative of o(u) wrt u?\nAnswer: -42*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -2*f**2 + 4*f + 12. Let q be y(-2). Which is the nearest to -4? (a) 0.3 (b) 0 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 13 - -7. Let o = l - 8. Suppose -10*s - 6 = -o*s. Calculate the remainder when 7 is divided by s.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 4\/(-8) + 3*(-2)\/(-4). Put j, 0, -7, 5 in decreasing order.\nAnswer: 5, j, 0, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 12277 to the nearest 1000.\nAnswer: 12000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3375)\/(-1350))\/(2\/(936\/15)).\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2473 is divided by 863?\nAnswer: 747","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -g - 7. Suppose 0 = -2*n + 4*l - 40, 3*l - 44 + 41 = 0. Let p be (2\/2)\/(-1)*(n - g). Sort 2\/15, 0.4, p in descending order.\nAnswer: 0.4, 2\/15, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.94 - -0.44. Sort -0.4, -1\/14, -0.2, n in increasing order.\nAnswer: n, -0.4, -0.2, -1\/14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1.01 - 0.01. Let f be 2\/7 - (-31)\/(-84). Which is smaller: t or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m when two letters picked without replacement from {v: 3, m: 17}?\nAnswer: 68\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 - (-29 - -16) - 8?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 1 t when two letters picked without replacement from {a: 2, t: 4, f: 1, b: 2}.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -18 + 21. Let k(c) = 34*c + 3. Let o be k(j). Let q be 2*(62\/28 + 30\/o). Solve 0*r + l = -3*r + q, -5*r = l - 5 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -8 + 15. Let c be (18\/4)\/(1\/2). Let y = -5 + c. What is the remainder when t is divided by y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -h**3 + h**2 + 2*h + 2322. Let b be g(0). Let p = -1027 + b. Suppose 26*k - 33*k = -p. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1440564 (base 7) to base 10\nAnswer: 194772","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -65*q + x - 18 = -69*q, 0 = -3*q - 2*x + 16 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6 - (-16 - -5)) + -2.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 2 (b) -0.01 (c) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 140*c - p - 206 + 1 = 0, -3*p + 227 = c for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1408.76602 rounded to the nearest one hundred?\nAnswer: 1400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of v**2*z**2 - 15*v**2*z + 5958*v**2 - 8*v*z + 2*z wrt z.\nAnswer: 2*v**2*z - 15*v**2 - 8*v + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) be the third derivative of -2*y**7\/105 - y**4\/24 - 73*y**3\/6 - 2*y**2 + 14*y. What is the first derivative of j(z) wrt z?\nAnswer: -16*z**3 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1088) + -2 + (1*((sqrt(17) + -1 - sqrt(17))**2 - sqrt(17)) - sqrt(17)).\nAnswer: -1 + 6*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*l = -l - 59265. Let n = l + -8308. Suppose 0 = 2*i - 7*i + n. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 68*o - 31*o + 12*o**2 - 37*o.\nAnswer: 12*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 648 and 24?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 2 = -5*y, 5 = 4*v + 1. Suppose d + o + 3 = -y*d, -2*o + 2 = 0. What is the nearest to 0 in 0, 3, d?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of (-4)\/6 - (-681)\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -21 + 24. Suppose 13 = 2*l - z*a, -l + 2*a + 5 = a. Suppose y = l*y + 2850000. Round y to the nearest 100000.\nAnswer: -2900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7383 = 21*w - 18*w. What are the prime factors of w?\nAnswer: 23, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 2*b**2 + 4*b + 14. Let d(i) = 6*i**2 + 43 + 24*i - 2*i - 36*i + 25*i. What is 4*d(g) - 11*z(g)?\nAnswer: 2*g**2 + 18","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 44\/3198913 and 36\/11?\nAnswer: 35188043","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -31 - (7 - (-13)\/(-2))*0?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 23*r. Let k(p) be the second derivative of -p**4\/6 + 118*p. Determine q(k(u)).\nAnswer: -46*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.2 + -0.3. Let q be ((-6)\/(-5))\/(((-20)\/25)\/(-2)). Suppose 0 = -i - q*u, 6*u = 5*u + 1. What is the nearest to 1 in y, i, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 3*f. Let v(h) = -6*h**2 + 6*h - 91. What is v(g(y))?\nAnswer: -54*y**2 + 18*y - 91","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = 3*d - 11*d. Let i be (d + 2)*2214\/12. Suppose 5*w - 496 = i. What is the tens digit of w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 6538*j - 11570*j - 362304 for j.\nAnswer: -72","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 5713 - -5?\nAnswer: 5720","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -79 - 52 + q**3 + 2*q**3 + 152.\nAnswer: 3*q**3 + 21","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -121450 - -45?\nAnswer: -121402","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = h**3 + 4. Let r be o(0). Suppose r*a + 25 = 5*u, u = -5*a + 3 + 2. Solve -5*l = -u*n + 25, n - 3*n - l - 2 = 0 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*k + a + 173, 4*k + a - 130 = -a. Let t = k - 14. Calculate the smallest common multiple of t and 14.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -4*p**3 + 93*p**2 + 13*p. Let y(a) = a**3 - 23*a**2 - 3*a. What is 2*x(n) + 9*y(n)?\nAnswer: n**3 - 21*n**2 - n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*w + 29*w - 21 = 0 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (14\/(-4))\/7*-2. What is the units digit of (-5 + p)\/((-3)\/6)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by 13485.\nAnswer: 1\/2697","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of h*n**2 + h*z**2 + 591*h*z - h - 2*n**4 - 342*n*z**2 wrt n.\nAnswer: 2*h*n - 8*n**3 - 342*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -7*w**2 - 3*w - 1. Let p(c) = c. What is -l(s) - 5*p(s)?\nAnswer: 7*s**2 - 2*s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find i such that 5*i**3 + 475*i**2 + 13115*i + 83205 = 0.\nAnswer: -43, -9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -591 - -618. Find the second derivative of -7*s**2 + 152*s**3 + 3*s - 8*s**2 - 12*s**2 + g*s**2 + 48 wrt s.\nAnswer: 912*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1700)*1 + 5 + 5*(sqrt(17) + (1*sqrt(204))\/sqrt(12)).\nAnswer: 5 + 20*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -10*n. Let c = -1 + -4. Let w(x) = -x**3 - 4*x**2 + 5*x + 3. Let a be w(c). Let s(k) = 3 + k - 3*k - a. What is g(s(o))?\nAnswer: 20*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.4 + 0.6. Suppose 2*x = -6*w + w + 3, 0 = -4*x - w - 3. Let g = 0.4 - 0.3. Which is the nearest to g? (a) 0.4 (b) p (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 66 = 29. Let q be 4\/9*6 + 4\/(-6). Suppose 5*z - 4*h = 495, -179 - 211 = -4*z + q*h. What is the highest common divisor of z and v?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4358240 to the power of 1\/10, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -477*d + 1989 + 873 for d.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*c - t - 6, 4*c - 3 = 4*t - t. Let w(k) be the second derivative of 0 + 1\/20*k**5 + 7*k + 1\/2*k**2 - 1\/2*k**4 + 0*k**c. Determine w(6).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 714791 a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 0 - 3)*(-2*q + 2*q - 4*q)*(0 - 4 + 1).\nAnswer: -24*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 16 and 17488.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uccu when four letters picked without replacement from ccccccqcqucuc?\nAnswer: 6\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ididicdyii. Give prob of sequence dyi.\nAnswer: 1\/48","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(704) + (sqrt(704) - -1*sqrt(704)) + 3 + -2 - (-1 + sqrt(704)*-2 + 3)**2.\nAnswer: -2819 + 88*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 21*g - 33. Let n be y(2). Suppose 1 = -n*v - 26. What is the biggest value in -2, v, 2\/27?\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27*y**3 + y**2 - 4*y**2 - 28*y**3.\nAnswer: -55*y**3 - 3*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sum 529110947 and -5.\nAnswer: 529110942","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -312 (base 9) in base 14?\nAnswer: -142","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 3*j**3 - 3*j**2 - 5*j. Let a(n) = n + 17. Let b be a(-22). Let z(q) = -2*q**3 + q**2 + 2*q. Calculate b*z(r) - 2*o(r).\nAnswer: 4*r**3 + r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v = -5*d + 32, 3*v + d - 4*d = -21. Let u be (18\/(-60))\/(v\/(-8))*-70. Calculate the highest common factor of 8 and u.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -365*v - 19885 = 11*v + 109*v for v.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(2) + sqrt(2)*1) + 4.\nAnswer: -12*sqrt(2) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ttatttttttwtt. Give prob of sequence taw.\nAnswer: 1\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.96 + 3.14. Let j = 22.9 + -22. Let q = u + j. Put 2, 0.1, q in increasing order.\nAnswer: 0.1, 2, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -63 and 1.05.\nAnswer: -61.95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2276*s - 5619 = -20261 + 10867 - 34917 for s.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -4\/3, 0.3, -2, -68 in descending order.\nAnswer: 0.3, -4\/3, -2, -68","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3\/16 in 10, -205\/2, 2, -5, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*(sqrt(49) + sqrt(49)*-1 + sqrt(49)))\/(-5*sqrt(175)))**2 + (4*-2*sqrt(567))**2 + sqrt(567) + -3 + (2 + sqrt(567))**2.\nAnswer: 45*sqrt(7) + 23035007\/625","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 - 0.1405?\nAnswer: 2.8595","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -8.3 + 8. Let g = 12 + -3. Let o = g + -10. What is the second biggest value in k, o, -0.2?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*l - 1\/2*l**3 + 6 - 3\/2*l**2.\nAnswer: -(l - 2)*(l + 2)*(l + 3)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -z + 3*u + 29, 2*z - 131 + 52 = -u. Let p be ((-5)\/4)\/(65\/(-1976)). Calculate the greatest common factor of z and p.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 1130625?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -k**2 + 25*k + 5. Let t(p) = 6*p + 2 - 3 + 3 - 1. Let c(n) = 2*a(n) - 9*t(n). Let r be c(-3). Sort -4, -1, r in decreasing order.\nAnswer: -1, -4, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*v**2 + 406*v**3 + 2*v**2 + 419*v**3.\nAnswer: 825*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i*i**1\/i*i)\/i*i**(2\/11)*(i*i\/i**(-7))\/(i*i*i**7))**(-9\/5))**(-2\/3) assuming i is positive.\nAnswer: i**(78\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 2553543838 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by -308\nAnswer: 1\/308","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 21092270 to the power of 1\/4, to the nearest integer?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/10)\/((-8062)\/149147)?\nAnswer: -37\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 63434630 to the nearest integer?\nAnswer: 399","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3383879 to the nearest integer?\nAnswer: 1840","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -138.3 take away -0.14?\nAnswer: -138.16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 21435525?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*m, 0 = 2*o + 3*m - 126 - 14. Suppose -1 = 2*d - 13. Let w = o + d. Is 23 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -88376 by -22094.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 10061 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 3*t = -3*o - 13, 5*o + 3*t = 1. Solve -o*p - 4 = r + 1, 0 = 2*r - 6 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 20*v - 165. Calculate h(11).\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1593*i**2 + 1929*i**2 - 4*i**4 + 2720*i - 1830 - 4570 - 40*i**3.\nAnswer: -4*(i - 8)*(i - 2)*(i + 10)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 207a88 (base 11) to base 8\nAnswer: 1211665","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 234337*h**5 - 90883*h**2 wrt h?\nAnswer: 14060220*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 53\/4 of a millennium?\nAnswer: 1325","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 1459 = 4*b + 215, -3*y = 16*b - 920. What is the least common multiple of 3042 and y?\nAnswer: 12168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9 + 14 - 8)*(6*a**2 + 35*a - 35*a).\nAnswer: -18*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 861*q**2 + 0*q - 860*q**2 + 14*q**3 + 0*q in the form p*q + n*q**3 + s + b*q**2 and give b.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 6, p: 2, u: 1, n: 2, t: 1}. Give prob of picking 1 p and 1 g.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 33*a**2 + 18*a + 12. Let o(q) = 33*q**2 + 24*q + 14. Let b(s) = -7*k(s) + 6*o(s). Let u(v) = -4*v. Determine b(u(p)).\nAnswer: -528*p**2 - 72*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 - 19 = -3*s + 20 for s.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 429359923.\nAnswer: 401, 823, 1301","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1.462 - -45.538. What is the third biggest value in -1, 0.5, -0.01, i?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n - 13 = 2. Let c be 4\/4 + 1 + n. What is the lowest common multiple of c - 4\/((-8)\/26) and 4?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 47 - 47. Suppose c*o = 2*o - 48. What is the derivative of 6*h**3 - 2 - o*h**3 + 7 + 1 wrt h?\nAnswer: -54*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -330*x**3 + 8*x**2 - 18*x - 66. Is b(-3) a multiple of 107?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/(216\/24))\/((2\/(-1))\/(-42)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 16602 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c and 1 b when three letters picked without replacement from {b: 8, c: 5, t: 3}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2129082344 to the nearest integer?\nAnswer: 1286","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -127\/21 + 19\/3. Let b = 0.7 + 0.3. What is the closest to d in -0.1, 1\/4, b?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -14*l**2 - 350*l + 2601. Determine j(6).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 265 = -3*v, -4*v = -5*b + 2*b + 400. What is the units digit of 4\/6 + b\/15?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n = 5*k + 5004, -7*k = -2*k - 5*n + 4995. What is k rounded to the nearest 1000?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + (0 + -14 - ((23 - 30) + 14))?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 88 is divided by 49.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.6 * -29.\nAnswer: -17.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 19370 to the nearest integer?\nAnswer: 139","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = -0*b + k + 12, 3*k + 16 = -b. Let o be 1 + -2*130\/b. Suppose -6*y + y + o = 3*m, 0 = -y + 3*m + 24. Does 15 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in fifty-five halves of a millimeter?\nAnswer: 27500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q = -4*j - 3*q - 36, -3*j + 2*q - 27 = 0 for j.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) be the first derivative of f**5\/20 + f**4 - f**3\/2 - 3*f**2\/2 + 9*f + 3. Let m(g) be the first derivative of k(g). Is m(-9) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.28 + 3753711.\nAnswer: 3753711.28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 59 + 4*c - 59 - 4*c**3 - 5*c**2 + 0*c**2. Let q(n) = -2*n**3 - 2*n**2 + 2*n. Let x(g) = -2*d(g) + 5*q(g). Factor x(w).\nAnswer: -2*w*(w - 1)*(w + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c + 469980 = c + 4*m, 0 = c - 3*m + 117485. Round c to the nearest ten thousand.\nAnswer: -120000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4898*a + 229745 + 84860 = -50745 + 37184 for a.\nAnswer: -67","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 1 y when two letters picked without replacement from yeyeymddyyymm?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*o + 10*t = 13*o + 4*t, -t = 4*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 - -3 - (18 + 28 + -19).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f = -2*p + 7, -24*f + 19*f = -2*p - 33 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 250 - 2252\/9. Let t = 64728 - 64737. Is r greater than t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 258 a factor of 1069990?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/4*(-3)\/18?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -12683, -12550, -12417?\n\"Answer: 133*f - 12816","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Do -4 and -49 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 21, -4, 1 in ascending order.\nAnswer: -4, 1, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -8510, -8511, -8510, -8507, -8502, -8495?\nAnswer: -8486","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 0 + 1 + 1166\/(-781) and (-438)\/(-72) + (-22)\/(-33)?\nAnswer: 284","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (35\/(-77))\/(3\/(-33))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.0441613 and -4.\nAnswer: 0.1766452","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hqhqqhqqhhhhqhqhqhhq. Give prob of picking 2 q and 1 h.\nAnswer: 33\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -j**3 - 2*j**2 + 4*j - 1. Let u be h(-5). Let x = u + 3. Does 16 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_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 hundreds digit of 1500?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -515\/14 or -38?\nAnswer: -515\/14","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 2*c**2 - 5*c - 7. Let y be h(-10). What is the greatest common divisor of y and 324?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 2*v. Let f(l) = 48231*l. Give f(w(g)).\nAnswer: 96462*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 5178, -5, -1, -4, 3.\nAnswer: -5, -4, -2, -1, 3, 5178","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 46 + -44. Differentiate -3*l**f + 11*l**2 - 2*l**2 - 1 - 4*l**2 wrt l.\nAnswer: 4*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 9*c*p**2*r**2 + c*p*r**2 - c*r - 2*c + 4*p**2*r - 4*p*r + 5*r**2 + 3*r wrt c.\nAnswer: 9*p**2*r**2 + p*r**2 - r - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2038*r + 82199*r - 46960*r.\nAnswer: 37277*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 780369476*c**2 + 215298910*c wrt c?\nAnswer: 1560738952","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) be the third derivative of j**6\/120 - j**5\/6 + 5*j**4\/12 + j**3\/3 - 276*j**2. Determine d(9).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9 = -5*a + v + 3*v, 3*v + 8 = 4*a for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 136*l - 1512900 = 13*l. List the prime factors of l.\nAnswer: 2, 3, 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-21 + 9 + 32)*1\/6.\nAnswer: 10\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -z**4 + 2435*z**3 + 24417*z**2 + 80649*z + 88020.\nAnswer: -(z - 2445)*(z + 3)**2*(z + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -7 - 27?\nAnswer: -2e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/(10\/60*-6).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -c**3 + 3*c**2 + 4*c - 3. Suppose 4*x + 0 = 16. Let b be h(x). What is the third smallest value in -1\/4, -4\/3, b?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1123200 + 102010?\nAnswer: -1021130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r - r + 20 = 0 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 159 and 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5*(-12)\/10 + -1*(-575)\/(-92).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 923, 3697, 8321, 14795?\n\"Answer: 925*y**2 - y - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -c**2 + 9*c + 36. Calculate y(11).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 13) to base 9.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = k**2 - 2. Let x be b(-5). Let q(i) = -40*i + 1. Let d be q(-3). Suppose -2*h + d = x. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*h - 7 + 19 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (39\/6)\/((-4)\/(-240)*5). Suppose 0 = i*m - 72*m - 1248. What are the prime factors of m?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 358 is divided by 18?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 544 + -298. Suppose z = 4*p + t, 104 = -2*p - 3*z - 12. Let i = p - -85. Does 12 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 106, 40204 in descending order.\nAnswer: 40204, 106, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -n**3 + 4*n**2 + 4*n + 7. Let g be z(5). Let t(x) = -x - g*x + 4 + 0*x - 3. Calculate the remainder when t(-10) is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*b = -60 - 0. Let a(q) be the third derivative of 0 + q**3 + 0*q + 1\/60*q**5 - 1\/4*q**4 + 5*q**b. Give a(6).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5 - 4. Let t(a) = 5*a + 10. Let d(w) be the third derivative of w**4\/24 + w**3\/6 - 1577*w**2. Give q*t(l) - 6*d(l).\nAnswer: -l + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (171 - (18 + 74)) + -72?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 2*v + 35 = 5*y, 3 = -3*v - 4*y. Let c = v - -9. Calculate the smallest common multiple of c and 9.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that d**2\/3 + 548012*d\/3 + 75079288036\/3 = 0.\nAnswer: -274006","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 2209346873 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -32251970 rounded to the nearest 100000?\nAnswer: -32300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 21 + -15. Suppose -2*p - 420 = -v, -p + v - n*v - 210 = 0. Find the common denominator of (-8)\/(-28) - (-1334)\/p and -75\/2.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -13429804405.627993009 - -30.627993009. Let c = q + 13429803955.00000343. Let k = c - -420. Round k to 7 dps.\nAnswer: 0.0000034","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 453824616?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) be the second derivative of 0*h**2 + 7\/30*h**6 + 9*h + 0*h**5 + 0*h**4 + h**3 + 0. Find the second derivative of c(v) wrt v.\nAnswer: 84*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2)\/(-21)*(-7)\/(-15). Let p = h + 131\/90. Suppose 2*d = -2*x + 3*x - 9, 4*d = -x - 9. Are x and p equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 108900.002 + -109048. Let z = d - -149. Let k = z - 1. What is k rounded to 2 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 212179 is divided by 2099?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 4027.383 kilometers?\nAnswer: 4027383000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -1. Let a be (-2 - (3 + -5)) + (-3)\/((-21)\/(-28)). Let t(n) = n**2 + 15*n + 4. Give a*c(o) - t(o).\nAnswer: -o**2 - 15*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1 - -1 - (-6)\/9*3. Suppose -5 = -n*v + 3. Suppose -1\/4*t**v - 1\/2*t - 1\/4 = 0. What is t?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 12287, 24566, 36843, 49118?\nAnswer: 61391","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 - (11 - 15 - (0 - 0))?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-f - 2*f + f + (0 - 3 + 4)*(2*f + 0*f - f) + 2*f + 3*f - 3*f + 0 + 3*f + 0 - f + 3*f - 5*f)*(5 - 2*f - 5 + (-4 - 4 + 7)*(2*f + 0*f - 3*f) + 0 + 0 - f).\nAnswer: -2*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 23152 take away 17493?\nAnswer: 5659","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 10*s - 2. Let f be ((-12)\/16)\/((-1)\/4). Let u be x(f). Let c be (-7)\/(-2)*24\/u. Solve 0*j + 4 = 3*p + j, c*j - 12 = p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (122\/13725*54)\/(2\/(20\/18)).\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 6\/7 and -30\/701.\nAnswer: 4907","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3 + 3 - 5 + o + 6 + 474*o**2 wrt o.\nAnswer: 948","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3961283.\nAnswer: 3961283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**9\/i)\/i)\/(i**(-2)*i) assuming i is positive.\nAnswer: i**8","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 85 + 41 - 2*m**2 - 90*m + 89*m. Let h be a(7). Calculate the highest common divisor of 91 and h.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh smallest value? (a) -2\/17 (b) 0 (c) -17 (d) 4 (e) 2005 (f) 3 (g) -1\/333\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.5, -0.004, -16, -5\/79?\nAnswer: -0.004","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in thirteen quarters of a millennium?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-5719)\/(-43) - 4\/6*-3. Suppose k = 4*k - 4*b - 1380, k + 2*b = 460. Suppose h + z - t = 0, k = 4*h - 3*z - 66. What are the prime factors of h?\nAnswer: 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 26*f**3 - 1560*f**2 - 2. What is i(60)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 3712358*b**4 + 11613070.\nAnswer: 14849432*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1 + -3. Let l be 3*15\/9 + c. Suppose -2*a = l*h + 2 - 433, 4*h = 5*a + 567. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + m - 4 = 0. Let u = m + 4. Let t(a) = a**3 - a**2 - a + 580. Let p be t(u). Round p to the nearest one hundred.\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -12, 4, -9, 2.3 in descending order.\nAnswer: 4, 2.3, -9, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1 + 6. Put r, 1\/4, -1\/3 in increasing order.\nAnswer: -1\/3, 1\/4, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 217 + 1349 = -128*p + 158 for p.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -3*t**3 - 15*t**2 + 39*t - 33. Let u(p) = 6*p**3 + 30*p**2 - 78*p + 64. Let h(x) = 6*u(x) + 11*y(x). Factor h(k).\nAnswer: 3*(k - 1)**2*(k + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 41 divide 283228?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1175\/2 - -576. Suppose -6 = 3*n + 5*h + 89, 4*n = 4*h - 180. What is the common denominator of 218\/n + (3 - 2) and i?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -10? (a) -3\/4 (b) -2\/3 (c) -24\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1\/3*s**5 + 0 + 10\/3*s**2 + 2*s**4 - s - 4*s**3 = 0. Calculate s.\nAnswer: 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.04 - -0.96. Suppose -4*w + 5*z = -133, -71 - 27 = -4*w - 2*z. Let j = w - 30. Which is the nearest to 0.1? (a) g (b) 0 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -101, 8.5, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 greater than or equal to 222270?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -84? (a) 29 (b) 1\/7 (c) -2\/9 (d) -12 (e) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 495?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*i + 0 + 1 - 8*i + 5 + 5*i + i.\nAnswer: 3*i + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 8*o + 7. Let a be ((-2)\/3)\/((20\/(-36))\/(-5)). Let c(x) = 7*x + 6. Determine a*c(j) + 5*k(j).\nAnswer: -2*j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 15127 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -47072*b**2*k - 14301*k with respect to b.\nAnswer: -94144*b*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -3 + -3 + 2 - (-185)\/45. Let v = -14 + 9. Let d = v - -7. What is the second biggest value in -4, c, d?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(144)*2*6*-4)\/((sqrt(12) - (sqrt(12)*1 + sqrt(12) + sqrt(12)))*-5 - 3*(sqrt(588) - sqrt(12))).\nAnswer: 12*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -3998*b - 10. Let i(v) = -7995*v - 19. Let p(q) = 6*i(q) - 13*w(q). Let h be p(-4). What is h rounded to the nearest 1000?\nAnswer: -16000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-275)\/550*6*2*-3*(-72)\/(-16).\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4931659*m*r*s - 64*m*r - 4*r - 678 wrt s.\nAnswer: 4931659*m*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -175*s**3 + s**2 + 4*s + 3. Give x(-1).\nAnswer: 175","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -k. Let t(q) be the second derivative of q**3\/6 - 11*q**2 + 24*q + 3. What is t(a(f))?\nAnswer: -f - 22","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-6)\/10)\/(2\/(-10)). Let s be ((-6)\/2)\/(r\/(-4)). Let 1\/2 + 0*z + 0*z**3 - z**2 + 1\/2*z**s = 0. Calculate z.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10 + 1185\/(-120) - 7\/(-8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 74, -5, 2, -69, 34, 1 in ascending order.\nAnswer: -69, -5, 1, 2, 3, 34, 74","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g + 9 = 3*n + 4 + 8, 2*n = -2*n + 5*g - 3 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 18\/21 - (-116)\/28. Solve 9 = -r*m - l + 10, 5 = -4*m + 5*l for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -173, 1, 214, 12, 3 in ascending order.\nAnswer: -173, 1, 3, 12, 214","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1022 and 12.\nAnswer: 6132","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3.3407 - 0.0407. Which is the smallest value? (a) -16 (b) o (c) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 21\/(-6) + 2 - -1?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 12*k**5 + 17*k**3 + 179*k**2 - 4*k + 6. Let y(i) = -i**5 + 2*i**3 + i**2 + i - 1. Let o(q) = -a(q) - 6*y(q). Find the third derivative of o(c) wrt c.\nAnswer: -360*c**2 - 174","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -42 - -50. Let f(a) = -a**3 + 11*a**2 - 26*a + 17. Let y be f(x). Let o be 1 - y - (-3 - (-463)\/155). Which is smaller: -1 or o?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 22.66 - -0.34. Let o = -21.7 + t. Let d = -3.3 + o. What is the smallest value in -0.2, d, 4?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 418*w + 410*w + 420*w - 1281*w.\nAnswer: -33*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3135 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1996929 is divided by 32208.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 3, t: 1, b: 3, q: 6, u: 2}. What is prob of picking 1 u and 1 f?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -m**3 - 2*m**2 - m - 4. Let q = 223 - 111. Let y = q - 98. Calculate the remainder when y is divided by r(-3).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 2*j**3 + j**2 - 3*j - 2. Let q be b(-1). Suppose 0 = -q*t + 5*t + 3*f - 153, -2*t + 74 = -2*f. Calculate the highest common divisor of t and 264.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 402206398 a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cvvccdn. What is prob of picking 1 c and 1 v?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 2*t**3 - 5*t + 1. Calculate w(2).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) be the second derivative of 0*c**4 + 0 + 80\/3*c**3 + 0*c**2 + 157\/30*c**6 + 0*c**5 + 144*c. What is the second derivative of g(o) wrt o?\nAnswer: 1884*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 3*y + 3*y + 8*y + 110 - 4*y + 106. Is 18 a factor of r(0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 43*j - 77. Let o be r(2). Suppose q - 2 = 0, -10*f + o*f + 57 = -q. Solve f = -c + 55 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -29697452276 and -6?\nAnswer: 29697452270","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 121 a factor of 93727?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 2*k**2 + 5*k + 4. Let y(h) be the second derivative of h**4\/3 + 11*h**3\/6 + 9*h**2\/2 - 4*h. What is 9*t(w) - 4*y(w)?\nAnswer: 2*w**2 + w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -250*m**3 + 246*m**3 + 3*m**2 + m**2 - 4*m**2.\nAnswer: -4*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42 = -t + 4*t. Let o = -63488 + 63810. What is the greatest common factor of t and o?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 1382\/15 + 14\/(-105)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.9 (b) -1\/4 (c) -0.3 (d) 43 (e) 36\/5 (f) 3\/5 (g) -2\/5\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) be the first derivative of u**3\/3 + 2*u**2 - 16*u - 894. Suppose 2 + 5 = -s. Let n be v(s). Solve h + 2*f + 1 = 0, -f - n = -3*h + f for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -1036, -1034, -1030, -1024, -1016?\n\"Answer: h**2 - h - 1036","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (q**3 + 2*q**3 - 2*q**3)*(1 + 3*q - 1) - 15*q**2 + 15*q**2 + 3*q**4 + 44*q**4 + q**3 + 56*q**4 - 47*q**4.\nAnswer: 59*q**4 + q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -s. Let l(z) = 525*z - 80. Let u(m) = 526*m - 120. Let n(f) = 3*l(f) - 2*u(f). Calculate n(g(r)).\nAnswer: -523*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find q such that -486*q**3 - 1134000*q - 174600*q**2 - 711*q**3 + 35*q**3 - 5*q**4 - 673*q**3 = 0.\nAnswer: -180, -7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.467056 weeks in minutes?\nAnswer: 4707.92448","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 75658.33l in millilitres?\nAnswer: 75658330","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 36*(-4)\/1*105\/(-1680).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -17321771, -17321768, -17321765, -17321762?\nAnswer: -17321759","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 52259387 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 2*r = -181, -3*u + 2*r + 262 = -257. Is u a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 4, 2.4, -4, 3, 114?\nAnswer: 2.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 23*g**2 + 22*g + 24. Let m be (15\/(-9))\/((-36)\/108). Let u(l) = 42*l**2 + 45*l + 48. Let d(q) = m*u(q) - 9*n(q). Solve d(k) = 0 for k.\nAnswer: -8, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12977.573 less than 13?\nAnswer: 12990.573","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**4)**(-3\/7)\/(x**(-4\/7))**(-4\/17) assuming x is positive.\nAnswer: x**(-220\/119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 38609 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 n = -20 - -23. Solve 0 = -d + n*x + 4 + 6, 5*d - 17 = 4*x for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -456 divided by -57.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -3902, -0.3, -89, 2, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 166079 (b) -3 (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 30*i - 88. Let l be a(3). Let d(r) = 0*r - 2 + r + 6*r. Let s be d(l). What is the highest common factor of 120 and s?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 + (9 - 8 - (-4 + 4)) + 2\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -72124.339 rounded to the nearest 10000?\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 223547.\nAnswer: 223547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 20.936 + 0.164. Let m = 233 - 254. Let w = q + m. What is the nearest to 3\/4 in w, 4\/9, 4?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -10*o - 38. Let t be a(-5). Sort -0.3, 0, t in ascending order.\nAnswer: -0.3, 0, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 5.886449 centimeters?\nAnswer: 58864.49","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 2*n**2 + 8*n - 9. Let y(z) = -3*z**2 - 7*z + 10. Let p(v) = 5*a(v) + 4*y(v). Let j be p(5). Is 19\/3 at most as big as j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*s + 39*s = 44*s - 111350. What is the tens digit of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 169 + -175. Let h(m) = m**3 + 4*m**2 - 11*m + 8. Let t be h(o). Solve -5*j = -b - t*b, b - 3*j = 0 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 384579?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) be the third derivative of -1\/60*t**5 + 0*t**3 + 0*t + 1\/720*t**6 + 3*t**2 + 0 + 1\/12*t**4. Let v(s) be the second derivative of r(s). Calculate v(-2).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) be the first derivative of l**4\/6 + l - 2. Let g(j) be the first derivative of t(j). Let s(x) = -3*x**2. Calculate g(s(h)).\nAnswer: 18*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-656075)\/15)\/35*(0 - 33).\nAnswer: 11, 23, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(44)\/(1*sqrt(64)).\nAnswer: sqrt(11)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -308438 - 145862 = -110*y. Is y a multiple of 70?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 135124?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(200) - sqrt(200) - sqrt(200) - (sqrt(2) + (sqrt(2) - (sqrt(18)*4 + sqrt(18)))))**2.\nAnswer: 6*sqrt(2) + 19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48*u + 3*u = 315. Sort -3, -2, u, 0.22 in ascending order.\nAnswer: u, -3, -2, 0.22","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5785, 5787, 5789, 5791?\nAnswer: 5793","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -130*k - 17. Let c(g) = -65*g - 8. Let t(v) = 5*c(v) - 3*j(v). Is t(7) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 437821199?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 267867 and 2349?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 1137 divide 190705599?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 8\/6*(-3)\/10. Let v = 56262 - 56262.039. Which is smaller: b or v?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + 28\/8 + 26\/(-20)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -10*x + 29. Let d(n) = 11*n - 31. Let c(v) = 3*d(v) + 4*z(v). Let q be c(3). Solve 0 = -l - 3*j - 10, -5*l + q*j + 40 = -j for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -6*f - 1. Let y(k) = -5*k - 1. Let u(g) = -2*r(g) + 3*y(g). Give u(5).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11424 is divided by 5696.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -38542*f**2*g**3 - 2*f**2*g + f*g**3 + 3195540*f*g**2 + 42*g**3 wrt g.\nAnswer: -231252*f**2 + 6*f + 252","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3948656946 to the nearest integer?\nAnswer: 62838","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1424841?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + -4*(sqrt(11) + 0) + sqrt(11).\nAnswer: -3*sqrt(11) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = q**2 - 2*q - 26. Let z(f) be the first derivative of -f**3\/3 + 9*f**2 + 48*f - 3. Let i be z(21). What are the prime factors of m(i)?\nAnswer: 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*m + 4*d + 2, -3*d = 2*m - 7*d. Suppose m*l - 3 = 27. Solve 0 = -4*o - o + l for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 10*p**5 + 5*p**2. Let w(k) = -9*k**5 - 4*k**2. Let s(r) = -5*v(r) - 6*w(r). Find the third derivative of s(o) wrt o.\nAnswer: 240*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5 - 4. Suppose -3*d = 2*p - 18, 3*p + h = d - 16. List the prime factors of d.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 2*w**2 + 19*w + 18. Let p be q(-8). Let v be (3\/p + -2 + 2)*-8. Solve -4*r + 20 = 4*g, 3*g + v*r = g + 18 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5451351761 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -a**3 + 30*a**2 - 58*a + 63. Let l be p(28). Let h be 1 - 4\/(-8)*-2. Suppose 10*c - l*c + 3 = h. Which is smaller: 4\/17 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-116 - -12) + -4 + 2 + 3 + 782 + -787?\nAnswer: -108","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 52, 11, 4, 280, -28 in ascending order.\nAnswer: -28, 4, 11, 52, 280","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 74\/909 and (-4)\/26 - (11 + (-343107)\/31590)?\nAnswer: 27270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r + 16 = 5*b - 15, r = -b + 7 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/(-6))\/((240\/54)\/10)?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 119*m**3 - 3196811 + 3196811 - 7*m**2.\nAnswer: 119*m**3 - 7*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/(r*r**(1\/2))*r)\/(r*r**(-2\/3))*r*r\/(r**9\/r)*r*r**(-2) assuming r is positive.\nAnswer: r**(-41\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 1091*o*v*w - 223*o*w + w wrt v?\nAnswer: 1091*o*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 543 - 542.5. Sort o, -19\/26, -4 in descending order.\nAnswer: o, -19\/26, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2 * 315.2.\nAnswer: 630.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y**2 - 13194*y - 158760 = 0.\nAnswer: -12, 4410","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 243782519 and 1286.\nAnswer: 643","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -19 - -102. Suppose -t = -3*t + m + 159, 0 = -t - 3*m + z. Let s = 19 - 3. Calculate the greatest common divisor of t and s.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.08 * -11587.\nAnswer: -926.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -5.6276 from -26.\nAnswer: -20.3724","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 3*j**3 + 3*j**2 - 2. Let t(g) = -4 - 4 + 9*g**3 - 2 + 16*g**2 + 7*g**3. Give 2*t(v) - 11*z(v).\nAnswer: -v**3 - v**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 206 - 175. Calculate the remainder when 183 is divided by s.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y - 5*t - 26 = -23, -4*y - 2*t = -18 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -j**3 + 16*j**2 - 16*j - 2. What are the prime factors of p(8)?\nAnswer: 2, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -l - 2 + 0 - 6*l. What are the prime factors of a(-3)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -26 + 26.2. What is the nearest to 0 in 0.4, u, 4?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = l**2 + 4*l - 9. Suppose 10 = -5*g - 20. Let i be o(g). What is t in -4*t**i + 3*t**4 - t**2 + 3*t + t**3 - 2*t**2 = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 28647 or 28641?\nAnswer: 28647","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*g = -0*g - 3*z - 6, 3*g - 5*z - 10 = 0 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1580?\nAnswer: 2, 5, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o + 8 = 2*o. Suppose 5*j - o*x - 389 = 0, -4*j + 3*j = -5*x - 61. Is j a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -9? (a) 32 (b) 1 (c) 0.3 (d) 4\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.1132838 to four decimal places.\nAnswer: 0.1133","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -20 + 32. Let d be a\/(-54) + 40\/18. Is 42 + -2 + 1 + d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 smaller than 180\/13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -288*b - 1735. Determine w(-6).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 8\/3, -0.158, 5, 3\/2, -1, 1?\nAnswer: -0.158","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 333776 and 8464.\nAnswer: 368","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*t**3\/21 + 3297730*t**2\/7 - 4078135331202*t\/7 + 12234396100418\/21.\nAnswer: -2*(t - 2473297)**2*(t - 1)\/21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (r**3 + 3*r**3 - 2*r**3)*(4*r + 0 + 0) + 363*r**2 - 363*r**2 - 19*r**4.\nAnswer: -11*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 73518.9317 rounded to the nearest 100?\nAnswer: 73500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 401 is divided by 101?\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) be the first derivative of -c**4\/18 - 112*c**3\/27 + 176. Factor b(r).\nAnswer: -2*r**2*(r + 56)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4 in 100932, -2, 5, 4, 0?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in one quarter of a meter?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 7421 rounded to the nearest one hundred?\nAnswer: 7400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = y**3 + y**2 - 2. Let f be d(0). Let m be -6*(2\/(-4) - f). Let o be (-12)\/m*(-3)\/5. Which is the smallest value? (a) -2\/3 (b) -1 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -198780 divided by -6\nAnswer: 33130","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*m + 2*m + m)*(-3*m + 4*m - 2*m) + 2*m + m**2 - 3*m - m.\nAnswer: -4*m**2 - 2*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 17194417 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -f**5 + 18872*f**3*t**3 + 2*f**2*k - 15*f*t**3 - 7*f*t**2 + 321*k*t wrt f?\nAnswer: -20*f**3 + 113232*f*t**3 + 4*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -46*u. Let y(w) = 3525*w**2. What is y(l(g))?\nAnswer: 7458900*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_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: What is the closest to 11 in -0.9, 0.101, -2\/2953?\nAnswer: 0.101","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -31*p**4 - 6*p**2 - 7*p + 546228 wrt p?\nAnswer: -124*p**3 - 12*p - 7","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (81\/36)\/(18\/24). Determine n so that 78\/7*n**2 + 24\/7*n + 0 - 15\/7*n**4 + 39\/7*n**t = 0.\nAnswer: -1, -2\/5, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 675519, 675437, 675355, 675273, 675191, 675109?\nAnswer: 675027","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37 + 19 = -9*b. Let r(z) = -2 + b + 5621*z**2 - 5622*z**2. Let k(s) be the second derivative of 2*s**4\/3 + s. Determine r(k(y)).\nAnswer: -64*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gpg when three letters picked without replacement from ggqggpgqxxglfgxg?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -148, -245, -342, -439, -536, -633?\nAnswer: -730","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 84 and 23268.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-4)\/12 + (-12417)\/9. Let r = q - -1967. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = d**3 - 68*d**2 + 73*d + 77. Give n(67).\nAnswer: 479","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -7? (a) 3 (b) -4\/7 (c) -20 (d) 154\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 20330 and 450.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1743 by -5730.\nAnswer: -581\/1910","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 68\/(-24)*-2 + 3\/9. Suppose f*b = -0*b - 6. Let j = b - -29. Calculate the greatest common factor of j and 28.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00005360339 to 5 decimal places.\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**4\/(j*j*j\/j**3*j*j*j))**(-39))**(-8\/11) assuming j is positive.\nAnswer: j**(312\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -3*j + 5*j. Suppose -j*z + 2*h + 69 = -3*z, -2*z + 5*h = -46. Suppose -4*l + z = 3. What are the prime factors of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 9.8 - -1.9. Let k = -918 - -895.3. Let y = g + k. Which is the closest to y? (a) 0.3 (b) 2\/5 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 22 - 23. Put 4, z, -2, 1 in decreasing order.\nAnswer: 4, 1, z, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1749471 to the nearest integer?\nAnswer: 1323","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -55, -60, -63, -58, -39, 0?\nAnswer: 65","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -26.072456 rounded to the nearest 10?\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 874214033 + 107.901\nAnswer: 874214140.901","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hd when two letters picked without replacement from {h: 10, d: 10}.\nAnswer: 5\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Total of 3.9 and -6145249.\nAnswer: -6145245.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) be the third derivative of 0*q + 0*q**3 + 1\/140*q**7 + 0 + 1\/80*q**6 - 1\/40*q**5 - 1\/16*q**4 - 5*q**2. Factor n(d).\nAnswer: 3*d*(d - 1)*(d + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(512) + 4*sqrt(512))\/(sqrt(3564)\/sqrt(11) - sqrt(4)))**2.\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3980 is divided by 24?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 5*r = -2, 4*c - 3*c = -5*r - 12. Is 478*1*c\/(-14) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0014952 to four dps.\nAnswer: 0.0015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 979713?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in 1\/4, -4, 2\/434919, 3?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(300) + 0 + sqrt(300))*-3 + 1 + sqrt(300)*2)**2 + 3.\nAnswer: -80*sqrt(3) + 4804","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 943 * 0.5.\nAnswer: 471.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*l + 4*y - 6*y + 8 + 16 = 14*l, 4*l + 21*y - 340 = -141*y for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -80 + -4?\nAnswer: -84","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 600*l - 11176038 = 447*l. Is 15 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1428.991 microseconds in milliseconds?\nAnswer: 1.428991","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in seven halves of a kilogram?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 72 - 72. What is the closest to 1\/4 in -1\/6, 0.02, h?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 321.3606 years?\nAnswer: 3.213606","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b + 18 = -4*m, 2*m + 30 = 12*b + 10 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-278)\/4 - 7\/(-14) - 4. Let j = 205 + f. What are the prime factors of j?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 180 - 172. Find the second derivative of l + 11 + 20*j + 37*j**5 + 8 - 30 wrt j.\nAnswer: 740*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22 + 15 - u - u + 7.\nAnswer: -2*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) be the third derivative of -3*o**4\/4 - 7*o**3\/6 + 31*o**2. What is the derivative of l(d) wrt d?\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 6 and 11806?\nAnswer: 35418","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r and 1 d when three letters picked without replacement from hrrhdd?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h*h**(-14\/5)\/h*h*h**8*h**(-2\/13)*h**(6\/7)*h*h assuming h is positive.\nAnswer: h**(4051\/455)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 26224 + -18275. What is the tens digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.5173 rounded to one decimal place?\nAnswer: -1.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5 + -2. Let r(c) = 5*c - 1. What is the least common multiple of r(1) and ((-42)\/(-9) + -3)*t?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find r, given that -4*r**3\/7 + 352*r**2\/7 + 13888*r - 9840640\/7 = 0.\nAnswer: -160, 124","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3\/6 - 130\/(-4). What is the units digit of (-2)\/(-6) + 12001\/s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, 4, 11, 1, -4, -29 in descending order.\nAnswer: 11, 4, 1, 0.2, -4, -29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 238 minutes before 10:14 PM?\nAnswer: 6:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g = -g + 3*m - 328, 4*g - 3*m = 1237. Suppose -6*w - 23 = g. Let k = 28 - w. What is the remainder when k is divided by 44?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 2, 5281 in descending order.\nAnswer: 5281, 5, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o**(-2))**(-3\/14)\/(o**(2\/7)*o)**(-13))\/(o*(o*o\/o**(-1))\/o*o**(5\/3))**50 assuming o is positive.\nAnswer: o**(-9089\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -200900, -401793, -602686?\n\"Answer: -200893*r - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4437? (a) 2\/23 (b) -0.12 (c) -2\/9 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 7*c**2 - 8*c - 6. Suppose -5*a - 15 = 0, -4*r - 9 = -3*r + a. Let j(o) = -6*o**2 + 7*o + 5. Determine r*j(w) - 5*g(w).\nAnswer: w**2 - 2*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -13759000 rounded to the nearest one hundred thousand?\nAnswer: -13800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 981 + -980. Let m(g) = g**3 + 10*g**2 + 11*g + 23. Let p be m(-9). Solve -o = u - p for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(168) - (sqrt(168) - (sqrt(168)*2 - sqrt(168))*-6))*4)\/(sqrt(294)*-2 - (-2*sqrt(24))\/sqrt(4)).\nAnswer: 20*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -8221905*m**3 - 16*m**2 + 80401*m + 2 wrt m?\nAnswer: -49331430","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*g + 3*g - 3*g)*(1 - 6 + 3) - 3*g + g + 5*g.\nAnswer: -g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (6\/(-21))\/((-1)\/(-8)). Let x = t - -34\/21. Let l = -19 - -19.1. Which is greater: l or x?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1\/139 - 136\/417. Which is smaller: z or 41?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -931932, -1863848, -2795746, -3727626, -4659488, -5591332?\n\"Answer: 9*x**2 - 931943*x + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 395 - -3?\nAnswer: 398","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cc when two letters picked without replacement from {c: 11, d: 3}.\nAnswer: 55\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 81019 divided by 6\nAnswer: 81019\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c and 1 s when three letters picked without replacement from cscs.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) be the third derivative of -a**6\/900 - a**5\/75 - a**4\/20 + 2*a**3\/3 - 3*a**2. Let u(j) be the first derivative of v(j). Solve u(y) = 0 for y.\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -n**3 + 7*n + 1. Let j be q(-5). Suppose 5*k - j = 54. Let i = 21 - 6. Calculate the remainder when k is divided by i.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1895\/25 - (-36)\/30. Suppose 111 = -5*f + 286. What is the highest common factor of f and q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1)\/(-6) + (-517)\/(-66). Let h(q) = q**3 - 8*q**2 + 10*q - 5. Let z be h(g). What is the highest common divisor of z and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 47731611 is divided by 115.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 6*m - 200 = 0. Let i be (-16)\/m + (-26)\/(-10). Solve 2*g - o = -5, 0 = -i*o - o + 12 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -7145 >= -7149?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u = 2*u. Suppose u*x = -2*x + 120. Let t be x\/14*-3*-7. Calculate the highest common divisor of t and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = z**2 - 58*z + 315. Let l be x(6). Sort 1, l, -24, 31.\nAnswer: -24, 1, l, 31","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-2)\/(-16))\/((-1)\/(-90)*1))\/(7872\/31488)?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -11872766*k**2 - 5404325.\nAnswer: -23745532*k","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Let i be 12\/((-6)\/4 + 2). Suppose -3*j + 203 = -157. What is the highest common divisor of i and j?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + sqrt(468) + -2 + 3 - (sqrt(468) + 0 + sqrt(468) + 3 - (-1 + sqrt(468) + -2)))**2.\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -2*2\/(-200)*(-29730)\/(-144). Let u = 7\/16 + f. What is the common denominator of u and 73\/10?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.23 (b) -2 (c) -2\/7 (d) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - (1 + 0 + 2) - -5.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = 6 - 20. Let g = u - 4. Solve -5*c = 6*i - 2*i + 16, -g*i + 4*c - 12 = 0 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 334*y**2 - 7*y - 335*y**2 + 5 + 1. Let c be v(-7). Solve -c = -p + 3*p + 4*x, 3*p + 5*x = -8 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (1\/((-20)\/48))\/((-15)\/9325) is divided by 23.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f - 2*d = 58 - 419, -3*f - 3*d + 360 = 0. What is the smallest common multiple of f and 66?\nAnswer: 726","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -304 = -6*y - 2*y. Suppose 3*b + 36 = -4*g, 4*b + g = -g - y. Let p be (1 - -1)\/(b\/(-24)). What is the highest common factor of p and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 280*p**3*q - 314939*p**3 + 2*p**2*q - 5*p**2 + 17*p*q - 2*p + 2*q - 142 wrt p?\nAnswer: 1680*q - 1889634","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) be the first derivative of -f**3\/7 - 156*f**2\/7 - 612*f\/7 + 584. Find x, given that s(x) = 0.\nAnswer: -102, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*r**3 + 21958 + 17376 - 39328.\nAnswer: -7*r**3 + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 2*b**3 + 23*b**2 + 10*b - 9. What is the lowest common multiple of y(-11) and (80\/(-25))\/((6\/(-10))\/3)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/8*((-2)\/6 - (-15)\/(-45))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 16.9 or -2\/9?\nAnswer: 16.9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1 + -5. Is (69\/d)\/((-1)\/2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1329058079 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -1c95 (base 14) in base 8?\nAnswer: -12153","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -139\/48 and ((-302)\/(-144))\/(87\/(-63) + 86\/(-301)).\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*a**2 - a**3 + 1 - 8*a**2 + 5*a**2 as p*a**2 + t*a**3 + j*a + n and give t.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -4, 23, 3, 1, 69 in ascending order.\nAnswer: -4, -1, 1, 3, 23, 69","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 31963*c - 41200309. Give n(1289).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 36 - 29. Suppose h*c = 6*c. Solve c = i + 1 - 0 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -27.003 - 545563\nAnswer: -545590.003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 22 - 47 + 16 + 5*v. Let l be (-50)\/(-8) - 2\/8. Is a(l) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -m**2 + 8*m - 5. Let r be k(7). Suppose r*y + 2 = 2*d, y = -1 + 3. Is 5 - d - 2*-19 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(2 + sqrt(3)) - 6*(sqrt(3) - (sqrt(3) + -1))) + ((sqrt(3) + 0 + sqrt(3))*3*5)**2.\nAnswer: 4*sqrt(3) + 2702","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 103 + -166. Let c = m + 63. Sort -5, 0.1, c, -1.\nAnswer: -5, -1, c, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -3*p**3 + 3*p**2 + 8*p - 4. Let t be -1 - (9\/6)\/((-27)\/(-18)). Calculate the smallest common multiple of b(t) and 1.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 33 times 16?\nAnswer: 528","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7232, -7233, -7234, -7235?\nAnswer: -7236","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is nineteen quarters of a gram in milligrams?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.0266 - 65019417.7231.\nAnswer: -65019417.6965","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -71770 = -4890*y + 84710 for y.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3 + 6. Suppose 2*q + q = 12. Suppose -2*n - 1 = 3*b, -q*n + 10 = n - 5*b. Sort n, 0, p in decreasing order.\nAnswer: p, n, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 1 = -0. Suppose 4*o + 5*l - 25 = 0, o + t - 3 = 3*l. Suppose -6*i + 7 = -o. Solve -i*k + 7*k = 15 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*h + 24*h + 3*y = -8546, 0 = -h - 3*y + 1720. What is the greatest common factor of 58 and h?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11101 (base 2) in base 14?\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = n**3 + 17*n**2 + 32*n - 155. Determine p(-14).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 2*m**3 - 5*m**2 - 8*m - 10. Determine d(6).\nAnswer: 194","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5673.056 - 5673. What is the closest to l in -2, 0.3, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/(65\/(-39)) - 1 - ((-11196)\/(-1248) + -13)?\nAnswer: 3\/104","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -184.18 + 189. Let u = l - 1.36. Round u to 1 decimal place.\nAnswer: 3.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 0\/(3\/(-6)*-4). Suppose l*g - g = -5. What is the units digit of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -3.789259 to three decimal places.\nAnswer: -3.789","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 44*t - 53. Let u(f) = 15*f - 18. Let k(s) = -4*d(s) + 11*u(s). Let n be k(-6). Suppose l - n = -l. What is the greatest common divisor of 60 and l?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -1637 and 6.291538?\nAnswer: 1643.291538","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15 - 8 - 6 - 7.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/10)\/(15\/(-150))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 3 = -q. Suppose -11*t = -15*t. Suppose -2*b + 15 - q = t. What are the prime factors of b?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(88) + (sqrt(88) + (sqrt(88) + sqrt(88) + -1*sqrt(88) - sqrt(88) - sqrt(88)))*-1)\/(sqrt(72) - -3*sqrt(72)).\nAnswer: sqrt(11)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.09, 0.3, 3.53, -568?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 7*(-10)\/(-2975)*-5. What is the second biggest value in -1\/2, -2, -3, x?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 9 in 0.5, 1.754, -8, -407?\nAnswer: 1.754","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8550475?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*o + 5*p - 3*p + 2, 3*o - 5*p - 3 - 25 = 7*o for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 48991*a**2 + 48981*a**2 - 146954*a**2 + 48984*a**2.\nAnswer: 2*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 12*(142\/111 + (-364)\/(-6734)). Solve 5*d + 45 = 5*w, -17*d = 2*w - k*d - 3 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*p**2 + 17*p**2 - 4*p**2.\nAnswer: 20*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1458 = -14*a + 5*a. Calculate the highest common factor of 126 and a.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 29, -8, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Product of -4910 and 32.\nAnswer: -157120","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**2\/a**(-2\/5)*(a\/(a**(2\/5)\/a))**(-37\/4) assuming a is positive.\nAnswer: a**(-62\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 less than 2533226613?\nAnswer: 2533226613.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-48)\/350)\/(3\/(135\/6)). Which is smaller: l or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1811 divided by 5?\nAnswer: -1811\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = -20*r + 147. Suppose -3*f - 9 = -4*f. Calculate the lowest common multiple of f and r.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(675))**2 + -3*(5 + -2*sqrt(3)) + 0.\nAnswer: 6*sqrt(3) + 2685","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -11\/28 and 137\/70?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -30 + 33. Suppose q*t + 16 = -4*d, 2*d - 3*d + 15 = -4*t. Sort -3, d, -7, 1.\nAnswer: -7, -3, d, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (296*1)\/((-42)\/63). Let x be 3857454\/4*n\/(-18). Suppose -7412367 = -8*b + x. What is b rounded to the nearest one million?\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 8\/501 and 123\/79492.\nAnswer: 238476","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 41*y + 2 - y**4 + 25*y**2 - 25*y**2 - 42*y - y**3 in the form f*y + q*y**3 + j*y**4 + w + p*y**2 and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0\/(-1))\/(((-180)\/6)\/10).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 8*k**2 - 10*k - 86. Let y be j(-6). Let p = -257 + y. Let b(d) = -2*d + 6. Give b(p).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 192 - 2 - (10 - 10) is divided by 33.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 218000 = -0*c - 2*c. What is c rounded to the nearest ten thousand?\nAnswer: -110000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -13 - (-35 + 2 + (8 - -5))\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wj when two letters picked without replacement from hwwjhjhjwjwjwjw?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-18)\/(-4)*(-4)\/(-6). Let q = 10 + -6. Suppose -h*n = -q*n + 13. List the prime factors of n.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 93.3 + -10.9. Let v = 20.6 + y. Let m = 99 - v. Which is the second smallest value? (a) m (b) 0.07 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2.01 - 0.01. Let b be (-33)\/(-10)*(-6)\/9. Let t = -27\/10 - b. Put t, g, -4 in increasing order.\nAnswer: -4, t, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -1 - 2 + 6*h + 15. Let f be d(10). Suppose -30 = -4*k + 2. What is the greatest common divisor of k and f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is s in s**4\/2 + 111*s**3\/2 - 113*s**2\/2 - 111*s\/2 + 56 = 0?\nAnswer: -112, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -78*r**2 + 43*r + 27. Give q(1).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 38 in -0.01, -4, -2\/3, -3\/5, 54?\nAnswer: 54","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 1 (b) 2327\/3 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 300 minutes before 10:41 PM?\nAnswer: 5:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 8\/203 < -1\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 34332.23l to millilitres.\nAnswer: 34332230","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19231 is divided by 68?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -145928.82713069 + 145558.89199268005. Let b = a - 0.06481509005. Let o = b + 370. Round o to 5 dps.\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 20, 0, 454610, -3 in descending order.\nAnswer: 454610, 20, 0, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -14 - -5 - (-13 + 13)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (1 + -22)*1420\/(-15). Suppose -244 = 8*i - n. List the prime factors of i.\nAnswer: 2, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12 + 4 + 5)*(-86 + 309640\/3600).\nAnswer: -1\/30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 141 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000046306 to six dps.\nAnswer: 0.000046","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -788685 divided by -262895?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -5*8\/10*-1. Find the second derivative of -2 + 2 + 2*f**4 - f + 2*f**y wrt f.\nAnswer: 48*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -2*n**3 + 33*n**2 + 20*n - 41. Let q be t(17). What is the highest common factor of 10 and q?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -1 - -30 - (9 - 12). Let r be (y\/4 + -4)\/1. Suppose l + 114 = r*l. What is the remainder when l is divided by 13?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 e and 1 b when four letters picked without replacement from abebbaaaabbebebbbaa.\nAnswer: 3\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x = -0*b - 3*b - 22, -x + 3*b = -2 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s + 159 + 146 = 0. Let h = s - -144. What is the remainder when h is divided by 25?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 235\/2 or 119?\nAnswer: 235\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or -1\/6282168?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-62)\/93*(-16 + 1*-2). Suppose 3*s + 4*o - 1940 = 0, -3244 = 7*s - p*s + 4*o. What is the hundreds digit of s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n**3\/7 + 92*n**2\/7 - 96*n\/7 = 0 for n.\nAnswer: -24, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -134*z - 54 = 82*z - 486. Let o(a) = 8*a - 15. Give o(z).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 35374660?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) be the first derivative of a**2\/2 + 136. Let b(g) = -3*g**2 - 181*g. Let u(o) = b(o) + 4*x(o). Let u(l) = 0. Calculate l.\nAnswer: -59, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 6 + -9. Suppose -79 = -19*a - 7*a + 25. Sort 14, f, a in decreasing order.\nAnswer: 14, a, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 47849.46482 + -47850. What is p rounded to 1 decimal place?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -38 = -5*x + g - 15, 4*x + 5*g - 30 = 0 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (168\/(-35))\/(-1) - 2\/(-10). Is (b\/4)\/(2\/776) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 3*m**3 - 3*m**2 + 3*m - 1. Suppose -4*n - 3*h + 137 = 0, -218 + 78 = -4*n - 4*h. What is the remainder when n is divided by y(2)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 230*l - 43. List the prime factors of z(4).\nAnswer: 877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 73050 and 195?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2660851, -2660853, -2660855?\nAnswer: -2660857","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 999647 is divided by 24.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3752?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 20011 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 a factor of 3455927151?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (-540)\/(-600)*(52\/36 + -1)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 16 and 256.\nAnswer: 256","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -231 - 101?\nAnswer: -332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e, 1 g, and 1 b when three letters picked without replacement from fgegffbffgffff.\nAnswer: 3\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 + 48*x + 0 - 33*x - 2*x**2 - 1 as a*x + v*x**2 + y and give v.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-36)\/(-16))\/(1\/16). Calculate the greatest common divisor of 12 and l.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 654 and 3379.\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -2*13.2\nAnswer: -26.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -18*y**2 + 2*y. Let l(c) be the first derivative of -c**3\/3 - 35. Determine l(f(d)).\nAnswer: -324*d**4 + 72*d**3 - 4*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 615 and 1599.\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3.044 - 0.044. Which is the nearest to -1\/4? (a) -4 (b) 4 (c) h (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 5, 1, -3, 30, -256.\nAnswer: -256, -3, 1, 3, 5, 30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 885030.4 decades?\nAnswer: 88503.04","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = g**3 + 9*g**2 + 22*g + 7. Let x be i(-5). Let y(a) = 2*a - 1. Let m be y(4). Let u = m - 7. Are x and u non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1239 to the power of 1\/5, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -422*q - 2*t - 10 = -424*q, 3*q = t + 13 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 2\/7, -1, -0.28?\nAnswer: -0.28","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-nine fifths of a millennium in decades?\nAnswer: 1180","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -515 + 1205. Let r = 752 - k. What is the greatest common factor of 93 and r?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -n**3 + 5*n**2 - 6*n + 7. Let w be h(4). Let t be (w\/3)\/(7\/(-21)). Sort t, -3, 5 in descending order.\nAnswer: 5, t, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) be the first derivative of -96*l**3 - 653. Let m(t) = t. Determine o(m(a)).\nAnswer: -288*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 4\/8 + 13535\/4278. Let y = 2\/713 + f. Calculate the common denominator of y and -42\/5.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2\/(-6)*-3*1. Suppose -3*u = -0*f - f - 10, 3 = 2*u + 3*f. Let t(r) = -7*r**u - 2*r - r**3 + 26 + 0*r**3 - 25. Determine t(w).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2 - 14\/(-8))*0. Let b = 4 + -9. Put b, n, -1 in increasing order.\nAnswer: b, -1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q - 4*j = -31, 784*q = 784*q - 3*j + 30 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 2*-138\nAnswer: -276","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p + 7 = 595*w - 594*w, 32*p - 2*w + 154 = 0 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 35124?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 131101.\nAnswer: 131101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -1011111001 (base 2) to base 11\nAnswer: -632","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -y**3 + 7*y**2 - 1. Suppose 0*j + j = 7. Let k be l(j). Is -2 greater than or equal to k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 40801 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 805, 6181, 20755, 49123, 95881?\n\"Answer: 766*s**3 + 3*s**2 + 5*s + 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = h**3 - 6*h**2 + h - 6. Let g be u(6). Let b = -323 - -326. Let r be g*(b\/(-6))\/(-1). What is r rounded to the nearest 10?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -2*m. Let r(q) be the third derivative of -19*q**5\/60 - 9*q**2. Give v(r(s)).\nAnswer: 38*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 566 a factor of 1125913?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 27735?\nAnswer: 3, 5, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000007534 rounded to seven decimal places?\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*z**2 - 3*z**2 - 3*z**3)*((7*z**2 - 3*z**2 - 2*z**2)*(-4 + 2 + 3) + 0*z**2 + 0*z**2 - 3*z**2).\nAnswer: 3*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40*x - 15 = -44*x - v, -12 = -3*x - v. Solve x*s = -3*m + 9, -14 = -2*s - s + 2*m for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v*v\/(v**27\/v)*v*v*v**23*v*v assuming v is positive.\nAnswer: v**3","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 14*x - 14. Let i be a(6). Suppose 75*l + 10 = i*l. Let r(w) = w**2 - 4. Let o be r(-3). Sort 2, o, l in ascending order.\nAnswer: l, 2, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5 + 8. Suppose v - 5 = -2*o + 3, 0 = r*v + 4*o - 20. Let w be 13\/v + 3\/4. Solve 0 = z + w for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is b in b**2 + 1125498*b + 3376485 = 0?\nAnswer: -1125495, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 6*n = 46. What is the tens digit of n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-4 - -1)\/(48\/64). Sort f, 0, -5 in decreasing order.\nAnswer: 0, f, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -5 + -2020?\nAnswer: -2025","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 + (-4 - (-8 + 0)) - -4?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 141*c**4*g - c**4*k**2 + 139*c**2*g*k - c**2*k**2 - c*g*k**2 wrt c.\nAnswer: 3384*c*g - 24*c*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 54*a**5*m - 1404*a**3 - a**2*m + 55*a*m - 2*a + 289*m wrt a.\nAnswer: 1080*a**3*m - 8424*a - 2*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 - 4 + 10)*(-2*x**3 + 2*x**3 + 2*x**4).\nAnswer: 24*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -5*a**3 - 777*a**2 + 1435*a + 28103. Determine y(-157).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n + 6*g - 9 = 2*n, -2*g + 10 = 0 for n.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/w**5*w)\/w**4*(w\/w**(-1))**(-18) assuming w is positive.\nAnswer: w**(-43)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 4e - 6dd8?\nAnswer: -6d8a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -82\/693 and -68\/1089.\nAnswer: 7623","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 591 - 325. Suppose -w*u = -263*u. Solve u = -3*m + 2*h + 5 - 21, m = 4*h - 12 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5168071 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3 + 1. Let t(v) = v**3 + 4*v**2 - 6*v + 7. Let p be t(-5). Suppose -l - l + p = 2*z, h*l + z - 12 = 0. What is the units digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 2792, 4 in ascending order.\nAnswer: 3, 4, 2792","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 291562312 divided by 5276?\nAnswer: 55262","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -1546, -1522, -1498, -1474, -1450?\n\"Answer: 24*x - 1570","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 8862*30\/20 - -22. Calculate the greatest common factor of 5 and q.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -703, -751, -831, -943, -1087, -1263?\n\"Answer: -16*x**2 - 687","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (26\/6)\/((-4)\/(-60)). Let n(u) = 3*u**3 - u. Let h be n(1). Suppose -7*k + h*k + q = 0. List the prime factors of k.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -16*y**3 + 194*y**2 - 11*y + 12. Let m(o) = -2*o**3 + 3*o**2 - o - 1. Let l(j) = -5*m(j) + q(j). Find the second derivative of l(d) wrt d.\nAnswer: -36*d + 358","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 251 = -1736 - 240. List the prime factors of d.\nAnswer: 17, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 9*s + 5*s - 1 + 3*s. Let b be q(1). Suppose t - 3*t = 2*z - b, 0 = t + 2*z - 3. Calculate the highest common divisor of 13 and t.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 4*r = 4380, -17207 - 4693 = -5*i - 2*r. Does 15 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -l**3 - 6*l**2 - l - 5. Let n be 3\/((1 + 3)\/(-8)). What is q(n)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2004310 a multiple of 190?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (3\/9)\/((-6)\/(-90)). Suppose b*j - 4*j = 2*k - 9, k - 4 = j. Let t = j + 24. Is 10 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-33 - (13 + -11 - (1 + -4))) + -190 + 183.\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h = -3*y + 12, 3*h - 7*h - 19 = -3*y. Let o be 16\/40 - (-188)\/y. Let q = o + -35. Solve 0 = q*x + b - 10, x + 14 = -2*x + 5*b for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 3*k**3 - 8*k + 5 - 29*k**2 - 9*k + 7*k**3. Let q(h) = 9*h**3 - 30*h**2 - 18*h + 6. Let b(d) = -5*q(d) + 6*s(d). Find u such that b(u) = 0.\nAnswer: -2\/5, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 131745031?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 21*p**3 + 45*p**2 - 54*p - 36. Let n(d) = -2*d**3 - d**2 + 3. Let k(i) = -12*n(i) - u(i). What is y in k(y) = 0?\nAnswer: 0, 2, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 1, a: 4, i: 6, k: 3}. Give prob of picking 2 a.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:00 PM and 1:24 AM?\nAnswer: 204","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -1232130 divided by 1\nAnswer: -1232130","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*c**2 - 1259*c + 1259*c - 4*c**2.\nAnswer: -4*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 3*v + 9. Let c be b(4). Let d = -6 - -16. Let f(g) = g - 7. Let o be f(d). Calculate the greatest common divisor of o and c.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -615a5 (base 16) to base 2\nAnswer: -1100001010110100101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 9 + -5. Let m(n) = 40135 + 29865 + r*n - 3*n. Let i be m(0). What is i rounded to the nearest 100000?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -35896 or -35860?\nAnswer: -35896","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3023945.\nAnswer: 5, 19, 139, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (72\/(-672))\/(1\/(-4))?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 3699841 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 125\/1074 and -79\/44?\nAnswer: 23628","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d + 0 = o - 3, 3*o = -6. Let w(z) be the second derivative of -2*z**3\/3 - z**2\/2 - z. Calculate the lowest common multiple of w(d) and 4.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5087*x**4 + 8*x**3 - 114896*x wrt x?\nAnswer: -61044*x**2 + 48*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2\/15, 969, -6, 2\/3, -2, 17\/66?\nAnswer: 969","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 22*1 + (-1346 - -1327)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 5\/2 (b) -22 (c) -0.5 (d) 3 (e) -117\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 458 - 7*h + 5*h + 3*h + 13*h + 5*h**3.\nAnswer: 5*h**3 + 14*h + 458","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i = -2*h - 0*h + 15, -9 = 3*i - h. Let x(s) = -s**3 - 3*s**2 + 4. Let m be x(i). Suppose -5*l = m - 19. What are the prime factors of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -16*x**2. Let c(l) = -15277*l**2. Determine c(u(d)).\nAnswer: -3910912*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) be the second derivative of -w**6\/72 + w**4\/6 - w**3\/2 + w. Let c(i) be the second derivative of z(i). Find the first derivative of c(b) wrt b.\nAnswer: -10*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 - (-14 - (7 + -7 + -2))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yq when two letters picked without replacement from uuxuyqxqnqqy.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1982279 is divided by 47197.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -285\/218 + -21\/109. What is the closest to -0.011 in -3, s, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1.21 - 1.019. Let g = q - -77.809. Let c = 77.897 - g. Round c to 2 dps.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:23 AM and 9:41 AM?\nAnswer: 318","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8*v - 10*v + 2*v - 11*v**2 to the form a*v + u*v**2 + r and give u.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = g**3 + 26*g**2 - 26215*g - 707108. Determine a(-27).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:18 PM and 5:06 AM?\nAnswer: 588","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 878825, 878823, 878821, 878819, 878817, 878815?\n\"Answer: -2*a + 878827","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*a + 8510 = -43924. Let h = a - 855. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 4*g = 7*g + 5, -4*g = -5*k + 16. Suppose -3*m - 35 = k*m. Find the common denominator of (74\/100 - (-7 + 6))*m and 41\/13.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -38373 or 10164?\nAnswer: -38373","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -12 + 12. Let z(y) = -y**2 - y - 4. Give z(j).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 3\/2, 2, -1\/11, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 622 divide 439754?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 4.3086 to one decimal place.\nAnswer: 4.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (-1410248)\/(-760368)*62 + -115\nAnswer: -2\/219","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -151 + 156. Let o be (-2175)\/(-2) - 1\/2. Suppose -28 = -k*q + o. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18 divided by 20.\nAnswer: 9\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 15136285961 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 2, e: 1, v: 1, f: 2}. What is prob of picking 1 t and 2 f?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is r in -2*r**4\/5 + 544*r**3\/5 - 23088*r**2\/5 - 1890944*r\/5 - 24165152\/5 = 0?\nAnswer: -22, 158","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p + 9 = -r, 53 = 3*r - 2*p - 3*p. Suppose 6*o - r = 7. Solve 0 = -5*k - o - 7 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -n**3 - n**2 + n + 1. Let h(m) = 6*m**3 - 10*m**2 + 3*m + 3. Let z(y) = 3*d(y) - h(y). Find the third derivative of z(i) wrt i.\nAnswer: -54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -73*v + 71*v + 0 - 13 = 4*t - 27, -3*t = -5*v - 4 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -296, -279, -264, -251, -240, -231, -224?\n\"Answer: -g**2 + 20*g - 315","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2.1? (a) -1\/6 (b) -1\/16 (c) -2 (d) -2\/19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -3.32 * 2\nAnswer: -6.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 255b - -126?\nAnswer: 2685","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = o**2 + 5*o + 1. Let s(p) = -p**2 - 6*p - 1. Let z be (-2)\/(-3) - 527\/93. Determine z*s(m) - 6*d(m).\nAnswer: -m**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 27\/2 of a kilometer?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -q. Let a(n) = -7*n**2 - 4*n. Determine a(v(c)).\nAnswer: -7*c**2 + 4*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -111, -202, -295, -390, -487, -586?\nAnswer: -687","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 0.3*52\nAnswer: 15.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (4 - 5) + 1 + 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) be the third derivative of v**5\/60 + 2*v**3\/3 - 31*v**2 - 2. Differentiate s(p) wrt p.\nAnswer: 2*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -t**2 + 3*t + 3. Let p(g) = -2*g - 2. Let i = -8 - -5. Let d(f) = i*p(f) - 2*c(f). Let y(q) = -2*q**2. Give y(d(z)).\nAnswer: -8*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -9*i - 5. Let m be 4\/6 - (-26)\/6. Let v(g) = -4*g - m*g + 4*g - 3. What is -4*n(q) + 7*v(q)?\nAnswer: q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/(k\/(k*(k\/(k**(-38)\/k*k*k)*k)\/k))*k*k**(-1))\/((k**19\/k)\/(((k*k\/(k**(-1\/16)*k))\/k)\/k)))**(-34) assuming k is positive.\nAnswer: k**(-5457\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 1 p when two letters picked without replacement from pvhhyheehvppuepveee?\nAnswer: 16\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (60 + 11 + 21)*(0*d**2 + 5*d**2 - 9*d**2 + (-2 + 1 + 0)*(3*d**2 - 3*d**2 - d**2) - 2*d**2 + 2 - 2 + 2*d**2 - 3 + 3).\nAnswer: -276*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = f - 2*h + 6, 3*f = -5*h + 14. Let u be f\/6 - 3\/(-6). Let g = -204 - -199. Which is the second biggest value? (a) -0.2 (b) u (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*g**2 + 0*g**2 + 0*g**2)*(0 + 0 + 2*g) + (495 - 6*g**2 - 495)*(0*g + 5*g + 5*g) to s*g**3 + b + h*g + f*g**2 and give s.\nAnswer: -64","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 30688.699 rounded to the nearest ten thousand?\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-220)\/(-6) + (-1)\/(-3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 130\/1495 + 134\/46. Solve -o*y + 4*y = 4 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 577?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1 + 3. Suppose 3*v + n - 14 = 0, a*v - 6 = -5*n - 1. Solve -v*p = -0*p - 5 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-93)\/220*(-723)\/27. Let x = 123\/55 - o. Let u = 69291\/14 + -4947. Calculate the common denominator of u and x.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -v**3 + 4*v**2 + 4*v - 4. Let w be i(4). Suppose w*j - 8 = 14*j. Let p = 4 - j. Let z(k) = -k + 5. Calculate z(p).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1469 is divided by 443?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 82 minutes before 8:26 AM?\nAnswer: 7:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -4760447 (base 8) to base 15\nAnswer: -1ab04d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = f**3 - 1. Calculate h(1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2753*n + 2747*n - 72 for n.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 7*l = -358. Let o = l - 18. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find m such that 3*m**3 - 72*m**2 + 249*m - 180 = 0.\nAnswer: 1, 3, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 3488327 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*w**4 + 0*w**4 - w**4 + (-w**4 + 0*w**2 + 0*w**2)*(0 + 0 - 2).\nAnswer: -2*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 17600 to the nearest integer?\nAnswer: 133","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 44802374.\nAnswer: 2, 47, 541, 881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2301 (base 5) to base 4.\nAnswer: 11012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(4) + sqrt(4) + sqrt(196)*1)\/(1*sqrt(288)).\nAnswer: 3*sqrt(2)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in -341, 0, -3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 28 - (7 - -4 - -8).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 9399*j - 5. Let i be x(-5). What is i rounded to the nearest ten thousand?\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.039096 rounded to 3 dps?\nAnswer: -0.039","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 24*z**2. Let a be (0 - 2\/2)*(-55 + 8). Let i(j) = -a - j + 47. Calculate i(u(n)).\nAnswer: -24*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 4\/((14\/35)\/(3\/5)). Let n = -20 - -29. Let v(m) = -3*m - 3. Let o be v(-2). Solve n = -o*i - r for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 303298260 divided by -5\nAnswer: -60659652","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -173653.8111 to the nearest 100000.\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 47\/(-15)*-1 - 3. Which is the second biggest value? (a) -3\/8 (b) 5\/3 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(10\/7)*j*j)\/(j*j\/(j\/j**6)))\/(j**(-1\/3)\/j)**17 assuming j is positive.\nAnswer: j**(401\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*y = -15*y + 81. Suppose -3*p = -4 - 2. Put p, y, -7 in increasing order.\nAnswer: -7, p, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 104302161?\nAnswer: 3, 429227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/5? (a) 1\/5 (b) 5 (c) 91142\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 109756?\nAnswer: 2, 23, 1193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y, 1 x, and 2 v when four letters picked without replacement from vyxvv.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 57\/2 of a milligram?\nAnswer: 28500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -c**2 + c + 46. Let t be -6 + 13 + (-1 - 0). Let i be s(t). Which is greater: i or 6?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*n - 3 - 20*n + 3.\nAnswer: -23*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-2)\/6)\/(-1*(-3)\/(-18)). Let m be 2 - v\/(-1)*(-24)\/(-12). Suppose -2*s = -6 + m. Solve s = -5*t - 9 - 16 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 96714.\nAnswer: 2, 3, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -7*v**2 + v**2 + 6*v**3 + 5*v**2 + 11 with respect to v.\nAnswer: 18*v**2 - 2*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 4 and -2366891.9298.\nAnswer: -2366887.9298","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (-2*1*sqrt(320) + sqrt(320) + 2 - (2 + (2*sqrt(320))**2 + 2 + sqrt(320)))*4)*-2.\nAnswer: 128*sqrt(5) + 10260","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -505 + 0*w**2 + 505 + 7*w**2.\nAnswer: 7*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 159 = 19. Let k = -20 + r. Suppose -2*c + k = g + g, -4 = -4*g. Which is smaller: 8\/5 or c?\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7*((-96)\/(-28))\/8?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 26 + -23.81. Let n = y + 7.81. What is the smallest value in -4, -5, n?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -938 - -506. Find the common denominator of -11 and -4 - (v\/30 + 1).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 109*5\nAnswer: 545","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -10 (base 9) to base 11\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 76 + -58. What is the remainder when 373 is divided by r?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/(-3))\/((-2420)\/(-5445))*(-268)\/3.\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 51*p**2 - 29*p + 197. Is w(10) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -4551*s - 40966. Determine z(-9).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -62.9492631 minus -1817.2?\nAnswer: 1754.2507369","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 561, 1131, 1695, 2253?\n\"Answer: -3*g**2 + 579*g - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -8*m + 1. Let c(b) = -35*b + 5. Let d(u) = 2*c(u) - 9*h(u). Determine d(-3).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 89.47283l in millilitres?\nAnswer: 89472.83","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 62948.\nAnswer: 2, 15737","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0 + -0.3. Let v = f + 0.8. Let z = -205\/4 - -51. Sort 5, v, z.\nAnswer: z, v, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 710\/5983 + 2\/193. Which is smaller: 0 or j?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 205*r = -471*r. Find x, given that 2\/23*x**4 + 8\/23*x**3 - 8\/23*x - 2\/23*x**2 + r = 0.\nAnswer: -4, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -u**3 - 4*u**2 - 5*u - 2 = 0. What is u?\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -18 not equal to 0.3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-1 + 1 + a)*(-4 + 1 - 1) + (-5 + 5 - 5)*(-7*a + 4*a - 3*a))*(5*a**3 + 3*a - 3*a).\nAnswer: 130*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = m**3 - 47*m**2 - 20*m - 1374. Determine q(48).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 4954 = 5*g, 0*g = -5*n + g + 8294. Is 2 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(2\/5)\/(i\/i**7))\/((i*i**(-1)*i*i)\/i**(-3))*((i\/i**(-4\/3))\/(i\/(i*(i\/i**(-5))\/i*i*i)))\/(i**(3\/4)*i**(-4)*i) assuming i is positive.\nAnswer: i**(779\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + -1 + sqrt(68) + sqrt(68) + sqrt(17))**2.\nAnswer: 10*sqrt(17) + 426","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -23364 + 23?\nAnswer: -23341","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 901448 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: Find p such that p**3\/3 + 3907*p**2\/3 - 10456*p - 62640 = 0.\nAnswer: -3915, -4, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 63\/618460 and -99\/3128680.\nAnswer: 53187560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -33424 or -367656\/11?\nAnswer: -367656\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j - 1 = -5*u - 17, 4*j + 8 = -u. Which is the closest to j? (a) 0.4 (b) 2\/7 (c) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -n**2 + 6*n + 8. Let z be a(7). Let v(o) = -o**2 + 6*o - 10. Let r be v(4). Let t be (2 - (2 - r))*-1 + 0. Solve -3*d + z = -t for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 47083 and -0.07.\nAnswer: -3295.81","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 2, i: 18}. Give prob of sequence vivi.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -58428050*l**2\/3 - 29662640*l - 11294304 = 0.\nAnswer: -4116\/5405","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1 - 1)\/(-4)*(23 + -15). Find the second derivative of -17*z + 16*z**5 + 4*z**4 - 15*z**l + 11*z**4 wrt z.\nAnswer: 320*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -23\/1220 and 27\/1950475.\nAnswer: 7801900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hwsw when four letters picked without replacement from {s: 1, w: 13, h: 3}?\nAnswer: 39\/4760","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 28 + -8. Let u(s) = -3*s**3 - 2*s + 2. Suppose -2*k - 2 = i, -k + 0*i + 4*i = 10. Let n be u(k). Calculate the greatest common divisor of d and n.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12160 is divided by 275.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + ((sqrt(324)\/(-2*sqrt(9)))\/(sqrt(12) - sqrt(1452)*-1) - (1 + 4*(sqrt(6)\/sqrt(2) + sqrt(3) + sqrt(3))*-1))**2.\nAnswer: -287*sqrt(3)\/12 + 82561\/192","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1535 at least as big as 1536?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -g**2 - 10*g - 7. Let m be c(-9). Let v = m - -2. What are the prime factors of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3 or -0.245?\nAnswer: -0.245","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o = 2*v - 134, -5*o + o = -3*v - 119. Let y = -8 + o. Calculate the lowest common multiple of 12 and y.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5699.1141us to hours.\nAnswer: 0.00000158308725","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 2 = -f - 1, 5*f = 2*b - 6. Let c be ((-4)\/(-6) + 0)*3. Suppose 2*p + 3*p = 10. Solve 0 = -4*n + c*o + o - 14, f = -5*n - 4*o - p for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by 59?\nAnswer: 3\/59","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 417569388.200000736 - 417569457.2. Let m = 69 + l. Round m to seven decimal places.\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 54303703.\nAnswer: 54303703","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 32 - 24 + 61*w**3 - 38 - 35 - 171*w**3 + 56*w**3 + 56*w**3.\nAnswer: 2*w**3 - 65","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u = -4*u + 4. Suppose -5*z + 5*x - u = x, x = z. Is 1\/4 <= z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.2 * -11.7596.\nAnswer: 2.35192","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 41141 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -4 - -21?\nAnswer: 1d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 96.6*-80\nAnswer: -7728","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -2 (b) -4\/3 (c) 1\/2 (d) 12215\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = -2*n - 3. Suppose -2*l + 4*l = 10. Suppose -20 = -l*b + b. Put n, b, -5 in ascending order.\nAnswer: -5, n, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 2*o**3 - o**2 - 2. Let d(t) = 2*t**3 - 4 + t**3 - 5*t - t**2 + 5*t. Calculate 3*d(p) - 5*y(p).\nAnswer: -p**3 + 2*p**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -48 + -21 + 7 + -7 + 3?\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cc when two letters picked without replacement from {c: 9, d: 10}?\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 1 j when two letters picked without replacement from jjxjjxxjjxxj?\nAnswer: 35\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a kilogram in grams?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -8 + -d2cb3?\nAnswer: -d2cbb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 60, 102, 136, 132, 60, -110, -408?\nAnswer: -864","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000449737 rounded to 7 decimal places?\nAnswer: 0.000045","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*z - 13*z = 20. Suppose -8\/3*u + 26\/9*u**2 + 2\/9*u**z + 8\/9 - 4\/3*u**3 = 0. Calculate u.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 13, 14, 25, 52, 101, 178, 289?\n\"Answer: q**3 - q**2 - 3*q + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 517*v - 19456 = 68*v - 159*v for v.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -48199570 by 7235.\nAnswer: -6662","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-10)\/(-125) - 11682\/(-225)?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o = -2*x + 7, 5*x + 38 = -4*o - 2 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 15*d - 73. Let t be p(9). Let q = t - 59. Calculate the remainder when 28 is divided by q.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 0 + 5 = 0. Let b(x) = -x**3 - 4*x**2 - 5*x - 5. Let u be b(-5). Suppose 3*l + u = 2*o, -2*o - l = 2*l - 15. Solve -2*g + f*g = -o for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 394567.\nAnswer: 229, 1723","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 29 - -59. Calculate the remainder when k is divided by 24.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y = -2*y + q + 1, 3*q = -3 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zzzi when four letters picked without replacement from {i: 2, c: 1, r: 11, z: 5}.\nAnswer: 5\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -16 + 29. Suppose 4*v = -17 + 61. Suppose 45 = 3*r - 2*z, -4*r = 5*z - v - 26. Calculate the greatest common divisor of y and r.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 62.38 + -791.15.\nAnswer: -728.77","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 9\/(-1 - (-10)\/15). Is ((-3474)\/w)\/((-84)\/45 - -2) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20142439091*v + 62*v**3 - 3 - 1 - 20142439091*v + 1.\nAnswer: 62*v**3 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 2 - 6)*(4 + 3*g - 4)*(3*g - 6*g + g).\nAnswer: 18*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 0*q - 9*q + 24*q.\nAnswer: 15*q + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 436590 a multiple of 110?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -291*z**4 + z**2 + 7*z.\nAnswer: -6984*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + -1 - (-9 - 16 - -42)?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 2596*d**2 + 627 - 2592*d**2 - 87 as m + b*d**2 + w*d and give m.\nAnswer: 540","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -354*f**2*y - 7*f*y - 37*y wrt f?\nAnswer: -708*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express o**2 - 22*o + o**4 - 2 - 2*o**3 + 2*o**2 + 22*o as t*o + y*o**3 + i*o**2 + z + b*o**4 and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g + 15 = 2*g. Let v be ((-9)\/7 - -1) + 0. What is the second biggest value in g, v, 0.3?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*u + 4*u - 2*l + 126, 3*l = 2*u - 126. Suppose -5*z - 3*f + 171 = 0, 0*f = 2*z + 3*f - u. Calculate the lowest common multiple of z and 16.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 6004 and 5548.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 7873?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 205 or 204?\nAnswer: 204","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 142 + -148. Let w(d) = 18*d**3 + 26*d**2 + 26*d + 26. Let s(r) = 2*r**3 + 3*r**2 + 3*r + 3. Calculate k*w(o) + 52*s(o).\nAnswer: -4*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 134*b - 99*b = 0 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33 = -5*p + 277. Let b = p + -34. What is the remainder when b is divided by 15?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 43\/22616511 and -74\/51711?\nAnswer: 248781621","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -19, -73, -163, -289, -451?\nAnswer: -649","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1458189 + 3*a**2 + 1458189.\nAnswer: 3*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 5*y**3 + 42*y**2 - 7*y + 46. Let k(z) = -z**3 - 6*z**2 + z + 1. Give -14*k(x) - 2*t(x).\nAnswer: 4*x**3 - 106","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/((j**10\/j*j)\/j*j)*j)\/j**(-7))\/((j\/((j*j*j**(-12)*j*j)\/j))\/j**13) assuming j is positive.\nAnswer: j**2","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 3*l + 1. Let w(a) = 1. Give -m(b) - 4*w(b).\nAnswer: -3*b - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 17118 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 2 + 7 = 0. Let t be (f*(1 - -1))\/2. Let k(h) = h - 6. Let j be k(9). Put t, 2, j in descending order.\nAnswer: t, j, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + -6 + 0 + (55 + 1 - 8) + -6?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38*d - 41*d - 36 = 0. Does 15 divide (20\/(-4))\/(2\/d)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2876?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -36663.6 + 36665.6. Suppose -3*u - 14 = 4. What is the nearest to -1 in 1, 0, w, u?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -239\/730 - -2\/73. Which is bigger: -1 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 80784 to the power of 1\/6, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -39603 (b) 0 (c) -8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2*b**2 + 813*b - 1135946?\nAnswer: -4*b + 813","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/119, 3\/5, 1\/5, 3, 3\/4.\nAnswer: -2\/119, 1\/5, 3\/5, 3\/4, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 61848.\nAnswer: 2, 3, 859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -148 + 2?\nAnswer: -146","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1066221?\nAnswer: 3, 13, 701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 + 5 + 2 + 2 - 3 + 0 + (-2 + 0 + 3)*(-2 + 0 - 2))*(-4 - 2*j + 4)*(j + 0*j - 3*j) in the form u*j + s*j**2 + q and give s.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 109*b + 106*b = -j + 214*b - 4, -9*j - b - 36 = -0*b for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h = -3*x - 24, -2*h = h - x - 16. Let v(y) be the first derivative of -2\/17*y**2 - 11 + 0*y - 3\/34*y**h - 10\/51*y**3. Factor v(c).\nAnswer: -2*c*(c + 1)*(3*c + 2)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -4, 2\/47, 0.1, -5\/4, -17 in ascending order.\nAnswer: -17, -4, -5\/4, 2\/47, 0.1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.7 and 0.0639?\nAnswer: 0.04473","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:11 AM and 5:24 AM?\nAnswer: 253","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -242433 * 0.3\nAnswer: -72729.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 3993337669 to the nearest integer?\nAnswer: 251","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -45 - (-8 + 11 - 19 - (-68 + 35)).\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -2*233*((-6)\/4 + 1). Suppose y = v + 8. What is the greatest common divisor of v and 45?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -4 + 131441014044?\nAnswer: 131441014040","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -130*n + 85*n + 2400 = -64*n - 56*n for n.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -59*u - 2752 - 889 = 430 for u.\nAnswer: -69","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8\/(-30)*(-10)\/12*21.\nAnswer: 14\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3467 and 8?\nAnswer: 27736","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (28 - -1 - 32) + 55 + -8.\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 90 and 216.\nAnswer: 1080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Determine c so that c**4\/6 + 167*c**3 + 252001*c**2\/6 + 83500*c + 125000\/3 = 0.\nAnswer: -500, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 2, h: 9, t: 8}. What is prob of sequence htht?\nAnswer: 14\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -14*x**3 - 54*x**2 + 5*x - 8. Let c(o) = -5*o**3 - 18*o**2 + 2*o - 3. Determine -8*c(s) + 3*r(s).\nAnswer: -2*s**3 - 18*s**2 - s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 - (-15 + 6) - (5 - (-1 - -3) - -3)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2 * -4013644.\nAnswer: 8027288","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7330494 is divided by 57.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*p = 5 + 20 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1)\/3*(-21)\/(-14). Let v = -13 - -12.8. Let x = 7.7 - 8. What is the second biggest value in v, p, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000030409 rounded to six dps?\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in l**2 - 67416500*l - 67416523*l + 134833023*l.\nAnswer: l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 15036298 to the nearest integer?\nAnswer: 3878","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 17102, 15824, 14500, 13106, 11618, 10012?\nAnswer: 8264","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 2691*y - 242270. Determine t(90).\nAnswer: -80","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -117 - 43 - n**2 + 2*n**2 + 29 to x*n + c*n**2 + a and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand x**3 + 2*x**3 - 4*x**3 + (3 + 0 - 1)*(1 + x**3 - 1) - 2*x**3 + 3 - 3.\nAnswer: -x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2988 and 48.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2 + 1. Suppose -4*l - 10 - 10 = 0. Sort 4, l, w in descending order.\nAnswer: 4, w, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 4*(2 + -1)\/(-1). Let a = 4.5 - 4.4. What is the nearest to a in x, 1\/4, 0.3?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = r - 1. Let b(m) = -10*m - 5. Let y = -10566 - -10567. Calculate y*b(n) - 4*h(n).\nAnswer: -14*n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 12949 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4587, -38946, -132211, -313836, -613275, -1059982, -1683411?\nAnswer: -2513016","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = y + 14. What is s(-10)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1159, -4612, -10367, -18424?\nAnswer: -28783","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-184587)\/(-13)*87\/(-1*3). Let n = v + 247771. What is n rounded to the nearest 10000?\nAnswer: -160000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*s + 15, 5*p - 2*p = 3*s + 39. Let g = 298 - 287. Suppose 0 = 4*h - g*h + 35. What is the highest common factor of h and p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 + 75.6690224\nAnswer: 75.5690224","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -213 = -219*z - 196 + 421. Put 4, z, 423, -2 in increasing order.\nAnswer: -2, z, 4, 423","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -1 - -1 - 2 - -13. Let l = 8 - k. Let c = -1 - l. Solve 4*x + c*n + 15 = -9, -2 = n for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h - 19 = f, 13 = -2*f - 4*h - 1. Let n(z) be the first derivative of f - 1\/5*z**5 + 1\/4*z**4 + 0*z**3 + 0*z**2 + 0*z. Factor n(w).\nAnswer: -w**3*(w - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 131\/226944 and 103\/35460.\nAnswer: 1134720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -587 + 586.96. Let r = -86 + 80. Is r less than or equal to w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*m + 8 = -2*m. Let h = 5 - m. Calculate the common denominator of (h\/8)\/(1\/(-51)) and 8\/13.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 5250.32 millennia?\nAnswer: 63003840","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 6*q + 0*q - 3*q + 2*q - 2*q. Suppose -4*m - 5*b = -24, -7*m + 2*m - b = -30. Let p(a) = 6 - m - 3*a. Determine g(p(r)).\nAnswer: -9*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 53, 3, -40.\nAnswer: -40, 3, 53","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (223*c + 4 - 156*c - 217*c)*(c**2 - 2*c**3 - c**2) in the form y*c**3 + i*c**2 + z + g*c + v*c**4 and give y.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (-120)\/15*(-15)\/168?\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -g**4 + 18*g**3 - 92*g**2 + 120*g.\nAnswer: -g*(g - 10)*(g - 6)*(g - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -6cd8 (base 14) in base 5?\nAnswer: -1102011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) be the second derivative of 13*q**5\/20 - q**4\/4 - 13*q**2\/2 - 2566*q. Let o(x) = 7*x**3 - 2*x**2 - 7. What is -4*i(d) + 7*o(d)?\nAnswer: -3*d**3 - 2*d**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -23 + 20 + 8*y - 29. Let j be t(5). Solve 10 = -13*b + j*b for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + 3 + -7 + 7 - 0?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ld when two letters picked without replacement from ncrcrmdl.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n when two letters picked without replacement from nadnaaaatnaanangd.\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.02879 + -0.028792313. What is u rounded to seven dps?\nAnswer: -0.0000023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 35075036 divided by 116.\nAnswer: 302371","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 28 - (10 + (-5 - 6) + 8 - 10).\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 278*t**2 + 115*t - 113. Calculate d(1).\nAnswer: 280","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = r + 3 - r**2 - r**2 + 3*r**2 - 4. Let j(h) = -2*h + 2. Let c(w) = w**2 + 3*w - 3. Let y(a) = 5*c(a) + 6*j(a). Determine -3*u(x) + y(x).\nAnswer: 2*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 0 + (0\/(-2))\/(-4). Let i(x) be the second derivative of q - 1\/7*x**7 - 1\/4*x**3 + 9\/40*x**5 - 1\/4*x**4 + x + 0*x**2 + 1\/5*x**6. Factor i(w).\nAnswer: -3*w*(w - 1)**2*(2*w + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -0*v + 2*v. Let t(a) = -2*a + 2. Let z be t(-6). Let h be (-4)\/z + (-174)\/(-21). Solve 0 = q + h - v for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -57 - -56.73. Let x = h + -0.83. Let c = x + 0.8. What is the closest to -1\/3 in c, 2, 0.5?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(1\/5)*n*n**6\/n)\/(n**(3\/4)\/n*n*n**(-21)))**(-9) assuming n is positive.\nAnswer: n**(-4761\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide 619 by 619.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.42 * -247689.\nAnswer: 351718.38","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -714112, -5713106, -19281804, -45705058, -89267720, -154254642, -244950676, -365640674?\n\"Answer: -714142*c**3 + 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 146 and 15382560.\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1856700623 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 323664 and 2232?\nAnswer: 30100752","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -8, 1, 21.09 in ascending order.\nAnswer: -8, 1, 2, 21.09","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = v - 4*v + 24*v**2 - 86 + 25*v**2 - 46*v**2 - 4*v. Is k(10) a multiple of 48?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (9\/3)\/3 + 4. Let b = 124 - f. Suppose -4*r + b = -73. Does 12 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 133829\/13 - 10283. Which is smaller: i or 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 2 - 30*v - 3*v**3.\nAnswer: -3*v**3 - 30*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -75\/964 and -3\/236.\nAnswer: 56876","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -373*k**3 - 3*k - 3. Let a be c(-1). Let q = 641 - a. What is the lowest common multiple of 14 and q?\nAnswer: 1876","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -b - 8. Let w be (-15)\/21 + (-4)\/14. Let h(v) = 2 - 1 - 2*v + 2 - v**2 - 4. Let l be h(w). Calculate i(l).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, 404, -3, 2, -32 in increasing order.\nAnswer: -32, -3, 2, 7, 404","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -110*h**3 - 155*h**3 - 150*h**3 - 128*h**3 - 142*h**3 + 693*h**3.\nAnswer: 8*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 5\/(-4)*((8 - 14) + 2). Let u(a) be the first derivative of 3*a**3 + 33\/4*a**4 + n - 12*a**2 - 3\/2*a**6 - 12*a + 3\/5*a**5. Let u(q) = 0. Calculate q.\nAnswer: -1, -2\/3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 655, 7241, 13813, 20365, 26891, 33385?\nAnswer: 39841","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -276 + 291. What is the greatest common divisor of k and 120?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 295831 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8897696?\nAnswer: 2, 101, 2753","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/24)\/(-28 - -10 - (-2482)\/136)*-189?\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 2\/3689?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 570*a + 17246 = 1856 for a.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (24 - 21*s - 24)*(42 - 55 - 29)*(0*s - 3*s + s) as a*s**2 + t*s + y and give a.\nAnswer: -1764","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2*(3 + (-16)\/5) + (-102)\/(-120).\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*t + 7341 = 36*t - 5*p, -4*p = 2*t - 3664. Does 34 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 - 7 = 3*f. List the prime factors of -2*2*(-1 + f).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5471*o**2 + 3 + 3*o**3 - 11*o - 5*o**3 + 2958*o**2.\nAnswer: -2*o**3 + 8429*o**2 - 11*o + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 2*b = 10, -5*g - 21 = -3*b - 0*b. Let x = 2 + g. Let y be x\/(-3)*(9 - 3). Sort y, 3, 5 in ascending order.\nAnswer: y, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e and 2 j when four letters picked without replacement from {e: 5, j: 13}.\nAnswer: 13\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 392 and 17836.\nAnswer: 35672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*p + 3*l - 11, 0*p - 5*l = p - 9. Let k be (4 + 0)*2\/4. Suppose 0 = -0*c + p*c + 2*q - 126, -k*q + 2 = 0. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 c when three letters picked without replacement from pcpcpcccpcpcccpsc.\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2305532?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 524*d**2 - 12*d + 2. Let p(m) = -525*m**2 + 10*m - 2. Give 5*l(r) + 6*p(r).\nAnswer: -530*r**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -k**3 - 51. Suppose -4*d + 4*t + 15 - 3 = 0, -2*d = -t - 3. Let w be q(d). Let f be (w\/(-6))\/(1\/2). Calculate the greatest common factor of 17 and f.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 33*c + 3*c + 11*c + (15 - 1 + 4)*(-3*c + c + c).\nAnswer: 29*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -58, 178 in descending order.\nAnswer: 178, -2, -58","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 15*i - 4*i + 0 - 1. Calculate the remainder when 29 is divided by u(1).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 14973995.6 + -14974044.7960919. Let f = a + 2.1962079. Let r = f - -47. What is r rounded to five dps?\nAnswer: 0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -123.2047682 and -226.\nAnswer: -349.2047682","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + w - 512 = 0. Suppose 0*g + 4*g - w = -4*m, 4*g = -2*m + 124. Let n = g - 21. List the prime factors of n.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 53*l**2 + 50*l**2 - 159*l**2 + 55*l**2 + 0*l**2 + 1115*l**3.\nAnswer: 1115*l**3 - l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 50 divided by 6?\nAnswer: 25\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 73 + -115. Let a be b\/18*3\/(-1). Suppose -3*c + 52 - a = 0. Calculate the greatest common divisor of 15 and c.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -15, -14, -3, 24, 73, 150, 261, 412?\n\"Answer: h**3 - h**2 - 3*h - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*k**2 + 2142*k + 1033560.\nAnswer: -3*(k - 1044)*(k + 330)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1180 or -1182?\nAnswer: -1182","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = g**3 + 17*g**2 + 29*g + 1317. Determine l(-19).\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 12 + -4. Suppose -10 = m - 2*m. Suppose -2*t + 14 = w, 3*t = w - t + m. What is the lowest common multiple of z and w?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-15 - 4 + 3)*(-6 - 5*k**3 + 6) in the form u*k + g*k**3 + i + o*k**2 and give g.\nAnswer: 80","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -5 (b) 6.4 (c) -3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + sqrt(300))*6*-1)**2 + 3.\nAnswer: 10803","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ittbaihya. What is prob of sequence tayt?\nAnswer: 1\/756","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 6210?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 3*-1 - 165\/(-5). Suppose 6*g = 3*g + n. Suppose -6 - 4 = -f + 4*u, -4*u = 0. Does f = g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -59, -119, -179, -239?\n\"Answer: -60*v + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-3 - (-16)\/(8\/4)) + -2. Let f be (-4 - -2) + (-8)\/(-2). Let b = t - f. What is the units digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4.88596 centuries to decades.\nAnswer: 48.8596","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (4\/3)\/((-22)\/(-3)). What is the biggest value in 0.2, -0.9, i?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 223 - 3?\nAnswer: 220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 22 and 5786.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 16049 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 737741 at least 737767?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/423? (a) 50 (b) 0.3 (c) 0 (d) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 4595454908?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -24061 - 2?\nAnswer: -24063","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19351 is divided by 921?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -37434*j**4 + 2*j - 16671?\nAnswer: -449208*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 8 times -0.25\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 19*v**3 - 5*v**3 - 9*v**3 + 12*v + 135 - 15*v**2 - 57*v.\nAnswer: 5*(v - 3)**2*(v + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 5, -5, -46, 3 in ascending order.\nAnswer: -46, -5, 3, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 19694?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 - 4 - 4 - -2.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 31*n**4 - 2718*n - 462858.\nAnswer: 124*n**3 - 2718","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -6, -52, -1, -4 in ascending order.\nAnswer: -52, -6, -4, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.2, -5, 1948\/9?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3309 - 19957\/6. Suppose r - 1 = 3*z, 4*z + r + r - 2 = 0. Find the common denominator of ((-6)\/(-4))\/(z - 2) and s.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.4 and -52373.\nAnswer: 20949.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1a7 + -2021b0?\nAnswer: -202007","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c = 3*k + 41892, -37*k - 20968 = -2*c - 30*k. What is the tens digit of c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8.600035t to milligrams.\nAnswer: 8600035000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = u + 8. What is t(-15)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 34 + -32 + -42 + 47.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -1566*k - 142518. Calculate x(-91).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 19024 - 18998. What is the remainder when 2\/4 + (-91)\/(-2) is divided by k?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 111010010101110111010 + -1?\nAnswer: 111010010101110111001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1695 - -1645. Which is the smallest value? (a) n (b) -3 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 6\/27 + (-50)\/(-18). Let x = 11.04 + -0.04. Let g = -16 + x. Which is the third biggest value? (a) g (b) v (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 2055615.53985572 and 4.\nAnswer: 2055619.53985572","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -363 + 326423?\nAnswer: 326030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1058313978?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 not equal to 235\/2222?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 2427061, 2427050, 2427033, 2427010, 2426981?\n\"Answer: -3*x**2 - 2*x + 2427066","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 305 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: Collect the terms in 18*i**3 + 4 + 0 - 4.\nAnswer: 18*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 416?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2670765 is divided by 3910.\nAnswer: 235","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*u**2 - 127185*u - 127190.\nAnswer: 5*(u - 25438)*(u + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -13 - -41\/3. Let s = 4833 - 4838. Suppose 5*v + 3*j = 27 + 5, -2*v + 5*j - 12 = 0. Which is the smallest value? (a) l (b) s (c) -1 (d) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13880.82 seconds in microseconds?\nAnswer: 13880820000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 817 - 382. Let f = q + -351. What is the units digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 219671*c**4 - 402*c - 122.\nAnswer: 2636052*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 = -2*r + 32. What is the common denominator of (-1 - (-193)\/r) + -4 and -46\/7?\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(48) - (0 + sqrt(6912)) - -1*(sqrt(48)*-5 - sqrt(48)) - (3 + (-5 + sqrt(48) + sqrt(48)*1 - (sqrt(480)\/(sqrt(10)*-1) - sqrt(48)))))**2.\nAnswer: -336*sqrt(3) + 21172","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 14*m**5 + 26*m**4 + 694*m.\nAnswer: 280*m**3 + 312*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 15 and 305?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 5 - 32818*n - n**3 + 23*n**2 + 32817*n + 17. Determine y(23).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-260)\/15)\/(-13) - (-4)\/6. Suppose -5*q - 4 = b, -q - 4*b - z = -5. Let u be 43\/(-21) - 8\/28. Are u and q non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-6 - (-1243)\/209)\/((-12)\/24)\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 17.2 in -37, 0.4, 1\/9?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) be the first derivative of 1\/20*a**4 - 4*a + 1\/5*a**3 + 2 + 3\/10*a**2. Let o(z) be the first derivative of h(z). Factor o(y).\nAnswer: 3*(y + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*c**3 + 15*c**3 + 5*c**3 + (-c**2 - 2*c + 2*c)*(-6 - 4*c + 6))*(0*c + 0*c - 5*c).\nAnswer: -85*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find x such that -3*x**4 + 717*x**3 + 1016145*x**2\/4 + 1514457*x\/2 + 2266785\/4 = 0.\nAnswer: -193, -3\/2, 435","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5*w**5 + 2*w**3 + 55*w + 1.\nAnswer: -100*w**3 + 12*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -84 + 4*y + 19 + 4*y - 5*y. Let w be a(23). Let j(d) = -w*d - 12*d + 15*d. Let q(n) = n - 2. What is 3*j(t) + q(t)?\nAnswer: -2*t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.5 and 31.\nAnswer: 15.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out 54917 + 8357098706.\nAnswer: 8357153623","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.2003 + 12.2003. Let j = -7343.999 - -7332. Let y = a + j. Round y to 2 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -4*d. Let v be t(-1). Let b be 12\/(-140) - v\/(-14). Let -b + 3\/5*k**2 - 2\/5*k**3 + 0*k = 0. Calculate k.\nAnswer: -1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 120100427 is divided by 7064731.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -20 > -1361?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p - 21 = 3*c, 315*c + 2*p = 287*c - 170 for c.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 103 = -5*k - 82, -4*q - k = -11. Solve -945*c = -943*c + q for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12*152\/12 - (-1 + 3) a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -181483 (base 15) to base 7.\nAnswer: -12635334","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2*-4 - (-171)\/(-912)*((-6984)\/189 - 6)?\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4\/5*b**2 + 4\/5 + 8\/5*b.\nAnswer: 4*(b + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 6, g: 3, u: 4, b: 1}. What is prob of sequence bg?\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 41681442 to the power of 1\/5, to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-9 - -3) + (-2)\/(-1). Let s be (3 - 4)\/(2\/n). Let r(t) = -1 - t**2 + 1 + t**3 + s*t**3 + 1. Determine r(-1).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 113 divided by -9869?\nAnswer: -113\/9869","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = j**3 - 10*j**2 + 23*j - 10. Let x be s(7). Solve 3*y - b = -y - 21, 0 = -2*y - x*b + 12 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:27 AM and 11:58 AM?\nAnswer: 211","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 2, y: 1, d: 1, e: 1}. Give prob of picking 1 k and 1 y.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 93464789.\nAnswer: 11, 41, 207239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 2, l: 3, j: 5}. Give prob of sequence nn.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 - (-56)\/30 - 2\/(-6)?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 72917017 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -17.3027 times 11.7\nAnswer: -202.44159","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -106090 minus 5.43?\nAnswer: -106095.43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = n - 4. Let w be f(0). Let k = 2017\/13 + -155. Put w, k, -5 in descending order.\nAnswer: k, w, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -122, -117, -112, -107, -102?\nAnswer: -97","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 3*u. Let z(m) be the third derivative of 0*m + 15*m**2 + 0*m**4 + 0 + 0*m**3 + 3\/20*m**5. Determine q(z(j)).\nAnswer: 27*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(45) - sqrt(45)*-2) + sqrt(45))\/sqrt(9)*6 + ((-1*sqrt(20))\/sqrt(4) - sqrt(20)\/sqrt(36)))**2.\nAnswer: 23120\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 115*o + 6. What is g(0)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3.4, -2545, -0.5, 1 in decreasing order.\nAnswer: 3.4, 1, -0.5, -2545","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 0 - 5)*(18*o**3 - 6*o**2 + 13*o**2 - 20*o**3).\nAnswer: 6*o**3 - 21*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) be the first derivative of j**2\/2 + 10*j + 28. Let u be i(-15). Which is the nearest to 0.3? (a) 0.4 (b) 0 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2204 to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-4 + 1)\/(604\/(-296) - -2). Calculate the highest common divisor of f and 111.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -198 + 167*d - 167*d + d**2 - 203 - 203 - 2 + 606.\nAnswer: d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 5 + -17 + 6 - -12\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -4*t + 2. Suppose -4*d - 7 = -p, -3*d + 4*d + 4*p = -6. Let c be z(d). Suppose -5*v + 8 + 7 = 4*g, 12 = 2*g + 4*v. Solve g*h + c = -2*h for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 71 or 50?\nAnswer: 50","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0 (b) 1 (c) 3\/4 (d) 41\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 25474 (base 8) in base 9?\nAnswer: 16157","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -108*q**5*z + 3*q**5 - 2*q**3*z - q**2*z + 9*q**2 + 141*z wrt q.\nAnswer: -6480*q**2*z + 180*q**2 - 12*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -3a - -19?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 15 and 19\/149?\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d = 73739*o - 73740*o + 47, -106 = -o - 14*d + 61 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - 8 = 4. Let x(f) = -f**2 + 16*f + 108. Calculate the lowest common multiple of (1 + -7)*10\/o and x(-5).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u\/((u\/(u\/(u\/((u\/(u*u**(2\/5)))\/u)))*u)\/u))\/u)**(-9\/4)\/((u\/(u\/u**0*u))\/(u**4\/u)))**(-12) assuming u is positive.\nAnswer: u**(-564\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7335 is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -2d74c (base 15) to base 13\nAnswer: -51a62","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/(-35))\/(72\/2142) + -5?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*n + 2*n - 5*n)*(3*n**2 - 3*n**2 + 12*n**3)*(5 - 22 - 22) as g*n**2 + y*n + d*n**3 + t*n**4 + j and give t.\nAnswer: 2340","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 876 and 22?\nAnswer: 9636","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 804 and 18.\nAnswer: 2412","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u - 34 = -34 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1769716?\nAnswer: 2, 13, 34033","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 6851.236ml in litres?\nAnswer: 6.851236","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -105 = 209*p - 230*p. Solve 0 = -p*y + 4*b - b - 15, 3*b = 0 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b = 3*c - 50, 40*c + 14*b - 739 = 37*c for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/1 + -13 - (-236 + 238).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**3\/(v*v**7))**30\/((v**(-1\/2))**(-48)\/((v\/v**(-1\/3))\/((v\/(v*v*v\/v**(-1)*v))\/v))) assuming v is positive.\nAnswer: v**(-503\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.1204978 and 0.2.\nAnswer: -0.02409956","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o + 18 = 2*o. Let p(r) = -r**3 + 5*r**2 + r - 1. Let y be p(5). Let q = o + y. Sort 2, q, 0.\nAnswer: q, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(104)\/(2*sqrt(288) + sqrt(8)) + 4)**2 + 0.\nAnswer: 16*sqrt(13)\/13 + 212\/13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -p**2. Let x(f) = -1. Let g = 5 - 7. Let d(b) = b + 1. Let o(s) = g*d(s) - 2*x(s). Give w(o(z)).\nAnswer: -4*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 255178 + -181560. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor a**3\/4 + 1077026*a**2 + 4639935710597*a\/4 - 4639944326809\/2.\nAnswer: (a - 2)*(a + 2154053)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19 = 2*s + 5*a, -5*a - 40 + 74 = 29 for s.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2491043 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -709.5*-1866.\nAnswer: 1323927","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -11 + -57. Let r = u - -67.9922. What is r rounded to 3 dps?\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -15*w + 3. Let y be t(5). Let i = -63 - y. Is i a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1\/2, 0.1, -0.03, -0.2, 1\/4?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 1 - 4*u**3 + u**3 - 9 + 3 wrt u.\nAnswer: -9*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a, 1 m, and 1 n when three letters picked without replacement from anmnlnhahnh.\nAnswer: 8\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -1493.39 rounded to the nearest 100?\nAnswer: -1500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 8675611787 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s - 3*m = 2, 2*s + 3*s = -5*m. Let p = s - -35. Let y be -13 - -1 - (282 + -327). What is the highest common factor of y and p?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 110*g - 28*g = 1001794. What is the tens digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b + 13 = -2*l + 4*l, -5*b - 4*l + 11 = 0 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 775464 is divided by 155088.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eqof when four letters picked without replacement from {f: 1, z: 2, q: 1, e: 2, o: 6}.\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7596588?\nAnswer: 2, 3, 317, 1997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 83\/1135372 and -79\/224.\nAnswer: 9082976","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.1 (b) 3 (c) 2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2015*l**3*s**2 - 4*l**3 - 20*l**2*s - 4*s wrt s?\nAnswer: -4030*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1508\/290 - 1*2\/10. Let l be (-4)\/18 + (-240)\/(-108). Find the third derivative of 4*f**2 - 5*f**x + l*f**5 + 3*f**5 - 11*f**6 wrt f.\nAnswer: -1320*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 462595, 925170, 1387747, 1850326, 2312907, 2775490, 3238075?\n\"Answer: m**2 + 462572*m + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2862163 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1\/((3 + 0)\/(-27)). Let c = -6 - t. Factor -d**c - d**5 + 5*d**4 - 5*d**2 - 2 + 2 + 4*d**5 - 2*d.\nAnswer: d*(d - 1)*(d + 1)**2*(3*d + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 517 minutes after 1:24 PM?\nAnswer: 10:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 243 + -198. What is the second biggest value in y, -3, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5 - (5 + -9)) + (-1 - 1).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -16 - -19. Suppose 0 = -o + r*o - 20. Solve d + 5 = o for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100000011111100 - 100100010?\nAnswer: -100001000011110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-21)\/28)\/((-11)\/11)*2\/6*-6?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lo when two letters picked without replacement from {g: 3, m: 1, c: 2, l: 3, o: 1, r: 3}.\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 47 divide (-5)\/((-35)\/(-49)) + 1 + (-7568)\/(-8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 51709?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -n**3 + 9*n**2 - 6*n - 11. Let y be u(8). Suppose 5*t - 4*d - 104 = 0, t - 2*d = 2*d + 24. Factor 7 - 32*f**2 + 6*f - y - 8 + 8*f**3 + t*f.\nAnswer: 2*(f - 3)*(2*f - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 58713, 58527, 58329, 58113, 57873, 57603, 57297?\n\"Answer: -r**3 - 179*r + 58893","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -100, 3, -4, 4 in increasing order.\nAnswer: -100, -4, -3, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 69906.62 years in millennia?\nAnswer: 69.90662","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*a - u + 5, -2*a - 2*u = -6*a - 10 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1157 + -3523?\nAnswer: -4681","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.49658 and 12.6.\nAnswer: 12.10342","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 367 = -9*b + 421. Solve b = -5*u + 31 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -10*t**3 + 4*t**2 - 4*t + 2. Let u be q(2). Let n = -352\/5 - u. Which is the third smallest value? (a) n (b) -5 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4.8565 - -0.2125. Let a = h + -0.356. Sort 4, 2, 0.4, a in decreasing order.\nAnswer: 4, 2, 0.4, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -51*o + 295. Give j(7).\nAnswer: -62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.5 + 4.5. Let m = p - 4.9. Let w = m - 0.1. Which is the nearest to -2\/5? (a) 1 (b) w (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 45773*r**3 + 44*r - 29*r**5 - 45773*r**3 + 3*r**2 wrt r?\nAnswer: -580*r**3 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 467626706?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 110 a factor of 53680?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = g. Let p be v(-8). Let f be (1 - -1) + (p - -3). What is the units digit of (-32)\/(-6) - 2\/f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1892 divide 29237383?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -30 + 29. Let a be -2*l\/(2\/11). Let z(r) = r**3 - 11*r**2 + 5*r + 5. What are the prime factors of z(a)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -44*g = -40*g + 4*u - 40, -3*u = 5*g - 44 for g.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2\/3347 + 317969\/6694. Find the common denominator of -95\/16 and y.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 60 + (7 - (-8 - (-9 - 2)) - (5 - 8))?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2192*d + 2198*d + 5*r = -32, 5*d - r + 37 = 0 for d.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*j + 2*j - j**3 + 63230 + 2*j + 19196.\nAnswer: -j**3 + 82426","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1380 = 6*w + 24*w. Suppose 8 = 4*a - 2*q, -4*q = 4*a - q + 2. Put w, a, -1 in ascending order.\nAnswer: w, -1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*m + 3*a + 2*a + 29, 4*a = 2*m - 20. Suppose 0*q - q = -4*z + 5, 4*z = m. Find the common denominator of (-50)\/q + (-25)\/(-50) and -3\/2.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p - 19*p = 0 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) be the second derivative of 0*h**2 + 0*h**3 + 61 - 29\/20*h**5 + 1\/21*h**7 + h + 23\/6*h**4 + 0*h**6. Find the third derivative of x(j) wrt j.\nAnswer: 120*j**2 - 174","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 47879051, 47879050, 47879049, 47879048, 47879047, 47879046?\n\"Answer: -b + 47879052","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 179 - 41 = -d, 4 = 2*d. Let a be 6\/(-4)*(1 + z\/(-25)). Factor 3\/5 - a*h**3 - 3\/5*h**2 + 3\/5*h.\nAnswer: -3*(h - 1)*(h + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/(-24))\/(5*(-1)\/(-15))?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4*4\/((-24)\/(-6))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 9906426?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((126\/(-6))\/7)\/(7\/1).\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 14*d + 1)*(-29 - 28 + 48) to h + q*d and give q.\nAnswer: -126","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*l + 0*l - l + (-2 + 2*l + 2)*(-1 - 2 + 4) - 4*l + 2*l + 3*l + 0*l + 2*l - 3*l)*(-2153 + 46*l + 2153).\nAnswer: 138*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*k - 4*k + 0*k)*((-6 + 2 + 2)*(-3 + 4 - 4) + 6 - 3 - 1).\nAnswer: -8*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8406 is divided by 32?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 82*b**2*q + 14*b*q**3 - 3*b*q**2 + 3*q**3 + 280*q + 25 wrt b?\nAnswer: 164*b*q + 14*q**3 - 3*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 2\/(-5)*2*(-35)\/168\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 208 and 112?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2228818858?\nAnswer: 2, 7, 53, 97, 173, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 42, 7, -4, 2, -5.\nAnswer: -5, -4, 2, 7, 42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 27. Let j(b) = 6452*b + 26. Determine j(w) - s(w).\nAnswer: 6452*w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:53 AM and 12:54 PM?\nAnswer: 181","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23923446 is divided by 355.\nAnswer: 351","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) be the third derivative of -7*g**5\/20 - 53*g**4\/2 - 30*g**3 - 32*g**2 - 1. Let r(l) = 0. What is l?\nAnswer: -30, -2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 (base 10) to base 14\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1 + 2. Let o = -1.4 - -2.93. Let d = -1.63 + o. Which is the closest to h? (a) -4\/9 (b) 0.5 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 4*o + 39. Let r be l(-10). Which is greater: 2\/141 or r?\nAnswer: 2\/141","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 343185677 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 86*s**2 + 3336*s - 89262.\nAnswer: 2*(s + 57)*(43*s - 783)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3636 and 73548.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (1\/2)\/(1\/2). Let c(a) = 8*a**2 - 6. Let i(t) = 1721*t**2 - 1 + 1722*t**2 - 3442*t**2. What is m*c(k) - 6*i(k)?\nAnswer: 2*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y = y - 3*x + 10, y + 14 = 4*x. Let s(b) = -12*b**2 + 11*b - 10. Let i(w) = 5*w**2 - 4*w + 4. Let p(d) = -5*i(d) - 2*s(d). Calculate p(y).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -18.9 in -1\/9, -3\/8, 1.7, -2\/7, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 88 and 296252?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:10 AM and 6:18 PM?\nAnswer: 488","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*o + 5*o + 60. Suppose -4*k = k - o. Let g(q) be the third derivative of q**5\/60 - 5*q**4\/24 - 5*q**3\/6 + q**2. Give g(k).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) be the third derivative of 5\/6*y**3 + 0 - 3*y**2 + 0*y - 1\/24*y**4. Let l be o(8). What is the third biggest value in l, 0.1, 4?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.21 + -0.11. Let h = -574306\/21 - -27348. What is the nearest to q in 4.8, 0, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(70) - (sqrt(70) - 4*-1*sqrt(70))) + -6*(2*sqrt(70) + sqrt(70)) + sqrt(70))\/(sqrt(160) - -1*sqrt(160)*3).\nAnswer: -21*sqrt(7)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 596571904.\nAnswer: 2, 131, 17789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.737 - 0.72811. Round l to 3 decimal places.\nAnswer: 0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 268*x**2 + 1. Let c(i) = 79*i + 4667. Determine c(o(p)).\nAnswer: 21172*p**2 + 4746","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*b**4 + 26 - 23 + b**4)*(-2 + 2 + 2*b).\nAnswer: -2*b**5 + 6*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1\/2, -0.05, 0.3, 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1284.087 centimeters in nanometers?\nAnswer: 12840870000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -79 - -110. Suppose 31 = 4*f + 5*x, -5*x - 4 + z = 3*f. Solve -5*q = f*y + 4, -4*q + y = 2*y + 12 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -110 greater than -7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -1464076643 rounded to the nearest 10000?\nAnswer: -1464080000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 17\/39710 and -89\/1883698.\nAnswer: 103603390","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in n + 180*n - 49*n + 91*n.\nAnswer: 223*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -14? (a) -1\/22 (b) 3\/2 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1 - 2 - 425\/(-375). Sort 9, -4, q, 0 in decreasing order.\nAnswer: 9, q, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -47, -111, -231, -413, -663, -987, -1391, -1881?\n\"Answer: -p**3 - 22*p**2 + 9*p - 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by 22129308.\nAnswer: -5\/22129308","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**0)**18\/((s**6\/s)\/((s**(2\/15)\/s)\/s)) assuming s is positive.\nAnswer: s**(-103\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f + 3*c = 4*f - 25, -12*f = -2*f - 5*c - 40 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of 12731?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3059?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 24448?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -u - 2*k + 4, 12*k = 5*u + 7*k - 5. Let v be 0\/(-2)*2\/4. Solve v = 2*h + u for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -95*-12.\nAnswer: 1140","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zj when two letters picked without replacement from {z: 5, p: 9, r: 4, a: 1, j: 1}.\nAnswer: 1\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 65, 222, 3 in descending order.\nAnswer: 222, 65, 3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -71*y - 163*y + 4212 = 0 for y.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ja when two letters picked without replacement from {j: 10, i: 1, a: 4, d: 3}.\nAnswer: 20\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 267065208 to the power of 1\/3, to the nearest integer?\nAnswer: 644","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express 59*u**4 + 0*u**2 + 63*u**4 + 3*u**3 + 19 - 119*u**4 + 2*u**2 + 3 in the form m*u**2 + n*u + a + o*u**3 + p*u**4 and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 454 = 2*s - 4*f, 653 = 3*s - 0*s + f. List the prime factors of s.\nAnswer: 3, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -k**2 - 17454 + 17429 - 18*k - 9*k. Suppose 0 = 5*z - 5*m + 130, 0 = 3*m - 2*m - 5. List the prime factors of t(z).\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -18*d - 506*d**4 + 2787 - 7882 - 9*d - 18*d + 43*d wrt d.\nAnswer: -2024*d**3 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-290)\/(-280)*8 - 4\/14?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 126 + -97. Let c = 95 + w. 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: Which is bigger: -18\/11 or 29?\nAnswer: 29","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.01, 3\/10, 1\/4, -14\/13?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 532 and 19.\nAnswer: 532","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1\/6 (b) -0.08 (c) -38 (d) -15 (e) 2\/11 (f) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -2*o**3 + 15*o**2 - 25*o - 1. What is t(5)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -594, -4930, -16740, -39762, -77734, -134394, -213480, -318730?\n\"Answer: -623*u**3 + u**2 + 22*u + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -g**2 + 10*g + 5. Let v be m(10). Let i be (10 - 9) + (-3)\/v. Let o = -4.92 - 0.08. What is the second biggest value in 0, i, o?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8 + 4)\/(2 - 4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zvobbtjjbbztzjbjzbzb. Give prob of sequence ojvt.\nAnswer: 1\/14535","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = x**2 - 6*x + 2. Suppose 29*a = 33*a - 24. Let z be u(a). Let c(l) = -3*l - z*l + 2*l + 2 + 2*l. Determine c(-6).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 4340\/175*10\/(-4). Round y to the nearest 10.\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1613 - -1610. Let a = 15 + -10. Sort t, a, 0.29, -1 in descending order.\nAnswer: a, 0.29, -1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 118965.2 micrometers in meters?\nAnswer: 0.1189652","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/(q**15\/q))\/(q\/q**(3\/7)))\/((q*q\/q**1)\/(q\/(q*q\/(q**(-12\/5)\/q))*q)) assuming q is positive.\nAnswer: q**(-629\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 19227 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 29026 - -4?\nAnswer: 2902a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 127*p - 891*p - 864*p + 39985 + 26763 for p.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 7*t. Let x(u) = 84*u. Let a(b) = -35*r(b) + 3*x(b). Let g be a(3). Solve 3*q + 5 = 4*v, -q = -5*v + g - 1 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 194238374\/525 - 369978. Find the common denominator of 3\/2450 and t.\nAnswer: 7350","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5 - 2) + 6 + -7 + 3?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2875 divided by -1.\nAnswer: -2875","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 7*v + 3. Calculate the remainder when a(3) is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3212 + -56.932559?\nAnswer: -3268.932559","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -d - 7. Let f be k(-10). Solve 0*x + 11 = -x + f*y, -4*y + 19 = 3*x for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -115, -299, -363, -307?\n\"Answer: 60*k**2 - 364*k + 189","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -71752*f - 71114*f + 142867*f.\nAnswer: f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.4 in -0.1, 2\/11, 0.4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.03, 33.913, 0.2, 0 in ascending order.\nAnswer: -0.03, 0, 0.2, 33.913","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 97142?\nAnswer: 2, 48571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (11\/11)\/(2\/4).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 116982 and 576?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 69*k - 3. Let r(l) = l + 5. Let v(p) = 2*p. Let o be v(-2). Let h be r(o). List the prime factors of b(h).\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = k. Let t(x) = x. Let f be (1 - (6 + 0))\/1. Let m(l) = 4*l. Let z(s) = f*t(s) + m(s). What is z(p(n))?\nAnswer: -n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 6245628.05506061 take away 0.1?\nAnswer: 6245627.95506061","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 919 divide 1437614893?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -622.3 rounded to the nearest one hundred?\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 3003988904 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 97 minutes after 10:39 PM?\nAnswer: 12:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 32\/352*(-22)\/(-12)?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t*t\/(t\/(t\/t**(-2\/7)))*t)**(2\/3)\/(t*t**(-2\/3)*t)**(-3))**13)**28 assuming t is positive.\nAnswer: t**(6760\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in twenty-six sevenths of a week?\nAnswer: 624","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -6.92829 rounded to 1 decimal place?\nAnswer: -6.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -5836500 rounded to the nearest 1000000?\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gxmg when four letters picked without replacement from gmgxmmxwmgmgm.\nAnswer: 6\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 60*i**2 + 6. Let v be -2*(-1 + 5\/2). Let h be r(v). Let j = -285 + h. What are the prime factors of j?\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*c - 2*a - 16 = 0, a = 5 - 3 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5*y + y + 3*y)*(-1 + 2 + 1 + (0 - 3 + 2)*(0 + 2 + 0) + 0 + 2 + 0) to the form z + h*y and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1174 - 0.3661.\nAnswer: 1173.6339","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = y**3 - 9*y**2 + 7*y + 11. Let d be a(8). Suppose -h + 2*h - 4 = 0, d*n + 2*h - 875 = 0. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 27 = -5*o - 11, -8*r - 3*o - 2 = 0. Solve 0 = l + j - 3, -r*l - 5*j + 15 = 0 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -121 - -8 - (4 + 0). Let w be ((-8)\/24)\/(3\/q). Suppose m + 41 = 5*u, m = 2*u - w - 4. What is the units digit of u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2532)\/(-27) + 4\/18. List the prime factors of 4\/(-4) + 4 + x + 4.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 - (-11 + 11)) + -4?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:03 PM and 2:10 PM?\nAnswer: 127","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 67557 to the power of 1\/2, to the nearest integer?\nAnswer: 260","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -2 (b) 172 (c) -3821 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 438041 + 5?\nAnswer: 438046","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*u**2 - u**2 + 5*u**2)*(-2 + 2 - u) + 11*u**3 - 3*u**3 - 3*u**3 in the form x*u**2 + w*u + j*u**3 + m and give j.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1)\/(-1)*(3 + -2). Is -7*n\/(-4)*5996 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 214223441 - -1213?\nAnswer: 214230204","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (96*n**2 + 94*n**2 - 227*n**2)*(-2 - 5 + 2).\nAnswer: 185*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 165\/(-60)*(-4)\/1. Let y(i) = -9*i + 4. Let o(a) = 5*a - 2. Give j*o(g) + 6*y(g).\nAnswer: g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.2 - 0.14. Let t = -3.94 - w. Which is bigger: 1 or t?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*r - 13809 = r - f, 4*r - 2*f = 11036. What are the prime factors of r?\nAnswer: 11, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 0 + 2)*(0 + 3 - 2)*(s**2 + 0*s + 0*s).\nAnswer: -s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 82a55 - 2?\nAnswer: 82a53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*v**4 - 80*v**3 + 65*v**2 + 150*v.\nAnswer: 5*v*(v - 15)*(v - 2)*(v + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) be the first derivative of k**3\/3 + 2*k**2 - 7*k - 32. Let h(a) = a + 1. Let g(j) = j**3 - 7*j**2 - j + 1. Let n be g(7). Let x be h(n). What is f(x)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ne when two letters picked without replacement from {e: 1, u: 2, l: 1, n: 1, d: 1, a: 2}.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1615 a factor of 83154484?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -6*n - 13. Let q(h) = -3*h - 6. What is -9*q(m) + 4*v(m)?\nAnswer: 3*m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 353004?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -31bb (base 12) to base 2.\nAnswer: -1010101011111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 117487069*c + 181590992 wrt c.\nAnswer: 117487069","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 66827587.\nAnswer: 37, 1806151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*l - c - 11, -4*l = c + 6 - 19. Suppose 2*v = -l*b + 41 + 33, 4*v = -2*b + 124. Let d = v - -4. Does 11 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -2*a**3 - 323*a**2 - 793*a - 98. Determine o(-159).\nAnswer: -416","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 3 + -b38?\nAnswer: -b35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 8203*d - 8262*d + 413 for d.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1572 is divided by 176.\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -35*(-11)\/77*(-32*(-12)\/190 - 2).\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 2*v = -219. Let h = 103 - v. What is the units digit of h?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -45*n - 279. What is the tens digit of q(-22)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 308 + -145. Let x = z + -81. Suppose -4*l + 198 = -x. What is the units digit of l?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 f when three letters picked without replacement from fooffffo.\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 3*g - 18 = 0, -4*r + 2*g = -6*r - 28. Let a be 1*-1 - 30\/r. What is the tens digit of a\/3 - (-436)\/12?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:36 PM and 6:07 AM?\nAnswer: 691","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5 - 14. Let b = d - -57. Calculate the remainder when b is divided by 20.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 958.27419 to the nearest one hundred.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 4975, 40201, 135811, 321997, 628951, 1086865?\n\"Answer: 5032*m**3 + 2*m - 59","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 19636048 by 4.\nAnswer: 4909012","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 117 minutes after 6:51 PM?\nAnswer: 8:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + ((1*sqrt(72)*2 - sqrt(72))\/sqrt(6))\/(sqrt(864) + (sqrt(150)*-1 - sqrt(150)) + sqrt(6)) + 5.\nAnswer: sqrt(2)\/3 + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 7674744?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 1, 1\/3, 3829\/6, -1\/2?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2418 and 31870046.\nAnswer: 806","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven tenths of a millisecond in microseconds?\nAnswer: 1100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*j - 10*j + 38*j + 4*j - 13*j.\nAnswer: 17*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 2*l**2. Let k(s) = 45354328*s. Calculate k(c(a)).\nAnswer: 90708656*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4947 is divided by 2599?\nAnswer: 2348","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*q = 2*q - 5*l - 23, 13 = 4*q + l for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 4652 and 18608.\nAnswer: 18608","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = 4*n - 5*w, -3*w + 15 = 9 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -186, -166, -146, -126, -106, -86?\n\"Answer: 20*y - 206","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*l**3 + 5*l**3 - 4*l**3 + (-2*l + 4*l + 0*l)*(0*l**2 + l**2 + l**2).\nAnswer: 11*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 587979 divided by -1281.\nAnswer: -459","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-12)\/(-45))\/((-18)\/120*4)?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qkqq when four letters picked without replacement from {q: 9, k: 11}?\nAnswer: 77\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w**(-10\/7)\/w**(-5\/3))**(-3\/11))**(-3\/10))**(-1\/73) assuming w is positive.\nAnswer: w**(-3\/11242)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1\/4, -13, 856?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 + 14 = 2*z. Let w = 11 - z. Suppose -u + 0*u = w*a - 4, u - 6 = -3*a. Calculate the lowest common multiple of 46 and a.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6031 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:34 AM and 1:04 PM?\nAnswer: 630","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2 - -3. Let r = -1 + -2. Let q = -1 + r. What is the closest to 0 in q, z, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 133293.1 centuries to years.\nAnswer: 13329310","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4 - 78\/(-19)) + 88\/(-114)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 2 g when three letters picked without replacement from igigkiiy?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 21215739?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 46 - 50. Suppose 33*x + 72 + 27 = 0. Let z = -4 + 2. Put 2, g, z, x in increasing order.\nAnswer: g, x, z, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) be the first derivative of -5*c**4\/4 - c**2\/2 - c + 8. Let j be b(-1). Solve -j*r = 2*k + k - 40, 2*k = 2*r for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-21)\/(-66)*(-992)\/868)\/(30\/(-5))\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*sqrt(84) + sqrt(84))*2)\/(sqrt(60)\/sqrt(320)).\nAnswer: -48*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3 + 1. What is the smallest value in 2\/3, -0.5, t?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -53 = -3*f - 3*s + 1, -4*s = 2*f - 26. Solve 0 = -2*j - 5*h - f, 4*j - 6*h + 4 = -2*h for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -3*w**5 - 5*w**3 - 5*w**2 + 2*w + 5. Let o(p) = -p**5 - p**3 - p**2 + 1. Let u(m) = 5*o(m) - q(m). What is the second derivative of u(r) wrt r?\nAnswer: -40*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - j = -3 - 3, 3 = j. Suppose d + 0*d + 5 = 0. Let q = -132 + 136. Sort d, g, q.\nAnswer: d, g, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -29637 + 29633. Which is smaller: -1389 or l?\nAnswer: -1389","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -336*q + 331114 = 25*q - 14724. Solve 858 = -20*f + q for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tqq when three letters picked without replacement from {q: 4, t: 7}.\nAnswer: 14\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.32 * 17685.\nAnswer: 5659.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 482 minutes before 6:59 PM?\nAnswer: 10:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:58 AM and 1:44 PM?\nAnswer: 706","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 30 + y**2 - 11 + 3*y**3 - 13 + y**3 to m*y + q*y**2 + o + f*y**3 and give f.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(-7)*k\/k**(-2\/15)*(k*k**(-1\/2)*k)\/(((k**8*k)\/k)\/k) assuming k is positive.\nAnswer: k**(-341\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 5035697 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 3*r + 60. Let q(b) = b - 1. Give -a(v) + 4*q(v).\nAnswer: v - 64","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = t**3 + 11*t**2 + 4*t - 23. Let c be z(-10). Calculate the highest common factor of c and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 1, w: 1, v: 7, e: 3}. What is prob of sequence vwm?\nAnswer: 7\/1320","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*s**3 + 636*s + 358*s + 753*s + 0*s**3.\nAnswer: 2*s**3 + 1747*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 13 = -3*l + 3*m, l - m - 7 = 0. Suppose -3*j + 7*s - 2*s - 10 = 0, -5*j - 2*s = -35. What is the remainder when l is divided by j?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -652435968 divided by -1874816\nAnswer: 348","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4 * -10.5.\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - 3*r - 16 = r, -3*n - 46 = -5*r. Let p(v) = -v**3 + 12*v**2 - 12*v + 6. Let h be p(11). Let t be (-508)\/n - h\/(-15). Which is greater: t or 41?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1352232425 - -1?\nAnswer: 1352232426","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-5*y + y + y)*(-3 + 1 + 0) - 3 + y + 3 + 0*y - 2*y + y)*(0*y + 0*y + y**3)*(4*y + 3*y - 2 - 1).\nAnswer: 42*y**5 - 18*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -1\/2 (b) 7 (c) 1 (d) -2 (e) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*o - 14 = 22 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) be the second derivative of v**6\/280 + 3*v**5\/70 + v**4\/7 - v**2 - 15*v + 2. Let z(k) be the first derivative of m(k). Factor z(f).\nAnswer: 3*f*(f + 2)*(f + 4)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 358156859 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1473 * -68876.\nAnswer: -101454348","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 1, f: 1, e: 1, t: 1, u: 2, x: 1}. What is prob of picking 1 e and 1 f?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 7654 (base 9) to base 11\nAnswer: 4266","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 + 28 = 6*q for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:35 PM and 2:03 AM?\nAnswer: 448","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 763 + -3011\/4. Let c = -30990 - -382811\/12. Let z = c - 914. Calculate the common denominator of p and z.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) be the first derivative of -s**5\/10 - s**4\/4 + s**2\/2 + s\/2 + 4. Factor p(x).\nAnswer: -(x - 1)*(x + 1)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 6.5791 to one dp.\nAnswer: 6.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express 4 - 16*h + 1 - 4 + 5*h in the form d + m*h and give m.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -148*b*m + 12*b - 282*m - 1 wrt b?\nAnswer: -148*m + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) be the third derivative of 11*g**6\/30 + g**5\/30 + 3*g**4\/8 - 7715*g**3\/6 - 2*g**2 + 901*g - 1. Differentiate n(m) with respect to m.\nAnswer: 132*m**2 + 4*m + 9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -47, -2\/3, 114\/11, 0.4, 2 in decreasing order.\nAnswer: 114\/11, 2, 0.4, -2\/3, -47","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3663 + 5772. List the prime factors of i.\nAnswer: 3, 19, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -2653473, -5307088, -7960701, -10614312, -13267921, -15921528, -18575133?\n\"Answer: k**2 - 2653618*k + 144","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -130 - -3?\nAnswer: -127","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m**5\/5 + 6*m**4 + 54*m**3\/5 - 286*m**2\/5 - 162*m\/5 + 144\/5 = 0 for m.\nAnswer: -3, -1, 1\/2, 3, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 37284 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k + 5*x - 50 = 2*k - 34 + 6, k + 3*x = 2*k + 8 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-8)\/6 - (-2)\/(-3). Suppose 30*g = 39*g + 27. Put 0, s, g in increasing order.\nAnswer: g, s, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.4616068 rounded to 1 decimal place?\nAnswer: 1.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1360 is divided by 91?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000002263 rounded to seven decimal places?\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -2*w**3 + 23*w**2 - 3*w - 5. Let h(d) = d + 2 - 12*d**2 - 32943*d**3 + 16481*d**3 + 16463*d**3. Calculate -5*h(l) - 2*m(l).\nAnswer: -l**3 + 14*l**2 + l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 9, s: 3, c: 2, o: 2}. Give prob of sequence msmo.\nAnswer: 9\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -486, -679, -942, -1275, -1678?\n\"Answer: -35*s**2 - 88*s - 363","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = z**3 + z**2 + z - 1. Give b(-2).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -d + 31. Let c be k(13). Suppose -303 + 31 = -16*w. Which is greater: w or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*b - 392 + 80. Calculate the common denominator of (-6)\/(-25)*-1*15 and (b\/(-60))\/((-3)\/(-10)).\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in fourty-five halves of a gram?\nAnswer: 22500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 64 less than or equal to 65?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 14 - 21. Let w(y) = 4 + 0*y + y**2 + 7*y + 1. Let g be w(d). Let h(u) = -u**3 + 4*u**2 + 6*u - 1. What is h(g)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 3 + 4)*(3 + 9 + 1)*(-5*w + w + 3*w).\nAnswer: -13*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (11 - (-62 + 10))*(44\/(-11) - -5).\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 93 - (-6 - (-1 + -16 - (106 - 111))).\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (58\/464)\/((-9)\/(-16)*8\/(-6)).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 11649.15 weeks in hours?\nAnswer: 1957057.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2568 is divided by 620.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 2*w - 5*b + 2 = 0, -3*b = -5*w + 26. Solve -4*l + 16 = w*v, 2*v + 1 = 3*v for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve g**5\/7 + 55572*g**4\/7 + 166709*g**3\/7 + 111138*g**2\/7 = 0.\nAnswer: -55569, -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -18*o - 14. Let q be a(-1). Solve -5*n + g = -1 - 13, -n + q*g - 1 = 0 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 4, 1\/28, 0.3?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 403*m**3 - 839*m**2.\nAnswer: 2418","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 975*s**5 + s**2 - 464 wrt s?\nAnswer: 58500*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -436.9886 - 0.0114. Let z = c - -21. Let u = 416.197 + z. What is u rounded to 2 decimal places?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qjj when three letters picked without replacement from {h: 1, y: 3, j: 2, v: 3, q: 1}.\nAnswer: 1\/360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 15286?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-3)\/(-6) + 14\/4 + -4. Does 38 divide -33*(-1 + (z - 4))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -f - 10*f**2 - 8*f**2 + 17*f**2 - f**3. Give v(-2).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*(j*j**(-17))\/j*j\/(((j*j**(-1\/19))\/j*j)\/j))**35 assuming j is positive.\nAnswer: j**(-9940\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1242 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1 (b) 32 (c) -11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 986535 = 24*k - 1076793. List the prime factors of k.\nAnswer: 2, 21493","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(-47)*v)\/v)\/(v*v*(v\/v**(-16\/11))\/v) assuming v is positive.\nAnswer: v**(-555\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1501*g + 513*g = -757*g + 4158 for g.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = 6 - 2. Let m be (-7)\/f*12\/21. Suppose 5*d = -3*w + 9, -1 + 7 = m*w + 5*d. What is the units digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:41 PM and 8:18 PM?\nAnswer: 457","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) be the third derivative of -1\/105*o**5 - 3*o**2 + 1\/84*o**4 + 0 + 0*o + 1\/420*o**6 + 0*o**3. Let u(r) = 0. Calculate r.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*u + 20*u - 16*u + 20*u.\nAnswer: 29*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*r = -4*t + 150, -835*t + 836*t + 90 = -3*r for r.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -3522 + -16?\nAnswer: -3541","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 15) in base 9?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3.473 - -3.81. What is i rounded to two dps?\nAnswer: 0.34","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 5*w + 13. What are the prime factors of f(6)?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*d - 3*d + 3*d + (2*d - 2*d - d)*(3 - 3 - 1) - 1 + 1 - 2*d - 212*d + 7796 - 7796.\nAnswer: -210*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-20 - -20) + (1 - (-5)\/1). Let n = m - 16. Let u(s) = s**2 + 7*s. What is the smallest common multiple of 9 and u(n)?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 2, o: 11}. What is prob of sequence omo?\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3\/5 + 144\/5*q + 1728\/5*q**2.\nAnswer: 3*(24*q + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/3 not equal to 14211581?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-5)\/(70\/42))\/(51*(-7)\/21).\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) be the third derivative of 3*o**2 + 0*o**3 + 0*o + 1\/12*o**4 + 0. Let m(k) = 5*k**2. Give b(m(z)).\nAnswer: 10*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1035828 a multiple of 36?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60 = 64*k - 141*k + 67*k. Which is smaller: 156\/23 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-169)\/(733460\/(-775))*3\/(30\/4).\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 9860*l**2*p - 164513163*l**2 + 2*l + 25105*p**4 wrt p?\nAnswer: 9860*l**2 + 100420*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -2b97 + -29?\nAnswer: -2bc3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.09? (a) -0.2 (b) 3877 (c) 0.4 (d) -70\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000699232469 rounded to 7 dps?\nAnswer: -0.0006992","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 97468?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/(-14))\/((-68)\/357)*(-40)\/12?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*r + 2324 = 824. Let x = -175 + r. Let z = x + 58. What is the greatest common divisor of z and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 187\/135? (a) -5 (b) 4 (c) -82 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 164704?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18 + 293 = 61*o - 152 for o.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 644 divided by 4\nAnswer: 161","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 2*s**3 - 3 + 4 + 11*s**2 + s + 7*s - s**3. What is the remainder when 83 is divided by l(-10)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -6*m + 22. Solve -5*k + n + n + 15 = 0, m*k - 30 = -4*n for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 + 1 - 2)*(4 - 6 - 5)*(-3*j - 5*j + j) as g + l*j and give l.\nAnswer: -245","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 15875 and 3922375.\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -14*b**2 + 133 - 66 - 67. Let p(q) = -q. What is p(y(t))?\nAnswer: 14*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 918.000000393 - 918. What is j rounded to 7 decimal places?\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*i**4 - 1 + 1958*i**2 + i**3 - 1956*i**2 + 5 in the form v + l*i**4 + x*i**2 + b*i**3 + k*i and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 > 242\/217?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -4179 divided by -3904?\nAnswer: 4179\/3904","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h**4\/6 - 20*h**3 + 45*h**2 + 180*h - 945\/2 = 0. Calculate h.\nAnswer: -3, 3, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, -5\/33, 10\/9, 0.383, 2\/3, -4 in decreasing order.\nAnswer: 7, 10\/9, 2\/3, 0.383, -5\/33, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -18, 2, -1, 0.2, 0 in ascending order.\nAnswer: -18, -1, 0, 0.2, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 508407 is divided by 718.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4594 + 4900 - 14393 - 2*x + 4899.\nAnswer: -2*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 19 and 137\/1020?\nAnswer: 1020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 3, s: 1}. Give prob of sequence rs.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -162 + 50 + 8*t - 3*t**2 + 2*t + 48 + 58 as s*t**2 + p + b*t and give b.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -8913*t - 71301. Calculate a(-8).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put together 1244.1 and -5.\nAnswer: 1239.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 61\/(91805\/64801) + -43.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1516 + 1520. Which is the closest to -1.4? (a) -5\/7 (b) -2\/9 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -7*p - 10. What are the prime factors of u(-11)?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4 or 0.0111339?\nAnswer: 0.0111339","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 385\/165 - 26\/15?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*u = -u + 45. Let s be ((-4)\/(-4)*u)\/(-1). Suppose -1 = 3*g - 5*t + 8, 0 = 3*g - 2*t. Solve -s - 5 = 3*q - g*k, 0 = 5*q - 4*k + 26 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 - -13 - 13 - (6 + -1)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2\/9 (b) 0 (c) -2\/5 (d) -1\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 16.708 * -0.05.\nAnswer: -0.8354","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/4, 1\/8, 0.2, -3 in increasing order.\nAnswer: -3, -3\/4, 1\/8, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -12*k**4 + 2*k**2 - 145*k**3 - 6*k**4 - 6*k**4 + 67*k**3 + 71*k**3 to b*k**3 + m*k**2 + z*k + o*k**4 + h and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Is 5536711 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -54*g**3 - 6*g**2 + 6*g - 14. Let c be i(4). What is the common denominator of 32\/3 and (-3)\/(-80 - -2)*c\/(-69)?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (4 + -4)\/(-7 - -4 - -2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 47a858 + -12b?\nAnswer: 47a729","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1554)\/(-2886))\/(2\/(-13)).\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2359.\nAnswer: 7, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -b**2 - 14*b - 11. Let x be r(-13). Solve 0 = x*n - 3 - 5 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -50901696 divided by -432\nAnswer: 117828","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5587 + -100541\/18. Let i = -56857\/6 - -9537. Let t = 2941\/48 - i. Find the common denominator of w and t.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*a**2\/7 + 9426*a\/7 + 38040.\nAnswer: -3*(a - 3170)*(a + 28)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36*w + 18366 = -14106. Let i = w - 892. Solve -5*t = -t - 2*j - i, -7 = -4*t + 3*j for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -85, -53, -23, 5, 31, 55?\n\"Answer: -b**2 + 35*b - 119","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vv when two letters picked without replacement from {v: 4, b: 16}.\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yzy when three letters picked without replacement from {r: 1, y: 2, m: 1, z: 2, d: 1}?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 636 minutes before 10:29 AM?\nAnswer: 11:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -73*s - 3. Suppose f = -3 + 1. Let b be t(f). What is the highest common factor of b and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -11*p**3 - 11*p + 11. What is the tens digit of k(-4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = -5*h - 0*q + 9, -5*h - 5*q + 15 = 0. Suppose h*z - 31 = 5. Calculate the remainder when 2 - -1 - (0 - 49) is divided by z.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) be the first derivative of s**5 + s**4\/4 + 227*s**3\/3 - 148. What is the third derivative of h(j) wrt j?\nAnswer: 120*j + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -19*f**3*i**4 - 127886*f**3 - 20517*i**4 + 25 wrt i.\nAnswer: -76*f**3*i**3 - 82068*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 94, 367, 830, 1489, 2350, 3419?\nAnswer: 4702","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -n. Let y(p) = 185030*p + 2. What is y(t(s))?\nAnswer: -185030*s + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1 + 1. Suppose 0 = -o*j - j + 21. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.3*2.2\nAnswer: -0.66","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*g - 33 + 111 = 0 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j - 4*s - 300 = 0, 109*j - 108*j + 5*s + 100 = 0. Let w(p) = -p - 2. Let n be w(2). Is ((-134)\/n)\/((-10)\/j) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a - l = -0*l - 90, -2*l = 4. Suppose 3*b - b = -2*d - 6, 5*b = -d - a. Let w(o) = 3*o - 3. Give w(d).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -88*w**5 + 124*w**4 - 149*w**2 + w - 15.\nAnswer: -5280*w**2 + 2976*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 8474381 to the power of 1\/6, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(77)\/((sqrt(88)*-2 - sqrt(88) - sqrt(88))\/sqrt(8)).\nAnswer: -sqrt(7)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 260 minutes before 1:04 AM?\nAnswer: 8:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 32231101 (base 5) to base 4.\nAnswer: 1002313231","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 7561, 7573, 7595, 7627, 7669, 7721?\n\"Answer: 5*s**2 - 3*s + 7559","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of 234075862 and -5.\nAnswer: -1170379310","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) be the first derivative of -k**4\/30 - k**3\/15 - 4*k + 2. Let z(p) be the first derivative of d(p). Factor z(b).\nAnswer: -2*b*(b + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 6.7 - 6.6921. What is p rounded to three dps?\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2168734 is divided by 24.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 0 - (-1 - -1) - 0. Suppose 2*q + 87 = -q. Let n = q + 26. Are c and n nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*w - 4*u + 17, -4*w + 3*w - 1 = u. Let k be w + (-50)\/(-15) + (-3622)\/(-6). Suppose 6*t = 2*t + k. Calculate the remainder when t is divided by 38.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or 57\/4912?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.523 less than -2179217071?\nAnswer: -2179217078.523","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3.6914 - 0.3086. Which is the nearest to 0.111? (a) -2 (b) 4 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -b**3 + 161*b**2 - 167*b + 622. Give j(160).\nAnswer: -498","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - ((-17 - -10) + (14 - 1))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 33054900 to the nearest one million.\nAnswer: 33000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -1776270*c**2 + 143*c + 1. Let h be g(3). What is h rounded to the nearest 100000?\nAnswer: -16000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -23, 0, 1\/3, -2\/3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*l + 748 = 7260. What are the prime factors of l?\nAnswer: 2, 11, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30035 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) be the second derivative of -q**5\/20 - q**4\/3 + 13*q**3\/6 + 9*q**2\/2 - 54*q. Let o be h(-6). Solve 0 = -o*t + 2*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 49089 plus -967?\nAnswer: 48122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 + 20 = 3*l. Suppose -p - 14 = -8*p. Calculate the least common multiple of p and l.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -p**2. Let s(r) = -448*r**2 - 4427*r. Determine s(y(n)).\nAnswer: -448*n**4 + 4427*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (165\/45)\/((-2)\/(-6)).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1331)*2*3 + (sqrt(1331) - -1*sqrt(1331))*1 + sqrt(1331))**2.\nAnswer: 107811","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 0*o = 0. Suppose o*m = -2*m + 92. Suppose -5*z = -3*y + 26, 0*y - 4*y = -z - m. What are the prime factors of y?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -750 + 98*r**2 - 107*r**2 + 750.\nAnswer: -9*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 7*w**2. Let k(m) = 5*m**2 - m - 1. Let y(n) = -4*n - 4. Let s(t) = -4*k(t) + y(t). Determine -17*d(c) - 6*s(c).\nAnswer: c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 10.04 rounded to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j and 2 d when four letters picked without replacement from {d: 5, j: 13}?\nAnswer: 13\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) be the first derivative of -1\/7*r**4 + 2\/35*r**5 + 0*r**3 - 2\/7*r - 2 + 2\/7*r**2. Factor s(p).\nAnswer: 2*(p - 1)**3*(p + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8603*c + 8606*c = 76128. What is the ten thousands digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3108 - -4699. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 17*g**2 - 135*g - 9. Determine y(8).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 12 + 3 = 0. Let a be 42\/y - (-4)\/(3 - 15). Put a, 5, 0, 1 in ascending order.\nAnswer: a, 0, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 20101120 (base 4) to base 16\nAnswer: 8458","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -3*r**5 - 12*r**4 + 3*r**3 + 3*r**2 - 9. Let b(m) = -m**5 - 6*m**4 + m**3 + 2*m**2 - 4. Let p = 43 - 47. Let g(w) = p*z(w) + 9*b(w). Factor g(d).\nAnswer: 3*d**2*(d - 2)*(d - 1)*(d + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -79 + 169. Suppose 4*i - 10 - n = 0. What is the remainder when i is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 40.3 + -40. Let o = 2.57 + -0.17. Let g = -0.4 + o. Is w at most g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 492 minutes after 8:21 AM?\nAnswer: 4:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 977174793 to the power of 1\/5, to the nearest integer?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 378 a factor of 1954155?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -h**2 + 133941*h - 2. Let f(x) = 5*x**2. What is y(f(z))?\nAnswer: -25*z**4 + 669705*z**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 167*h**2 - 34 + 67 + h - 41 to the form g + k*h + d*h**2 and give g.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -3, 2, 0.2, 7, -2\/15827?\nAnswer: -2\/15827","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 143, 561, 1265, 2261, 3555?\nAnswer: 5153","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) be the third derivative of -2*c**5\/15 - 25*c**2. Let v(p) be the second derivative of p**3\/3 - 2*p. Give v(a(q)).\nAnswer: -16*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -129 + 47. Let x(m) = 5*m**2 - 66*m + 11. Let k be x(13). Is -1 - 8\/k - h 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 iiviigmmymigiiivie. Give prob of sequence vmv.\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*o**3\/7 + 214*o**2\/7 + 730*o\/7 - 415662\/7.\nAnswer: -2*(o - 73)**2*(o + 39)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -74*-3\nAnswer: 222","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1238063 is divided by 20984?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1246269 minus -0.27948759?\nAnswer: 1246269.27948759","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 46071092 - -23?\nAnswer: 46071115","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 72799 is divided by 3634.\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-20136)\/88 + ((-24)\/11 - -2). Let f = a - -30. Are f and -199 non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.3 (b) -148.02 (c) -1\/9 (d) -115 (e) 0.5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: ((108\/6)\/6)\/((-108)\/8)\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/(a**(-2)*a))\/a**5*(a**(-2))**(-2\/35))\/((a**(-2\/17)\/(a**4\/a))\/((a*a**3)\/a**(2\/19))) assuming a is positive.\nAnswer: a**(46652\/11305)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 496 + 3*o**2 - 2*o**3 - 3*o**2 - 496.\nAnswer: -2*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 20\/(-12) + 1\/(-3). Is z - -631 - 4\/(-2) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2981184 to the power of 1\/4, to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/7, 37, -0.2, 811 in increasing order.\nAnswer: -2\/7, -0.2, 37, 811","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*i + i - 3*i)*(-i**3 - i + i) + (-2*i**4 + 0 + 0)*(224 + 191 - 569) - 4*i**2 + 5*i**4 + 4*i**2 to b*i**2 + k*i**4 + v + m*i + q*i**3 and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -7404 and 1862?\nAnswer: -13786248","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = -12 - 22. Let y(m) = 17*m - 34. Let a be y(10). Suppose -c = s - a. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 125*o + 430 + 70 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = o**2 - 144*o + 4047. Determine x(38).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -2*j + 72. Let a be q(18). Suppose a = -u + 47. What is the remainder when 29 is divided by u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -b**2 + b + 4. Let j be 63\/12 - (-1)\/(-4). Suppose 2*v + d + 4 = 0, j*v + 9 - 2 = -4*d. Give h(v).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1353 - -0.1.\nAnswer: -1352.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -59, 1, -1, 5, -2 in descending order.\nAnswer: 5, 1, -1, -2, -59","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:22 PM and 7:16 PM?\nAnswer: 354","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -828 or -5?\nAnswer: -828","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -37 + 67. Is j a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2772728824 a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 1710*w - 3218. What is c(2)?\nAnswer: 202","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.3 and 73433.\nAnswer: 22029.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 1, e: 1, j: 2}. Give prob of sequence jj.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1228 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1193109737 to the nearest integer?\nAnswer: 34541","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a century in decades?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -y**2 - 63*y + 3. Let g be m(-63). Solve 3*q = g*i - i - 20, -3*q - 16 = -i for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -r**2 + r - 1. Let c(f) = 5*f**2 + 3*f + 12. Let y(i) = c(i) + 3*j(i). Let k(n) = -8*n**2 - 23*n - 37. Let u(p) = -2*k(p) - 9*y(p). Give u(-5).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by 864485.\nAnswer: -1\/172897","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = l**2 + l + 1. Let q be ((-150)\/(-60) + (-2)\/1)*6. Let g(a) = -7*a**2 - 3*a - 4. Determine q*o(w) + g(w).\nAnswer: -4*w**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 25\/11 and 41\/4.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 101 divide 172843262?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cbhqb. What is prob of sequence hb?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -20465 (base 9) in base 10?\nAnswer: -13505","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 974, 971, 968, 965?\n\"Answer: -3*g + 977","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 5 (b) 1\/12 (c) -2 (d) -0.2523\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -r**3 + 6*r**2 + 521*r + 31. Calculate t(-20).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 356*k**2 + 68*k**3 + 64*k**3 - 356*k**2 + 67*k**3 - 202*k**3.\nAnswer: -3*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = b - 3. Let p be m(7). Let s(c) = c**3 + 4*c**2 - 8*c - 4. Let q be s(-5). Let h = q + p. Does 4 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*k + 4060597 - 14047167 = 0. Let d = -1480870 - k. Round d to the nearest ten thousand.\nAnswer: -570000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 244 minutes after 1:36 PM?\nAnswer: 5:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 45*d + 73*d = -944 for d.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2574391 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 189 divide 393244?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (63 - 63 + 7*m)*(-27 + 27 - 9*m) - 3*m**2 + 5*m**2 - 3*m**2 + (-3*m + 0*m + 2*m)*(2*m + m - 4*m).\nAnswer: -63*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3 - -2. Suppose 78*u + 190 = 40*u. Let y = 15\/7 - 121\/63. Which is the fourth smallest value? (a) j (b) y (c) u (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) be the first derivative of -5*n**2\/2 + 3*n + 1. Suppose 0 = 4*l + 4*y - 2*y - 2, 0 = 4*l + 5*y + 13. What is x(l)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 215 and 5.\nAnswer: 215","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -14*r + 1068. Is 34 a factor of z(-39)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 19, 0, 14 in decreasing order.\nAnswer: 19, 14, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 8\/32 - (-81)\/(-4). Let r be (8\/s)\/(2\/(-10)) - 1. Solve -3*m - 3*t - r = 2, -4*m - 8 = 2*t for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1226312259 to the nearest integer?\nAnswer: 1070","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(-6)*-7*4\/42.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1584) + (sqrt(1584) + -1)*-6 + 4)**2.\nAnswer: -1200*sqrt(11) + 39700","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -423578688 by -6.\nAnswer: 70596448","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25 = 24335*c - 24331*c - 3*s, 5 = 2*c + s for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 98248.\nAnswer: 2, 12281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -777 + 78?\nAnswer: -6dd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 5 + 5)*((4 - 3 - 2)*(-h**2 - 2 + 2) + 30*h**2 + 18*h**2 + 18*h**2 - h**2 + h**2 - h**2)*(-h**3 + 4*h - 4*h).\nAnswer: -66*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -32*y**2 - 2 + 2 + 37*y**2 + 0. Let k(a) = 3*a + 19. Calculate s(k(t)).\nAnswer: 45*t**2 + 570*t + 1805","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -2777001 divided by -925667?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 4b8 - 421a5?\nAnswer: -419ba","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 58 is divided by 31?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2265408?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -6*g**2. Let r(p) be the second derivative of -2*p**3 - 20*p - 4. Determine r(c(d)).\nAnswer: 72*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Determine y so that -1512\/5 + 74*y + 2\/5*y**2 = 0.\nAnswer: -189, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -y**3 + 5*y**2 - 2*y - 6. Let j be h(4). Let p be j\/(-4) + (-4480001)\/(-2). What is p rounded to the nearest one million?\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = v - 12. Let j be n(12). Suppose f + 4*f = j. Which is smaller: f or -10\/9?\nAnswer: -10\/9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1 - -89?\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 36? (a) -5\/2 (b) 2\/17 (c) -3 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*z + 23 - 107 = 0. Let p = z - -2. Suppose -n = -67 - p. List the prime factors of n.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50*k - 80*k - 35*k + 5280 = 0. Suppose m + m - 4*z = 40, 0 = -5*m - 3*z + 48. What is the smallest common multiple of m and k?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 4\/(-10) + (-4)\/10. Let q(n) = n**3 - 11*n**2 + 10*n - 1. Let r be q(10). Put r, c, -2\/7 in descending order.\nAnswer: -2\/7, c, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -25, -574, -30 in descending order.\nAnswer: -25, -30, -574","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(sqrt(50) + (sqrt(50) + 2*sqrt(1250) - sqrt(50)))\/(sqrt(1000)*-1 + sqrt(10) - sqrt(10)).\nAnswer: -33*sqrt(5)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 24614839 and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dtdddtppd. What is prob of sequence tddd?\nAnswer: 5\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-3)\/12 + 13\/4. Suppose -4 = 3*s - 4*s + 4*d, z*d = -3*s + 27. Solve 2*g = -6, 2*l + s = -4*g - 0 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -28 (b) 1\/5 (c) 0.1 (d) 2028\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1969?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v\/v**(-4))\/(v\/v**19) assuming v is positive.\nAnswer: v**24","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 68619048 rounded to the nearest one hundred thousand?\nAnswer: 68600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 607 + -166. What are the prime factors of a?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = y**2 + 17*y - 2. Give v(-17).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/(a**(-2\/7)*a))**19)**26*((a*a*a**6)\/(a**(-1\/4)\/a*a))**(34\/7) assuming a is positive.\nAnswer: a**(2537\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 310 minutes before 9:47 PM?\nAnswer: 4:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -4996, -5029, -5112, -5269, -5524?\n\"Answer: -4*v**3 - v**2 - 2*v - 4989","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 - 23*k**2 + 3 + 22*k**2 in the form i + d*k**2 + g*k and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2\/35009 or -0.7157?\nAnswer: -2\/35009","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3440010 and 360?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 99704 to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 6 - 5.98. Let i = 0.020004 - z. What is i rounded to 5 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*n = -10*n - 20 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2549*b**2 - 4275*b**2 - 179*b**2 - 3178*b**3 + 322*b**2 wrt b?\nAnswer: -19068","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = -n - 14 - 77, 153 = 5*f - 3*n. What is the greatest common divisor of f and 45?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d**0*d*d)**(-16))**(-38) assuming d is positive.\nAnswer: d**1824","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 0 + 4 - 2*c**2 + 10 - 27*c. Let o be k(-13). Suppose 5*u - 8 = o. Which is greater: u or 5?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-3)\/2*2*-1. Let t be 11 + (-6)\/2 - y. Solve 4*g + 12 = -b - g, t*b = 3*g - 4 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -90712, 4, -12 in descending order.\nAnswer: 4, -12, -90712","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + ((1*-3*sqrt(136) - sqrt(136) - (sqrt(136) + 3*sqrt(136)*-3))\/(2*sqrt(1152) + sqrt(88)\/sqrt(704)))**2.\nAnswer: -168837\/37249","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 17.3 + -17. Which is the closest to 0? (a) -2\/7 (b) y (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -123.3 - -123.303. Which is the closest to -1\/4? (a) -0.1 (b) 2 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -5*d - 6. Let q = -24 + 17. What is the tens digit of r(q)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (0 - (-2)\/4)\/((-3)\/(603\/(-134))). Put z, 0.2, 0.0038 in decreasing order.\nAnswer: z, 0.2, 0.0038","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 119*s - 2022. What is d(17)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x - 3*d - 67 = 0, -x - 3483*d + 3477*d = 143 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2\/(-16) + 2\/4. Which is the fourth smallest value? (a) t (b) 3 (c) -2\/11 (d) 4\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3040.\nAnswer: 2, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 27 (base 9) to base 5\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 744, 2, -2133 in ascending order.\nAnswer: -2133, 2, 744","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1753.349 years in millennia?\nAnswer: 1.753349","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2)\/(-12) + (-805)\/42 + 11. Let v be x\/(-6)*((-85)\/(-50) - 2). Let f be 7*(1 - 2) + -1. What is the second biggest value in 2, f, v, -2?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-2)\/7)\/((-2)\/14). Is -3 + -36*(-3 + n) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 plus 0.201?\nAnswer: -0.799","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 377 greater than 392?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) be the second derivative of -f**4\/3 - f**3\/6 - f**2\/2 - f. Suppose -2*k - 3*y = -5*k - 12, 0 = -3*y + 12. Let d = -1 + k. Determine a(d).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1348615 is divided by 30?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 735 to the power of 1\/2, to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -142507*j**6 - 906*j**2 - 20*j.\nAnswer: -17100840*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3 - 1. Let f = 56.1 + -53. Let k = 0.1 - f. Sort k, g, -3\/2 in ascending order.\nAnswer: k, -3\/2, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10 (base 15) to base 16.\nAnswer: -f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3175608563 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 10674 and 126902.\nAnswer: 1142118","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 17426252521 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1020 (b) 270\/13 (c) 0.3 (d) 0.5 (e) -2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3632567 divided by 3.\nAnswer: 3632567\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Product of -9827 and 0.039.\nAnswer: -383.253","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/14*(-344)\/1677?\nAnswer: -4\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1\/6, 18, 0.3, -3\/8?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -13*m**3 + 9*m**2 + 90*m.\nAnswer: -m*(m - 3)*(13*m + 30)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = b**3 - 15*b**2 - 2*b + 42. Let k be p(15). Suppose 0 = 5*w - 11*a + k*a - 14, -5*a - 2 = w. Solve -3*o = -0*o + w for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -x + 5*x - 3*x + (1 + 1 - 3)*(-x + 0 + 0) + (-1 + 5 - 3)*(5 - 6 + 2)*(-293*x + 282*x + 136*x) to t + i*x and give i.\nAnswer: 127","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - -2) + (25 - 21)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -15*u**2 - 6*u + 2. Let i(k) = -41*k**2 - 19*k + 7. Let d(t) = -11*f(t) + 4*i(t). Suppose 5*g + 11 = 6*g. Does 2 divide d(g)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/(-1)*208\/6*((-21190)\/(-780))\/(-163)?\nAnswer: -104\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 685*a + 129*a - 1496*a - 1297*a = -122698 for a.\nAnswer: 62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 8277*b**5 - 229*b**4 + 28*b**4 - 8280*b**5.\nAnswer: -3*b**4*(b + 67)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*s + 792 = 49*s for s.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000061 rounded to five decimal places?\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 646932 and 198.\nAnswer: 1940796","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2)\/(-1 - (-6)\/7). Let y = h + -3. What is the units digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2752*z - 73970 = 135182 for z.\nAnswer: -76","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (64 - (-34952)\/(-544))\/((-83)\/(-84) + -1).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2320)\/(-15) - (-16)\/12. What is the greatest common factor of 12 and v?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-78)\/4)\/((-48)\/160). Factor 4*y**3 + 15*y**2 + 113 - 64*y - 3*y**2 - o.\nAnswer: 4*(y - 2)*(y - 1)*(y + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 115301 or 115296?\nAnswer: 115296","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -3*m**3 - 17*m**2 - 9*m - 81. Give a(-6).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -4*k**3 + 3*k**2 + 3*k + 1. Let r = -3824 + 3831. Let v(y) = -9*y**3 + 6*y**2 + 7*y + 3. Determine r*h(a) - 3*v(a).\nAnswer: -a**3 + 3*a**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 544*c - 4064. Is 94 a factor of i(13)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -17.2 + 17. What is the nearest to 11 in 1, -0.4, f?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -18 - -60. Calculate the greatest common divisor of 14 and x.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1\/2 (b) 26 (c) -0.5 (d) 3\/187 (e) 2\/5 (f) 0.1 (g) 8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = -2*p - 5. Let x be 12\/30 - (-22)\/p. Let g(o) = -2*o + 5. Let n be g(x). What is the greatest common factor of 78 and n?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 29166, 58329, 87492?\nAnswer: 116655","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 7 = 15, -53 = -3*v - 5*y. Solve 0 = -24*x + v*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/5, 0.191, 5, 0.3, 0.14.\nAnswer: 0.14, 0.191, 1\/5, 0.3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 2387047216 to the power of 1\/9, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -u - 3. Let y(d) = -d - 1. Let n(i) = 2*j(i) - 5*y(i). What is n(2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16488368.56 rounded to the nearest one million?\nAnswer: 16000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -2\/19 and 20\/127.\nAnswer: 2413","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -n + 3. Let p be s(6). Let k(h) = -h + 2. Let a be k(4). Calculate the remainder when (-8 + p)*(0 + a) is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2262 is divided by 173?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1 - 2. Let v(h) = -5*h**2 - 276*h - 41. Let n be v(-55). Let m be (-2184)\/(-832)*(-12)\/n. Sort m, r, -0.4, -4 in descending order.\nAnswer: -0.4, r, m, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1285 is divided by 43.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4345, -3, 1272, 0, 5 in ascending order.\nAnswer: -4345, -3, 0, 5, 1272","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 2*g**3 - g**2 - 2*g - 3. Let j = -19 + 22. Let a(w) = 3*w**3 - w**2 - 3*w - 5. Calculate j*a(r) - 5*z(r).\nAnswer: -r**3 + 2*r**2 + r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 12 in -2\/11, -7585, -152\/5?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 31 + -30.8. Which is bigger: -1\/3 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13 (base 10) to base 2.\nAnswer: 1101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k and 1 b when three letters picked without replacement from {b: 1, k: 3}?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -41\/324 and -25\/72?\nAnswer: 648","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -14*u**3 + 11*u**2 - 12*u + 11. Let g(h) = 5*h**3 - 4*h**2 + 4*h - 4. Determine 11*g(a) + 4*o(a).\nAnswer: -a**3 - 4*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*j - 172 = -4*g - 188, -4*g + 5*j - 13 = 0 for g.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 0.06028832*4\nAnswer: 0.24115328","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 92*r = -77*r - 12691 + 110 - 3305 for r.\nAnswer: -94","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 109 divide 3410?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/(m\/(m**0*m)*m*m))\/(m\/(m\/(m**(-5)*m))))**(-6\/7)*m**(-3)\/(m**(-2\/11)\/m)*(((m*(m\/(m\/(m**(-1\/2)\/m)*m*m))\/m*m)\/m*m)\/m)**48 assuming m is positive.\nAnswer: m**(-13274\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*c**2 + 26*c - 26*c)*(6 - 10 - 6).\nAnswer: 70*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.42 and -34?\nAnswer: 34.42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 t and 2 q when four letters picked without replacement from whwqqtwwtc?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4 + 4. Suppose 0*i + i = u. Suppose g - 10 = -i*g. List the prime factors of g.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 113161 is divided by 780?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 8707*l**6 - 1390*l**2 + 0 + 205274770*l + 0 - 205274766*l wrt l?\nAnswer: 1044840*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 1.8373038 months?\nAnswer: 0.15310865","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -652.3883 - 19.4107. Let s = q - -668.8. Let p = 3 + s. Round p to two decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -370*z**2 + 751*z**2 + 20*z - 376*z**2 - 13*z + 7*z**3 + 5 - 15*z as g*z + j + v*z**2 + o*z**3 and give v.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 4\/14 - 78\/(-21). Suppose -5*g - 3*o + 30 = 0, 0 = -n*g - o + 22 + 2. Suppose 51 = 4*y - 17. Calculate the remainder when y is divided by g.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -2*h. Let q(l) = 47*l - 30. Let c(x) = -2*b(x) - q(x). Differentiate c(n) with respect to n.\nAnswer: -43","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -7 - -6. Let b = 0.017 + 0.183. Put b, i, 0.3 in decreasing order.\nAnswer: 0.3, b, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3606653*t**3 + 10*t - 10*t - 3606670*t**3.\nAnswer: -17*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:57 PM and 11:17 PM?\nAnswer: 260","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -551 + 2854 = 47*h. Let u = 9 + -8. Which is bigger: u or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v = -122*g + 125*g + 13, -5*g + 2*v = 7 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.5 (b) 14 (c) 0.2 (d) -1\/442 (e) -1 (f) -2\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 30 = 5*r. Let p be (5 - r)\/25 - 22\/(-10). Let n be p\/(2 - 4) - -3. Solve 7 = n*j - 1 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -9 + 13. Suppose -10*t + 5*t + 648 = 4*f, 24*f = t + 44. What is the smallest common multiple of g and t?\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*x - 12*x + s = -22*x - 2, -18 = -15*x + 18*x - 3*s for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 2*b**3 - 2*b**2 - 3*b + 2. Let x be z(2). Let v = 177\/4 + -1939\/44. What is the nearest to -0.1 in -3, v, x?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2276 (base 12) to base 4\nAnswer: 323322","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -191\/105828480 and -91\/154720?\nAnswer: 105828480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wp when two letters picked without replacement from wwwp?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -118 - -6*(-8188)\/(-184)?\nAnswer: 149","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10934?\nAnswer: 2, 7, 11, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 0 - (65\/5 + -15). Solve -5*q + v = 11, -2*q - q + a*v = 8 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/(11\/22))\/((-12)\/1)\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -38*a**2 - 62*a + 3. Give p(-2).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (87 + -84)*2*(-5)\/(-105)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 26243902.\nAnswer: 2, 19, 690629","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -56 - -59. Suppose 62 = -2*w + i*w. What are the prime factors of w?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 4*v = 12, 9 = 5*s + 6*v - 3*v. Suppose -25*b + 24*b + 5077 = s. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 40 in -2\/5, 27053, -20?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 369*w**2\/2 + 36561*w\/2 + 1485.\nAnswer: 3*(w + 99)*(123*w + 10)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 0 + 2 + 0 + 3.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.057630426 rounded to four dps?\nAnswer: -0.0576","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 + (-16 - (25 + -56)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -41*b**2*n*v + 33*b**2*v + 25*b**2 + b*v**2 + b*v - n**2*v + 15*n*v**2 wrt n?\nAnswer: -41*b**2*v - 2*n*v + 15*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -347 (b) -1\/23 (c) 1\/7 (d) 0.01\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g when two letters picked without replacement from zgzzggggzg?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*s + 25, 3*s + 20 = 2*a - s. Let c be (60\/(-70))\/((-3)\/28). Suppose -2*i + 46 = 4*n, a = -i + 2*n - n + c. What is the tens digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*k + 10*k - 11*k.\nAnswer: -15*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let 9*h + 3*h**3 - 2*h**4 + 15*h**2 - 3*h**4 + 2*h**4 = 0. Calculate h.\nAnswer: -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 59*j**2 + 3640*j - 1113. Determine u(-62).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -25652 + 25651. Sort -429, n, -4 in ascending order.\nAnswer: -429, -4, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/6)\/((-26)\/(-351)*-3).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8*a - 609*a + 132*a - 848*a to u + q*a and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 22341 + -16569. What is the least common multiple of 1480 and r?\nAnswer: 57720","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1345 = 139*x - 94 for x.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31*u - 91*u + 42 = -46*u for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 297, -1117, -3387, -6441, -10207, -14613, -19587?\n\"Answer: 12*y**3 - 500*y**2 + 2*y + 783","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 5*l + 5. Let t(u) = -u - 1. Let b(g) = 3*t(g) + x(g). Let s(w) = -w - 1. Give 4*b(a) + 6*s(a).\nAnswer: 2*a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*f**3 - 225*f**2 - 1570*f + 10200.\nAnswer: -5*(f - 4)*(f + 15)*(f + 34)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o = -7*z + 186103, 3*z + o = 7*z - 106360. What is the hundreds digit of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 5*t**2 - 33*t + 11. Let k be v(7). Let g be ((-2)\/k)\/((-8)\/(-40)). Is -0.031 > g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) be the first derivative of -1\/2*y**4 + 8*y**3 - 1\/2*y**2 - 25 + 0*y. Find the third derivative of p(h) wrt h.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27 - 2 = 5*z. Suppose -7 = -x - 5*d + 16, z*x - 3 = 3*d. Let s(l) = l**2 - 7*l + 8. Let a be s(6). Sort a, 5, x.\nAnswer: a, x, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4.6 in -7, 4, -4\/3, -6\/13, -66?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/4*(-26)\/39.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -12 - -10. Calculate the common denominator of (b\/(-44))\/(3\/108) and -16\/3.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g - 4 - 2 = 0 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.2 + 0.4. Suppose -20 = 2*y - 0. Let c be (-27)\/5 - 4\/y. What is the second smallest value in -2\/5, b, c?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -27*m - 22*m**3 + 2 + 45*m**3 - 22*m**3 as w*m**3 + n*m + l*m**2 + r and give w.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide 732 by -664.\nAnswer: -183\/166","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f**(-1)\/f*f)**(11\/5)*(f*f\/f**2)\/f**(-5))\/((f*f**(-2\/3)*f*f*f)**(1\/15)*(f\/(f*f**(1\/3)*f))\/f**5) assuming f is positive.\nAnswer: f**(100\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - 3*t - 10 = 0. Let d(h) = -2*h. Let l be d(-2). Let v = l - t. What is the units digit of v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2510207 is divided by 226.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3425, -3431, -3441, -3455, -3473, -3495, -3521?\nAnswer: -3551","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -a**3 - 22*a**2 - 127*a - 125. Give x(-13).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fqo when three letters picked without replacement from {q: 1, f: 1, o: 2}?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1234413459*c**3 + 62*c - 5392687.\nAnswer: 7406480754*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/84, -11, -57 in increasing order.\nAnswer: -57, -11, 1\/84","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of d**3 - 55*d**2 - 100*d.\nAnswer: 6*d - 110","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -1011111111111101 (base 2) to base 4\nAnswer: -23333331","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/196 in 8, 1311, 20?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.302879 to two decimal places.\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1205187?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 90335.34 microseconds?\nAnswer: 0.001505589","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 359 minutes before 5:46 AM?\nAnswer: 11:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 20*r**4 - 12*r**4 + 17*r**4 + (4*r + r**2 - 4*r)*(-r**2 + 3*r - 3*r) - 3*r**4 + 5*r - 5*r - r**2 to d + o*r**3 + n*r**4 + l*r**2 + m*r and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 120 + -79. Suppose -s + v = 6. What is the tens digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) be the third derivative of 0*c + 0*c**4 + c**2 - 28 + 1\/60*c**5 + 0*c**3. Let r(x) = 164*x**2. What is a(r(i))?\nAnswer: 26896*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2 - 5. Let v be x - -1 - (-7 + 2). Calculate the highest common factor of v and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -7*x**2 + 18. Let l(r) = 8*r**2 + r - 19. Determine 6*d(m) + 5*l(m).\nAnswer: -2*m**2 + 5*m + 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3.155 - -2.155. Let l = 4 - 3.7. What is the nearest to y in 3, -0.3, l?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -5\/2, -106, -2\/65, -5?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2328, -4708, -7088?\nAnswer: -9468","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + sqrt(208) + 0)**2.\nAnswer: 24*sqrt(13) + 217","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/(-10) + 120\/675.\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.223 rounded to the nearest integer?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*a + 2*l + 370, -a - 4*a + 3*l = 395. Let d = a + 169. Let g = -46 + d. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -19, -45, -57, -43, 9, 111, 275, 513?\nAnswer: 837","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 85.17711 hours in nanoseconds?\nAnswer: 306637596000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3280 is divided by 815.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 3*z**2 - z - 34. Let w be h(-3). Let m(o) = -4*o**3 + o + 4. Let x(l) = 5*l**3 - 2*l - 5. Give w*m(g) - 3*x(g).\nAnswer: g**3 + 2*g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((w**(-1)\/w)\/w)\/w)**(-2\/3))**(-1)*(w**(2\/17)*w*(w\/(w*w*w*w**(-2\/25)))\/w)\/((w*w**(-1))\/(w*w**(-2\/21)*w*w)) assuming w is positive.\nAnswer: w**(-13961\/8925)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = c**3 - 6*c**2 + 5*c + 2. Let u be l(5). Let k be (14\/10)\/(u\/10). Round k to the nearest integer.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -3, -8, -0.44 in decreasing order.\nAnswer: 3, -0.44, -3, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 105550 to the power of 1\/2, to the nearest integer?\nAnswer: 325","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -12*m + 12. Does 14 divide u(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 48.6 times -0.04?\nAnswer: -1.944","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.1 (b) 83\/5 (c) 2656 (d) 1\/5 (e) 5\/4 (f) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x + 4*q - 37 = 0, -x + 3*q = -2 - 13. Let p = 5 - x. What is the units digit of ((-6)\/(-8))\/((-1)\/p)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1194?\nAnswer: 2, 3, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10710863 is divided by 48?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (1\/(4\/4))\/((-1)\/(-12)). Suppose -15*p + d*p + 411 = 0. Is 12 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 33511728.\nAnswer: 2, 3, 283, 2467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -16 less than -4\/97?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -6 + 2132662?\nAnswer: 2132655","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + g)*(5 - 1 - 2) + 10*g + 2*g - 4*g - 2*g + 4 - 5 - 2.\nAnswer: 8*g - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 0*k**2 + 2*k**2 - 5 - 3. Let r be (3 + -1)\/(104\/(-156)). Let h(f) = -f**2 + 3. Determine r*i(w) - 8*h(w).\nAnswer: 2*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 48\/10*(-20 - -655)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -175.208 - -177.208. Let z = -273 - -4097\/15. What is the closest to b in 0, -0.1, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -6\/211, 0.3, -0.1, -4 in descending order.\nAnswer: 4, 0.3, -6\/211, -0.1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence llv when three letters picked without replacement from {n: 3, u: 2, l: 2, v: 6}.\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2602*f*i - 3084*f wrt i?\nAnswer: -2602*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x - 20 = -5*x. Let i = 28 - 6. Let g = -24 + i. Sort -1, x, g.\nAnswer: g, -1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -y**4 + 45875443*y**3 - 313576312*y**2 wrt y?\nAnswer: -24*y + 275252658","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 4, p: 1, b: 2, d: 3, n: 6}. Give prob of picking 2 y, 1 d, and 1 n.\nAnswer: 27\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -404 - -2442. List the prime factors of z.\nAnswer: 2, 1019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 63 + -26. Is 5 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 131?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.9825 - 0.897. Let l = -5.0909 + p. Let v = l - -7. Round v to two dps.\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 914270*z - 3 + 3*z**2 - 6*z**2 - 914270*z + 75*z**4 to the form v*z**2 + o*z + j + h*z**4 + n*z**3 and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 (base 11) in base 6?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -34192, 2, -7\/6, -5, 6 in ascending order.\nAnswer: -34192, -5, -3, -7\/6, 2, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -10*u**3 + 4*u**2 - 6*u + 5. Let p(n) be the second derivative of -11*n**5\/20 + 5*n**4\/12 - 7*n**3\/6 + 3*n**2 + 178*n. What is -5*l(o) + 4*p(o)?\nAnswer: 6*o**3 + 2*o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -r**4\/3 - 25*r**3 + 76*r**2\/3.\nAnswer: -r**2*(r - 1)*(r + 76)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*s**4 + 3 - s - 9*s**3 + 5*s**4 + 9*s**3 to the form h + m*s**4 + v*s**3 + w*s + q*s**2 and give h.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 7 + -7. Let m be (-10)\/(-8) + z\/1. Which is the second biggest value? (a) m (b) 1 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 3\/1 + 692 + (-32)\/(-4). What is q rounded to the nearest 10?\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 585 minutes before 8:56 AM?\nAnswer: 11:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(2 + (1 + (sqrt(1331) - (sqrt(1331) - (3 + sqrt(1331)))))**2) + -4 + 5.\nAnswer: -2697 - 176*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) be the first derivative of n**6\/30 + n**5\/5 - 25*n**4\/6 + 14*n**3 - 7*n**2\/2 - 2*n + 86. Let m(z) be the second derivative of a(z). Factor m(p).\nAnswer: 4*(p - 3)*(p - 1)*(p + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3528\/47, 0.4, 0.5, -3, -24 in increasing order.\nAnswer: -24, -3, 0.4, 0.5, 3528\/47","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -h**2 - 39*h + 128. Let y be s(3). Let z(j) be the first derivative of -1\/4*j**4 + 7\/2*j**y + 0*j - 2*j**3 - 13. Calculate z(-7).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 14*f + 231 = 0. Calculate the least common multiple of f and 33.\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*y - 25 + 88. Suppose -3*v + 2*u + y = u, -4*u + 3 = v. Solve -5*k - 5 - 21 = -v*m, k + 4*m - 4 = 0 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -111 (base 2) to base 6\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -y**2 + 3*y - 1. Let i(h) = -1306*h**3 - 4*h**2 + 12*h + 67. Let d(x) = -4*c(x) + i(x). What is the derivative of d(o) wrt o?\nAnswer: -3918*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = b + 5. Let u be r(0). Let h be 0\/((1 - (-3 + u)) + -3). Suppose h = -5*o + n - 5*n + 102, -2*o = 5*n - 51. What is the units digit of o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 111 and 296.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 43 + (-83 - -40) + 38?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Express -4456*u + 6661*u - 14 + 14 as w + d*u and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 97, -7, 7, 0.1 in descending order.\nAnswer: 97, 7, 0.1, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1)\/1*(-317)\/28. Let x = -47\/4 + p. Let g = -0.1 + 0.2. Sort x, 2, g.\nAnswer: x, g, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -14\/5, 1, 0.5, -3?\nAnswer: -14\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5312, 21247, 47804, 84983, 132784?\nAnswer: 191207","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/(1\/(-1)))\/((-1)\/1).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 28 + (0 - 1) + 0. Let k be 21\/126 - 58*199\/(-12). Suppose i - v = -0*i + 245, -4*i - 5*v + k = 0. What is the highest common divisor of i and r?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 7.583358 tonnes?\nAnswer: 7583358000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-112)\/35)\/(14\/10*(-50)\/(-175))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-36)\/(-15))\/((-2418)\/56420).\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by 21343?\nAnswer: 1\/21343","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000040753 to 6 decimal places.\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1067 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5*s + 10*s + 7*s)*(-2*s**3 + 7*s - 7*s) to i*s**3 + g*s + x*s**2 + m + v*s**4 and give v.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 35 is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1 + -42?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1677 by 1.\nAnswer: 1677","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + 29 = -5*p, -o = 3*o - 5*p - 8. Let b be 1 + 420\/209 + o. Let s = b + 1877\/418. Sort 0.4, 0.2, s, -0.4.\nAnswer: -0.4, 0.2, 0.4, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rekxkexekrrexeerrr. What is prob of picking 1 e and 1 x?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2787?\nAnswer: 3, 929","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 9*l - 21. Let o be z(8). Calculate the remainder when 140 is divided by 669\/o + 4\/(-34).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2429787691?\nAnswer: 2429787691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 8.0493, -0.1072, 5 in increasing order.\nAnswer: -0.1072, 5, 8.0493","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 6*q = v + 19, 3*q - 4*v + 44 = 0. Let l(w) = 4*w**2 + w + 1. Let y be l(q). Suppose 779 - y = 2*h. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-1)\/u)**(4\/7)\/((u*(u**(-6)\/u)\/u)\/((u*u**(-5))\/u)) assuming u is positive.\nAnswer: u**(6\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -5*y + 243. Let m be z(-6). What is the highest common divisor of 26 and m?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -32, -4, 2\/19, 2.5, -269?\nAnswer: 2.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*s**2\/5 + 154224*s\/5 + 1079078 = 0. What is s?\nAnswer: -77077, -35","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = k. Let f(n) = -213940*n. Give f(u(o)).\nAnswer: -213940*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 3*u**2 + 21*u. Let l(i) be the third derivative of i**4\/24 - 146*i**2. What is m(l(v))?\nAnswer: 3*v**2 + 21*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mmww when four letters picked without replacement from {m: 3, w: 2}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(40)\/sqrt(2)*3 + sqrt(200)\/(sqrt(10)*-3) + sqrt(20))\/(4*sqrt(32)\/(sqrt(200)*4 + sqrt(8))).\nAnswer: 77*sqrt(5)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((k**(-2\/17)*k)\/k**(8\/5))**(13\/6))**(1\/7))**2 assuming k is positive.\nAnswer: k**(-793\/1785)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1, 0.4, 16.6?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 40 and 46740?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = -4*y - 31, -5*b = -3*y + 16 + 24. Let c = -18742 + 18740. Let i(j) = -5*j**2 + 2*j. Let f(l) = 25*l**2 - 11*l - 1. Give b*i(p) + c*f(p).\nAnswer: 5*p**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a century in months?\nAnswer: 1500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -3\/5, -126, -0.3 in decreasing order.\nAnswer: 5, -0.3, -3\/5, -126","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/(u**(-2)*u)*(u\/(u*u\/u**(-2\/7)))\/u)**(-5\/3)*u**(-1\/9)\/(u*u*u**(2\/9))*u**(-2\/19)\/u*u**(1\/4) assuming u is positive.\nAnswer: u**(-1443\/532)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 337 minutes before 1:33 PM?\nAnswer: 7:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 60*l + 22*l + 23*l + 0 + 21*l.\nAnswer: 6*l + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (4\/(-8))\/(1\/24). Let o(i) = -i**2 - 12*i + 13. Calculate the remainder when o(y) is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*u**2 - 1\/2*u**5 + 7\/2*u**3 + 2*u**4 + 0 + 12*u = 0.\nAnswer: -3, 0, 1, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5 + -1. Let b = 4 - g. Suppose -3*k = -b - 18. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2782.785ms to seconds.\nAnswer: 2.782785","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 25383 take away -10249438.79?\nAnswer: 10274821.79","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 190.8355 kilograms to grams.\nAnswer: 190835.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12115 - 56*a - 4041 - 4039 - 4035.\nAnswer: -56*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 197 is divided by 88.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 2432, 2428, 2422, 2414, 2404, 2392?\n\"Answer: -z**2 - z + 2434","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1075*0.05.\nAnswer: 53.75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 44137 to the power of 1\/8, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(2\/7))**(-6))**(-3\/8) assuming j is positive.\nAnswer: j**(9\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) -1.1 (b) 1143 (c) 1\/3 (d) -11\/5 (e) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.4 (b) -18 (c) -1\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 21 (b) -2\/29 (c) 1\/2 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -w**2 + 12*w - 24. Give t(9).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -141 - -205. Calculate the remainder when m is divided by (-175)\/(-8) - (-21)\/168.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -17*h - 429. Let u be a(0). Let c = -426 - u. Solve -14 = -2*v - c*m, 0*v + 4*m = -2*v + 16 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1373 + 2590. List the prime factors of x.\nAnswer: 1217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2 and -7.75.\nAnswer: 15.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((sqrt(6)*1 - sqrt(6))*1 - sqrt(6))*-4)\/(((sqrt(36) + 1*sqrt(36))*-4)\/sqrt(12)))**2*-6.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6)\/(-10))\/(324\/4320)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + (79\/(-63) - 54\/(-378)).\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 47824 is divided by 725.\nAnswer: 699","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 9544 + -5555. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = -4*l + 3, -j + 15 = 2*j. Let f(s) = s**2 + 2*s - l*s + 4 + 3*s. Let u(o) = o**3 - 33*o**2 - 36*o + 65. Let h be u(34). Give f(h).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 294.3 - 294.296115. What is p rounded to 4 decimal places?\nAnswer: 0.0039","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29009 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5 + -3. What is the smallest common multiple of u and 1?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -1\/36 (b) 9 (c) -5 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -12102 + 21?\nAnswer: -12021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3*j + 348 + 46*j**2 + 0*j - 50*j**2 + 128*j**2 with respect to j.\nAnswer: 248*j - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*g**2 + g + 32*g**2 - g - 69*g**2 + 20*g**2.\nAnswer: -6*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -24 + 36. Calculate the remainder when 34 is divided by g.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -k**3 + 38*k**2 + 109*k - 89. What are the prime factors of r(34)?\nAnswer: 3, 41, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -15 + 6705\/210 + -17. What is the nearest to 0.1 in 0, 2, q, -2\/3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 26*d**3*p**3 - 9*d**3*p**2 + 4*d*p**3 + 6*d*p**2 wrt p.\nAnswer: 156*d**3 + 24*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(6\/11)\/l*l\/((l**(-13)\/l*l)\/l)*l**12*l*l**(-1\/12))**29)**(-30) assuming l is positive.\nAnswer: l**(-525625\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express 8*n**2 + 0 + n**3 - 2 + 2 + 1 as y + r*n + c*n**3 + a*n**2 and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 816 = -3*s + 9*s. Let l(b) = -s + b**2 + 136. Let k(r) = -16*r. What is l(k(g))?\nAnswer: 256*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 37\/27 and 68\/510 - 2\/3.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 3\/(60\/1148) + (-4)\/10. Suppose -5*u + 70 = 2*v, 2*u - 7*v + 2*v = k. Let z be -4 + 2456\/36 + 4\/(-18). Calculate the highest common divisor of z and u.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 556644900?\nAnswer: 2, 3, 5, 7, 19, 1993","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4*q**4 + 245*q**3 - 3368*q**2 - 300*q**3 - 25*q**4 - 159*q**3 wrt q.\nAnswer: -504*q - 1284","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -6*n + 7. Let a(i) = -i - 3*i - 5*i + 3 + 6*i. What is -7*a(m) + 3*q(m)?\nAnswer: 3*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -2*(-5)\/30*-1. Which is the biggest value? (a) -2\/5 (b) -2 (c) 5 (d) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = -2*f - 20, 5*b - b - 36 = 2*f. Suppose b*h = 3*h + 10. What is the smallest common multiple of 12 and (-3 + h)*-12 - 0?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -8405648*f**4 - 15761*f**2 + 5*f - 1 wrt f?\nAnswer: -201735552*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 1 r when two letters picked without replacement from {r: 1, k: 3, z: 4, o: 2}.\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -7*i**3 - 3 - 2 + 3 wrt i.\nAnswer: -21*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -25*o**5 + 705*o**4 - 690*o**3 - 3190*o**2 - 1365*o + 405 = 0. Calculate o.\nAnswer: -1, 1\/5, 3, 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -7 - 9*m + 68*m**2 - 187*m**2 + 60*m**2 + 61*m**2. What is y(7)?\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) be the first derivative of -92 - w**2 - 1\/3*w**3 + 2*w. Calculate v(2).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1520236285 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Product of -48 and -943.8.\nAnswer: 45302.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -1356436, -1356434, -1356430, -1356424?\n\"Answer: q**2 - q - 1356436","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8020*n**3 + 274*n**3 - 1102*n**3.\nAnswer: 7192*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -f**2 + 3621*f + 29032.\nAnswer: -(f - 3629)*(f + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -28*j - 79. Let w be y(-3). Solve -6*r = -r + w*s, s - 6 = -3*r for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -11\/120 and -19\/48.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = j + 4*f, 3*f + 8 = -f. Suppose -2*a + 4*t = 12, a - j*t + 11 = 2. Let h be 424\/14 + a\/14. What is the greatest common factor of h and 12?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 91 is divided by 8?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10111100 (base 2) to base 14.\nAnswer: d6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 6) in base 12?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -14 * 4.638351.\nAnswer: -64.936914","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0035011169 rounded to three dps?\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 6349774 divided by 2\nAnswer: 3174887","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nn when two letters picked without replacement from {n: 10}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (-918 - -968) + (5 - 120)\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -9039 - -9044. Solve 1 = -q - 4*z + 21, -z = q - h for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -46 + 41 + 10 + 0 + 2.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 26 in -0.1, 0.1, -3\/2, -0.42, -2\/153?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xxw when three letters picked without replacement from {d: 4, x: 3, i: 1, l: 1, w: 4}?\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 29\/468 and -67\/721292.\nAnswer: 6491628","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -50\/3 - -16. Put d, 2\/5, 1 in increasing order.\nAnswer: d, 2\/5, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(-3*(sqrt(2)*1 + -1 + (sqrt(2) - sqrt(8)\/sqrt(4)*-3)) + 5*5*(sqrt(32)*3)**2)*-3.\nAnswer: -108045 + 225*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 3 + 243431?\nAnswer: 243434","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -13 in -1, 2\/21, 68, 1.34?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(975) + -3*sqrt(975) + sqrt(39) + (sqrt(39) - 2*sqrt(3900)))\/((1*sqrt(3993))\/(2*(2*sqrt(11) + sqrt(11)))))**2.\nAnswer: 366912\/121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 65 by -401.\nAnswer: -65\/401","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 12 + -6 + 3 - 7\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + -2 + (-38 - -41)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 286 + -162. What is the remainder when h is divided by (81\/(-18))\/(2*(5 + (-246)\/48))?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = g**3 - 6*g**2 + 3*g + 1. Determine z(6).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 1 + 1)*(m**2 + m**2 - m**2) + 91*m**2 + 33*m**2 + 71*m**2.\nAnswer: 194*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = o**3 - 65*o**2 + 927*o - 58. What is r(21)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 3*r**2 + 765*r + 24181. Give w(-218).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.200865452 to four decimal places.\nAnswer: 0.2009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -81 divided by -4020?\nAnswer: 27\/1340","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-736)\/220 - -3) + 576\/720. Let z(o) be the second derivative of o**5\/20 + o**4\/6 + o**3\/3 + o**2\/2 - o. Let a be z(-1). Which is smaller: p or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 415*x**2 + 3259*x - 525. What is l(-8)?\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 976097 is divided by 488043.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 104 is divided by 30.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand 120 + 95 - 2*f**4 - 127*f**3 - 248 + (5*f - 3*f + 0*f)*(-f**3 + 0*f**3 - f**3).\nAnswer: -6*f**4 - 127*f**3 - 33","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 34*k**3 - 6*k**2 - 5*k. Let s(j) = -35*j**3 + 7*j**2 + 4*j. Let y(p) = 5*s(p) + 4*t(p). What is the third derivative of y(f) wrt f?\nAnswer: -234","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1 + 1010110010001011?\nAnswer: 1010110010001100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = b + 4. Suppose 143 + 832 = 15*t. Let l(h) = -17 + t*h - 35*h - 35*h. Let j be 1 - (-3 - -4)*-8. What is j*w(a) + 2*l(a)?\nAnswer: -a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -32, 18, 132, 334, 648, 1098, 1708?\n\"Answer: 4*w**3 + 8*w**2 - 2*w - 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/1735? (a) 7 (b) 45 (c) 17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*s - 92 + 53 = 0. Suppose -20*r + 15 = -23*r, -4*b + 19975 = -s*r. What is b rounded to the nearest 1000?\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (7\/3)\/(2\/54). Suppose 3*x - y = -u, 3*x - 11 = 5*u + 70. Suppose 3*f - 209 = -16*f + 209. Calculate the highest common divisor of x and f.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 59 + -63. Let n be (y\/8)\/(2*1\/(-320)). Let c = -67 + n. Calculate the greatest common divisor of 117 and c.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (3412\/(7 - 3))\/1. Let t = 1268 - j. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -c**3 + 11*c**2 - 25*c - 17. Let m be x(7). Suppose 2443 = m*y - 5*h, 9*y - 14*y - 5*h = -3065. What is the highest common divisor of 36 and y?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + 17 + (6 + -11 - 1) - -3?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3378.204 weeks to hours.\nAnswer: 567538.272","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/(-9)*2\/8.\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 2*l - 25 = 0, -3*l - 15 = z - 4*z. Suppose -v - 2*v - 16 = -z*b, -4*v + 5*b - 13 = 0. Let o = 8 - v. List the prime factors of o.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = -m - 22, 4*o + 4*m + 8 = 2*o. Let v = o + 19. Solve 3*i - 4*u = 19, 0 = 5*i + 4*u - 0*u + v for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 44500532 (base 7) to base 6\nAnswer: 214255435","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s, 1 l, 1 p, and 1 w when four letters picked without replacement from mlvsssllspsswmlps.\nAnswer: 2\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*k**3 - 5*k**3 + 3*k**5 + (k - 2 + 2)*(-2*k**3 + 2*k**3 + 2*k**4) + k**5 + k**5 - k**5 + 0*k**5 - k**5 + 2*k**5.\nAnswer: 7*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(242) - (4 + (sqrt(242) - (sqrt(242) + -1)) - sqrt(242))) + 0)*-3 - -5*6*(sqrt(24) - (sqrt(1944)*-2 - sqrt(1944)))\/sqrt(12))**2.\nAnswer: 23220*sqrt(2) + 1198377","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -y + 5. Let v be p(5). Suppose 5*g + 3*a - 22 = v, 2 = -3*g + 2*a - 0*a. Solve -5 = c, -7*h = -2*h - g*c - 25 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 600?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15 = 3*d - 30 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-12)\/21*(-1)\/(-1). Let y = 1178.1 + -1178. What is the smallest value in 3, y, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 31 + -50.5. Let q = j - -22. Let n = 0.5 - q. Put -3, n, -0.1 in decreasing order.\nAnswer: -0.1, n, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4 + -5. Let h = 11 + v. Is -5 - -90 - (0 - h) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -1. Let g(w) = w - 2. Let i = -385 - -387. Give i*g(m) - 3*d(m).\nAnswer: 2*m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -30341 (base 15) to base 8.\nAnswer: -452043","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.41 + -0.09. Let s = 4.6 + -4.3. What is the second biggest value in -4, s, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 102044539 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 4689 to the power of 1\/2, to the nearest integer?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -109\/19090 and 61\/249.\nAnswer: 57270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 291*g**2 + 759*g - 1. List the prime factors of b(-10).\nAnswer: 137, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00009006676719 rounded to seven dps?\nAnswer: 0.0000901","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:28 PM and 8:24 PM?\nAnswer: 416","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 10 + -3. Suppose -1 = 5*z - 2*v - 2, 2*z - 3*v - l = 0. Let m be 1 + (10\/14)\/z. Which is bigger: 1 or m?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 189\/4 + -47. Let y(l) be the first derivative of -l**2\/2 + 11*l + 3. Let u be y(7). Sort 9, u, k.\nAnswer: k, u, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.27 - -0.03. Let o = -26.026 + 26. Let w = o - -3.026. Which is the closest to m? (a) w (b) -2 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14650 to the power of 1\/2, to the nearest integer?\nAnswer: 121","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -52*k**3 - 55*k**3 - 56*k**3 + 215*k**3 - 47*k**3.\nAnswer: 5*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c**3\/4 - 17407*c**2\/2 + 591591*c\/4 - 730737\/2 = 0. Calculate c.\nAnswer: 3, 14, 34797","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -20, -1\/15 in descending order.\nAnswer: 3, -1\/15, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1*(-4)\/38 - 754\/2470*-3155 is divided by 238.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -45*t + 2474. Determine f(21).\nAnswer: 1529","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 4 and -119875.8?\nAnswer: -479503.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 o and 1 h when four letters picked without replacement from {o: 3, i: 1, m: 2, k: 1, h: 1, d: 3}.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in thirty-two fifths of a litre?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 120, 159, 232, 345, 504, 715, 984?\nAnswer: 1317","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 4*v - 2*f, -304*v + 2*f + 6 = -303*v. Let p(m) = -m**2 - 7*m - 9. Let j be p(-6). Sort -1, v, 20, j.\nAnswer: j, -1, v, 20","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve -m + 3*q + 2 = q, 2 = 4*m - 5*q for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -87482133 divided by 29160711.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out 8.76 * 0.4.\nAnswer: 3.504","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 58314?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 68800919 to the power of 1\/5, to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1)\/((-2 - -3)\/(-5)). Let u(s) = -21*s**3 - s**2 + s + 1. Let x be u(-1). Suppose 10*m - 5*m + x = 0. Sort w, -5, m in decreasing order.\nAnswer: w, m, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in thirty-one halves of a century?\nAnswer: 18600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(-1\/20)*(v*v**(2\/53))\/v assuming v is positive.\nAnswer: v**(-13\/1060)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: ((-7)\/(-21))\/((-1)\/(-12))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 7}. Give prob of sequence pppp.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -189 - -117. Let u = 77 + a. Let b(g) = 2*g**2 - 2*g + 1. Let z be b(2). What is the greatest common divisor of z and u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 2*j**2. Let h be n(1). Let o = h + -4. Let f = -213 + 1056\/5. Is o smaller than f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = z**2 - 13*z - 83. Let o be y(18). What is the derivative of -o*u**4 + 18*u + 11*u + 27 - 29*u wrt u?\nAnswer: -28*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 167 divide 334847358?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3324.4 + 3305. What is the second biggest value in g, 2, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = n**3 + 7*n**2 + 9*n - 10. Give w(-5).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00248 to 3 dps.\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 966864.5ml?\nAnswer: 966.8645","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of ((-19)\/(-4) + -4)\/((-2)\/(-64))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1027930 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -231, -421, -613, -807, -1003?\nAnswer: -1201","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -76*y + j - 41 = -78*y, y - 31 = j. Solve -10*f + 272 = y*f for f.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 3 + -1*12 + 2. Let t = d - -12. Suppose t*x - 87 = 593. Is 23 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 4546.301 millennia?\nAnswer: 54555612","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*(j*j**10)\/j*j)**(6\/5)\/(j**11*(j**14*j*j)\/j))**(11\/9) assuming j is positive.\nAnswer: j**(-638\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 11668 minus -1?\nAnswer: 11669","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -10.9 + 1.9. Let g = -3 - 2. Let k = r - g. What is the third smallest value in 1\/3, 0.2, k?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from appi. Give prob of sequence pp.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3817*c - 3817*c - 3*c**2.\nAnswer: -3*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -189*v = -47 + 25 - 356 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 4}. What is prob of picking 3 w?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e when two letters picked without replacement from {e: 3}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -5 >= -27134492?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 1, 6\/31, -113.\nAnswer: -113, -4, 6\/31, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find s such that 2*s**5\/11 - 4988*s**4\/11 + 1370762*s**3\/11 - 102752440*s**2\/11 + 394720072*s\/11 - 389316736\/11 = 0.\nAnswer: 2, 149, 2192","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 149*v + 73*v = -452*v - 339*v + 115482 for v.\nAnswer: 114","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 28 + -35 + (-5 + -1 + 7)*-25\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -5*p**3 - 6*p**2. Let u(v) = 11*v**3 + 11*v**2. Suppose -14 + 8 = -m. What is m*u(y) + 11*z(y)?\nAnswer: 11*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 760 and 160.\nAnswer: 3040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -5050 to the nearest 100.\nAnswer: -5100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) be the third derivative of l**8\/112 - 13*l**7\/70 + 3*l**6\/10 - 312*l**2. What is t in m(t) = 0?\nAnswer: 0, 1, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -3\/2, -5, 1\/11, -12509 in decreasing order.\nAnswer: 1\/11, -3\/2, -3, -5, -12509","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -69 - -66. Let z be 4\/(5 - 6 - r). Suppose -z*w = -5*k - 0*w + 6599, -k + 4*w = -1327. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*j + 702275 - 702275.\nAnswer: 3*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2)\/(-4) + 122\/4. Suppose -160 = -3*i - q. Suppose -2*r + 6*r + 3*a - i = 0, 0 = a - 1. Is 5 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 10 + j**2 - 20 + 4*j**2 - j**2 in the form g + k*j**2 + h*j and give k.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -d - 111. Determine s(-7).\nAnswer: -104","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -18 + 27. Suppose 0 = -3*x + h, -x = -0*k + 2*k + 5. Is 2 + -1 + (-88)\/k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -i**3 + 23*i**2 - 21*i - 6. Determine k(22).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (31 + 4 + 98)*(0 - 2 + 0)*(-3 + 2 + 0)*(d**2 + d**3 - d**2).\nAnswer: 266*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 6*g - 9. Let z(c) be the third derivative of 113*c**2 + 0*c + 5\/6*c**3 - 1\/8*c**4 + 0. What is 6*t(w) + 11*z(w)?\nAnswer: 3*w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*i**3 - 35*i**2 - 50*i.\nAnswer: -5*i*(i + 2)*(i + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 52130 (base 9) to base 15\nAnswer: a2b6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 5*z - 6*z. Suppose -z*o + 13 + 1 = 0. Calculate the smallest common multiple of 21 and o.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3123382?\nAnswer: 2, 757, 2063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -4ab (base 13) to base 9\nAnswer: -1107","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20888 is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b = -8*b + 10. Let m be b + 7 + (-1 - -1). Solve 3*c - 3 - m = 0 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1.38 + -1.39. Let g = a - -4.01. Sort 0.48, 5, g in ascending order.\nAnswer: 0.48, g, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*o - 8693 - 980 = 0. Suppose -3*v - 3*g = -1680, 3*v - 2*g = 2*v + o. What is the tens digit of v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 35 - 31. What is the second smallest value in t, 1, -1\/9?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11160012 = -26*a + 23*a. Let n be 4 - 22\/5 - a\/(-10). What is n rounded to the nearest ten thousand?\nAnswer: 370000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 328 and 697?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 353 = -2*o, -12*o + i = -7*o - 872. Is 5\/(o\/30)*420 a multiple of 40?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + 27 = 4*n, 0 = 5*n + 2*m - m - 29. Sort -3, 2, n in descending order.\nAnswer: n, 2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 6\/(-15) - (-51)\/15. Suppose -r - 4*h - 367 = -6*r, -5*r + c*h + 364 = 0. What is the remainder when r is divided by 18?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 22 - 15. Let w = 10 - r. Let o = -657\/20 + 129\/4. Which is the second biggest value? (a) o (b) w (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h - 33 + 21 = 0 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 11\/(-22)*-2 + 0\/(-3). Let k(b) = -b**3 - 7*b**2 - b + 2. Let d be k(-6). Let x be 12\/d*(-1)\/9. Is w less than or equal to x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 - 9 = a. Suppose 4*w + a = 0, 4*w + 11 = 5*o + 7*w. Let r(i) = -i**2 + 4*i + 5. Give r(o).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -p**3 + 6*p**2 + 10*p + 4. List the prime factors of i(7).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h - 9 = 0, 0 = -b - 4*h - 1 - 9 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -14795 less than -14812?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 33 - 33 + 503*g + 784*g as h + p*g and give p.\nAnswer: 1287","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 36\/7 - 48\/7*d + 3\/7*d**3 + 9\/7*d**2.\nAnswer: 3*(d - 2)*(d - 1)*(d + 6)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2 and 732.\nAnswer: 732","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) be the third derivative of -9*r**6\/8 + r**5\/60 + 5*r**4\/12 + 58*r**3\/3 + 8189*r**2. What is the second derivative of g(x) wrt x?\nAnswer: -810*x + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2580 = -13*y - 17*y. Solve 5*d - y + 101 = 0 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o**(-5)*o)\/o)\/(o\/(o\/o**(6\/7))))**(-50) assuming o is positive.\nAnswer: o**(2050\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 63 - 62.964. Let s = -0.064 - r. Let d = -0.2 + 0.13. Which is the second biggest value? (a) -0.4 (b) s (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2\/11 (b) 1.36 (c) 0.094\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 + (6 - 28) + (-3 - 0) + 12?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 56684 + 0.\nAnswer: 56684","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + -4*-4*(((sqrt(2057) - (sqrt(2057) - (sqrt(2057) - sqrt(2057)*-1)))*1 - (sqrt(2057) + -1*sqrt(2057) + -4))**2*2 + -1).\nAnswer: 5632*sqrt(17) + 263788","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3\/4? (a) 2 (b) 0.3 (c) -0.1 (d) -2\/5 (e) -2\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(1\/13)\/t*t\/(t**(-2\/51)\/t)*t assuming t is positive.\nAnswer: t**(1403\/663)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out -8.6 * 0.8.\nAnswer: -6.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 18030202200 to the nearest one million.\nAnswer: 18030000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1282338 - 476694 + 207400 = -37*j. What is the tens digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 - (-2)\/((-76)\/118)?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 57\/5, 13, 29, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u = -r, -4*u + 9 = -4*r - 7. Solve 0 = 3*j - 2*b + 4, -2*j + 5*b + 11 = -u for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 26 and 23762.\nAnswer: 308906","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2510\/10*(0 + 1). What is the second derivative of 3*f + 251*f**3 - r*f**3 + 56*f**4 wrt f?\nAnswer: 672*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 133760946 a multiple of 1474?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4361 + 13085\/3. Which is the third smallest value? (a) 28.3 (b) -3 (c) z (d) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -13 + -35 + -5 + 15.\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**6\/r**(-1\/7))\/(r**(-7)\/(r\/((r\/(r*r**(5\/7)))\/r*r*r))) assuming r is positive.\nAnswer: r**(97\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*r - 9, -2*l + 4*r = 3*l - 708. Let f = 77 + -122. List the prime factors of (-5)\/2*l\/f.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 12*o**3 - 63*o**2 + 11*o + 17. What is r(5)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -9 + -21. Let t be ((-99)\/n + -3)*-2. Sort t, -2\/15, -4 in decreasing order.\nAnswer: -2\/15, t, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 262064 and 141504.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 + 5 = 3*r. Let w(o) = 5 - 26 - o**2 - 16*o + 0*o**2 - 21 + 8. Let u be w(-13). Solve r = -2*g - u for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -t - 3*t + 2*t.\nAnswer: -2*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 - 14 = -2*i + 5*m, 0 = -5*i - 3*m + 12. Let f = -1 + i. Suppose 0 = -3*y + 2*y - 4*w + 1155, -2*w + f = 0. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = t + 2*i - 8, 4*i + i = -t + 20 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*(q*q*(q\/(q**(2\/47)\/q)*q)\/q)\/q)**(-27)\/(((q**(5\/6)\/q)\/q*q)\/(q*q*q**(-1\/5)*q)) assuming q is positive.\nAnswer: q**(-146477\/1410)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/(-2)*180\/(-405)\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 299084075?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1682 + 1687. Which is the closest to -0.4? (a) 2\/31 (b) u (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 6772 and 22?\nAnswer: 74492","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-79)\/(-7) + 22\/(-77). Suppose 0 = -g - 3*g + 2*v + 12, g + 3*v + n = 0. Which is smaller: g or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = l - 1091 + 1101 for l.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 81\/162*(-15)\/((-135)\/198)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u**3\/2 + 949*u**2 + 11357*u\/2 + 4730 = 0. What is u?\nAnswer: -1892, -5, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) be the first derivative of 2*a**5\/15 - 5*a**2 - 2. Let s(k) be the second derivative of j(k). Let x(u) = -4*u. What is x(s(p))?\nAnswer: -32*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 6 or -22.4?\nAnswer: -22.4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -1*2\/(7\/(21\/(-6))). Sort 5, 3, a, 0 in decreasing order.\nAnswer: 5, 3, a, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.47 - -21.47. Let f = -19 + a. What is the nearest to 0 in 1\/4, -1, f?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 160*y + 2*c - 36 = 165*y, c = 3*y + 20 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = i**2 + 4*i + 1. Let w(h) = 4*h. Let s(v) = 4*t(v) - 4*w(v). Let o(r) = -11*r**2 - 11. What is 3*o(q) + 8*s(q)?\nAnswer: -q**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -5809.11 to the nearest one thousand.\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -193774 (base 11) to base 2\nAnswer: -1001000101100001101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) 2\/17 (b) -1\/4 (c) 1\/4 (d) -9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 651055 to the power of 1\/2, to the nearest integer?\nAnswer: 807","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:39 AM and 3:43 PM?\nAnswer: 664","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1868948?\nAnswer: 2, 467237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 - 11 = -4*p. Suppose 0 = p*g - 3*m + 7, 3*g = -2*m + 22. Solve 0 = q + g*q + 20 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence foo when three letters picked without replacement from {f: 5, o: 2, v: 2, q: 9}.\nAnswer: 5\/2448","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 111125*z - 105391 wrt z.\nAnswer: 111125","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -l**3 + 3*l**2 + l - 1. Let w be c(3). Let n be 9 + -8 - 27\/(-9). Is w > n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -i**2 - 21*i - 12. Let c be w(-20). Suppose c = -y + 3*y. Solve 0*v - y = -2*v for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2998.582629 to 0 decimal places.\nAnswer: -2999","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -8*t**2 + 2*t + 3. Let g be z(-3). Let l = g + 143. What is the remainder when l is divided by 23?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -2, 3, 23, 10, -372.\nAnswer: -372, -2, -1, 3, 10, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vovv when four letters picked without replacement from {o: 2, v: 17}.\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -i - 3*o + 6, -3*i - 3*o = -4*o - 8. Suppose 0 = 5*p + c - 80, c = -p + 4*c. Solve i*f + p = 6*f for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-25)\/(-15))\/(35\/14)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 132, 217, 249 in increasing order.\nAnswer: 3, 132, 217, 249","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -94055 divided by 11.\nAnswer: -94055\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 5*b = 4*b - 12, -4*b = -5*y + 15. Suppose 9*q = 6*q - y. Let u be ((-2)\/5)\/(q*1). What is the nearest to -0.1 in -2\/7, u, 0.3?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-3639)\/(-11) + (-2)\/(-11) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 0*o - 8*o = -6655. Calculate the remainder when o is divided by 19.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10281*v**2 + 10280*v**2 - 1 + 0 + 1 + 2829*v.\nAnswer: -v**2 + 2829*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 137 + z**2 + 157 - 4*z**4 - 231 wrt z.\nAnswer: -16*z**3 + 2*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5238755*h**4 - 2*h**2 - 49928*h + 14 wrt h?\nAnswer: -125730120*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 173569?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/4*72\/27?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*d - 2*d**2 - 3*d)*(133*d**2 - 133*d**2 + d - 89*d**3).\nAnswer: 178*d**5 - 2*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-50 + 54 - 123)*(-4 - 2*y + 4)*(6 - 3 - 1).\nAnswer: 476*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -6, 4\/5, -5, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -3251609, -6503215, -9754821, -13006427, -16258033?\n\"Answer: -3251606*q - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 2 - 2 - 17*p**2. Let d(q) = -23*q**2 + 5. Let r(b) = 10*b**2 - 2. Let v(z) = 2*d(z) + 5*r(z). Calculate s(v(h)).\nAnswer: -272*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -5 (b) -3\/2 (c) -0.7 (d) -25 (e) 6478.8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -373.79 - 3.\nAnswer: -376.79","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -569, -1168, -1831, -2582, -3445, -4444, -5603, -6946?\nAnswer: -8497","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6566359 (base 10) to base 15.\nAnswer: -89a8c4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 6e9cfa (base 16) to base 6\nAnswer: 415212510","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nk when two letters picked without replacement from {u: 3, k: 1, c: 1, n: 3, d: 2, j: 1}.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.1 - -0.402.\nAnswer: -0.698","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*h - 55 - 43 = 3*d - 23, -d = -h - 0 - 3 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 4886 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a litre in millilitres?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Total of -38340506854 and 5.\nAnswer: -38340506849","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(-6*1*sqrt(209) + sqrt(209)))\/(3*sqrt(99)\/(1*sqrt(9))).\nAnswer: 10*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2577, 6, 9, 0.1, 0.06, 0.2, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.076 - -0.0760063. Round d to 6 dps.\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t*(t\/(t*t\/(t*t**(12\/11)*t)))\/t)\/t)\/(t\/t**49*t))\/(t**(-2)*t*(t*t**50*t*t)\/t) assuming t is positive.\nAnswer: t**(-32\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 118723020 - 530393020 = 14*r. What is r rounded to the nearest one million?\nAnswer: -29000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 127 and -1.\nAnswer: 126","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1324?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -30 (base 11) to base 13.\nAnswer: -27","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 24 = -0*d - c, 2*d - 24 = 5*c. Let b = 223 - 193. Suppose b = 27*t - 26*t. Calculate the least common multiple of t and d.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wwmhzwwiwihwihiww. What is prob of picking 2 h and 1 z?\nAnswer: 3\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 15124121?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) be the third derivative of y**9\/252 + 3*y**8\/112 + 13*y**5\/60 - y**4\/12 + 49*y**2. Find the third derivative of i(v) wrt v.\nAnswer: 240*v**3 + 540*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**17*h*h)\/(h\/(h*h*h**(7\/8)*h)))\/(h**(-1\/19)\/(h**(-1\/31)*h)) assuming h is positive.\nAnswer: h**(107883\/4712)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -91 + 1913\/21. Let r(j) be the first derivative of 0*j + 1\/7*j**2 - 2\/35*j**5 + 2 + w*j**3 - 1\/14*j**4. Factor r(z).\nAnswer: -2*z*(z - 1)*(z + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -44 (b) -35 (c) -22 (d) 2 (e) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -29\/1258 + -7\/74. Let y = 3 - 2.5. Let j = 4.703 - 4.703. Which is the closest to -2? (a) y (b) j (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 530 minutes after 2:57 PM?\nAnswer: 11:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5870 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -i - 2. Let c(n) = 6 + 4 + 4*n - 3 - n. Give 2*c(q) + 7*j(q).\nAnswer: -q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -9*f**2 - 26*f + 111. Give k(6).\nAnswer: -369","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = l + 25. Let t be (-4)\/10*(-2 - l). Let i be 1\/(2 + 20\/t). Sort i, 2\/9, -0.4 in increasing order.\nAnswer: i, -0.4, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = t**3 - 42*t**2 + 32*t + 410. Let d be i(41). Solve -16*h - d = 23 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 76 is divided by 39.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -13607 - -13775. Suppose 172 = -3*r + 508. What is the greatest common factor of n and r?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -131\/258 and -1\/165?\nAnswer: 14190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 4*p**2 - 9*p + 3. Suppose -4*w = -3*w - 3. Let x(l) = -3*l**2 + 8*l - 4. Let g(c) = w*x(c) + 2*k(c). Let a = -13 + 17. Determine g(a).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 220 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:51 PM and 11:54 PM?\nAnswer: 303","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1515 = 154*i + 177 + 2 for i.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 365226 is divided by 5451?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find v such that v**3\/3 - 253226*v**2 + 759677*v\/3 = 0.\nAnswer: 0, 1, 759677","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -63*r**2 - 5*r - 4. Let x = 840 + -845. Let k(f) = 70*f**2 + 5*f + 4. Let h(c) = x*k(c) - 4*s(c). What is the second derivative of h(n) wrt n?\nAnswer: -196","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*h + 2*h - h + h - 3*h + h + (-3*h + h - 3*h)*(4 - 4 + 2) + 1 - h - 1 + (h - 4 + 4)*(7 - 2 - 3).\nAnswer: -12*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 2327913.3 months in centuries?\nAnswer: 1939.92775","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5\/3, 0, -1, 3, -16\/33, 2\/9, 10 in descending order.\nAnswer: 10, 3, 5\/3, 2\/9, 0, -16\/33, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-4)\/6)\/(5\/(-15)). Suppose u + 1329 = 5*x, 4*x - a*u + 63 = 1125. Calculate the remainder when x is divided by 90.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 4 = 0, 2*m - 4 + 12 = -3*j. Let x(s) be the first derivative of 0*s**3 + s**2 - 1\/4*s**4 + j*s - 1. Find the second derivative of x(v) wrt v.\nAnswer: -6*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:41 AM and 8:05 PM?\nAnswer: 504","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5.3 - 5. Let x = -10 - -13. Which is the third smallest value? (a) f (b) x (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1 (b) -7\/3 (c) 0.7 (d) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -0.07164 times 0.5\nAnswer: -0.03582","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*((sqrt(20)*4)\/sqrt(10) + -1) + 3*((sqrt(2) - sqrt(32)*1) + (-2*sqrt(18))\/sqrt(9)).\nAnswer: -5 + 5*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(-17)*t\/(t\/t**13) assuming t is positive.\nAnswer: t**(-4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Determine o, given that -2*o**3 + 11370*o**2 - 541504*o + 1984224 = 0.\nAnswer: 4, 44, 5637","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 984.\nAnswer: 2, 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (40 - 2 - (-52 + 75)) + (-3 - -2)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9 - -7) + 7\/7?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00406254387 rounded to 4 dps?\nAnswer: 0.0041","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2237902?\nAnswer: 2, 1118951","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -1115, -16, 3 in decreasing order.\nAnswer: 3, -16, -1115","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/4, 0.3, -0.1, -65, -3.\nAnswer: -65, -3, -3\/4, -0.1, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3743.75 (b) 0.4 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -g**3 + 5*g**2 + g + 67. Give j(8).\nAnswer: -117","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.4 + -836020550195.\nAnswer: -836020550195.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 8*t**2 - 20*t + 11. Let h be w(2). Suppose 10 = 2*a + 3*a. Put h, 0.1, -3\/2, a in decreasing order.\nAnswer: h, a, 0.1, -3\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -37 + 37.0000015. What is q rounded to 7 decimal places?\nAnswer: 0.0000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1da0b2 - 5?\nAnswer: -1da0b7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*s**2 - s**2 + 3*s**2 + (-5 + 1 + 3)*(-s**2 + 2*s - 2*s) + 3*s**2 + 0*s**2 - 5*s**2 - 99*s**2 + 298*s**2 - 153*s**2.\nAnswer: 47*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -186 bigger than -213?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 4 + 6 - 1 - 3 + 6 - 3 + 3 + 1 + (-2 + 0 - 1)*(-4 - 1 + 3))*(-4 - 2*m**3 + 4).\nAnswer: -26*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s*s**(-8)*s*s*s*s\/s**(28\/9) assuming s is positive.\nAnswer: s**(-55\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -1, -50566134.\nAnswer: -50566134, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -5*z**2 - 24*z + 128. Determine b(-6).\nAnswer: 92","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -5, 0.4797, 5, -3204, -2\/7?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*v = 66 - 53 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -h**2 - 10*h - 7. Let m be 15\/5 + -1 + -11. Let p be j(m). Let c - 4\/5*c**p - 2\/5 + 1\/5*c**3 = 0. Calculate c.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 5 from -166822.\nAnswer: -166827","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33*n + 34*n = -4*d - 7, -3*d + 4*n = 10 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 10867?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2808 divided by -9.\nAnswer: 312","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 736*f - 695*f - 328 = 0 for f.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2\/(-6) - (-2)\/6. Suppose o = 3*f - 6, -5*f + 74 = 4*m + 28. Is 3 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t = -4 - 8. Suppose m + 1 = t. Suppose 4 = -0*b + m*b. What are the prime factors of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 6.3 - -0.7. Let f = 24 - t. Let w = -17.0000011 + f. Round w to seven dps.\nAnswer: -0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 10107?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by 2957.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 117*u**2 - 690*u + 885. Give z(4).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (0 + 2)*(-1 + 2823\/(-6)). Is -943 at most w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -3\/1135?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*h - 3*h - 2*h + h.\nAnswer: -2*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zzzzzazzlalzzalzzz. What is prob of picking 1 l, 1 a, and 2 z?\nAnswer: 33\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 27 (b) 0.5 (c) -3 (d) -7 (e) 103 (f) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c and 1 m when three letters picked without replacement from crnmmcfnngcrccm?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-244)\/8*13\/2. Let h = -193 - m. Find the common denominator of h and 49\/62.\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 1 n when two letters picked without replacement from {s: 1, n: 13, h: 3, y: 2}?\nAnswer: 13\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 1 + 1 + (4 + 1 - 4)*(-3 + 7 - 2))*(2*y**2 - 5*y**2 + 4*y**2)*(-6 + 4 + 3).\nAnswer: 4*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2215 and 779520520.\nAnswer: 2215","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 191 is divided by 39?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*j**2\/7 + 117972*j\/7 + 117970\/7.\nAnswer: 2*(j + 1)*(j + 58985)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 5376*r**2 + 12*r + 4. What is the units digit of b(-1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = l - 3. Let z(h) = h - 3. Let c(j) = -3*r(j) + 4*z(j). What is the units digit of c(7)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1203 is divided by 173.\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide 39 by 846.\nAnswer: 13\/282","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 44200267 to the power of 1\/2, to the nearest integer?\nAnswer: 6648","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 101011111101111 (base 2) to base 3.\nAnswer: 1010212202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.01 (b) 5 (c) 4\/7 (d) -2 (e) -2\/17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -194 - -192.91. Let a = 1.089937 + m. What is a rounded to 5 dps?\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -25*c**3*d**3*x - 7*c**3*d + 1545*c**2*d**3 - 90*c*d**2 + 27507*d**3*x wrt x.\nAnswer: -25*c**3*d**3 + 27507*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) be the third derivative of 41*r**4\/3 + 359*r**3 + 132*r**2 + 5. What is the derivative of o(b) wrt b?\nAnswer: 328","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1450.76 - -1451. Which is the smallest value? (a) p (b) -0.8 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 21820699?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 0 - -1 - (2 + -51). Suppose -2*g + f + 59 = 0, 3*g - 4*f - u - 46 = 0. Is g a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2115 + -2114. Which is bigger: 13\/279 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-24)\/12*3\/(-2).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 32200*t**2 + 32151*t**2 - 69 - 64346*t**2.\nAnswer: 5*t**2 - 69","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -18*b + 3. Determine n(2).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -97 + 282. Suppose q - 37 = -i - q, 5*i - 5*q - s = 0. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find x, given that 2*x**5\/7 + 166*x**4\/7 + 1438*x**3\/7 - 21526*x**2\/7 - 187440*x\/7 = 0.\nAnswer: -71, -15, -8, 0, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -16 (base 8) in base 7?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add -2 and -91653706.\nAnswer: -91653708","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.467509665 to two dps.\nAnswer: -0.47","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 76\/57 + 14\/(-6). What is the closest to -1 in 0.2, i, 1?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**4*g**(1\/4)\/g*g*g*g**(-1)*g*g*g\/g**0 assuming g is positive.\nAnswer: g**(29\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -421736*f**3*p**2 - 2*f**3*p + 21251*f**3 - 18*f**2*p**2 - 7*f*p + 2*p wrt p.\nAnswer: -843472*f**3 - 36*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*((sqrt(108) + (sqrt(108) + 1 - sqrt(108)) + 3 - sqrt(108)*1*2)*-1)**2*2*-6.\nAnswer: -2304*sqrt(3) + 5952","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -g + 6*g**2 + 20*g**2 - 5*g**2 + (3*g + 11*g + 10*g)*(-2*g - 3*g + 6*g) + 2*g + 2*g**2 - 2*g - 3*g**2 + 4*g**2 + 0*g**2.\nAnswer: 48*g**2 - g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) be the second derivative of -11*q**5\/20 - 2*q**4\/3 - 2*q**3 - 14*q**2 - 115*q. Is z(-9) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1.827 + 1.173. Which is the nearest to -1? (a) p (b) 0 (c) -0.04\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 3 = b, 2 = -b - 2*b + 2*m. Suppose -4*c - c + 25 = b. Find the second derivative of -8*k**5 + 15*k**c - 8*k**5 + 28*k - 11*k**5 wrt k.\nAnswer: -240*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-8)\/(-48) + 1234\/12 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y when two letters picked without replacement from {w: 2, y: 4}.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1836*z**4 - 2*z**3 + 17*z**2 + 1320 wrt z.\nAnswer: -44064*z - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:52 PM and 4:24 AM?\nAnswer: 572","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 46255\/3*t - 24389\/3 + 2\/3*t**4 + 1653*t**2 + 173\/3*t**3 = 0.\nAnswer: -29, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h = -s - 95, -38 = -4*h + 2*h + 2*s. Let f = -3 - -4. Let v(j) = 76*j**3 - 2*j**2 + j. Calculate the remainder when v(f) is divided by h.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q = -3*d + 13 + 9, 2*d - 4*q = 0. Suppose 4*j - 6*r + 4*r = 32, -3*r + 6 = 0. Let p(u) = -2*u + 5. Let z(k) = k - 2. Give d*p(f) + j*z(f).\nAnswer: f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*c + 121269 = 24*c - 346671. What is the smallest common multiple of c and 8?\nAnswer: 17016","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 121 a factor of 11544019?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 59 + -37. Does 20 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:41 AM and 10:44 AM?\nAnswer: 243","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9)\/42*5\/((-15)\/(-2)).\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -182, -381, -590, -815, -1062, -1337?\n\"Answer: -s**3 + s**2 - 195*s + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 156 = 4*f + 8*f. Suppose 0 = -f*v + 7 + 6. Calculate the greatest common factor of v and 11.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -12*v**2 + 2255*v - 105895. Give b(92).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -7 + 7. Suppose s = -4*r + 56 - 20. What is the highest common factor of r and 63?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 12, s: 3}. What is prob of sequence zz?\nAnswer: 22\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 5*s = -93, 2*n + 0*s = -4*s - 66. Let z = -23 - n. Solve 6*u - z*u = 10 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 23331 + -16188. What is the hundreds digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -105271484 and 5.\nAnswer: -105271479","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 7424 and 8567528.\nAnswer: 232","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(119) - sqrt(119)*-2) - (-1*(sqrt(119) - (sqrt(119)*-1 + sqrt(119))) - sqrt(119)))\/(sqrt(700)*-1 - sqrt(700) - (sqrt(28)\/sqrt(4) + sqrt(7))*5).\nAnswer: -2*sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -23, 3, 148, -0.4?\nAnswer: 148","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 809699.\nAnswer: 11, 73609","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-7)\/(-14) - 2\/(-4) - 1. Solve 3*o + 4*l - 4 + p = 0, -l = -4*o + 18 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = -5*b - 7 - 0, -b + 5 = 2*k. What is the closest to 2 in 0.1, k, -2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 + 1 = 2*z. Suppose p = -z*g + 2, 0*g + 2*p + 10 = g. Let n be 59*(-3)\/(-6)*g. Round n to the nearest ten.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2 + -1 + 14\/6)*3\/6. What is the fourth biggest value in w, 0.4, -2, -425, 2\/13?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 195611806?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1471 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: Evaluate (9\/8)\/(30\/(-35)*35\/40).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -8, -2, -1\/2, 4\/9?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 315467, 630909, 946327, 1261709, 1577043, 1892317, 2207519, 2522637?\nAnswer: 2837659","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*w**4 + 70*w**3 - 220*w**2 + 200*w.\nAnswer: -5*w*(w - 10)*(w - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -20 (base 4) to base 13\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*c - 82*c + 18*c - 54*c)*(-5*c**2 + 7*c**2 - 23*c**2) to the form q + r*c + l*c**2 + w*c**3 and give w.\nAnswer: 2541","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-5 - 105\/(-25))*(-15)\/6. Let r be 1 - (5 + 3\/(-1)). Let p be 5 - r*(2 + -3). Solve p*o + 5*c = -20, -o - b*c = -0*o + 5 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -183706, -183717, -183728, -183739, -183750?\n\"Answer: -11*p - 183695","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 3 + 2)*(-1829*m**2 - 2096*m**2 + 5206*m**2).\nAnswer: 5124*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -736*f + 19. Let w(h) = -3*h**3 - 39*h**2 - 2*h - 27. Let g be w(-13). What is the tens digit of r(g)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 27\/18 + (-12154)\/100. Let c = 120 + v. Let p = -79\/725 - c. Are p and -0.1 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.1 and -1254.11.\nAnswer: 125.411","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -4*v**3 + 1193*v**2 - 6153*v + 35. Give o(293).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 99 + -83. What is the remainder when 78 is divided by h?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1111 (base 2) to base 6\nAnswer: -23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -5*l**2 - 41*l + 1187. Let j be b(-34). Which is smaller: -3198 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 55857000.\nAnswer: 2, 3, 5, 43, 433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -131 + 251 = -2*z. Are -60 and z non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 7, k: 6, n: 1}. Give prob of sequence vv.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tuvhtthttkihutthittk. What is prob of picking 1 k and 1 i?\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = y**3 - 3*y**2 + y + 1. Let s be j(2). Let v be (26\/(-325))\/(476\/(-85)). Which is bigger: v or s?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -130*g + 180 + 82 - 2. Let q(r) be the third derivative of r**5\/20 - 6*r**2. Determine q(g).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -144 - -122. Let j = g - -43. Which is smaller: j or 282\/13?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 309 is divided by 98.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3496 = 126*p - 3056. What is the greatest common factor of 1378 and p?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -108340143 > -108340146?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3 + 8. Let o be (-36)\/(-42)*(-2 - c). Let w = o - -9. What is the greatest common factor of w and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10)\/2*18*5\/(-150)*-4?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -6*o**3 - 548*o**2 - 716*o + 193. What is n(-90)?\nAnswer: -167","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 37*q**2 + 259*q - 299. What is d(-8)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 15\/3 + 2 + -4. What is the tens digit of 6\/((-51)\/(-15) - d)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3344)\/342)\/(48\/216).\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2211021102 (base 3) to base 13.\nAnswer: 1c403","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 1150575?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 34, -3, -1, 6 in decreasing order.\nAnswer: 34, 6, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q**3\/9 - 8*q**2\/3 + 2*q + 440\/9 = 0.\nAnswer: -11, -5, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-20)\/(-110) - ((-270)\/(-308))\/5. Suppose 31*j = 29*j - 2. Which is greater: y or j?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 0.4, 1297972\/5, -0.1 in ascending order.\nAnswer: -0.1, 0.4, 4, 1297972\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3512?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-177)\/(-85) + 4\/(-2). Let w = 2577\/1360 - r. Let c = -5339\/340 + 437\/34. What is the common denominator of w and c?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1\/(-1)*(-376)\/4. Suppose -3*y = -5*y + i. Let t = -11 + y. Is 18 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1775 - -1776 - (34 + -2).\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:51 PM and 12:06 AM?\nAnswer: 135","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 61\/175 and -26\/2945.\nAnswer: 103075","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6858?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -760 = -5*i - 5*j, j = -2*i + 151 + 156. What is the tens digit of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -247\/8 - -31. Let b = 0.2 - 0.3. What is the closest to b in 2\/3, 2, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1150487?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/3*18507\/1194.\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -29*h. Let g(i) be the third derivative of -i**8\/20160 - 13*i**5\/30 + 11*i**2. Let j(l) be the third derivative of g(l). Give b(j(w)).\nAnswer: 29*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 54*d**5\/17 - 7298258*d**4\/17 + 246598609500*d**3\/17 - 228325248192*d**2\/17 - 18266063104*d\/17 = 0 for d.\nAnswer: -2\/27, 0, 1, 67576","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 389808?\nAnswer: 2, 3, 2707","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -43 (base 8) in base 14?\nAnswer: -27","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -97\/4164705 and 33\/3239215.\nAnswer: 29152935","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*r**4 - 648*r**3 + 25564*r**2 + 648*r - 25568 = 0. What is r?\nAnswer: -1, 1, 68, 94","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 26, -2, -778 in ascending order.\nAnswer: -778, -2, 4, 26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = a**3 - 10*a**2 - 2*a + 22. Let o be g(10). Let b(j) = j**2 - 5*j**2 + 3*j**o. Let s(z) = -12*z**2. Determine s(b(p)).\nAnswer: -12*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 6 + -5.96. Let u = p - 0.0252. What is u rounded to three decimal places?\nAnswer: 0.015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*p = 8*p + 50. Is 466*p - (-6)\/4*2 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 1776014*z + 1. Let f be u(-1). Let x(b) = -22389*b**2 + 3*b + 9. Let q be x(-6). Let s = q - f. Round s to the nearest 100000.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 81 - 60. Put p, -1\/8, 4\/7 in decreasing order.\nAnswer: p, 4\/7, -1\/8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-2\/15)\/s*s*s\/s**(-3\/7)*s*s**(-2\/3)*s**(2\/7)\/s)\/(((s\/(s*s**(-2)\/s))\/s**(-2\/13))\/(s**(-1)*s**(-7))) assuming s is positive.\nAnswer: s**(-4659\/455)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 128485 is divided by 70.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -22042330 + 105?\nAnswer: -22042221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 4*n - 2. What is the lowest common multiple of 5 and l(2)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 752510?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -2*o**2 - 85*o - 438. Let s be b(-6). Let r(m) be the first derivative of 3 - 4*m**2 - 22\/3*m**3 + s*m. What is the second derivative of r(l) wrt l?\nAnswer: -44","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11183 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -18 + 0. Let z(p) = -p + 6. What is the remainder when z(3) is divided by 7\/2 - v\/(-12)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = x**3 + 3*x**2 - 3. Let g be d(-3). Let f = 11 + -17. Let k = 3 + f. Do k and g have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g\/(g\/g**(1\/15))*g)\/g**3)**11 assuming g is positive.\nAnswer: g**(-154\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -23 - -33. Let g be (-40)\/w - (2 - 9). Put -4, 4, g in decreasing order.\nAnswer: 4, g, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h**3 - 2136*h**2 + 377481*h + 379620 = 0. Calculate h.\nAnswer: -1, 333, 380","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(2\/17))**(-34)*(t**(3\/2))**(5\/17) assuming t is positive.\nAnswer: t**(-121\/34)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 41 and (4*(-50)\/4)\/(4 + 3).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1205292 and 4764?\nAnswer: 1205292","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o - 4*o - 2*h = -24, 5*o - 2*h - 12 = 0. Let q(n) = -n**2 - 6. Let a(t) = -4 + 1 + 2. Let v(x) = o*a(x) - q(x). Differentiate v(y) wrt y.\nAnswer: 2*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -460, 12\/17, -0.3, -3?\nAnswer: -460","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33*d - 3995 = -38*d. Suppose 34*k - d = 935. What is the greatest common factor of 187 and k?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -665\/2444?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + (-5 - 0) + -173 + 166.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-28)\/70 - 24\/(-10). Suppose 2*i - 26 = l*k - 6*k, i - 5 = 0. What is the third derivative of 43*f**k + 2*f**3 + 25*f**2 - 17*f**4 - 2*f**3 wrt f?\nAnswer: 624*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 972175810.\nAnswer: 2, 5, 31, 1669, 1879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand -a**4 + 2 - 2 + (2*a + a - a)*(2*a + a**3 - 2*a) - 9665*a + 111*a**4 + 9665*a + 5*a**4 - a**4 - 3*a**4.\nAnswer: 113*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -155 - -218. Calculate the remainder when u is divided by 35.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) be the first derivative of -2*s**3\/3 - 2. Let d(t) = t**2 - t - 1. Let q(l) = -4*l**2 + 6*l + 6. Let z(p) = -6*d(p) - q(p). Calculate z(j(f)).\nAnswer: -8*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 3*j. Let k(w) be the third derivative of 44*w**5\/15 + w**2 - 5*w. Determine k(o(x)).\nAnswer: 1584*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 30537606.\nAnswer: 2, 3, 11, 23, 20117","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 0\/2 - (0 + 5 + 11138). Let w = a - -51143. What is w rounded to the nearest ten thousand?\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 divided by 4?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 4}. What is prob of sequence pppp?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 4, 3\/4, -0.3, 25?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 160?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 17 (b) 0.8 (c) 1 (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -16.4 + -708236?\nAnswer: -708252.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 8 + -10. Let u(w) be the third derivative of w**4\/12 + 2*w**3\/3 + 2*w**2 + 438. Let m(j) = -5 - 3 - 2*j - 2*j - 1. Determine n*m(k) - 5*u(k).\nAnswer: -2*k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 36 + 10. Suppose -2*x = -g - 42. What is the tens digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -287 - -1813. What is the remainder when x is divided by 51?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 201231 - -3321?\nAnswer: 211212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -55*h + 6. Let f(o) = -o. Give f(s(b)).\nAnswer: 55*b - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 152 - 25*n**2 - 82 + 103*n**2 - 73 as b*n**2 + y*n + t and give b.\nAnswer: 78","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7196243.\nAnswer: 7196243","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((j*j**(-5\/2))**(-24))**(-1\/5))**9)**15 assuming j is positive.\nAnswer: j**(-972)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -7115 + 206?\nAnswer: -6909","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -14 (base 8) to base 10.\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 48 minutes before 7:45 AM?\nAnswer: 6:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 10 - 1. Let l = 0.02 - 0.12. Which is smaller: y or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 337*l**5 - 130*l**5 - 131*l**5 + (-3 - 1 + 5)*(-3 + 5*l**5 + 3) + 2*l - 4*l**2 + 4*l**2 + 5*l**5.\nAnswer: 86*l**5 + 2*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -249*a - 1249. Let t be x(-5). Sort 16, t, 25 in decreasing order.\nAnswer: 25, 16, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 3, v: 3, g: 4, q: 1}. Give prob of sequence ww.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 290 and 148769710?\nAnswer: 290","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.24 + 0.06. Let n = 82.9 + -82.7. What is the closest to a in 1, n, 0?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 6137 and 7880486.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1553924?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 34\/5 of a centimeter in millimeters?\nAnswer: 68","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -2*x**2 + 56*x + 1059. Determine n(-13).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*g + 2*g - 4*k = -30, -13*k = g - 90 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1131301 is divided by 671.\nAnswer: 666","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 456 minutes before 8:05 PM?\nAnswer: 12:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1 (b) 2\/5 (c) 16\/7 (d) 16 (e) -21 (f) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.4057372 nanometers to millimeters.\nAnswer: 0.0000004057372","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2340902 to the power of 1\/3, to the nearest integer?\nAnswer: 133","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1 and -13325417.\nAnswer: 13325417","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -131, -268, -405, -542, -679?\n\"Answer: -137*m + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -64\/3 - 4*w**2 + 16*w + 1\/3*w**3.\nAnswer: (w - 4)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.1 * -33.1478.\nAnswer: -36.46258","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 98647996135 and 89?\nAnswer: 98647996046","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -11? (a) -0.05 (b) 2 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 4 - 10 - 6*-1. Suppose 8*d = 4*s + 10*d + 42, v = -s - 4*d. Sort s, -1, 1, 0 in decreasing order.\nAnswer: 1, 0, -1, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5286901765?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 192199 a multiple of 374?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a**(-2\/13))\/(a*a**(1\/33)))\/(a**(24\/5)\/(a**(2\/23)\/a)) assuming a is positive.\nAnswer: a**(-290938\/49335)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/p**(-5))\/p)\/(p**2*p)*(p**(-1\/3)\/p)\/(p\/(p*p\/(p\/p**3)))*((p*(p*(p\/p**10)\/p)\/p)\/p**(-4\/9))**(-1\/86) assuming p is positive.\nAnswer: p**(2915\/774)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.2 from -514644.6099.\nAnswer: -514644.4099","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 + 1 - 3)*(-3*b + 3*b + 2*b) - 1 + 1 - b)*(-2 + 3 + 1)*(8 + 0 + 4).\nAnswer: -120*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Determine q so that 4*q**2\/7 + 39176*q\/7 - 78368\/7 = 0.\nAnswer: -9796, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o*o**(1\/8)*o**(-1\/3))\/(((o**(-3\/7)*o)\/o)\/o*o**(-1\/10)\/o))**(-41))**(-4\/15) assuming o is positive.\nAnswer: o**(114349\/3150)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-83 - -87) + (-11 - 0) + (4 - 2)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 2, -1\/25, 2\/5?\nAnswer: -1\/25","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 800*h**3 - 113*h**3 - 103*h**3 + 647*h**3 + 294*h**3.\nAnswer: 1525*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 324 is divided by 39?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -24 + 558. What is the units digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find v such that -v**5\/4 - 60273*v**4\/4 - 908238767*v**3\/4 - 908118223*v**2\/4 + 227059692*v + 227044624 = 0.\nAnswer: -30136, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 3, 0, 92, 64.\nAnswer: 0, 3, 4, 64, 92","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -1*(-8)\/60*-10\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -156 - -160. Suppose -j*d - 3*z = -658, -5*z + 488 = -15*d + 18*d. What is the tens digit of d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -277 - 10?\nAnswer: -307","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 16 = -2*f + 2*s, 0 = 4*f - s - 36. Let o(t) = -t**2 + 9*t - 3. Calculate the lowest common multiple of f and o(8).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-52)\/(-78))\/(8\/(-3))?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5 - 22) + -2 + -7 + 17?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 31 (b) 1 (c) 2\/3 (d) 2292\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2 + 16. Is 18 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 527491?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -35*k - 34*k - 34*k + 192*k - 3*k - 42*k - 29*k.\nAnswer: 15*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 62746004, 125492003, 188238002?\n\"Answer: 62745999*m + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4 and 298.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 512 and 1728?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 8*u**4 + 125*u**3 - 2093*u**2 - 2250*u + 5. Let x(b) = 4*b**4 + 62*b**3 - 1046*b**2 - 1120*b + 2. Let z(v) = -2*a(v) + 5*x(v). Factor z(g).\nAnswer: 4*g*(g - 11)*(g + 1)*(g + 25)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -19*s**3 - 2*s**2 - 8*s**3 - 9*s**3 + 11*s**3 as p*s**3 + x + j*s**2 + y*s and give p.\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2801\/3 - -959. Calculate the common denominator of 31\/12 and r.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (26\/78)\/((-2)\/(-354)). Suppose 3*o + k = 311. List the prime factors of o.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -19, 4\/21, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21917*q**3 - 72716*q**3 - 24721*q**3.\nAnswer: -119354*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 491297 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2108116?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 38608?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29655*r + 29640*r = -7729500. What is r rounded to the nearest one hundred thousand?\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 7\/(7\/(-3)) + 1 + -505998. What is x rounded to the nearest 100000?\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1 - 3. Let p be j\/((-3)\/((-24)\/(-28))). Let -4\/7*d**2 - 2\/7*d + 2\/7*d**3 + p = 0. Calculate d.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 184, 187, 190, 193, 196, 199?\n\"Answer: 3*b + 181","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c*c**(-7\/4)*c)\/c**(-1\/7))**(3\/13))**(-18\/11) assuming c is positive.\nAnswer: c**(-27\/182)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -c**3 + 12*c**2 - 3*c - 4. Let x be z(5). Let d be (x\/(-130))\/((-4)\/310). Let y = 204 - d. What is the tens digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3.1 + -15.1. Sort 3, -0.3, a in decreasing order.\nAnswer: 3, -0.3, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 2*j**2 - 85*j + 343. Give k(38).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (4 + -1 + -2)*0. Find the common denominator of (-14)\/(q - (-16)\/(-22)) and -53\/8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*i - 5*r = 127 + 94, 24*i - 23*i - r = 33 for i.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -11*o**4 - 10*o + 1 + 4*o**3 + 12*o - 3*o**3 to the form k*o**4 + z*o + w + v*o**2 + y*o**3 and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -n**2 + 2331*n - 271613. Determine z(123).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 53103690.\nAnswer: 2, 3, 5, 590041","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*u**6 + 17*u**4 - 6*u**2?\nAnswer: -360*u**3 + 408*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 99959 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-13 - -19) + (-1 - 1) + 1.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = -2*g - g - 561, 3*j = 4*g + 1683. Suppose j = 5*t + 196. Suppose -2*i + i = -t. Calculate the remainder when i is divided by 19.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) be the second derivative of 0*i**2 + 1\/6*i**4 + 0*i**5 - 5\/3*i**3 + 5*i + 32\/21*i**7 + 0*i**6 + 8. What is the third derivative of b(x) wrt x?\nAnswer: 3840*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/4? (a) 0.1 (b) 0.06 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3\/8 - (701570\/(-80) + 3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -1, -0.0209, 1 in descending order.\nAnswer: 5, 1, -0.0209, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3 - 4.6. Let z = 0.6 + u. What is the second smallest value in 4, z, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -44857 + 78656. What are the prime factors of m?\nAnswer: 73, 463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 6\/(-21) + 60\/14. Factor 1 + 2*y**2 - 1 + h*y.\nAnswer: 2*y*(y + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 32, 1, 2\/29, -1\/2, 3, -1 in descending order.\nAnswer: 32, 3, 1, 2\/29, -1\/2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -431 + 432. Let l be ((-9)\/6)\/((-2)\/(-4)). What is the units digit of 11*9 + 1*(s + l)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3264 - 3137. What is the remainder when 142 is divided by f?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hhk when three letters picked without replacement from ohqsokqhkoqhskoqsqkf.\nAnswer: 1\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = s**2 - 1. Let a be (1 - -2)*(0 - -2). Let f(p) = 13*p**2 - 1. Let h(v) = a*q(v) - f(v). Let w(i) = 8*i**2 + 6. Let k = 7 - 12. Give k*w(l) - 6*h(l).\nAnswer: 2*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -972594*p + 7780760. What is i(8)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 13 - c?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i*i*i**2\/i*i*i)\/i)**(-12\/19))**(8\/3)*(i\/i**(-2\/5))\/i*i\/i**(1\/3)*(i\/i**1)**(-21) assuming i is positive.\nAnswer: i**(-1616\/285)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -7.5 and -87?\nAnswer: 652.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 1\/4 of a microsecond?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7 - 27*p - 7 + 26*p.\nAnswer: -p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - i + 5 = 0, 8 = 4*x + i - 12. Let l = 1 + x. Suppose -4*d = -l*d + 156. List the prime factors of d.\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5\/3 + -31\/15. Let v = -5 + 4.1. Let w = v + 3.9. What is the nearest to -2\/3 in w, g, -4?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 24422100 and 1524.\nAnswer: 24422100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 11 in 69\/2, -1, 0, -3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 2161299, 4322685, 6484071?\n\"Answer: 2161386*i - 87","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 16*p - 4. Is 22 a factor of t(25)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -19*o - 8. Let z be h(-2). Let x(f) = 9*f + 38. What are the prime factors of x(z)?\nAnswer: 2, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11461.\nAnswer: 73, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -4*v - 7. Let p(y) = 3*y + 8. Give -4*b(u) - 3*p(u).\nAnswer: 7*u + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -403 to the nearest 10.\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 45798*h = 91666*h - 45799*h - 5175 for h.\nAnswer: 75","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 6711 - 40265\/6. Sort 3, -0.03, i, 0.4, -38 in ascending order.\nAnswer: -38, -0.03, i, 0.4, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1869\/4 (b) -5 (c) -13\/6 (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1336 divided by -1?\nAnswer: 1336","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10203*s = 10208*s + 15 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 508616 to the power of 1\/2, to the nearest integer?\nAnswer: 713","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 91597 and 3028?\nAnswer: 757","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 30? (a) 1 (b) -1\/24 (c) 5.2 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -42 (base 8) to base 7\nAnswer: -46","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 55 divided by 2?\nAnswer: 55\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = t**3 - 17*t**2 - 39*t + 20. Let i be z(19). Is 3\/188 <= i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -41993, -84431, -126869, -169307, -211745, -254183?\n\"Answer: -42438*w + 445","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 33*m**5*v**2 - m**4*v**3 + 35*m*v**3 + 2*m*v**2 + v**2 wrt m.\nAnswer: 660*m**3*v**2 - 12*m**2*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 4*w**3 + 2*w**2 - 4*w + 3. Suppose 3*x + 7 = -5*s, -3*x - 5 = -8*x. Let r(p) = -17*p**3 - 9*p**2 + 17*p - 12. Give s*r(g) - 9*v(g).\nAnswer: -2*g**3 + 2*g - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-75 + 77 - (0 - -6)) + -8.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2915469533?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -190, 2, 12, 8, 5, -3 in descending order.\nAnswer: 12, 8, 5, 2, -3, -190","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 3575133105 a multiple of 3785?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -11 + 11.4. Which is the biggest value? (a) -3\/8 (b) y (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -3256*t**3 - 2623*t**2 - 10*t + 395785164?\nAnswer: -9768*t**2 - 5246*t - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -349 (base 11) in base 9?\nAnswer: -512","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -70*y**2\/17 + 1948*y - 2838\/17.\nAnswer: -2*(y - 473)*(35*y - 3)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 142.3 + -142.1. Let t(x) = x**3 - 3*x + 3. Let m be t(2). What is the nearest to u in -4, m, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k**2 - 10436*k - 217392 = 0. What is k?\nAnswer: -2588, -21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4038?\nAnswer: 2, 3, 673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from infffnifrfuufffffuf. Give prob of picking 1 r and 1 f.\nAnswer: 11\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*d - 10 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -25 + 32 + (2 - 8) + (6 - -7) + -71.\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lafsfltlfllaffbflbta. Give prob of picking 1 a, 1 b, 1 l, and 1 f.\nAnswer: 72\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -4*a**2 + 3*a - 4. Give j(3).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 108.688663 to two decimal places.\nAnswer: 108.69","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -67617 = -2077*k + 2068*k. List the prime factors of k.\nAnswer: 11, 683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -45*c + 7371 = 306*c for c.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2848958 or 2848955?\nAnswer: 2848958","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -14*o - 127. Determine v(-9).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-415)\/4150)\/((-18)\/1215)?\nAnswer: 27\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 18053 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10010 - -2?\nAnswer: -10001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 178102*j**3 + 14070*j?\nAnswer: 1068612*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (5\/5 + 0)*-1. Does p = 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/5*-150*7\/(-84)\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 369715.\nAnswer: 5, 73943","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 172*a + f = 174*a + 5, -3*a + f - 9 = 0 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*4*(sqrt(45) + 3 - sqrt(5)) - sqrt(15)\/((sqrt(33)*2 + sqrt(33))\/sqrt(11))*6.\nAnswer: 24 + 14*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1090 or 7620\/7?\nAnswer: 7620\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2 + 38. Let f = -44 + t. What is the biggest value in f, 4, -1\/5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -763, -3847, -8981, -16165?\nAnswer: -25399","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4 - 2. Let m(f) = -1 - f**o + 1 - 2*f**2. Let k(b) = -2*b**2. Give k(m(w)).\nAnswer: -18*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -355, -3066, -5775, -8482, -11187, -13890, -16591?\nAnswer: -19290","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) be the first derivative of 1 + 0*l + 0*l**4 + 4\/9*l**3 + 1\/3*l**2 - 1\/9*l**6 - 4\/15*l**5. Suppose t(s) = 0. Calculate s.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2324617 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-130 - 682 - 418)*(1 - 2*l**2 - 2 + 0*l**2).\nAnswer: 2460*l**2 + 1230","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -254*y + 237*y + 238. Is 15 at least as big as y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) be the second derivative of 3\/2*y**2 + y**3 + 1\/24*y**4 + 0 - 11*y. Let w(c) be the first derivative of j(c). Determine w(-3).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -9f (base 16) to base 9.\nAnswer: -186","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 1, x: 1, b: 2, c: 3}. What is prob of sequence mcb?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*n**4 - 772*n**3 - 332*n**2 + 772*n + 312 = 0.\nAnswer: -1, -2\/5, 1, 39","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when -9*(-2)\/6 + 11 is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1737339*g**2*h**3 + 2*g*h**3 + 11161*g*h**2 + 7*g*h + 2*h**3 + 1 wrt g.\nAnswer: 3474678*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = a**2 + 2*a + 5. Let k be x(0). Find the third derivative of -10*n**5 - 23*n**2 - n**k + 21*n**2 wrt n.\nAnswer: -660*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**6*w*w**(-4\/7))\/(w**(-1)\/w**(-4)))**(-33) assuming w is positive.\nAnswer: w**(-792\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2005137536 to the nearest integer?\nAnswer: 44779","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -694 + 6778. Is q a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qfqoqqqqqqfqfqoqq. What is prob of picking 2 q?\nAnswer: 33\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put together 1.3 and 680.\nAnswer: 681.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-23)\/(-1) + 2 + -4. Suppose -g + q = 2*g. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 16 + 21. What is the units digit of m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -67 divided by -4.\nAnswer: 67\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/a**6)\/(a\/a**8*a))**(2\/111) assuming a is positive.\nAnswer: a**(2\/111)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 7 - 27. Is (-9650)\/(-14) + p\/70 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -76300 + 3?\nAnswer: -762ca","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 2*t - 45. Does 3 divide u(27)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/27*(-27)\/6 + 7\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (576\/(-162)*(-87)\/(-58))\/((-8)\/(-18)).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 80 + 79. Let h = m + -159. Which is the nearest to -1? (a) 5\/4 (b) h (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 45\/9*1*15\/(300\/136).\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine p, given that p**5 - 4*p**4 - 3*p**3 + 14*p**2 - 8*p = 0.\nAnswer: -2, 0, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 132 and 46843512.\nAnswer: 515278632","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -2*k**3 - 19*k**2 + 9*k - 13. Calculate f(-10).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 123 - 19. Suppose -2*z - 4*i + 9*i = -s, 2*i - 232 = -4*z. What is the tens digit of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -2, 0.2, -2\/55, 5, -344, -1\/4, 1.625?\nAnswer: -2\/55","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 94*z + 39. Let v be a(21). Suppose -23*f + 12*f + v = 0. Does 18 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*sqrt(42)\/sqrt(6) + 2.\nAnswer: -2*sqrt(7) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4231883849 + s**3 - 3*s**3 - 4231883849.\nAnswer: -2*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jpjpjpppjjpp. Give prob of sequence jjp.\nAnswer: 7\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2\/(-8) - 20\/(-16). Let h(u) = 56*u**3 - 2*u**2 + 1. Is h(k) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:10 AM and 3:10 PM?\nAnswer: 660","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 478072 to the nearest integer?\nAnswer: 691","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 17947 to the power of 1\/2, to the nearest integer?\nAnswer: 134","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 69.1 times 1.4\nAnswer: 96.74","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 535 minutes before 9:36 AM?\nAnswer: 12:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -h. Let b(c) = 4*c. Let f(q) = b(q) + 2*j(q). Let y(n) = 105*n**2 - 54*n**2 - 58*n**2. What is f(y(d))?\nAnswer: -14*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 32 and 160.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -79310380 by 6.\nAnswer: -39655190\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 70417726?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3868291?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1.4, 0.1, -2, -1\/4, 7.\nAnswer: -2, -1\/4, 0.1, 1.4, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f**0\/f*f\/f**(-1\/7)*f)\/((f*(f**(5\/4)*f)\/f)\/f*f**(-1)))**(-17) assuming f is positive.\nAnswer: f**(-901\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -f + 6. Let d be (-1 - -1 - 0)\/(-2). Calculate the remainder when (-96)\/(-10) + (-9)\/15 + 1 is divided by h(d).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -65 divided by 3625.\nAnswer: -13\/725","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d = -3*d + 3*l - 72, 5*d - l = -116. Let h = -18 - d. Suppose -68 - 107 = -h*g. What are the prime factors of g?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*z - 400 = -y + 19*z, -3*y + 2*z + 1256 = 0. What is the highest common divisor of 288 and y?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b + 3*z = -5*b - 14, z = -2*b - 6 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 39803 - 23?\nAnswer: 39780","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -14610545 (base 8) to base 10\nAnswer: -3346789","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*p + 3*l + 18 + 3, -3*l - 6 = 0 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4425950?\nAnswer: 2, 5, 17, 41, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/42)\/1 + (-30)\/(-315)\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 19 + -9. Let i(m) = -m - 3. Let v be i(-4). Suppose -v = -t + 1. What is the greatest common factor of t and k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00485842441 rounded to five decimal places?\nAnswer: -0.00486","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 31755202 is divided by 495?\nAnswer: 457","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -267 + 47 = 5*s. Let f be (s\/6)\/((-1)\/30). Suppose r = 0, -4*j = -2*r - 2*r - f. What is the remainder when j is divided by 19?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3 + -2. Let g = 45.1 + -40.1. What is the biggest value in q, g, -1?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 27800 = -5*j, r + 1141*j - 9264 = 1143*j. What is the greatest common divisor of r and 870?\nAnswer: 290","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (-5*(sqrt(3648) - sqrt(3648)*1))\/(2*sqrt(3)*2*3).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(63)\/sqrt(175))\/sqrt(3) - (sqrt(48)\/sqrt(200))\/sqrt(2)) + 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.015 + 0.02. Let f = 0.052 - a. Round f to two decimal places.\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 110 (base 2) in base 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -43\/196690367 and 51\/212.\nAnswer: 786761468","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 7 - 12. Let f be 6\/9 + d\/3. Suppose 16 = 4*x - 3*w, x + 2*w + 0 + 7 = 0. Which is greater: x or f?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 731808, 731811, 731814, 731817, 731820?\n\"Answer: 3*k + 731805","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*k + 2*k - 2*a - 6, -4*k + 3 = 5*a. Suppose -5*d + 2*d - 2*z + 174 = 0, k*d - z - 123 = 0. What is the tens digit of d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/(-2*3\/(-70)*-5)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.5? (a) 4 (b) -5\/2 (c) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 5, k: 9}. What is prob of picking 3 k and 1 g?\nAnswer: 60\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 312 + -289. Let d = 0.009 - 21.009. Let z = n + d. Which is the second biggest value? (a) 2\/11 (b) z (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*d**3 + 40*d - 3*d**2 - 40*d.\nAnswer: -8*d**3 - 3*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -2115*o + 6339. Determine l(3).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*s**5 + 12615147*s**4 + s**2 + 235913459*s wrt s.\nAnswer: 40*s**3 + 151381764*s**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 523*x = -524*x - 516559994, -t = x + 129139994. What is t rounded to the nearest 1000000?\nAnswer: -129000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) be the second derivative of b**3\/6 + 3*b**2\/2 + b. Let i(m) = m + 5. Let a be 3\/(-1) - (3 + -1). Let u be i(a). Calculate j(u).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -935 + 931. Let d(h) = h**3 + 2*h**2 + 5*h + 3. Let c be d(-3). Sort i, 2, c.\nAnswer: c, i, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = r**2 - 9*r + 3. Let k be f(8). List the prime factors of 186 + k + 4*-1.\nAnswer: 3, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 1, q: 3, d: 1}. Give prob of picking 3 q and 1 u.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand -89*j**3 + 89*j**3 - 4*j**5 + j**4 - j**4 - j**5 + (j - j - 2*j)*(2*j**4 - 3*j**4 - j**4) + (4*j**3 + 0*j**3 - 3*j**3)*(-3 + 3 + 2*j**2).\nAnswer: j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 383, -1 in ascending order.\nAnswer: -3, -1, 383","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 80\/(-25)*(-10)\/4. Suppose -p = -n + 41. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 3*m**2 - 41*m - 3. Let s be 46\/(-4) + -2 + 60\/40. Is x(s) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5217960 by 3.\nAnswer: -1739320","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Are 90\/256003 and -1 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2 in 12, 0.5, 23, 2?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 12 - 11.7. Sort -1\/15, u, 2\/9 in descending order.\nAnswer: u, 2\/9, -1\/15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -15677, -31319, -46959, -62597, -78233, -93867, -109499?\nAnswer: -125129","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16 = -2*d + 6 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8.7662178us to hours.\nAnswer: 0.0000000024350605","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -493 = 73*f + 529 for f.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -34 - -10312403?\nAnswer: 10312314","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -h + 64 - 54. Calculate the least common multiple of h and 338.\nAnswer: 1690","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p - 4*p + 12 = 0. Suppose 3*n - 7*r + 6 = -2*r, -4*r + 10 = -5*n. Let j be (1 - (-2 - n))*3. Solve 0 = p*o - 6*o - 6, 2*o + j = t for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -11*q + 642 + 95. Let c = q - 39. Calculate the remainder when 55 is divided by c.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(64)\/(sqrt(8)*-3) - (sqrt(800) + 0)) + -1)**2.\nAnswer: 124*sqrt(2)\/3 + 7697\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 759 + -1254. Let u = -67 - k. Does 20 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 28 - 3. List the prime factors of v.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) be the second derivative of o**3\/6 + 17*o. Let b(r) be the first derivative of 3 - 5 - 4*r**2 + 3*r**2 + 0. What is b(x(a))?\nAnswer: -2*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5*14\/7)\/(2*1).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4737?\nAnswer: 3, 1579","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7286058 (base 9) to base 12.\nAnswer: 137a138","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7, 13, 23, 37?\nAnswer: 55","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4642470.\nAnswer: 2, 3, 5, 7, 7369","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 8058024 to the power of 1\/2, to the nearest integer?\nAnswer: 2839","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 4*g - 5*g - 29*g. Let h(n) = -11*n + 9. Let m(q) = -5*q + 4. Let d(c) = 4*h(c) - 9*m(c). Give p(d(z)).\nAnswer: -30*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b - 165 = 2*j - 55, 4*j = -5*b - 226. Let t = j - -98. What is the units digit of t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*l + 1 - 1)*(-1 - 2 + 12*l - 3*l).\nAnswer: 18*l**2 - 6*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-96 - 1447 - 2090 + 654 - 626)*(-10 - 9 + 22 - p).\nAnswer: 3605*p - 10815","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (70\/4 - -2)*(-246)\/(-9). Suppose -k = -9*v + 286. Calculate the greatest common divisor of v and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 1 s when two letters picked without replacement from {y: 2, v: 4, s: 3}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 10997 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-78 + 166 - 87)*(2*f**5 - 4*f + 4*f - 5*f**5 + f**5 + 2*f**5 + (2 - 2 + 1)*(-1 - 2*f**5 + 1) + 5*f**4 - f**5 - 5*f**4 + 4*f**5 - 6 + 6).\nAnswer: f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 185947 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 395325.37 and -40.727?\nAnswer: 395366.097","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 153954 to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 114*i - 56*i + 1564 = -6*h + 2*h - 139*i, 24 = -3*i for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -13 + 19. Suppose 0 = 3*o - 5*i - 18 - 16, -r = 3*i. Let f be 29*1 + (-16)\/o. Calculate the greatest common divisor of 3 and f.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (sqrt(242) - (sqrt(242) + -4*sqrt(242)*-1)) + (sqrt(242)*-1 - sqrt(242))**2*-1 - (2 + (-3*(1 + sqrt(242)) - sqrt(242)) + 1).\nAnswer: -966","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 190.35*-5\nAnswer: -951.75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*i + 2*i + 10 = 2*x, 2*i - 4 = 4*x. Suppose -2*t + 5*u = -129, -i*u = -0*t + t - 51. Is 21 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 4*u + 316 = 3*d, 0 = -u - 3. Calculate the smallest common multiple of d and 8.\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -34 + 5 - (23 - 24 - -8)?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 134 - 138. Let f be 3\/(-18) - (-63)\/54. Suppose 2*h + 3 = -f. What is the closest to t in 1\/6, 3, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 2*b**2 - 15*b - 2. Let u be m(10). Let r be (-1362)\/(-18) + (-32)\/u. Are 76 and r non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + -4 + 8 + 4 + 0.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -6 - -6. Let t(q) = j*q - 2*q + 30 - 32. Determine t(-2).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yo when two letters picked without replacement from {s: 7, y: 1, o: 1, j: 3}.\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d*(d**(-4\/5)*d)\/d*(d\/(d*d**(-2\/27)))\/d)\/(d**(-1))**(1\/43))**(5\/2))**(-2\/91) assuming d is positive.\nAnswer: d**(4079\/105651)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 6*x**2 - 18*x - 28. Let f be c(5). Solve 10 - 26 = 3*j - i, 4*j + 4*i = -f for j.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0010522 to five dps.\nAnswer: -0.00105","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 217 minutes before 12:10 PM?\nAnswer: 8:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k - 5*k = -35. Calculate the remainder when k is divided by (-29)\/(-7) + (-1)\/7.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.02 + -9.98. Let a = -9.3 - j. Let u = -0.69999979 + a. Round u to seven decimal places.\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1584)*-5)**2 + (sqrt(132) + -1*sqrt(132))\/sqrt(12))*-2.\nAnswer: -79200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -152*o**2 + 6*o**3 + o + 9 - 2*o**3 + 156*o**2 - 6*o. What are the prime factors of r(5)?\nAnswer: 2, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 112? (a) 4 (b) -0.5 (c) 3 (d) 1.9 (e) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 36399? (a) 2\/37 (b) 120 (c) 2 (d) -5\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 460 (b) 2\/3 (c) 0 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v*v**(-1\/4)*v)\/v**19*v**(-4)*v*v\/v**(-3\/22)*v*v assuming v is positive.\nAnswer: v**(-709\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -59\/280 and 191\/8160?\nAnswer: 57120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 95 divide 136800?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Product of -38399 and -217.\nAnswer: 8332583","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -7 times -19681\nAnswer: 137767","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 335 + -335. Let v = 0.01 - -0.29. Let i = v - 0.1. Which is the nearest to s? (a) -3 (b) i (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(-4) - ((-80)\/24 - 259\/(-84)).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/(-3))\/((-9)\/(-1 + 82))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 203 < 200?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that 2*x**5 + 10388*x**4 + 62278*x**3 + 114148*x**2 + 62256*x = 0.\nAnswer: -5188, -3, -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 2959406 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1111*h**4\/4 - 14995*h**3\/2 + 106467*h**2\/4 - 25385*h - 161 = 0 for h.\nAnswer: -7\/1111, 2, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide 258197 by -3.\nAnswer: -258197\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) be the second derivative of 943*d**8\/28 + d**6\/15 + d**4\/12 + 2*d**3\/3 - 165*d**2\/2 - 603*d. Find the third derivative of m(f) wrt f.\nAnswer: 226320*f**3 + 48*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4 + 1. Let f = 3 - 0. Which is the smallest value? (a) -4\/3 (b) f (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 53 + 241. Suppose 11043 = 303*i - r*i. What is the hundreds digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 2*d - 1. Suppose 2*a + a - 16 = f, a - 2*f = 12. Let h be s(a). Solve h = -5*b + 2*l, 5*b + 0*l = l - 11 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 254*z**2 - 12*z - 14. Suppose 509 - 510 = o. Let q be w(o). What is the greatest common divisor of 7 and q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 126*b - 9193459 - 8095001 = 0. What is b rounded to the nearest ten thousand?\nAnswer: 140000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (2 - -3)*(0 - -1). Suppose -2*u = -4*w + 16, -x*u = -8*w + 4*w + 22. Let c be -2 + w + -1 + 3. Solve -4*v = -c*d - 12, -3*d - 4*v = d + 16 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 50800 divided by 200\nAnswer: 254","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n + 9*n + v - 204 + 109 = 0, 70 = 3*n - 2*v for n.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 3212\/2409 + (-2 - (-38)\/18)*3. Suppose -29 = 3*z + 3*t - 7*t, 0 = -5*z - 3*t. What is the smallest value in -3\/4, z, i, 4?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2158513 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) be the third derivative of -b**6\/120 - 7*b**5\/60 - 5*b**4\/24 + 4*b**3\/3 + 4*b**2. Let g be n(-6). Suppose 4*q - g*q = 194. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 498322 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -s + 4, 4*b + 6*s - 3*s = 24. Suppose 16 = v + b*v. Let t(p) = 3*p**2 + 72*p + 3. Let g be t(-24). Solve 26 = 4*d - g*a, -3*d + 25 = -a - v*a for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 144372 = 144369?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 105 - -40. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 194*z**3 - 194*z**3 + 3*z**4 - 8*z**2 + 8*z**2 + 8*z**4 + (-2*z - z + 2*z)*(-2*z**3 + 0*z**3 + z**3).\nAnswer: 12*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 27305?\nAnswer: 5, 43, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k when two letters picked without replacement from kkkkkkk.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 530 minutes after 4:04 PM?\nAnswer: 12:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 243 minutes after 12:40 PM?\nAnswer: 4:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -227106 divided by 186?\nAnswer: -1221","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -p + 1. Let o be c(-2). Suppose o*a = -5*q + 10, -3 - 32 = 2*a - 5*q. Let k = a + 7. Let t(m) = 2*m**2 - 4*m + 3. Determine t(k).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5105*7.121\nAnswer: -36352.705","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-15561)\/28)\/13*(-1340)\/(-402)*8\/(-10).\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4721208?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -4723.63 rounded to the nearest 10?\nAnswer: -4720","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = l + 10. What is the least common multiple of 45 and k(-4)?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 23949?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-648)\/108*39\/(-18).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 3*z**2 - 50*z - 73. Let d be j(18). Which is greater: 6\/55 or d?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 79328?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 21781520753 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -59 + (-95 - -155) + (7 - (2 + -4)) + 91\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*r**3*t**2 - 565*r**3*t - 2*r**3 + 5*r**2*t**2 - 1181*r*t**2 + 4*r*t wrt t?\nAnswer: -4*r**3 + 10*r**2 - 2362*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -437 + 441. What is the nearest to -1 in -0.9, 0.05, f?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 3\/2 (b) -1 (c) -3985 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yu when two letters picked without replacement from vmvauyaz.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -190.71 + 185.71. Which is the second biggest value? (a) -139 (b) -4 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 43271, 43272, 43273, 43274?\nAnswer: 43275","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1730869, 3461647, 5192425?\nAnswer: 6923203","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -2*v**2 + 17*v - 9. Let o be w(7). Suppose 0 = -a - 5, 3*a = 2*d - a - o. Sort -2, d, -5.\nAnswer: -5, d, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bsbb when four letters picked without replacement from {s: 6, h: 3, o: 1, b: 5}.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1 + 4. Let b(n) = -o + 8251*n + 7 + 0. Let u be b(-4). What is u rounded to the nearest ten thousand?\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 8 = 0, 3*n + 24 = 3*h - 0. What is the remainder when 33 is divided by h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -7293000 to the nearest 10000.\nAnswer: -7290000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1350 = 12*r - 3*r. Round r to the nearest ten.\nAnswer: -150","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6038968409 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4192206172 to the nearest integer?\nAnswer: 1612","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = -4 - 2, 3*p = 5*x + 27. Let n be (0*2\/p*-1)\/(-2). Solve n = c - 5*c - 3*a + 11, -c = a - 3 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 256*q + 70. Let w be u(2). Let j = -343 + w. Calculate the remainder when j is divided by 30.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1047 is divided by 188?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r**4 + 36*r**3 - 1926*r**2 + 3736*r - 1848 = 0 for r.\nAnswer: -42, 1, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3168 by 44.\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 1.26*-1.71083\nAnswer: -2.1556458","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 346636890 to the nearest integer?\nAnswer: 18618","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -189 + -5. Is (d\/3)\/(2\/(-3)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 56169196.\nAnswer: 2, 103, 136333","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -27275 - -0.77\nAnswer: -27274.23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y and 2 o when four letters picked without replacement from sllosoyy.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2215222285?\nAnswer: 5, 397, 641, 1741","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 44 - 30. Suppose 6*y + 157 = 31. Let d = y - -33. What is the least common multiple of d and s?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 320433222 (base 5) in base 10?\nAnswer: 1342937","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 63*b + 5*k = 64*b - 27, 16 = 3*b - 2*k for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ggggggkgkg. What is prob of sequence ggk?\nAnswer: 7\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is a9 + 6f823?\nAnswer: 6f8cc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 80*g**2 - 13*g - 3. Let v be i(6). Let f = v + -4159. What is f rounded to the nearest 100?\nAnswer: -1400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 800 and 5120?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -304 = -16*y - 32*y - 1504 for y.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -i**2. Let q(l) = -555*l - 267*l + 110*l. What is q(n(o))?\nAnswer: 712*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 190 = -17*v - 3*r, -613*v + 240 = 597*v - 1226*v - 4*r for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 2*c = 50. Let g = c + 30. Solve 3*z - g = 4*z for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eighteen fifths of a litre in millilitres?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*c - 5*r + 1150, -2*r = 2*c + 271 + 189. Let p be c\/8 + (-1)\/4. Let b = 51 + p. What is the units digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 14, 17, 22, 29, 38?\nAnswer: 49","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 54766*y + 54776*y + 54780*y - 164331*y.\nAnswer: -9*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 11136077 and 2044.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (6\/8 - 3)*8\/48. Let y = 1231 - 1230.7. What is the closest to y in 3, -2\/3, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13335 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: What is 0.892533 rounded to one dp?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*q + 11 + 19 = 0 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4.94 + 0.9. Let t = 883 + -861.94. Let n = s - t. Round n to the nearest integer.\nAnswer: -25","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6213020 is divided by 6425.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 3*v**2 + 2 - v**3 + 0 - 3*v + 0*v**3. Let i be z(2). Let w(r) = -r + 0*r + i*r. Calculate w(-1).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1977384 is divided by 5245?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/(((d**(-2\/3)*d)\/d)\/d))**(-43))**(2\/3)\/((d**(-1\/2)\/d)**(-1\/8)*(d**(1\/3)\/d)**(18\/5)) assuming d is positive.\nAnswer: d**(-53447\/720)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + sqrt(18)\/sqrt(6) + sqrt(243)*2 + (sqrt(12) + (sqrt(12) - (sqrt(72)\/sqrt(6) + sqrt(12) + 3)) + sqrt(12))*-1.\nAnswer: 4 + 17*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 246466 and 16.\nAnswer: 1971728","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -684410 divided by -68441.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.1227 to three dps.\nAnswer: 0.123","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = 5*n - 24. Let o = n + -3. Suppose -3*v + 15 = 3*d - 6*d, 2*d + 13 = o*v. Solve -16 = 4*p + f - v*f, 4*p - 4*f = -24 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/2 of a kilometer in meters?\nAnswer: 6500","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -307 + 2333?\nAnswer: 2025","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -11*u**2 - 281*u - 352. Determine r(-24).\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -b**3 - 3*b**2 + 2*b + 11. Let f be -11 + (-40)\/(-25)*5. Let x be t(f). Solve -7*i - x = -6*i for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -11*i**5 - 3*i**3 - 31*i**2. Let c(o) = -o**3. Let k(d) = 3*c(d) - j(d). Find the third derivative of k(u) wrt u.\nAnswer: 660*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.021 + -0.739. Let y = j + 0.843. Let t = y - -0.417. Which is the second smallest value? (a) 0.4 (b) -3 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 83114\/33 in 1, -1, -1\/6, -0.2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 13607?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of w**5 - 46*w**4 - 274787*w**3 + 162*w**2 + 319219*w wrt w?\nAnswer: 60*w**2 - 1104*w - 1648722","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = 5*p - 3369, -r - 5*p + 512 = 3861. Let x = 5698 + r. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2854716.\nAnswer: 2, 3, 233, 1021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-89)\/20915)\/((-4)\/(-40)).\nAnswer: -2\/47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -14.1 - 3.4. Let l = 17 + p. What is the third smallest value in l, 0.1, -3, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 101121200112 (base 3) in base 16?\nAnswer: 33062","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 + (8 - 7) - (6 - 9) - 39.\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 30313 (base 10) to base 11.\nAnswer: 20858","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -14*d - 255. Determine g(-19).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*y - y + 0*y.\nAnswer: y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 62*(0 + (-1)\/(-4))*-10. Let m = p - -446. Suppose 4*b = -m + 3575. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -32543 + 345?\nAnswer: -32165","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -2 + 3 + -1 + -1. Let y be (-1 - -3)*1 + l. Suppose -2*u + 13 = -y. What are the prime factors of u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -g**3 - 2*g**2 + 2. Let h(j) = -3*j + 1. Let v be h(1). Let s be l(v). Solve 4*k + 2*z - 14 = -4, -s*z = -k for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*u + u + 0*u)*(-2*u + 2 - 2)*(3 + 3 - 4).\nAnswer: -12*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1995, -1557, -1251, -1083, -1059, -1185, -1467, -1911?\nAnswer: -2523","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 34158146*o**3 - 216563481*o**2 + 2*o wrt o?\nAnswer: 204948876","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1361 - (12\/8 - (-10)\/(-4)). Let n = -127 + d. List the prime factors of n.\nAnswer: 5, 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-o**2 - 4*o**2 - 5*o**2)*(-49*o**2 + 30*o**2 + 20*o**2 - 94*o) in the form j*o**4 + d*o**3 + u*o**2 + p + a*o and give j.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 91.50065 tonnes in micrograms?\nAnswer: 91500650000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 4c2 + 56760?\nAnswer: 56c32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 708180.\nAnswer: 2, 3, 5, 11, 29, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -601, 188, 975, 1760, 2543?\n\"Answer: -n**2 + 792*n - 1392","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -3 (b) -0.3 (c) 32184747\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -84144711 + 0.4.\nAnswer: -84144710.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 1322, 1416, 1564, 1760, 1998, 2272, 2576, 2904?\n\"Answer: -n**3 + 33*n**2 + 2*n + 1288","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -17 (b) 424071 (c) -4 (d) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -182*l - 100*l + 166*l to the form g + u*l and give u.\nAnswer: -116","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-92*x**3 + 145*x**3 - 83*x**3)*(8 + 7 + 0) to o*x + k*x**3 + c*x**2 + l and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*k**2 + 3*k**2 - 8*k**3 + 2*k**2.\nAnswer: -8*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/(4\/3))\/((-99)\/12).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 18780 to the power of 1\/2, to the nearest integer?\nAnswer: 137","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 416 minutes after 9:09 PM?\nAnswer: 4:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 2946 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) be the third derivative of y**4\/8 + y**2 - 27*y. Let r(j) = -23*j. What is a(r(o))?\nAnswer: -69*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4254691450?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 136706 and 29.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 363345?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*i = 6*i + i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*x**2 + 3*x**2 - 22*x - 27*x**3 + 7*x**3 - 38*x**3 + 20*x as c + k*x + g*x**2 + d*x**3 and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -69*t + 91*t + 1652531 = 81*t. What is the hundreds digit of t?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -2 - 317373?\nAnswer: -317375","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -43 + 15. Suppose -83 = 2*j + 15. Let u = t - j. What is the tens digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) be the third derivative of -y**7\/7560 + y**6\/720 - y**5\/180 - 11*y**4\/24 - 28*y**2. Let k(f) be the second derivative of l(f). Factor k(z).\nAnswer: -(z - 2)*(z - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14 - (19 + -25) - 34.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/5 in -1\/3, 12, 0.3, 105, -145?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -25\/21945222 and -62\/25602759?\nAnswer: 153616554","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 13*h**2 - 1. Let p be a(1). Let q = -8 + p. What is the second derivative of -3*l**q - l + 4*l - 3*l**4 - 4*l wrt l?\nAnswer: -72*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 11\/2 of a kilogram?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - 3*z = 1, -3*k - 3*z + z + 6 = 0. Let c be k\/(-18) - 33652\/(-36)*-46. Round c to the nearest ten thousand.\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 10, e: 4}. Give prob of picking 1 n and 2 e.\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.4 in -1.1, 0.2, 58, 23, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1409 + -1405. What is the smallest value in -2, -2\/13, -19\/4, m, -0.3?\nAnswer: -19\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 116\/2 + 0\/(-3). Let c = 2823 - 2801. Suppose -i + c = -j. Calculate the remainder when i is divided by 41.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(4455) + sqrt(4455)*1)\/sqrt(11).\nAnswer: 18*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 170080 and 5280?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -11 greater than -9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = s**3 + 58*s**2 + 55*s - 121. Calculate w(-57).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1664394 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: Let l(z) = -z**3 - 5*z**2 + 6*z + 5. Let f be l(-6). Suppose -3*m = 1 - 13, f*d = 4*m + 129. What is the tens digit of d\/3 + 2\/6?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 312\/990 + 4\/(-22)\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -13\/4 - -7\/2. Which is the third smallest value? (a) f (b) -0.3 (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(5600) - -2*sqrt(5600)) + sqrt(56))\/(2*(sqrt(4) + sqrt(64))))\/(((-1*sqrt(56))\/sqrt(2))\/(3*sqrt(64) - sqrt(4))).\nAnswer: -341*sqrt(2)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -29*n**5*o - 2*n**2*o + n**2 - 228*n*o + 2*o wrt n?\nAnswer: -580*n**3*o - 4*o + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -8 (b) 2 (c) -23 (d) 184 (e) 3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 10953478 and 31?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (-105 + 75 - -47) + -82\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 538 minutes after 11:16 AM?\nAnswer: 8:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 230320 (base 6) in base 15?\nAnswer: 5be0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 496015 is divided by 4000.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8724?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -141822*b**2*o**2 - 10*b**2*o - 17468*b**2 - 31*o**4 wrt o.\nAnswer: -283644*b**2 - 372*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6, 6, 14, 36, 78, 146, 246, 384?\nAnswer: 566","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-12)\/7)\/((-7)\/49). Let o = 14 - w. Let l(b) = b**3 + o + 2*b + 1 + b - 2*b**3. Calculate l(-2).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 922, 3685, 8286, 14725, 23002?\n\"Answer: 919*c**2 + 6*c - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000740565 rounded to four dps?\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*m - 5*m = 110 - 320 for m.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 345 is divided by 157?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 + (-202)\/(-60) - ((-138)\/(-115))\/6.\nAnswer: -11\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5*(-16)\/200*-5?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 362*i + 63. Let v(p) = 181*p + 28. Let d(r) = 4*g(r) - 9*v(r). Let y(x) = -6*x**2. Calculate y(d(q)).\nAnswer: -196566*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*q + l + 14, 3*l + 29 - 14 = 3*q. Put 2, -4, 0, q, -90 in ascending order.\nAnswer: -90, -4, 0, 2, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -u**3 - u**2. Let c = 24 - 22. Let b(v) = 6*v**c + v - 9*v**3 - v**3 + 15*v**3 + 0*v**2. Let q be 30\/(10\/(-2))*-1. What is q*t(l) + b(l)?\nAnswer: -l**3 + l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 6 and ((-2)\/(-4))\/(12\/1128 - 0).\nAnswer: 282","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) be the first derivative of 200*u**3\/3 - 1955*u**2\/2 + 750*u + 755. Factor v(n).\nAnswer: 5*(5*n - 2)*(8*n - 75)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -s - 7. Let o be l(-9). Let u be (1 + (o - 4))\/5. Let i = 3\/116 - -437\/1044. What is the closest to -1 in i, 5, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 6, j: 4}. Give prob of sequence ljjj.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 5*h - 23 = 0, -3*u - 5*h + 40 = -21. Solve 2*t - k - 13 = -4, u = 2*t - 2*k for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-6)\/(-4))\/(-7 - (-30)\/4). Solve t - 16 = -o*t for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 170520?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -586*p = 2*r - 590*p + 6, -p + 9 = -3*r for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -4*i. Let s = 7 + -8. Let n be p(s). Suppose j + 2 = 4, n*j - 12 = -t. What is the units digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = q**2 - 6*q - 4. Give x(-4).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.07, -38, -484 in increasing order.\nAnswer: -484, -38, 0.07","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + ((5*(sqrt(300) + 1 - sqrt(300)) + sqrt(300) - sqrt(300))*2 - (-3 + (-2*sqrt(300) + -5 + sqrt(300) - sqrt(300)))) + -2)**2.\nAnswer: 760*sqrt(3) + 1561","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -q**2 - 13*q - 8. Let b(s) = -s + 9. Let z(m) = -14*m**3 + 1. Let h be z(-1). Let v be b(h). List the prime factors of d(v).\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = l**2. Let u = -101 - -100. Let m(f) = -2*f + 1. Determine u*i(h) + m(h).\nAnswer: -h**2 - 2*h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 5236 and 34?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10 (base 14) to base 13.\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 275799?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*v = 17*v - 1782. Solve i = v - 52 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 31 (b) -4 (c) 2 (d) -98\/17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*q + 4*y - 32, -3*q - 69*y - 3 = -74*y for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from psyyzsga. Give prob of sequence sp.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1827, 1830, 1833?\nAnswer: 1836","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s*s*(s**(-6)*s)\/s)\/s)**(-19\/4)*s*s**(1\/33)*s*s**(-2\/3) assuming s is positive.\nAnswer: s**(224\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 3\/8, -913, -5\/3, -6\/5?\nAnswer: -913","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -43, 14\/19, -0.5?\nAnswer: 14\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) be the third derivative of m**4\/8 + m**3\/6 - m**2. Suppose 6*d = 2*d + 4*f, -4*d = -f + 6. Let u be s(d). Let w(c) = -c - 2. What is w(u)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) be the second derivative of g**3\/6 + 9*g**2\/2 - g. Let k be l(9). Suppose -v = -0*v - k. What is the smallest common multiple of 4 and v?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -j + 1. Let s(b) = -2*b**3 - b + 1. Suppose -2 = -2*f + t + t, 2*f - 4*t = 0. Let i be 1\/(f\/(3 - 1)). What is i*s(m) - v(m)?\nAnswer: -2*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 190180?\nAnswer: 2, 5, 37, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 475 is divided by 264?\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-6 - -5) + (-7 - -34). Suppose 12*r - 202 - j = 0. Calculate the remainder when 435 is divided by r.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = a**2 - 2*a + 16. Calculate c(0).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 87189142 to the nearest integer?\nAnswer: 9338","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence too when three letters picked without replacement from ooxtmoxxxx?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 45943\/14 + -3283. Suppose 2*o + j - 7813 - 262 = 0, -12115 = -3*o - j. What is the common denominator of w and (-4)\/(-28) - o\/(-2688)?\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + (69\/8)\/(32\/(1536\/72))?\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 5, n: 2}. Give prob of picking 1 n and 1 m.\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 1 m when two letters picked without replacement from {m: 8, c: 5}.\nAnswer: 20\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1178 - -65702218227.\nAnswer: 65702219405","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8\/84*-21*-9?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - m - 7 = 0, -3*k - 2*m + 8 + 4 = 0. Let i = k + 2. Solve -4*f - 5*p - i = 0, 0*f - 3*f = 3*p for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + 19 = -2*v - 2*b, 4*v - 3*b + 29 = 0. Let t be 85\/25 - 3\/v. What is the third derivative of -3*a + t*a**2 + 0*a + 3*a - 3*a**4 wrt a?\nAnswer: -72*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 303 to the power of 1\/5, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -17 - (-1 + (-1 - -10) + -17).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 33 = -42. Suppose -w = 2*r - 3*m, -r = -2*r + 4*m - 20. Suppose r*b = 3*b - 354. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -151\/777708 and 85\/4061364.\nAnswer: 36552276","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + 2*(sqrt(112) + 1 - sqrt(112))*1.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - h = -4*o + 102, -151 = -3*h - 5*o. Suppose h*n - 45*n = -4. Calculate the lowest common multiple of -4 + n + 4 - (-18 + 0) and 2.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in three fifths of a gram?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 653, 650, 635, 602, 545, 458?\nAnswer: 335","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor h**2 + 3*h**2 + 126*h**3 + h**5 + 2*h**2 - 4*h**4 - 125*h**3.\nAnswer: h**2*(h - 3)*(h - 2)*(h + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-279)\/(-279))\/((-2)\/24)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.4076 - -3.5924. Which is the second smallest value? (a) 0.1 (b) 5 (c) o (d) 11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 1, v: 1, f: 4, n: 2, u: 3, o: 7}. What is prob of picking 1 f and 1 v?\nAnswer: 4\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 85 divide 188360?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.013 and -2777.066?\nAnswer: 2777.079","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) be the first derivative of -149*m**2 - 723*m - 403. Differentiate j(b) with respect to b.\nAnswer: -298","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 722886.2 meters?\nAnswer: 722.8862","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 57046 or 57061?\nAnswer: 57061","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 8000 and 148000?\nAnswer: 296000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wn when two letters picked without replacement from wnwwwwwwwwww?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 - 17) + 252\/21?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zx when two letters picked without replacement from hhhxehxzxhzhehz.\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 11) to base 14.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(-1\/4)*b*b\/(b\/b**(-4)))\/(b**(1\/10)*b*b\/(b*b*b**(-3)*b)))\/(b**(-4)*b**(-9)*b)**(-8) assuming b is positive.\nAnswer: b**(-2027\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1832821633?\nAnswer: 179, 10239227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 5 - 2\/((-2)\/(-1)). Let r be ((-1838)\/4)\/(4\/(-8)). Suppose -481 - r = -y*m. Round m to the nearest 100.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1005 - -2?\nAnswer: -1003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -115 + -4?\nAnswer: -122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 29*g**3*y**3 + 390*g**3 - g*y - 267*g - y**3 - 2*y**2 wrt g.\nAnswer: 174*g*y**3 + 2340*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 40117864 divided by 1327?\nAnswer: 30232","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 13 (b) -44 (c) -0.3 (d) -0.4 (e) 21\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p\/p**(-6)*p)**(-7\/6)*p\/(p\/(p*p\/(p**(22\/3)\/p)*p))*p**(14\/3)\/p assuming p is positive.\nAnswer: p**(-61\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 11 (b) -4\/3 (c) -0.2 (d) -1 (e) 115\/2 (f) -11\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.24 and -280?\nAnswer: -67.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 1 - 1)*(a - a + a) + a - a + 3*a - a + 0*a - a + (3 - 1 - 1)*(0*a - a - a) + 2 - 2 + a to s*a + n and give s.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 2*g + 25 - 6 = 0, y + 2*g + 9 = 0. Is 7 != y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3042 + -3041.5. Which is the closest to 0? (a) 1.2 (b) -0.3 (c) x (d) -0.03\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11342679?\nAnswer: 3, 3780893","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 286 and 792.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-19*18\/(-342))\/((-1)\/2).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -628*r**3 + 3*r**2 + 2*r. Is p(-1) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 632 divide 46716808?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 547 minutes before 7:59 AM?\nAnswer: 10:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -123\/1040 and 39\/1991.\nAnswer: 2070640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i = 4*b + b + 15, 4*b + 12 = 0. Let r be 2\/5 - 17\/5. Suppose 4*t + 10 = -3*h, -2*t - 5*h = -0*h + 12. Put 5, i, r, t in descending order.\nAnswer: 5, i, t, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -7657*h**2 - 3*h + 8. Let r(p) = 2*p. Determine r(y(f)).\nAnswer: -15314*f**2 - 6*f + 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 0.1 (b) -2\/11 (c) 5\/133 (d) 21\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 592, 1215, 1848, 2497, 3168, 3867?\n\"Answer: v**3 - v**2 + 619*v - 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2627769*g**4 + 3059664*g wrt g?\nAnswer: 31533228*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (16\/(-64))\/((-63)\/(-1086) - 0). Let o = -29\/7 - s. Which is the third smallest value? (a) 8 (b) o (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k = 4*q - 4, 0 = 3*q - 0*q - 4*k - 31. Suppose 2*u + 2*u - q*l + 4 = 0, -4*l = 5*u + 5. Let a = 3 + u. Solve n = -n - a for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-22)\/(-6) - 1)\/((-124)\/(-186)). Sort 496, 0, n in increasing order.\nAnswer: 0, n, 496","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b*b**(6\/23)*b**(11\/2))\/(b**(-5\/7)\/b**13))**29 assuming b is positive.\nAnswer: b**(200535\/322)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (2872 - 6470 + 3069)*(3*b - 6*b + 4*b) as g + c*b and give c.\nAnswer: -529","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 295060788?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 104 minutes before 1:31 PM?\nAnswer: 11:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 28299192997 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 85*n - 279 - 316. Let x(t) = 4*t**2 - 2*t - 4. Calculate the remainder when x(3) is divided by n.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Rearrange u**2 + 4*u - 2 + 4*u**2 - 6*u**2 to the form q + d*u**2 + k*u and give k.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35 = 2*a - 85. Find the second derivative of a*r**2 + 86*r + 49*r + 106*r**2 wrt r.\nAnswer: 262","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 21 by 5.\nAnswer: 21\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k = -0*k + 4. Let w be (-4)\/1*k\/(-2). Suppose -2*p + 12 = w*p. What is the units digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = i - 4*i. Suppose 2*y - 28 + 4 = i. Calculate the remainder when 22*(4 - (3 + 0)) is divided by y.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m - c = -576, m + c = -3*c + 119. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - a - 7 = a, 5*a = -10. Sort -1, d, 9 in ascending order.\nAnswer: -1, d, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(76) - 1*-1*sqrt(76)) + sqrt(76)*1*-5)\/(1*sqrt(4)*-3 - (-1*sqrt(256) + sqrt(4))).\nAnswer: -3*sqrt(19)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 4*c**2 - 336*c - 7258. What is z(102)?\nAnswer: 86","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 2*y**2 + 51*y + 54. Calculate f(-24).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -147061 divided by -5?\nAnswer: 147061\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -11, -27, -39, -41, -27, 9?\nAnswer: 73","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = k**2 + 10*k + 7. Let j be b(-11). Suppose g - 3 = j. What are the prime factors of g?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 5*y**5 - 5*y**4 - 5*y**2 + 7*y. Let z(b) = -3*b**5 + 2*b**4 + 2*b**2 - 3*b. Let r(u) = 2*p(u) + 5*z(u). Find the second derivative of r(l) wrt l.\nAnswer: -100*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -m - m - s, 0 = 5*m - 5*s + 45. Solve 0 + 5\/3*n**4 - 5\/3*n**m + 0*n + 0*n**3 = 0 for n.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 4 (b) -32\/35 (c) 0 (d) 0.5 (e) -54\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(110)\/(sqrt(200)*2 - sqrt(200)))\/((sqrt(5) - sqrt(20))*-6 + sqrt(20)*2))**2.\nAnswer: 99\/2500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -d**3 + 5*d**2 + d - 6. Let i be u(5). Let h(z) = -5*z**3 + 6*z**2 - 6*z + 6. Let x(j) = -j**3 + j**2 - j + 1. Calculate i*h(o) + 6*x(o).\nAnswer: -o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000061357764 rounded to 6 dps?\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -4*h**2 + 19*h + 59. Calculate s(-11).\nAnswer: -634","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/10)\/((-44)\/3740).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -0.3, 1\/2, -107 in decreasing order.\nAnswer: 1\/2, -0.3, -3, -107","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -16*h - 36. Is b(-13) a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -35 + (-153275)\/(-73000)*16 - 1*7\/(-5).\nAnswer: -2\/365","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 27 (b) -2 (c) 2 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 1 u when two letters picked without replacement from {o: 1, m: 1, d: 2, l: 1, c: 1, u: 1}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -29 + (29 + (6 - 6) - 8) - (-2 - -2)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 6*a**3 + 255*a*f + 1921*f + 1 wrt a?\nAnswer: 18*a**2 + 255*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = z**3 + z + 1. Let t(x) = -4*x**3 - 6*x - 5. Let q(v) = 6*c(v) + t(v). What is the units digit of q(1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 114 + 1040442?\nAnswer: 1041111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*g + 20 = 20*g for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 21210221211 + -1210022?\nAnswer: 21202011112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 47232333703 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3\/(12\/532 + 0). Let p be 58\/4*(-1316)\/u. Let v = -51215\/342 - p. Calculate the common denominator of 121\/6 and v.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1063, 3358, 5643, 7912, 10159?\nAnswer: 12378","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -6*y**2 + 3*y - 440. Let g(s) = 2*s**2 - 2. Give 4*g(b) + l(b).\nAnswer: 2*b**2 + 3*b - 448","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/(8 - 9) + (-55)\/15.\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 418 minutes after 7:21 PM?\nAnswer: 2:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -51860, -105062, -158264?\n\"Answer: -53202*r + 1342","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -r**3 + r**2. Let u(z) = 3*z**3 - 4*z**2. Suppose 2 = 3*h - 1. Determine h*u(k) + 4*t(k).\nAnswer: -k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(152)*-2*-5*-5)\/(3*sqrt(8)*5 + (sqrt(8) - (sqrt(8) + (sqrt(8) - 4*sqrt(288))))).\nAnswer: -25*sqrt(19)\/19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5054873 to the nearest integer?\nAnswer: 2248","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 3*k**2 - 153*k + 2166. Determine s(18).\nAnswer: 384","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 6527957 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -1 (b) 5 (c) 200.03 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 1. Let d(z) = 3*z**2 - 6. Determine -d(a) - 6*u(a).\nAnswer: -3*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 27715*9.\nAnswer: 249435","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1065, 8613, 29155, 69207, 135285?\nAnswer: 233905","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -14*g - 4. Calculate m(-1).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*j - 36 = -2*j for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = x**2 - 2*x - 22. Let g be o(6). Does 33 divide 110\/(((-20)\/(-6))\/g - 1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 91589355 divided by -55341.\nAnswer: -1655","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 - 12978957.775.\nAnswer: -12978961.775","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = w - 7. Let c be g(7). Suppose c = -4*k + 25 + 15. Suppose -l = -k + 4. Solve y = 3*t - 2, y - l*y + 4*t = -1 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 46622 is divided by 19282?\nAnswer: 8058","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 46\/(12 + -14 - 4\/(-1)). Differentiate -u + 6 - x**2 + 12*x**4 + x**2 wrt x.\nAnswer: 48*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let z(x) be the second derivative of -11*x**3\/6 + 5*x**2 + 12*x. Let u be z(-7). Suppose w + 3*w + 145 = 5*y, -4*w = 3*y - u. What is the tens digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = -s + 6, 5*s + 5*v - 2*v = 22. Let z(f) = 0*f + 1 - f + 0 + s*f. Let c(l) = -l**2 + 4*l + 7. Give c(a) - 5*z(a).\nAnswer: -a**2 - a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21614 - 233255 = -47*g. List the prime factors of g.\nAnswer: 3, 19, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - 2*g = -5*i - 68, 0 = g - i - 16. Is (-2082)\/(-14) + g\/42 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*n**4 + 0*n**2 + 0*n**2 + (2*n**3 - 4*n + 4*n)*(-n - 2 + 2) + n**4 + n**2 - n**2 + (2*n**3 + n**3 - 5*n**3)*(19*n - 23*n - 26*n).\nAnswer: 57*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 243435 + -1?\nAnswer: 243434","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 2*s. Let g(r) = 59*r - 20 + 63*r - 180*r - 7 + 56*r. What is x(g(v))?\nAnswer: -4*v - 54","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1824 divided by -114?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 8511511 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) be the second derivative of z**3\/2 + 2*z**2 + z. Let p(j) = j**2 - 4*j + 3. Let u be p(4). What are the prime factors of l(u)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*d**3 - 2332*d**2 - 121036*d - 445808 = 0 for d.\nAnswer: -149\/4, -4, 187","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 51*q**2 - 23*q**2 + 2*q + 2*q**2 - 28*q**2 + 2*q**3 to the form y*q + p*q**3 + n + s*q**2 and give s.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Add together 62.7 and -3927.3509057.\nAnswer: -3864.6509057","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tya when three letters picked without replacement from jatjjatjjyaajjjtjy.\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 124b9a (base 14) to base 16\nAnswer: 994d4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*u**5 + 475*u**4 + 6*u**3 + 8*u**2 + 4*u - 4?\nAnswer: -120*u**2 + 11400*u + 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 862 and 1724.\nAnswer: 1724","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -r + 4. Let l be z(6). Let h be (-1)\/l*4*1. Solve h*j = 5*t - 5, -5 = -3*t + j - 3 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 1 a when two letters picked without replacement from iawszzc.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 16*h. Let f(s) be the third derivative of s**6\/360 - 5*s**3 - 29*s**2. Let u(d) be the first derivative of f(d). Determine u(r(y)).\nAnswer: 256*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 2*z. Suppose 3*k - 4 - 2 = 0. Suppose -4*x = 0, -b + 4*x = k*b + 18. Let d = -17 - b. Let v(o) = 4*o. Calculate d*h(y) + 6*v(y).\nAnswer: 2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -278, -559, -840, -1121?\nAnswer: -1402","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 168 is divided by 35.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -395*i + 23 = 7*g - 398*i, -3*g = 2*i for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -33 - -36. Let r(o) be the first derivative of -8\/5*o - 4\/5*o**2 - 2\/15*o**n + 4. Factor r(f).\nAnswer: -2*(f + 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.86388ml in litres?\nAnswer: 0.00286388","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = a**2 + 9*a + 13. Let z be i(-9). Let m = z + 35. Calculate the remainder when 190 is divided by m.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -232*j - 19 + 42 - 255 = 0. Suppose y + 2*n + 15 = 5*n, 2*y - 4*n + 22 = 0. Let i = -56 - -33. Put y, j, i, -4 in increasing order.\nAnswer: i, -4, y, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide (105\/3)\/(1*(-3)\/(-12))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -2*z - 1. Let o be g(-2). Let j(w) = -4*w**2 + o*w**2 - 7*w**2. Let d(q) = -2*q**2. Give d(j(n)).\nAnswer: -128*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 125985 - -64286. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 46 divided by -13171\nAnswer: -46\/13171","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1469*f = 1477*f + 8 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 111101210221 (base 3) to base 11\nAnswer: 170193","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -55*x**3 - x**2 + 5*x + 5. Let q be o(-4). Let i be 0 + -1 + q\/(-714). Let k = i - -9\/17. Calculate the common denominator of -89\/22 and k.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -2*k**3 - 13*k**2 - 13*k. Is 10 a factor of q(-7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) be the first derivative of -j + 1. Let d(n) = -4 - 4 - n**3 + 3. Let r = -112 + 113. Give r*d(b) - 5*o(b).\nAnswer: -b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -r + 9. Let j(a) = -a + 8. Let z(f) = 6*f**2 - 242*f + 85. Let v be z(40). What is v*m(w) - 4*j(w)?\nAnswer: -w + 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -8 (base 13) to base 2.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 5 - 12\/18*6. Let p = 60 + -53. Suppose -p = 5*f - 17. Calculate the greatest common factor of q and f.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 572 minutes before 6:54 AM?\nAnswer: 9:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -852*j = -1276*j + 2120 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2)\/(-3)*972\/24. Solve b = 10*l - 3 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1 - -3. Suppose -b*y = -4*y - 20. Is 69\/5 - 2\/y a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) be the second derivative of a**6\/5 - 7*a**2\/2 - 11*a. What is the derivative of s(g) wrt g?\nAnswer: 24*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (7 - 5) + 1 - 0.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2472052*d - 2550 = 2472222*d for d.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -83135, -83185, -83233, -83279, -83323, -83365?\nAnswer: -83405","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -59 + 4*t**2 - 7*t**2 + 6*t**2 + 59.\nAnswer: 3*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -371 - -259. Let y = 486 - 5765\/12. What is the common denominator of 906\/b - (-6)\/(-21) and y?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 52, -5, 6 in increasing order.\nAnswer: -5, 6, 52","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d*d\/(d*(d*d**(1\/26))\/d)*d*d*d\/(d**(-2\/89)\/d) assuming d is positive.\nAnswer: d**(11533\/2314)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 26479 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that 4*c**2\/5 + 507646592*c\/5 + 16106566398075904\/5 = 0.\nAnswer: -63455824","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -m + 23*m. Is (m - 0\/(-7)) + 1822 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) be the first derivative of c**8\/840 + 4*c**3\/3 - 3. Let s(y) be the third derivative of i(y). Factor s(u).\nAnswer: 2*u**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 59 - 52. Suppose t*w - 3*w - 2*g = 202, 201 = 4*w - 3*g. Let j be 1\/(-3) + 1*w\/18. Which is the nearest to 0.3? (a) j (b) 2 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2003102031322 + 2?\nAnswer: 2003102031330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) be the first derivative of 3 + 0*q + 2\/3*q**3 + 9\/2*q**2. What is the second derivative of s(f) wrt f?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.02373 - -33.50627. Let a = 0.53 - c. Let z = -32.999924 - a. Round z to 5 dps.\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-10)\/(-25) - 1314\/(-15).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4643\/5 + 921. Suppose 3*f + 5 = -2*i, 4*i + 256*f - 262*f = -46. Which is greater: i or d?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 48 - 48.08. Suppose 2*t - 4*t + 2 = -k, 0 = k + 4*t + 2. Which is the nearest to 2\/7? (a) -1 (b) k (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -72 = -2*a - 2*a. Suppose -s - p - 3*p - a = 0, 2*p = s + 6. List the prime factors of ((-14)\/(-5))\/((-2)\/s).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4*y**3*z**3 + 5*y**3*z + 3*y**3 - 6*y**2*z**3 + 35*y*z + 78*z**2 + 3*z wrt z?\nAnswer: -24*y**3*z - 36*y**2*z + 156","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.4 (b) 1\/2 (c) 1323 (d) 1\/3 (e) 0.0691 (f) -0.03\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -28? (a) -0.2 (b) 583 (c) 0.8 (d) 0.2 (e) -0.4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 174 - -48 - (-160 - -243)\nAnswer: 139","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (4\/14)\/((-4)\/(-28)). Suppose -z*f = -4*f - 8. Let t(h) = h + 1. Let n(c) = 2*c - 2. Let p(s) = -n(s) + 4*t(s). What is p(f)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3\/55 - 153\/220. Calculate the common denominator of -57\/16 and z.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 119195 to the power of 1\/2, to the nearest integer?\nAnswer: 345","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 213*x**2 - 110. Is k(11) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 1 a when two letters picked without replacement from zlazlzllzaazadzla?\nAnswer: 25\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*m - c + 16 = 25*m, 5*m - 7*c = 44 for m.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 3*g**2 - 35*g - 12. Calculate b(11).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 324588767 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1.76 + 1.5. Let j = h + 0.16. Let d = 45\/2 + -22. What is the nearest to j in -5, d, -1?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 3 + 145*n - 93*n)*(n**3 - n**3 - 3*n**3) - 3*n**4 + 5*n**4 - n**4 to the form r*n**2 + q + j*n**3 + w*n + v*n**4 and give v.\nAnswer: -155","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (46\/(-4))\/(5\/90). Let g = 64 - p. List the prime factors of g.\nAnswer: 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 5, d: 5, q: 5, p: 2}. Give prob of sequence qqhh.\nAnswer: 5\/714","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) be the first derivative of -8 + 0*c**2 - 2\/3*c**3 + 0*c. Let l(b) = -8*b. Calculate l(i(j)).\nAnswer: 16*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 710, 720, 730, 740, 750, 760?\nAnswer: 770","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4 - 6. Let g(r) = -77*r + 11016. Let x be g(143). What is the nearest to 2\/3 in w, -0.5, x?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2535 + -1426. Suppose 5*j - 4*j + 1104 = 5*z, 5*z + 4*j - q = 0. What is the tens digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2481137?\nAnswer: 2481137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Add -38 and 15680091742.\nAnswer: 15680091704","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.0596 and 5.\nAnswer: 0.298","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 48*d + 146 wrt d.\nAnswer: 48","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 193*v**3*y**3 - 8*v**3*y**2 - 3*y**3 - 66*y + 3 wrt v?\nAnswer: 579*v**2*y**3 - 24*v**2*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -254422712 divided by 63605678\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 2*q = 4. Solve 0 = -q*w - 8 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 13163.4 times -6\nAnswer: -78980.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -146 times -20035?\nAnswer: 2925110","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -112*m - 1784. What is c(-16)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:01 AM and 11:56 AM?\nAnswer: 595","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (((-1)\/(-4))\/(259\/222))\/((-15)\/160)\nAnswer: -16\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence re when two letters picked without replacement from {b: 2, w: 2, e: 2, h: 2, r: 4}.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 60, 87, 126, 183, 264, 375, 522?\n\"Answer: h**3 + 20*h + 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.58627097 take away -5.6?\nAnswer: 5.01372903","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 825 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 161\/2, -2, -2\/59, -0.4 in increasing order.\nAnswer: -2, -0.4, -2\/59, 161\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 110 + -116. Put 0, 2, o, 3 in descending order.\nAnswer: 3, 2, 0, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 7*f**5 + 4*f**4 + 30948*f**3 + 52156*f**2 + f + 194.\nAnswer: 420*f**2 + 96*f + 185688","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.8 - 1.3. Let g = -0.6 - w. Which is the nearest to g? (a) 2 (b) 5 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17351.\nAnswer: 17351","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:31 PM and 7:53 PM?\nAnswer: 202","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 4*r = 2, 2*u + 2 - 4 = 5*r. Is 2\/7 < u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 64098 and 4374.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -212 + 3011?\nAnswer: 2133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -4*l**2 - 6*l - 6. Let i be (-16)\/(-3)*(-6 - 3). Let a be 1\/(-3 + i\/(-15)). Let t(j) = -7 - 6 - 8*j - 9*j**2 - a*j. Calculate -13*k(h) + 6*t(h).\nAnswer: -2*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + -1 + 2 + (sqrt(228)*3 + sqrt(228))\/sqrt(12) + 0)**2.\nAnswer: -8*sqrt(19) + 305","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-23 - -24)*-2 - (-1 + -2 + -39806)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -31*v**4 - 22*v**4 + 36*v**4 + (-v + 0*v + 2 - 4)*(3*v - v**3 - 3*v).\nAnswer: -16*v**4 + 2*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 11 = 3*q - 1, -k = 2*q - 1. Let t(h) = h**2 - 5*h - 7. Let r be t(k). Let g be r*2*(-1 + 1 + 2). What is the greatest common divisor of g and 42?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:07 PM and 1:55 AM?\nAnswer: 708","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 20270624 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1.181 - -0.762. Round h to one dp.\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -32424302 - -4?\nAnswer: -32424243","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 82*b - 489. Let y be w(6). Calculate the greatest common factor of y and 192.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 270033.33 and 5236996.\nAnswer: 5507029.33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(3\/8))**(15\/8) assuming q is positive.\nAnswer: q**(45\/64)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 21*(3\/(-4))\/((-210)\/80)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1994 or 1992?\nAnswer: 1992","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.6 - 1.3. Let f = r + -2.3. Is 0 bigger than f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 231 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -53 - -55. Solve 30 = 2*t - 4*s, 4*s = z*t - s - 35 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -259b + -1408?\nAnswer: -39a6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -3*-8*(-7)\/(-42). Suppose -6310 = -2*g + 2*i, 0 = h*g + g + i - 15775. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 3*t + 59 = t, -3*q = 2*t + 29. Let d = -11 - q. Suppose -8 = -d*i - 0*i. Calculate the lowest common multiple of 7 and i.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) be the first derivative of -q**8 - 67*q**4\/12 + 18*q - 58. Let j(z) be the first derivative of l(z). What is the third derivative of j(r) wrt r?\nAnswer: -6720*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = -o + 10 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 801416220?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2\/((-24)\/(-22035)) + 4. Let f = 1852 - n. Which is smaller: f or 12?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 44, 97, 148, 185, 196, 169, 92, -47?\n\"Answer: -2*d**3 + 11*d**2 + 34*d + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 916683 and 20001?\nAnswer: 177","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/9? (a) 4 (b) 1 (c) 3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 371929328 a multiple of 76?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 29059730033 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand 614*l**2 + 4*l**5 - 614*l**2 + 12 + 3*l**5 - 3*l**5 + 4*l**5 + (l**3 + 4*l**3 - 7*l**3)*(-l**2 - 3*l + 3*l).\nAnswer: 10*l**5 + 12","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 85.5 times -0.13?\nAnswer: -11.115","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s*s**18*(((s\/(s**(-10)*s))\/s)\/s)\/s assuming s is positive.\nAnswer: s**26","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand w**5 - w**5 - 2*w**5 + (3 + w**2 - 3)*(-3*w**3 - w**3 + 2*w**3) + w - w**5 - w + 3*w**3 + 3*w**5 + 0*w**3 + 10*w**5.\nAnswer: 8*w**5 + 3*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -25 - -31. Suppose -4*l + x = 0, -2*l - x + 3*x - b = 0. Calculate the least common multiple of 18 and (-1)\/((-52)\/48 + l).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -3*c - 15. Let j be t(-5). Suppose -8 = 2*z - 4*z + 2*d, j = -3*z - 4*d + 5. Solve -3 = -2*y - z*h, 5*y + h = -4 + 18 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 228783467?\nAnswer: 11, 17, 239, 5119","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3 - -9. Let p(a) = -4*a + 4*a + a. What is the units digit of p(x)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4234441 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -360 - -522. Does 27 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 37716 and 21.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3249.432cm to micrometers.\nAnswer: 32494320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -h**5 + 28*h**5 + 16*h**5 + (2*h**4 + 3*h**4 - 2*h**4)*(10*h - 3*h - 2*h).\nAnswer: 58*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ssssixx. Give prob of picking 1 i, 1 x, and 2 s.\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -634 - -634. Let t(o) be the first derivative of -o**2\/2 + 7*o - 3. Let p be t(5). Sort -3, l, p in ascending order.\nAnswer: -3, l, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3730?\nAnswer: 2, 5, 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 23 + -31. Let d = -8 - g. Let v = -1 - 4. Which is the nearest to 1? (a) v (b) 3 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*u + 89 = -145. What is the smallest common multiple of 1*6\/1*52\/u and 20?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1512239366 rounded to 4 dps?\nAnswer: 0.1512","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2509 - -2329) + (100 - -11).\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -2\/9, 5, -0.22, 28, 1\/3?\nAnswer: 28","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) be the first derivative of -5*t**3\/3 + t**2\/2 + t - 10. What is j(-1)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 73\/5 of a micrometer?\nAnswer: 14600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/19, -2\/536503, 1 in decreasing order.\nAnswer: 1, 1\/19, -2\/536503","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 481*q - 133. Let n be ((-3)\/2)\/(7\/14) + 11. Is i(n) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -16905*r**2 - 17402*r**2 + 2825*r**2 + 4421*r**2 - 6508*r**2 in the form z*r + b*r**2 + l and give b.\nAnswer: -33569","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -32854, -131515, -295966, -526207, -822238?\nAnswer: -1184059","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -3734052\/25 at least -149361?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 3004976 to the power of 1\/2, to the nearest integer?\nAnswer: 1733","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3833*r = 3811*r + 13 + 75. Suppose -6 + 1 = 4*b + x, 0 = -3*b + x + 5. Suppose -3*v = -b*v. Solve -5*l + 4 = -r*i, v = -3*l - 6*i + 4*i + 20 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of f*t*y**3 - 2*f*x*y**2 + 18*f*y**3 - 35658*t*x*y**3 - 11*t + 32*x*y**3 + 23*y**3 wrt t.\nAnswer: f*y**3 - 35658*x*y**3 - 11","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -2.91*3\nAnswer: -8.73","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 4 (b) -0.3 (c) 1 (d) 2\/5 (e) -307\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*x**3\/3 - 4*x**2\/3 + 446*x\/3 + 2080\/3.\nAnswer: -2*(x - 16)*(x + 5)*(x + 13)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2731 - -2875. What is the greatest common divisor of 45 and a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) be the first derivative of 1537*j**4\/4 - 1294*j**3\/3 - 1568. What is the third derivative of x(s) wrt s?\nAnswer: 9222","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*z - 2*z - 3*z - 3*z.\nAnswer: 6*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 36 in -0.7, -1, -2.3, -1\/2, -0.06, 24?\nAnswer: 24","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/(-87))\/((-6)\/216*6).\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = a**3 + 3*a**2 - 3*a. Let w(b) = -4*b**3 + b**2 - 1. Let q be w(1). Let c be t(q). Let u(p) = -8*p - 2. Is u(c) a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -2*g**2 + 98*g - 32. Let x(u) = u + 4. Let n(b) = i(b) + 8*x(b). Let q(p) = -2*p**2. Determine n(q(a)).\nAnswer: -8*a**4 - 212*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -157*t + 360*t - 262*t - 794*t.\nAnswer: -853*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11666*f - 1090453 = 313290 - 27155 for f.\nAnswer: -118","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:56 PM and 11:34 PM?\nAnswer: 98","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 9*n**5 - 9*n**4 - 65*n**3 + 25*n**2 + 94*n + 11. Let q(v) = -3*v**5 + 3*v**4 + 22*v**3 - 8*v**2 - 32*v - 4. Let o(y) = 4*m(y) + 11*q(y). Factor o(g).\nAnswer: 3*g*(g - 2)**2*(g + 1)*(g + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c + k = -k + 12, 0 = k - 3 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1898, -2874, -4518, -6842, -9858, -13578?\nAnswer: -18014","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1094053122 a multiple of 3539?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -3959 * -870\nAnswer: 3444330","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 481 minutes after 2:37 AM?\nAnswer: 10:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 184*c*f**3*i**2 + c*f**3 - 17*c*f**2*i**2 + c*f*i**2 + 363*c*i**2 + 15496*f**3 + 34*i**2 wrt f?\nAnswer: 1104*c*i**2 + 6*c + 92976","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*p + 7 - 10 + 13)*(27*p**2 + 367*p - 367*p).\nAnswer: -54*p**3 + 270*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -y - 6. Let x be w(-10). Suppose -3*v - x = v. Let r = 67 + -137\/2. Which is the third biggest value? (a) r (b) v (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 9*c - 22. Let w(u) = -5*u + 15. Let o(f) = -5*n(f) - 7*w(f). Let t(h) = -29*h + 14. What is -17*o(y) + 6*t(y)?\nAnswer: -4*y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 51*c + 1176. Give i(-23).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) be the second derivative of g**4\/12 - 12*g. Let a(j) = 7*j. Let y(x) = -11*x. Let i(u) = 8*a(u) + 5*y(u). What is i(d(b))?\nAnswer: b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = 3*u, 6*t + 3*u - 2046 = -2082 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 955 * -3622.\nAnswer: -3459010","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -1661 divided by -369368?\nAnswer: 1661\/369368","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 89\/2083610 and 13\/625083.\nAnswer: 6250830","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.1 and 908?\nAnswer: 90.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 54880*m**2*v**2 + 57*m**2 + 2656*v wrt v?\nAnswer: 109760*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 631224 (base 7) to base 14\nAnswer: 2b784","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-4)\/10 - 2742\/(-30)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5715.503323 + -0.224\nAnswer: 5715.279323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 3 (b) -2\/37 (c) -35 (d) -1\/7 (e) 0.032 (f) -14\/39\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 7*f - 2. Let x(w) = -w + 1. Let v(r) = 6*r - 5. Let c(l) = v(l) + 5*x(l). Give c(j(m)).\nAnswer: 7*m - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 1, t: 3, j: 2, o: 4, a: 6}. Give prob of picking 1 f and 1 t.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.24 + -0.2. Let i = s + -1.04. What is the smallest value in -1\/6, i, -2\/7?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000001431 to 6 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13197951 + 3072171 = -14*l. Let q = -1096730 - l. Round q to the nearest 100000.\nAnswer: -1800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - 14) + -53 + 71?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -115\/32438136 and 7\/12164301?\nAnswer: 97314408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 280*o**2 - 17*o + 24. Is 37 a factor of h(2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31357 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 222104 (base 11) to base 16.\nAnswer: 5677b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 13917765?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -10 - 17. Suppose 2*t - t = 47. Let y = t + n. Is y a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5 - 74. Suppose 19*m = 70*m - 102. Let y = m - z. Is 9 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 43425, 86846, 130263, 173676, 217085, 260490, 303891?\n\"Answer: -2*v**2 + 43427*v","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 4, 5.2, -16, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 3*m**3 - 5*m**2 - 6*m - 4. Let i(j) = 13*j**3 - 20*j**2 - 24*j - 17. Let s(f) = 2*i(f) - 9*u(f). Give s(6).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.424376 nanoseconds to milliseconds.\nAnswer: 0.000009424376","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33*m - 22566 = -45396 + 23391 for m.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 23\/128 and -95\/2.\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/3? (a) -0.03 (b) 1\/3 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -q**3 - 151*q**2 - 1820*q - 273. What is the units digit of g(-139)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -30 less than -502203?\nAnswer: -502173","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1736 = -891*m - 3610 for m.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) be the second derivative of -1\/4*j**4 + 0 + 4*j + 0*j**2 + 0*j**3. Let c(b) be the first derivative of 3*b**2\/2 - 33. Give c(l(x)).\nAnswer: -9*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 201 is divided by 98?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 10*p + 165 = 0. Let x be (10 - 2) + -11 + p. Solve -6*z = -2*z - 3*k + x, -3*k = -5*z - 15 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 201875?\nAnswer: 5, 17, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 38 + -25 + -57 - 13.\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*d + k = 2*d + 109, d - k = 26. What is the units digit of d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + sqrt(2057) + sqrt(2057)*2)**2.\nAnswer: -330*sqrt(17) + 18538","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3.186 + 2.18577. Let m = 1 + v. What is m rounded to 4 dps?\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/4? (a) -4 (b) -0.0155 (c) 1\/5 (d) -17 (e) 0.4 (f) -0.09\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 191*b**6 - 302*b**2?\nAnswer: 22920*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 1.1817+0\nAnswer: 1.1817","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j = 2*t + 1581, -3*t = 2*j + 2*t - 644. Suppose -319*r + 536 = -j*r. What is the hundreds digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -25*k + 12*k - 65*k**2 - 220 + 32*k**2 + 31*k**2 - 29*k.\nAnswer: -2*(k + 10)*(k + 11)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6290432?\nAnswer: 2, 6143","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -46 (b) -4 (c) -0.77 (d) 3 (e) 4 (f) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-392)\/12)\/(19\/21 - 1). Suppose -2*l - 6517 - i = 0. Round l to the nearest one thousand.\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j = w + 20*j - 11*j - 9*j - 215, -w - 156 = 3*j for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a micrometer in nanometers?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 45, 106, 261, 552, 1021, 1710?\nAnswer: 2661","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/((6\/(-9))\/2)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 6185 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 < 7\/2013315?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -8*55 - 14\/(-2). Let s = 1301 + k. What is the units digit of s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5818?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 525014*k = 3*u + 525017*k, -6 = 2*u - k for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -31 - -32. Suppose 1 = 3*n + w. Calculate the smallest common multiple of 2 + n + (-16)\/((-10)\/5) and 24.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -6*10\/(-15) + 4. Let u = f + -3. Suppose 0 = 5*b - 4*q + 5*q - 8, 3*q = 4*b + u. Solve -b = -g - 6 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -d**3 + 18*d**2 - 14*d - 24. What is the remainder when v(17) is divided by 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3086 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -155 - -244. Suppose -z + 4*k = 4*z + 246, 5*z = 3*k - 247. Let a = z + n. Does 13 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.209 less than -9126439?\nAnswer: -9126439.209","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 996 + 5196 = 5*z, 4*z = 4*b + 4960. Is z a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -181*w - 6152. What is i(-34)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2802 - 3910 + 904 = -242*m for m.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a = x + 4 + 1, 0 = -2*x + 3*a + 12. Solve -5*y - 13 = -x for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2392?\nAnswer: 2, 13, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h + 16 = -2*d - 5*h, 29*h - 26*h = 5*d + 40 for d.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1 - 4. What is the remainder when 14 is divided by (-3 - (0 + f)) + 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 18\/133 + -8\/19. Let f = -4.4 + 3.4. Let d = 6572.47 + -6572. Which is the nearest to f? (a) k (b) -1\/3 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 72 + -67. Suppose -51 = -s*f + 144. Let v = f - 12. What are the prime factors of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 22777103 and 2648.\nAnswer: 331","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 114 and 7.\nAnswer: 798","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -7 + 103. Which is greater: c or 95?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 226437036901 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -7635167 + 3659167. Round s to the nearest one hundred thousand.\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(12)\/(sqrt(8)\/sqrt(2)) + 4.\nAnswer: sqrt(3) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 208516675 to the nearest integer?\nAnswer: 593","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = o**3 + 14*o**2 + 18*o + 38. Calculate i(-13).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 222 = 1549\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1270829?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 23*k**2 - 33*k**2 + 4*k - 31*k**2 to the form i*k + v + p*k**2 and give p.\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2030651?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -133*h - 1035. Let x(y) = -47*y - 345. Calculate -6*p(c) + 17*x(c).\nAnswer: -c + 345","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -2*28\/24 - 8\/12. Let s = -0.4 + 0.2. Let g = 1.8 - s. Which is the nearest to v? (a) g (b) 0.1 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -12579 + 12592. Let g(o) be the first derivative of -4*o - 1\/2*o**2 + i. Determine g(5).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 405 minutes after 10:21 PM?\nAnswer: 5:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 138669989?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3179449555 to the nearest integer?\nAnswer: 1470","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 119549 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -4*((-10)\/(-4))\/(-5). Let x = 180 + -189. Let t be (-1 - x\/4) + (-12)\/(-16). Solve -t*k - b*k - 8 = 0 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3092732*m**2 + 9323071*m?\nAnswer: -6185464","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*j**2 + 7*j**2 + 0*j**2 - j - j**2 to m*j + u + n*j**2 and give m.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -71247*j**4 + 2*j**2 - j - 23266 wrt j.\nAnswer: -1709928*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 579508?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 91 a factor of 112457?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3036 = -22*y + 2882. Which is smaller: y or 270?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -50251\/18 - -2791. Let g = 23 + -22. Let x = m + g. Calculate the common denominator of x and -9\/22.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 0, -13 in descending order.\nAnswer: 2, 0, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (11 - -1) + -4 - 5. Let u(n) = 5*n**3 + 7*n**f - 10*n**2 - 8*n - 7 - 11*n**3. Calculate the remainder when u(11) is divided by 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.168043079 to 5 dps.\nAnswer: -0.16804","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 229\/798 + -1\/798. Suppose 24 = 4*p - 36. Suppose 0*g - 5*g = -p. What is the nearest to d in g, -2, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5365224?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 3833 (base 11) in base 8?\nAnswer: 11605","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -b3 (base 12) to base 13\nAnswer: -a5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = q**3 + 18*q**2 + 17*q - 4. Give l(-17).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = j**3 - 2*j**2 - 9*j - 8. Give b(-1).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3.549622 hours to milliseconds.\nAnswer: 12778639.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2\/11, 5\/4, 5555?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10931*r - 21880*r + 10918*r.\nAnswer: -31*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 14*h**4 + 136*h**3 - 136*h**3 - 11 wrt h.\nAnswer: 56*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 310222321 (base 5) to base 11\nAnswer: 78a038","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3633673 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -6\/5 or 77?\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in -5, -0.2, 0.1, -0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*c - 33 + 53, 5*v = 5*c - 40 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 1011*j - 6397. Calculate l(3).\nAnswer: -3364","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 175 and 18925.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/3 in -0.4, -3, -290, 17\/4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 117.34, -30, -11?\nAnswer: -30","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.14 - 0.76. Let v = y + 1. Which is bigger: v or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 4*h**3 - h**2 + h. Let p be r(1). Solve d = -1, 2*d - 3*d = -p*n + 5 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -8826, -8655, -8484, -8313, -8142?\n\"Answer: 171*s - 8997","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -0.3 (b) 23 (c) 2240 (d) 0.1 (e) -1.5 (f) 0.11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10\/12 - 2958\/2448 - 11\/(-8).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1664 and 305552?\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 44849 is divided by 69?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000129472 rounded to five dps?\nAnswer: -0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -i**4 - 28*i**3 - 65*i**2 - 66*i - 22. Let o(h) = 4*h**4 + 142*h**3 + 326*h**2 + 330*h + 109. Let q(p) = -2*o(p) - 11*z(p). Factor q(d).\nAnswer: 3*(d + 1)**2*(d + 2)*(d + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 164923*k**5 - 29*k**2 + 34*k + 5?\nAnswer: 9895380*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 126 + -376\/3. What is the third biggest value in 12, t, 5?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-2)\/2)\/3)\/(2330\/13980).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8\/16)\/((6\/32)\/3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m**0\/m)**29\/((m*m\/m**19*m)\/m*m**17))**(3\/4) assuming m is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1.1 + 0.6. Which is the closest to -0.2? (a) 0.5 (b) q (c) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -b**4\/4 + 84102*b**3 - 14151506171*b**2\/2 + 438454255026*b - 27179153769769\/4.\nAnswer: -(b - 168173)**2*(b - 31)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 166 a factor of 6905600?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2137063 or 2137065?\nAnswer: 2137065","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -0.7, 62, -0.1, -1271 in descending order.\nAnswer: 62, 2, -0.1, -0.7, -1271","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 21\/220 and -103\/44.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Total of -4 and -0.4096.\nAnswer: -4.4096","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: ((40\/(-36))\/5)\/(103\/(-1854))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*f**3 + f**3 + 4*f**3)*((-40 - 23 + 13)*(0 - 1 - 1) + 6 - 4 - 3).\nAnswer: 198*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (7361\/1299)\/(2\/15)*24\/34.\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 26688\/33360*265\/2.\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0\/(-1) + (-6)\/36*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 174421068?\nAnswer: 2, 3, 14535089","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -282*f - 1974. Let t be o(-7). Sort -2\/3, 26, 2, t, -0.1 in descending order.\nAnswer: 26, 2, t, -0.1, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gqgggggqggqggggqgg. Give prob of picking 1 g and 1 q.\nAnswer: 56\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14 + -1 + (-5 + -6 - -10) + 1.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*p + 2*p - 8*p - 3*x + 3, -x = 4*p - 10 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.165, -2\/5, 1\/4, 2?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 105 and 413742.\nAnswer: 2068710","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by -47236.\nAnswer: -1\/47236","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1979889 is divided by 110.\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19*h**3 - 18*h**3 + 31*h**3.\nAnswer: -6*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 268\/35 + -9869\/105. Let h = c - -87. Factor h*k**2 - 2\/3*k - 2\/3 + 2\/3*k**3.\nAnswer: 2*(k - 1)*(k + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**6\/b*(b\/((b\/b**(-29))\/b))\/b)\/(b\/(b*b**(5\/3))*b**(-14\/3)))**(1\/10) assuming b is positive.\nAnswer: b**(-53\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -39a3b (base 13) in base 8?\nAnswer: -321274","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 319.23 and -64?\nAnswer: 383.23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -5, -4 in increasing order.\nAnswer: -5, -4, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/(-2))\/(69\/92).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 12\/12*(25\/10)\/(24\/(-48))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 495493*a**4 + 659563 wrt a.\nAnswer: 1981972*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - (-28)\/6) + -18 + (-885)\/(-59).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 16, 2, -13, 104, 5 in descending order.\nAnswer: 104, 16, 5, 2, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -349 = -5*b + 36. Let n = 2 - -9. Suppose -7*p + n*p - 64 = 0. What is the remainder when b is divided by p?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -28*x + 56*x - 32*x. Let g(y) = 10*y + 8. Let v(a) = 11*a + 10. Let h(n) = 5*g(n) - 4*v(n). Calculate h(u(w)).\nAnswer: -24*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -4*z + 2. Suppose 6*g - 16 = z*g. Suppose -k + 3 = -4*k - j, -g*k + 7 = 5*j. Do k and -0.05 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 184932707 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wf when two letters picked without replacement from {o: 12, s: 2, m: 1, f: 2, w: 2}.\nAnswer: 2\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -20408490 divided by 786\nAnswer: -25965","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-4))**(-3\/37)*(s**(-1\/37))**(10\/11) assuming s is positive.\nAnswer: s**(122\/407)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 487 + -908. What is p rounded to the nearest 100?\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -3*w + 4*d - 3, 3*d - 5 = 4*w. Sort 25, w, 4 in increasing order.\nAnswer: w, 4, 25","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 10*x**2 - 6*x + 5. Let t = 8438 + -8439. Let c(g) = -g**2 + g - 1. Determine t*y(v) - 6*c(v).\nAnswer: -4*v**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) be the second derivative of 2 + 46*b + 1\/24*b**4 + 19*b**2 - 77\/12*b**3. Suppose z(s) = 0. What is s?\nAnswer: 1, 76","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2406 = -8*a + 2274. What is the hundreds digit of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = r**2 + 10*r + 15. Calculate v(-2).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 51362*j*o**2*p**2 + 365*j*o**2 + 36334*j*o*p**2 + 39*j*o - o**2*p**2 + 10*o*p**2 wrt o?\nAnswer: 102724*j*p**2 + 730*j - 2*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 392, 391, 390, 389, 388?\nAnswer: 387","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*z - 8*z - 135*z**2 + z - 3*z.\nAnswer: -135*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 2*j + 9. Calculate p(-3).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-6)\/48*-232 + 4 + 0. Let k(s) = -s**3 + s - 29. Let j be k(0). Let f = r + j. Solve 7 = f*p - q + 3, p - 18 = -4*q for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -43014043 (base 5) to base 14\nAnswer: -95559","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -v + 5*d + 9, 2*d = v - 14. Suppose 26*r - v*r = 4056. What is the hundreds digit of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 - (1 - -5) - -1.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + 9 = 0, -14 = -2*x + o + 97. Let q be (16 - -1) + 1 + 0. What is the greatest common divisor of q and x?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00352 rounded to four dps?\nAnswer: 0.0035","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -269*b**4 + b**3 + 11 with respect to b.\nAnswer: -1076*b**3 + 3*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/4? (a) -0.1 (b) 1\/8 (c) -309\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 47 divide 470?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -18 - -20. Suppose t = y*t - 678. Does 23 divide (-2)\/(-3) - t\/(-9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y = -3*w + 467, -2*w = -0*y - 2*y - 314. Let m = w - 79. Round m to the nearest ten.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1893 + -1898. Let m = -12 + 8. Sort m, 3, s in descending order.\nAnswer: 3, m, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 478*p**2*w**3 - 7*p**2*w**2 - p*w**2 + 23080*w**3 wrt p?\nAnswer: 956*p*w**3 - 14*p*w**2 - w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1547740 is divided by 258?\nAnswer: 256","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 2874797 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 51\/329020 and 119\/5823654.\nAnswer: 58236540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3638698501\/7814 + -465664. Which is greater: d or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -7819, -7822, -7837, -7870, -7927, -8014, -8137, -8302?\n\"Answer: -a**3 + 4*a - 7822","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.5 (b) -1\/3 (c) -4985\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 11*n + 4 - n - 5*n - 4*n. Let c be k(0). Suppose 3*m = c*q + 630 + 37, q + 1 = 0. Is m a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 121 minutes before 2:42 PM?\nAnswer: 12:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-7)\/(-2))\/((-2)\/(-80)). Suppose 3*k - 3*v - l + 23 = 0, -3*k + 5*v + 127 = 0. Suppose -14 = -4*c + k. What are the prime factors of c?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 6 + ((-45)\/5)\/3. Suppose 0 = d - l + 29, 2*l + 17 = t*d + 108. Let m = 48 + d. Is m at most as big as 14?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -65\/8598 and -65\/4.\nAnswer: 17196","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -2*y**3 + 4*y + 7. Let z(j) = -2*j**3 + 5*j + 8. Let k = -570 + 592. Suppose -15*s + k = 82. Determine s*v(i) + 3*z(i).\nAnswer: 2*i**3 - i - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 137623980?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 82 = -2*b, -h = 2*b - 4*b + 44. Let d = 39 + h. Is d smaller than 6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -14697 + 14696. What is the nearest to 1\/4 in 306, n, -5, 4\/5?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -6*s**3 - s**2 + 2*s - 1. Let m = -510 + 511. Let x be (-120)\/(-135) + (m - 8\/9). Let z(q) = q**3 + q**2 + 1. Give x*n(t) + z(t).\nAnswer: -5*t**3 + 2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3715 - 3713.8. Put 1\/3, -0.5, z, 4 in increasing order.\nAnswer: -0.5, 1\/3, z, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2 - -4. What is the lowest common multiple of -3*((-62)\/h + 3) and 6?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(120)\/sqrt(128))\/(sqrt(605) - (sqrt(605) - (1*sqrt(605) + sqrt(605)))).\nAnswer: sqrt(3)\/88","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**4\/d**(3\/7))**(-1\/4) assuming d is positive.\nAnswer: d**(-25\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1183611.8575736 - -2336121.85758. Let d = p + -1152516. Let b = 6 + d. Round b to 6 dps.\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*u - 2*u - 6*u)*(236*u**4 + 189*u**4 + 115*u**4 + 141*u**4 - u**2).\nAnswer: -3405*u**5 + 5*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 552?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 397 = 12*p - 11*p, -p - 1563 = -4*g. Does 15 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) be the third derivative of v**4\/24 + v**3\/6 + 2*v**2. Is p(5) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -550545*u**3 + 1128*u**2 - 3*u - 25?\nAnswer: -3303270","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gtgtttgtggttt. What is prob of sequence tgtg?\nAnswer: 28\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -p**2 - 2*p + 1. Let c be t(-2). Let f = 3 - c. Let x(a) = -23*a**f - 3*a + 3*a + 0*a. Let b(h) = -h**2. Calculate b(x(y)).\nAnswer: -529*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 308 - 134. Suppose 4*x + 33 - p = u, -4*x = 4*u - 136. Let l = 53 - x. What is the highest common factor of 3 and l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 64, 132, 212, 310, 432?\nAnswer: 584","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-36)\/(-10) - 4 - 81\/(-15). Solve 3*o - f*o = l + 7, 2*o = -4 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -523 + 523. Is u smaller than -5\/6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q = -5*o - 3, q = 4*o - 10 + 4 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k = -4*v - 16, -98*k + 13 = -v - 94*k for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -33db8 (base 14) in base 12?\nAnswer: -6103a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7.4159l to millilitres.\nAnswer: 7415.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 271393 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3641?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 198*i - 3232 - 5678 for i.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1.0822 + 0.0822. What is the nearest to i in 0.1, -8\/5, -1\/4?\nAnswer: -8\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -34*b + 35*b + 6. Let n(w) be the first derivative of w**4\/4 + 7*w**3\/3 + 4*w**2 + w - 2. Determine n(b).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (108\/96)\/(4\/((-1440)\/27))\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(-18)\/(t\/(t\/(t\/t**(9\/7)))))\/(t\/((t\/(t\/(t**(-1\/29)\/t)))\/t)*t**(-7\/2)))**(-4\/13) assuming t is positive.\nAnswer: t**(14006\/2639)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1857?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 231738 to the nearest 100000.\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 954971 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -f**3 - 23*f**2 - 43*f + 7. Let u be c(-21). Solve -4*p - 17 = 2*h + h, -3*h = -5*p - u for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 70*n**2 - 3*n + 73. Let b(w) = -139*w**2 + 5*w - 122. Calculate 10*a(p) + 6*b(p).\nAnswer: -134*p**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c = 14 + 18. Suppose -13*g = -9*g + 104. Calculate the remainder when 4 is divided by (-1)\/4 - g\/c.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1571076*i**6 + 38411*i**2 + 2*i - 9 wrt i.\nAnswer: -188529120*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -0.188, 1, -3, 0.5, 2, -2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 139589 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -107609182228462 - -3.\nAnswer: -107609182228459","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rjlrrrjjjr. What is prob of sequence lr?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -7 + (1*42 - 2)*306225\/90 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -z**2 - 3. Let i(q) = 7*q**2 + 3*q + 4. Determine -i(j) - 2*r(j).\nAnswer: -5*j**2 - 3*j + 2","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Expand 4*m - 4*m + m + 4 - 4 - 2*m + (-2 + 3 - 2)*(-1 + 2*m + 1 + 3*m + 2 - 2 + (2*m + 0*m - 4*m)*(-2 + 2 - 1)).\nAnswer: -8*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = v - 2. Let o be l(0). Let n(r) = -2*r. Let m be n(o). Let x be 1 - (6 - 4) - 0. Which is the closest to x? (a) m (b) -2 (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1520 and 1.07?\nAnswer: 1626.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) be the third derivative of 2*b**5\/15 - b**4\/6 - 7*b**3\/6 + 152*b**2. Let n(p) = -7*p**2 + 3*p + 6. Determine -7*n(f) - 6*y(f).\nAnswer: f**2 + 3*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 9*d - 118*d**4 + 5*d**2 - 7*d**2 + 2*d - 2*d**2 - 341*d**4 wrt d.\nAnswer: -11016*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + 4 + 3 + -1 + -1?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -8 - -9 - (-12 - -4). Let q(k) = k. Let u be q(3). Suppose h - 4*l = -o, -l + 0 = -u. Solve -4*v - 3*c - h + 0 = 0, 0 = -v + c + 1 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4.183 - -0.817. Which is the second biggest value? (a) 1 (b) q (c) 4 (d) -1.9 (e) -5\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*p**3 - 251*p**2 + 773*p**2 - 4*p + 141 - 260*p**2 - 261*p**2 as z*p + q*p**3 + r*p**2 + o and give z.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 70*t. Let u(p) = 23*p. Calculate -3*m(n) + 10*u(n).\nAnswer: 20*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 7.858156 centuries?\nAnswer: 9429.7872","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -16 + 20. Solve -4*a**2 - w*a**3 + 6*a**4 - 12*a**4 + 5*a**4 = 0 for a.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 1, j: 2, e: 1, f: 1, i: 2, z: 1}. Give prob of sequence egf.\nAnswer: 1\/336","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 = 5*k + 5*p - 3, 5*k - 35 = 3*p for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 404 minutes after 6:56 PM?\nAnswer: 1:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 192*p + 3*z + 20 = 190*p, 7*z = -14*p for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15\/477*1*49\/(3675\/90).\nAnswer: 2\/53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 170 and 50?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 175 (base 15) to base 10.\nAnswer: 335","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 485, 1597, 3365, 5789?\n\"Answer: 328*f**2 + 128*f + 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14.5*-0.2.\nAnswer: -2.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -200 and -0.2?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 37.3 in -0.01, -3, 4, -1, -5, 0.08?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = l**3 + 27*l**2 + 22*l - 30. Is c(-26) a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 680 minutes before 12:07 AM?\nAnswer: 12:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 101*v - 1120 = 66*v. Suppose -3*r = 3*g - g - 23, r + 3*g - 10 = 0. What is the remainder when v is divided by r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1457\/372*6 + 14\/(-4).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(1\/7)*u*u**(-2\/3)*u*u**(-3)\/u*u**(1\/8)\/u assuming u is positive.\nAnswer: u**(-571\/168)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 201 - 85. Let f(i) = -29*i**3 + i + 1. Let p be f(-1). What is the greatest common factor of m and p?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -799*j**5 + 190*j**4 + 78*j**4 - 268*j**4 + (j**4 - j**4 + j**4)*(2 - 2 - 2*j) + 0*j + 0*j + j**5.\nAnswer: -800*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -243 - -245. Let k = 36 + -24. Let c(m) = -35*m**2 + k*m**2 + 16*m**l. Let j(f) = f. Determine c(j(q)).\nAnswer: -7*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22*g + 4070 - 4070.\nAnswer: -22*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 39 divide 112887294?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (sqrt(36)\/sqrt(2)*2)\/sqrt(6) - (sqrt(225)*4 - sqrt(9))\/(sqrt(3) + (1*sqrt(27) + sqrt(27) + sqrt(3) - sqrt(3))).\nAnswer: -5 - 5*sqrt(3)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -35*y - 491. Give c(-14).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 7. Let x(v) = 3. Let p(w) = -2. Let l(g) = 5*p(g) + 3*x(g). Let o(i) = j(i) + 6*l(i). Let r(y) = -y - 2. What is 6*o(u) + r(u)?\nAnswer: -u + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (6*s + 2*s + 3*s)*((3 - 3 + 1)*(1 + 0 - 5) + 2 - 3 + 3)*(3 - 3 + 1) to the form l + o*s and give o.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -8*u**3 + 7*u**2 - 76*u + 338. What is p(4)?\nAnswer: -366","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zw when two letters picked without replacement from eezezssweweewzw?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v - 16*a - 78 = -3*v, 28*v - 80 = 33*v + 15*a for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = o**2 + 4*o + 1690. Is z(0) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 148.74 - 0.74. Let v = y - 147.796. What is v rounded to one dp?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -38 - -33. Let j = 2.4 - 0.4. Let w = -0.24 - -0.44. Which is the closest to w? (a) h (b) j (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) be the second derivative of -z**7\/42 + 41*z**6\/10 + 71*z**3\/6 + z**2 - 57*z - 6. Find the second derivative of m(n) wrt n.\nAnswer: -20*n**3 + 1476*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1637 is divided by 227.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*-1*sqrt(119)*-4)\/(-1*(sqrt(7) + (sqrt(7) + sqrt(112))*-6)).\nAnswer: 4*sqrt(17)\/29","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 15*(-1 + 8\/12)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -5235884 or -5235927?\nAnswer: -5235884","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 59946, 59966, 60004, 60066, 60158, 60286?\n\"Answer: r**3 + 3*r**2 + 4*r + 59938","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence toq when three letters picked without replacement from {q: 1, c: 1, t: 1, o: 2, a: 1, p: 2}.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i**(-4\/3)\/i)\/(i*i**(1\/2)))\/((i*i*i*i**(-1\/4))\/i*i**0\/i))\/((i**(2\/7))**(-1\/21)*i**7\/(i*i**(-2))) assuming i is positive.\nAnswer: i**(-7391\/588)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 291 - 519. Let o be 20\/(-21)*b\/(-95). Put -3\/2, 2\/3, o in descending order.\nAnswer: 2\/3, -3\/2, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -57*h = 2*r - 54*h + 22, r = -5*h - 25 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -5*w + 1. Let d be a(-6). Let b = -62 - -91. Suppose -10*s - d + b - s - 12*s**2 = 0. What is s?\nAnswer: -2\/3, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(4840) - sqrt(4840)*2 - sqrt(40))\/(sqrt(80)\/(sqrt(30)\/sqrt(3))) - (3 + (sqrt(45)\/(sqrt(9)*2) - (1 + sqrt(5) + 5))).\nAnswer: -23*sqrt(5)\/2 + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 0\/((-24)\/(-16)*(-4 - -2)). Let q(t) = -t. Give q(n).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1607169.\nAnswer: 3, 37, 14479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1196905?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*((-2)\/20)\/((-3)\/30)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1431*s - 7658*s + 836188 = 0 for s.\nAnswer: 92","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -61*z = -43*z + 57*z - 300. Solve 0 = -y + 3*u - 7, 4*y + 5*u + z = 9*u for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = s**2 + 10*s - 14. Let y(c) = c - 2. Let u(i) = n(i) - 4*y(i). Calculate u(-6).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -83*r**3*v + 2*r**3 + 2*r**2*v + 60697*r**2 + 886*r*v + 9*r + v + 57 wrt r?\nAnswer: -498*r*v + 12*r + 4*v + 121394","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*j + 1050 = 58*j. Let u(g) = -g**3 - 13*g**2 - 25*g + 7. Let a be u(-11). Calculate the highest common factor of j and a.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -118 - -84. Let t = g - -120. List the prime factors of t.\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3\/4*l**3 - 15\/4*l**2 - 18*l + 0 = 0.\nAnswer: -3, 0, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -101, -385, -857, -1511, -2341, -3341?\nAnswer: -4505","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -57 - -59. Suppose 0 = q*d - 0*d - 176. What is the tens digit of d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -232, -289615, 4, -1\/3, -4?\nAnswer: -289615","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 378609723 to the nearest integer?\nAnswer: 19458","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 471 at least as big as 470?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (16\/(-24))\/(1\/33). Let w be 4\/i - 105\/(-33). Solve -3*z - 16 = -5*n, 7*n = w*n - 2*z + 26 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 65 - 35. Let i = 39 + -33. Suppose r = i*r - t. What is the units digit of r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00199574415 to 7 decimal places.\nAnswer: 0.0019957","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.01011665154 to 3 dps.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (12 + -6)*8\/84. Which is the smallest value? (a) 7 (b) -1\/2 (c) 0.4 (d) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 9*r - 39. Let j be k(5). Let o(p) = -p**2 + 12*p - 31. Let y be o(j). Sort -2, y, 63.\nAnswer: -2, y, 63","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.6, -1416, 2\/7.\nAnswer: -1416, -0.6, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5.8914756us to days.\nAnswer: 0.000000000068188375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -11 - -17. Suppose 2*u - j = -0*u. Solve 0*v = u*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10090710 a multiple of 133?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of (20\/(-25))\/(8\/(-8140) + -3 - -3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 113422367?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 190817686?\nAnswer: 2, 95408843","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3615 rounded to 2 decimal places?\nAnswer: -0.36","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2)\/(-15) - 80\/225. What is the fourth biggest value in 0.2, 1, b, 3?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ybfwwybymqyq. What is prob of picking 2 q?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 9 and 24.85?\nAnswer: 223.65","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -48387*o**4\/4 + 17319879*o**3\/2 - 4629913671*o**2\/4 - 127674981*o - 3519327 = 0 for o.\nAnswer: -7\/127, 178, 538","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.5, -1105, 22?\nAnswer: -1105","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -309*f + 315*f - 36 for f.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1813821?\nAnswer: 3, 157, 3851","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (11\/(-2) + 3)\/(2\/4)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 55914515.\nAnswer: 5, 67, 166909","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 176\/(-12) + (-1)\/2. Suppose -96 = -12*v - 276. Which is smaller: a or v?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -288 - -288.2. Which is the nearest to y? (a) -2\/7 (b) 0.2 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 204 minutes after 5:04 PM?\nAnswer: 8:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(539) + sqrt(539) + -2)*-6 - sqrt(539) - sqrt(539)*1*1 - (-2*(0 + sqrt(539))*-5 + -1))**2.\nAnswer: -4368*sqrt(11) + 310633","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2099*o + 923*o - 842*o + 996*o + 837*o.\nAnswer: 4013*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -243, -248, -253, -258, -263?\nAnswer: -268","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2410463 + -5?\nAnswer: 2410455","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -210024.11 + 210024. Let h be 0\/((-1 - 1)*1). Let i be -2*(h + 2) - 0. Is i less than or equal to k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from sggisikgsgkkagi. What is prob of picking 1 g, 1 a, and 1 s?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - 2*n = 0. Let f be -3 + (n\/(-1) - -3). Is -6\/5 != f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = f - 5*d + 1083, 5*f - 5359 = 3*d. What are the prime factors of f?\nAnswer: 29, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5\/4? (a) 3 (b) -4\/7 (c) 34\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p = -2*p - l - 11, 3 = -p - l. Let u = -5 - -5. Which is smaller: p or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 10) to base 15\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 37*t**3 + t**2 + 3*t - 5. Let r = -12 + 14. Is u(r) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((23920\/(-24))\/115)\/(1\/((-6)\/(-8))).\nAnswer: -13\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4.6 - -5. Let y(o) = 3*o**2 - 6*o - 6. Let a be y(3). Sort 0.1, t, 1\/5, a in descending order.\nAnswer: a, t, 1\/5, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b - 3*u = 3, -6*b = 5*u + 8 - 3. Solve b = -2*y - 6, 0*y + 2*y = -2*d + 2 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1848840 to the nearest integer?\nAnswer: 1360","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 13*p**3 - 607*p**2 - 4129*p - 88. Calculate c(-6).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = m**2 - m - 20. Let y be i(8). Solve 0 = f + 31 - y for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(17))**2 + sqrt(17))*4 + sqrt(204)\/(sqrt(12)*1).\nAnswer: 5*sqrt(17) + 272","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4*m**6 - 199*m**4 - m**3 - 487*m**2 + 21.\nAnswer: 480*m**3 - 4776*m - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = k**2. Let n(v) = -4*v. Let y(r) = 15*r + 6. Let h(o) = 29*o + 11. Let z(f) = 6*h(f) - 11*y(f). Let b(l) = -7*n(l) - 3*z(l). What is q(b(c))?\nAnswer: c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 976378 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: What is the third derivative of -265*f**6 + 88*f**2 - 224*f**2 - 292*f**2 wrt f?\nAnswer: -31800*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4248, -4238, -4240, -4254, -4280, -4318, -4368?\nAnswer: -4430","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i + 2 = -3*f - 1, 2*f = -i - 2. Suppose -5*o + 63 + 172 = i. What is the tens digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(72)\/(-3*sqrt(726)) + -6*(sqrt(300)*-5 + sqrt(300))))**2.\nAnswer: 188084172\/121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1921101?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -103*r**3*t**3*v**3 + 4*r**3*t*v - 20689*r**3*v**3 - 3*r**2*t**3*v**2 - 2*r**2*t**3 + 535*t**3 - 83*t*v**2 wrt v.\nAnswer: -618*r**3*t**3 - 124134*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 - (2 + -3 + -4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 12124 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - h = -12. Let v be h\/21 + (-65)\/(-7). Let q = -5311 + 5351. Solve 4*g + n = 6*n + q, v = 5*g + 4*n for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -u**2 + 5. Let k be i(0). Suppose -3*n = -r - 6, -k*r + 3*r = 4*n - 18. Suppose 5*z - a + 5*a = 107, -4*z = -r*a - 98. Is 7 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3728\/3 - -1264. Suppose 7*p - 199 = -59. What is the common denominator of ((-606)\/p)\/((-108)\/90) and q?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17863*w = -52255 + 820364 for w.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1887823 divided by -2891?\nAnswer: 653","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 49\/58 and -121\/7482.\nAnswer: 7482","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -2 - (-52)\/1048*41. Let j = d + 3709\/2620. Find the common denominator of j and 106\/32 - (3 - 2).\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 988.45 and -0.1.\nAnswer: 988.35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 52909746?\nAnswer: 2, 3, 17, 29, 31, 577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 126*v**2 - 65*v**2 + 281013*v**3 - 40207*v**3 - 61*v**2.\nAnswer: 240806*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from baiiaiaaiabbi. What is prob of picking 1 b and 2 i?\nAnswer: 15\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 201544850.\nAnswer: 2, 5, 13, 149, 2081","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.6 + -4.4. Let a(l) = l**2 - 2*l - 11. Let h be a(4). Let v be 1\/6*(h - 1). Which is greater: b or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert aa (base 16) to base 8.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 6*h = -24. Let t = 10 + h. Suppose i - 40 = -t*z + 12, 0 = 4*i + 3*z - 273. What is the greatest common divisor of i and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 11 = d, 16*d - k = 13*d + 7. Let b(z) = 757*z - 75. Is b(d) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 12*u + 6. What is l(0)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Do 159 and 159 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 101 + 3. What is the third derivative of x*m**3 - 860*m**2 - 2*m**3 - 14 + 29*m**3 + 863*m**2 + 8*m**3 wrt m?\nAnswer: 834","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 192 a multiple of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-f + 3*f - f)*(-2 + 6 - 2).\nAnswer: 2*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1.871 - 0.971. What is the second biggest value in r, -1, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -y - 6. Let t be (-4)\/(-14) + (-78)\/(-21). Suppose -3*c - t = 4*x + x, 2*c = -4*x - 4. Let z(r) = 9 + 4*r - 2*r + c. Determine -11*n(d) - 6*z(d).\nAnswer: -d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 0 + 1 - 12\/(-6). Suppose 5*z + 7 = -3*p - 8, 0 = 3*p + 3*z + 9. Sort q, p, 2 in decreasing order.\nAnswer: q, 2, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -t**2 - 4*t + 2. Let a be d(-4). Suppose 4*u + 44 = a*x - 12, -3*x - 5*u = -40. Calculate the remainder when 38 is divided by x.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 234.444942us?\nAnswer: 0.000000002713483125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 121 minutes before 11:06 AM?\nAnswer: 9:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 104766*0.4.\nAnswer: 41906.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.08 in -2\/5, 6\/7, 2, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -82 (b) -0.1 (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = y + 64. Let d(t) = 7. Let a(w) = 10*d(w) - q(w). Calculate a(-14).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 141\/8 > 17?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(6\/11)\/k*k**1)**(-2\/29)\/((k*k**4*k\/(k**0*k))\/(k*((k*k\/(k**(2\/19)*k))\/k)\/k*k*k**(-1\/2)\/k)) assuming k is positive.\nAnswer: k**(-68403\/12122)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 0 + 36805?\nAnswer: 36805","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -90*s**3 - 11*s**2 + 8*s + 125. Let f(v) = 45*v**3 + 6*v**2 - 4*v - 68. What is -11*f(a) - 6*q(a)?\nAnswer: 45*a**3 - 4*a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1663922680 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 2*x**2 - 24*x + 12. Let s be r(12). Let f be 2\/12 + 34\/s. Solve -y - 2*d - 4 = 0, 20 = f*d - 8*d for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -r**3 + 7*r**2 + 20*r - 11. What is s(9)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*l = 10*l + 576. Is l a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -c19 (base 13) to base 14\nAnswer: -a66","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 341 = 964. Let x = 1593 + -1588. Suppose 5*w - 5*z = t, x*w - z = w + 363. What are the prime factors of w?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -329 + 1979\/6. Let b(l) = -l**3 + 4*l**2 - 5*l + 6. Let c be b(3). Which is smaller: c or o?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -3, -12, -4, -36, 4 in increasing order.\nAnswer: -36, -12, -4, -3, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-c**4 + 4*c**4 - c**4)*(-13*c - 1 - 1 + 15*c).\nAnswer: 4*c**5 - 4*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 113 in 0.035, 4, 0.4, 1?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g*g**14\/g*g*g)\/(((g*g*g*g\/g**11*g*g)\/g)\/g))\/(g*g**8*g*g*(g*g**(1\/5)*g)\/g*g))**43 assuming g is positive.\nAnswer: g**(2107\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -45 divided by 1410?\nAnswer: -3\/94","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -19 - -14. Let u(f) = f**3 + 6*f**2 + 3*f - 4. Determine u(i).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 145*r - 154. What is l(1)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = p - 1. Let q(v) = -5*v + 6. Let o(w) = -q(w) - 4*y(w). Let i be o(8). Suppose -n + 9 + i = 0. What are the prime factors of n?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -239 < -237?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*u = 20*u - k - 12, 2*u - 5*k = 14. Solve -u*h + 0*h - 10 = 0 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*y**5\/3 - 44*y**4\/3 + 136*y**3\/3 - 56*y**2\/3 - 140*y\/3 + 100\/3 = 0. Calculate y.\nAnswer: -1, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 52 - 52. Which is the smallest value? (a) f (b) -0.5 (c) -27 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 31*f**5 - 45*f**4 + 14*f**3. Let s(l) = 185*l**5 - 270*l**4 + 85*l**3. Let a(r) = 25*i(r) - 4*s(r). Factor a(d).\nAnswer: 5*d**3*(d - 1)*(7*d - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 54\/10 - (-2)\/(-5). Suppose -k - 20 = -4. Let w = -1 - k. Calculate the greatest common divisor of w and a.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 80198544 and 1279764?\nAnswer: 240595632","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -l**2 - 8*l - 10. Calculate m(-8).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 2*w = -264. Suppose 0 = 5*d - w + 23. Let k be 84\/16 - (-2)\/(-8). Solve 0 = -k*r + d - 3 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.1 and 36974766.\nAnswer: 36974766.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 419 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 929 (b) 5 (c) 4 (d) -1 (e) 69 (f) 1\/13\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v**5\/3 - 54*v**4 - 3043*v**3\/3 - 3862*v**2 - 3256*v\/3 + 6016 = 0. Calculate v.\nAnswer: -141, -16, -4, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (sqrt(847) - (1*sqrt(847) + 3))**2)*6 + -4.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u**4\/5 + 28246*u**3\/5 + 28292*u**2\/5 - 621376*u\/5 - 225984 = 0. Calculate u.\nAnswer: -4, -2, 5, 14124","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -353, -145, 423, 1531, 3359, 6087, 9895, 14963?\n\"Answer: 30*d**3 - 2*d - 381","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 48433.\nAnswer: 7, 11, 17, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = a**2. Let n(g) = -2842*g - 9557. What is n(h(m))?\nAnswer: -2842*m**2 - 9557","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/b**(-41\/2))\/b*b*b**39\/b*b)\/(b\/b**36*b**(5\/7)*b*b) assuming b is positive.\nAnswer: b**(1299\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) be the first derivative of 254*s**5\/5 + 2*s**3\/3 + 8*s - 491. Find the third derivative of u(g) wrt g.\nAnswer: 6096*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 357?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 12 + -7. Let z be -3 - g\/(5\/(-4)). Let f = z - -2. Solve -b = f*b + 12 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2412, -7120, -14494, -24534, -37240?\nAnswer: -52612","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 3*c + 28 = -c, 0 = -5*c. Let l be (4\/5)\/(2\/5). Let h = l - 0. Solve 4*o + f = h for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 751054?\nAnswer: 2, 375527","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 0 - (13 - (-11 - (-11 - 6)))\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -z**2 + z + 1. Let i(v) = 4*v**3 - 6*v**2 + 5*v + 4. Let c(j) = -j**2 + 63*j - 809. Let d be c(45). Determine d*i(p) - 4*h(p).\nAnswer: 4*p**3 - 2*p**2 + p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -2*h**3 + 5*h**2 - 3*h - 8. Let z = -24 - -16. Let p(d) be the first derivative of -d**4\/4 + 2*d**3\/3 - d**2\/2 - 3*d - 18. Determine z*p(a) + 3*q(a).\nAnswer: 2*a**3 - a**2 - a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(-5*(-2 + (4 + sqrt(1053))**2) - (-1 + (-5*sqrt(1573))**2)*-5).\nAnswer: -2160*sqrt(13) + 1147710","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z**4\/3 - 80*z**3\/3 + 235*z**2\/3 + 80*z\/3 - 80 = 0.\nAnswer: -1, 1, 4, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (2918659770486\/(-31073900))\/9 - -2. Let p = y + 10691494\/1025. Let o = -34\/689 + p. Calculate the common denominator of 55\/8 and o.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 52a7 (base 13) to base 2\nAnswer: 10110011000100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -8 + 7. Suppose -4*p - 4*m + 44 = 0, 5*p = m + 91 - 24. Which is the biggest value? (a) p (b) s (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2 + -5. Suppose 0 = -4*j + 3*j + 3*t, 0 = 3*j - t. Let u be (j + 1 - (-18)\/(-21))\/(-1). What is the third smallest value in c, u, -0.3?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -t**3 + 378*t**2 - 2603*t + 2226.\nAnswer: -(t - 371)*(t - 6)*(t - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 103*o - 34 - 47 = 3*t + 73 + 86, -4*t = -3*o - 83 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2203462525?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 + 1 + 4*n + 7*n as b + a*n and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = c**2 - 43*c + 342. Let p be o(0). Calculate the greatest common factor of p and 54.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4 + a - 138*a**4 - 5*a**4 - 8*a**2 - 50*a**4 - 59*a**4 + 9*a**2 in the form o*a**2 + c*a**3 + b*a + z + r*a**4 and give z.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1129470378?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -161537*-0.13\nAnswer: 20999.81","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2491440 and 11060.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 3353 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5031045 (base 7) to base 3.\nAnswer: -1010021022120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -t**3 + 4*t**2 - 5*t + 4. Let j(w) = w + 1. Let g be j(2). Let z be q(g). Let u(a) = a**3 + 2*a**2 - a. What are the prime factors of u(z)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 920?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) be the first derivative of 4 + 1\/9*y**3 - 1\/3*y + 1\/6*y**2 - 1\/12*y**4. Factor b(z).\nAnswer: -(z - 1)**2*(z + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -129*x**3 - 159*x**2. Let i(k) = -193*k**3 - 239*k**2. Let y(a) = 7*h(a) - 5*i(a). What is the third derivative of y(b) wrt b?\nAnswer: 372","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 3\/2, 7, 2\/7, -3\/2?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -4837118+-1474764\nAnswer: -6311882","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-3)\/4)\/(8\/43). Let d = 2295\/224 + a. What is the common denominator of d and (261\/(-8))\/((-6)\/8)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (3 - 0)\/(54\/6). Sort -3, 1, -4\/43, v in decreasing order.\nAnswer: 1, v, -4\/43, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 smaller than -565\/376628?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 4*y - 4 = 0. Let m be y\/3 + (-7)\/3. List the prime factors of (-2)\/m - (-48)\/9.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -44, -90, -136?\n\"Answer: -46*a + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -13545 - -3?\nAnswer: -13542","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 34.45816 kilometers?\nAnswer: 34458.16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 3*q. Suppose -4*z = -0*z + 16. Let p = z - -3. Let x(j) = j**2. Let o(f) = 3*f**2. Let b(y) = p*o(y) + 4*x(y). Give v(b(g)).\nAnswer: 3*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = i**3 - 12*i**2 + 11*i - 4. Let g be q(11). Let t be (g\/5)\/(2\/(-5)). Suppose 2*j - 62 = -t*o, 2*j + 5*o = -j + 83. What is the units digit of j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 2087, 4167, 6245, 8321?\n\"Answer: -b**2 + 2083*b + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (2\/14)\/((-252)\/(-168)). Let j = -3 + 2. Which is the second smallest value? (a) w (b) j (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) be the first derivative of -i**3\/3 - 2*i**2 - 4*i - 4. Let p(h) be the first derivative of -h**3 - 11*h + 5 - 11\/2*h**2. Determine 11*k(v) - 4*p(v).\nAnswer: v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 40 + -2. What is the second derivative of n**4 - p*n**2 + 38*n**2 - n wrt n?\nAnswer: 12*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = w**2 + 2*w + 1. Suppose 0 = -6*l + 91 + 5. Calculate the remainder when l is divided by r(-4).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1428)\/1666*2\/4. What is the second smallest value in -0.4, m, -4, 7?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -21*r**3 - 3*r**2. Let n(h) = 22*h**3 + 4*h**2. Determine -4*b(f) - 3*n(f).\nAnswer: 18*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29 = 15*j + 1 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-488)\/122*(-1)\/(-16)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1687335809 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -1654773, -18, -0.3 in decreasing order.\nAnswer: -0.3, -18, -1654773","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 = -4*h + 2*h for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4.5 + 27.5. Let q = m + -30. Which is the second biggest value? (a) 0.1 (b) -33 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2 - -4 - 3)*2\/4\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 2, g: 16}. Give prob of picking 2 e and 1 g.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 7 - 4. Suppose 70 = w*c + d, 5*d + 2 = 2*c - c. Let l = -12 - -22. What is the lowest common multiple of l and c?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 154672 and 9?\nAnswer: 1392048","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:14 AM and 9:21 AM?\nAnswer: 547","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*m**4\/6 + 26615*m**3\/6 - 119600*m**2\/3 + 185930*m\/3 + 106280 = 0. What is m?\nAnswer: -1, 4, 6, 5314","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3029*l**4 + 4*l**3 + 4*l**2 + 20954953 wrt l.\nAnswer: 12116*l**3 + 12*l**2 + 8*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -9 - -9.3. Let u = p + 0.1. Let r = 1031 + -1024. Which is the nearest to -2\/7? (a) r (b) -3\/4 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + ((0 + sqrt(17))*3 - ((((sqrt(153)*-5)\/sqrt(9))**2 - sqrt(17) - sqrt(17)) + sqrt(17))).\nAnswer: -427 + 4*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 2*m**2 - 42*m + 37. Calculate q(20).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -6*h**3\/7 - 3552*h**2\/7 - 11808*h - 490752\/7.\nAnswer: -6*(h + 12)**2*(h + 568)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5168, 5406, 5644, 5882, 6120, 6358?\nAnswer: 6596","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + 26 - 4 - (-377 + 389).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (4 - 6)*(-6)\/(-4). Let l(s) = s. Let g be l(v). Let k(b) = b**2 + b. Calculate k(g).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 14*p**3 - 518*p**2 + 12*p. Let f(q) = -q**3 - q**2 + 2*q. Let s(i) = 4*c(i) - 24*f(i). What is the third derivative of s(v) wrt v?\nAnswer: 480","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -303.3 - -299.3. What is the smallest value in 20, 1\/7, 14, -3, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-3)\/2)\/((-19)\/38). Suppose -5*n = 2*x + 2, -i*n + 4*x = 3*x - 1. Let w be 8\/3*(3 - 0). Solve n = -c + 2*q - w, 4*c = 3*c + 4*q - 12 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1080818, -1080812, -1080806?\nAnswer: -1080800","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -10*p + 19 + 31 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 17710\/175 - (-1)\/(-5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*g - 7 + 2, 5*j - g = 164. Suppose -5*n - j = -113. What are the prime factors of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15889.\nAnswer: 15889","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 330 and 432080.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -46*d**2 + 21*d**2 + 27*d**2. Let u(n) = -7*n. What is u(p(q))?\nAnswer: -14*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i*i*i*i\/((i*i*(i*i*i**20*i)\/i)\/i)*i**(-3\/17) assuming i is positive.\nAnswer: i**(-326\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2 + -1522?\nAnswer: -1524","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-3)\/(-12)*2*(9 - 1). Let i(b) = 2 + 2 + 143*b - b**2 - 141*b. Determine i(v).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/14*(-186 + 207)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) be the first derivative of -13\/4*m**4 + 0*m + 41\/2*m**2 - 2\/3*m**3 - 15. Find the second derivative of y(d) wrt d.\nAnswer: -78*d - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1041, 3701, 8143, 14367, 22373, 32161, 43731?\nAnswer: 57083","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -56883 at most as big as -56864?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2941 is divided by 2940?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -234 - -554. Suppose -2*y - t = -7*y. Factor -24*j**2 + 4*j - 1\/4 + y*j**3 - 64*j**4.\nAnswer: -(4*j - 1)**4\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5 + (sqrt(475) + -2)*5 + 2)*-4)**2.\nAnswer: -2400*sqrt(19) + 190144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4\/81 + 259\/324. Which is the second biggest value? (a) 0 (b) 2 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -103.6213 + 2.\nAnswer: -101.6213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 1650 divide 22915200?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 112958 is divided by 402?\nAnswer: 398","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 152, 610, 1376, 2450, 3832, 5522?\n\"Answer: 154*y**2 - 4*y + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -247 (base 10) to base 13.\nAnswer: -160","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 1992?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 5184 and 14649984?\nAnswer: 14649984","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.09132 + -0.089. What is h rounded to three decimal places?\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) be the first derivative of 1\/18*p**4 + 0*p + 1\/9*p**2 + 1 - 4\/27*p**3. Factor i(j).\nAnswer: 2*j*(j - 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3 - -3.1. Let o = 0.148 + 133.852. Does o = g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 10369809 and 1152201?\nAnswer: 10369809","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2)\/(-8) + 253724468\/(-16). Let c be 1115560\/2 + 5\/(-15)*3. Let k = c + x. Round k to the nearest one million.\nAnswer: -15000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 40046.02 millennia to months.\nAnswer: 480552240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3428.28 + -966.3702.\nAnswer: 2461.9098","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 4438451 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -r**3 - 2*r**2 + r - 2. Let s be f(-3). Let n = -129 + 131. Suppose s*q + q = -5*t + 20, 10 = 4*t + n*q. Solve 5 = -o + t for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2325\/186*(-8)\/(-10)\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1643 - -1?\nAnswer: 1644","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z - 4 = -4*y, 4*y = -4*z + 2*y + 20. Suppose 10 = z*i - 2*n, 0*i = 4*i + 4*n. Let v be (5 - 2) + (0 - i). Solve -k - k = 4*f, -k - v = 3*f for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 - 3*h)*(-7*h + 0*h + 4*h)*(2 - 2 - h).\nAnswer: -9*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 225*t + 172 = -33 - 20 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 96 minutes before 4:26 PM?\nAnswer: 2:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -152*l - 10 = -157*l. Solve 5*h - l*h = -0*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 423 minutes after 9:20 PM?\nAnswer: 4:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + h - 4 = 0. Let c be (-75)\/30*(-16)\/10. Suppose 4*m + 0 - 7 = 5*j, 0 = 5*m + 4*j - 19. Solve -4 = h*x + m*a - c*a, -5*a - 40 = 5*x for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*z = 18*z + 40. Let m(c) = -17*c + 9. Let p(a) = 9*a - 4. Determine z*m(u) - 9*p(u).\nAnswer: -13*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h\/((((h\/h**1)\/h)\/h)\/h))**36*(h**(-1\/2))**(1\/16))**(1\/2) assuming h is positive.\nAnswer: h**(5759\/64)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 916640 divided by 170\nAnswer: 5392","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -23\/254144 and 49\/34656.\nAnswer: 762432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -138*p**3 - 292*p**3 - 911*p**3 - 1431*p**3 - 2135*p**3 - 3156*p**3.\nAnswer: -8063*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:05 PM and 10:39 PM?\nAnswer: 454","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -103475 minus -22.86?\nAnswer: -103452.14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 790?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = 3*s + 448, -4*h - 15*s = -10*s - 1775. Let b = 453 - h. Solve b = -31*f + 29*f for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 862209?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 674000 to the nearest one hundred thousand.\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -26*a**3 - 49*a**2 - 60*a - 11. Let y(j) = -4 + 0*j**3 + 2 - 3*j**3 - 12*j - 10*j**2 - 2*j**3. Let z(f) = -2*q(f) + 11*y(f). Factor z(l).\nAnswer: -3*l*(l + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 7*c**3 + 6*c**2 + 6*c. Let z(d) = 8*d**3 + 7*d**2 + 7*d. Calculate 7*v(r) - 6*z(r).\nAnswer: r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -3*t + 2. Let q(v) = 4*v - 1. Let h(c) = -2*q(c) - 3*w(c). Give h(8).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -5*m**5 + 2*m**4 + 7*m**3 - 3*m. Let l(v) = -4*v**5 + 2*v**4 + 6*v**3 - 2*v. Suppose 6*s + 15 = s. Let g(p) = s*l(p) + 2*w(p). Factor g(h).\nAnswer: 2*h**3*(h - 2)*(h + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -462, -929, -1386, -1827, -2246, -2637?\n\"Answer: o**3 - o**2 - 471*o + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Add 26307117250 and -1.655.\nAnswer: 26307117248.345","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 75\/2 and (-1)\/(-6) - 31\/(240870\/500).\nAnswer: 518","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -c**2 - 5*c + 12. Let f be p(-6). Let y = f - 4. List the prime factors of 2\/(((-16)\/(-332))\/y).\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = l**3 - l**2 - l + 4. Let d be i(0). Let r be (1\/(-3))\/(d\/12). Let u = 15\/4 - 91\/20. Which is smaller: u or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3289, 3335, 3319, 3241, 3101, 2899, 2635?\nAnswer: 2309","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3911588, 3911590, 3911592, 3911594, 3911596?\nAnswer: 3911598","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 69, 19, -103, -303, -587, -961?\n\"Answer: -y**3 - 30*y**2 + 47*y + 53","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.3 + 0. Let n = -21 - -11.8. Let u = n + 9. What is the second smallest value in u, p, 4\/3?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -72 divided by -2?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 29 and 31494.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.4358 - -6106.5642. Let j = -6104.229 + v. What is j rounded to one decimal place?\nAnswer: 2.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = 6 - 1. Let t(v) = v**3 - 3*v**2 + v + 2. Let p be t(3). Suppose z + 2*u - 9 = -0*z, -z + 18 = p*u. Sort z, 0.5, f in decreasing order.\nAnswer: z, 0.5, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t = -4*i + 12, 49*i - 51*i = 3*t + 8 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 83 - (-1 + 5) - ((2 - 15) + 11).\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t = 3 + 3. Let h(y) = y**2 - 9*y + 1. Let g(s) = -4*s. What is t*h(i) - 5*g(i)?\nAnswer: 2*i**2 + 2*i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express ((2*d + 0*d - 3*d)*(-7*d + 2*d + 3*d) - 4*d**2 - 2 + 2)*(-4 + 4 + 2) in the form z + f*d + t*d**2 and give t.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -6 in 0.2, -1\/5, 0, 0.5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) be the third derivative of t**4\/12 + 2*t**2. Let y(h) = 11*h. Let x(m) = 12*m. Let v(a) = 6*x(a) - 7*y(a). Give v(z(c)).\nAnswer: -10*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zddn when four letters picked without replacement from wndnmzdz.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 - 14 + 3)*(2*c + 2 - 2)*(102 + 300 + 267) in the form j + w*c and give w.\nAnswer: -18732","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand b**4 + 0*b + 0*b + (3*b - b - b)*(14*b**3 - 4*b**3 + 6*b**3).\nAnswer: 17*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b*b\/b**(-1))\/b*b)\/((b\/b**(-2\/9))\/b)*b**4\/b**(1\/4))**33 assuming b is positive.\nAnswer: b**(2585\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -x**3 + 40*x**2 - 204*x + 1. Calculate i(34).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1090 to the power of 1\/7, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -36 + 30. Let j(h) = -8*h + 14. Let u(p) = -9*p + 15. Let v(z) = g*j(z) + 5*u(z). What is the first derivative of v(n) wrt n?\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 = -2*c + w, -3*w - 6 + 4 = c for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -61928*l - 309521. Give o(-5).\nAnswer: 119","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -1442214.39 to the nearest 100000.\nAnswer: -1400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -4*x**3 - 43*x**2 + 12*x + 53. Determine o(-11).\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, 3\/97, 1\/3, -0.43, -0.1 in decreasing order.\nAnswer: 1\/3, 0.2, 3\/97, -0.1, -0.43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3785.14 + -2272.25. Let y = -1519 + o. Let x = -8.78 - y. What is x rounded to 1 decimal place?\nAnswer: -2.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 40 + -35. Suppose 5*j = q*l + 12275, -7667 = -2*j + 5*l - 2751. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 92, -2 in decreasing order.\nAnswer: 92, 2, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1401 - -113?\nAnswer: -1244","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -11 - v - 6 - v + 1. Let s be z(-8). Suppose -3*b - 6 + 132 = s. What is the tens digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 78395934 to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(2 + -3*sqrt(13) + sqrt(13)).\nAnswer: -4 + 4*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -407341*p + 20367046. Calculate u(50).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 116 a factor of 66481830?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Put 4\/9, -1\/2, 8\/5, 0.2 in decreasing order.\nAnswer: 8\/5, 4\/9, 0.2, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-7))**22\/(x*x**(2\/19)\/x)**(1\/46) assuming x is positive.\nAnswer: x**(-67299\/437)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = o**3 + 17*o**2 + 10*o - 13. What are the prime factors of m(-6)?\nAnswer: 17, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 361*p. Let t(k) = -435*k**2. What is r(t(c))?\nAnswer: -157035*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*f**3 - 32*f + 502.\nAnswer: -6*f**2 - 32","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -40 + -15 + 30 + 0 + (-2 - 8)?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -115*y**3 - 161*y**2 - 30327*y + 2 wrt y?\nAnswer: -690*y - 322","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -13.25 + -0.05. Let u = g - -89.3. Let n = -76.00091 + u. Round n to four decimal places.\nAnswer: -0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 7 = 1. Suppose -4*y = -2*n - 0*n - 222, 5*y = -u*n + 255. List the prime factors of y.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 8, 1, -2\/5, -87, 1\/2?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) be the first derivative of w**3\/15 + w**2 + 5*w + 20. Let b(m) = 0. Calculate m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 + -12 + 10 + -18?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-r + r - r**2)*(-4 - 3 + 4)*(-31*r - 176 + 176).\nAnswer: -93*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1048 and 1572.\nAnswer: 3144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yppyp. Give prob of sequence pp.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3 + 3 + 2*x)*(-3 - x + 3) - 49 + 49 - 4*x**2 + x**2 - x**2 + 16*x**2)*(2*x + 4 - 5 + 4).\nAnswer: 20*x**3 + 30*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 82890?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 49 = 4*j + n, -j - 5*n = -19 + 2. Let v be (j\/5 + -2)*75. What is the highest common factor of 6 and v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 88 - 86. Find the first derivative of -27*i - 13*i + f*i + 43 wrt i.\nAnswer: -38","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 11 and 8.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (664104\/(-51744) - (-2)\/(-88))*84\/(-18)\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 23 + 17. Suppose -38*a + g*a - 96 = 0. What is the greatest common divisor of 16 and a?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.7 - -1.3. Let i = -3\/2930 - -5899\/38090. What is the third biggest value in 0.3, n, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qvvvqvvtiqqytvqli. Give prob of sequence vq.\nAnswer: 15\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 119*z**3 + 7*z**2 + 7. Let v(l) = 79*l**3 + 5*l**2 + 5. Let b(c) = -48*c + 2347. Let g be b(49). What is g*a(o) + 7*v(o)?\nAnswer: -42*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + -4*sqrt(325)*2 + -4.\nAnswer: -40*sqrt(13) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/(d*(d*d**15*d)\/d))**(-16)\/((d*((d*d**12*d)\/d)\/d)\/d*d**(4\/11)*d) assuming d is positive.\nAnswer: d**(2669\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find m such that m**4\/2 - 50*m**3 - 6528*m**2 - 88504*m + 2636536 = 0.\nAnswer: -46, 14, 178","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*x + 64 - 64 as b + t*x and give t.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = x**3 - 36*x**2 - 698*x - 96. What is the least common multiple of 784 and j(50)?\nAnswer: 784","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -104 + 106. Solve m*z - 4 = 0, 2*n = -0*z - 2*z for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 45, 46, 47?\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9\/(-36)*(108\/6)\/(-2)*8.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3078960134 by -2.\nAnswer: 1539480067","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j = -2*z + 305, -14*z - 381 = -17*z - 4*j. Solve -37*d + z = 176 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 120013, 119959, 119809, 119515, 119029, 118303, 117289?\nAnswer: 115939","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -43*l**2. Let k(n) be the first derivative of n**3\/3 + 58. Determine k(g(a)).\nAnswer: 1849*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + 2*y + 16*y + 10*y + 4*y + (-2*y + y + 2*y)*(1 - 5 + 2))*(-8 + 10 - 5)*(3 - 1 + 0).\nAnswer: -180*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/5, -540, -3, -24, 2, 18\/11 in increasing order.\nAnswer: -540, -24, -3, 2\/5, 18\/11, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -g**2. Let k(u) = -u**3 - 8*u**2 - 8*u - 3. Let j be k(-7). Let l(x) = -2*x**2 + j*x**2 + 0*x**2. Calculate m(l(s)).\nAnswer: -4*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = k. Let y = 232 + -233. Let m(q) = -3*q + 1. Calculate y*m(x) - 4*j(x).\nAnswer: -x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4.012 + -0.012. Let g = -30 + 392\/13. Let u = 2 + 3. What is the biggest value in u, g, a?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*n**3 + 3 - 8*n**2 + n**4 + 3 - 3 + 0 + 5 to i*n**4 + q*n**2 + o*n + j + y*n**3 and give j.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -104378 rounded to the nearest 10000?\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -3*q - 2. Let v = -16 + 10. Let h be t(v). What is the highest common divisor of h and 48?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -53*y**5 - y**4 + 417*y?\nAnswer: -1060*y**3 - 12*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14873 = 29*m - 14960 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 3, z: 4, p: 4, v: 1, g: 1, u: 2}. What is prob of sequence pgzz?\nAnswer: 2\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) be the second derivative of -s**6\/30 - 3*s**5\/20 + s**4\/2 + 14*s**3\/3 + 12*s**2 - 3*s - 18. Factor l(h).\nAnswer: -(h - 3)*(h + 2)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 28754 + -28688. Solve 2*y - d = -54 for y.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.2*0.844.\nAnswer: -0.1688","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (8 + -4)\/((-172)\/4). Which is the nearest to 1\/2? (a) 0 (b) x (c) 2\/105\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.3532 + 0.0532. Which is the closest to 0.17? (a) 3\/7 (b) 0.5 (c) v (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: c0 (base 14) to base 11\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.1 != 1542954528?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 10*c - 3*c**3 + 4*c**3 - 2*c**3 - 10*c**2 - 9. Let q be u(-11). Solve -q = 3*z + 4 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 12 + -7. Suppose 3 - 13 = -c*o. Solve 2*v = -o*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a = -5 + 40. Let h(n) = -3. Let z(p) = p + 7. What is a*h(o) - 3*z(o)?\nAnswer: -3*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/2 of a micrometer in nanometers?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 13525?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + 9 - (-14 + 35 - -10)?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-37 - (-808)\/24) + 448\/138\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ccccccxcxccccccxxx. What is prob of sequence xcx?\nAnswer: 65\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -289541 + 1781 = 3597*l for l.\nAnswer: -80","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 348 - 348.000029. What is f rounded to six dps?\nAnswer: -0.000029","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -5 + 1220\/231 + (-3)\/9. Let s = 45\/616 - c. Find r such that s*r**4 + 0*r**2 + 0*r + 0 - 1\/8*r**3 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (15\/50)\/((-768)\/(-80) - 8).\nAnswer: 3\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + -2 + 3 - 0?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 321 minutes after 9:29 AM?\nAnswer: 2:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 - 8 = -5*m. Let g(y) = 2*y**3 + y**2 - 2*y - 5. Let r be -10*((-1)\/(-2) - 0). Let s(j) = j**3 - j - 2. Give m*g(f) + r*s(f).\nAnswer: -f**3 + 2*f**2 + f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -14501299, -29002597, -43503895, -58005193, -72506491?\n\"Answer: -14501298*s - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u - 2 = -11 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -4154, 0 in decreasing order.\nAnswer: 0, -5, -4154","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 4 - 1 + (-1 + 1 - 1)*(2 + 1 - 1) - 3 + 1 + 0)*(u - 5*u**3 - 9*u + 14*u).\nAnswer: 10*u**3 - 12*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 22 or 20.1?\nAnswer: 20.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -q - 6. Let k be o(-5). Let c = k - -9. Solve -3*d - c = 1 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fsssssfssssssssssfss. What is prob of picking 2 f?\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 14664335*m**6 - 208806*m**2 - 37*m?\nAnswer: 1759720200*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.8 in 4\/5, -4, -5, -355?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 3\/50 of a meter?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -108 + 1658*q - 180 + 288 in the form t + z*q and give z.\nAnswer: 1658","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 2*v**3 - 2*v**2 + v + 1. Let p(r) = 3*r**3 - 11*r**2 + 11*r + 11. Let m(q) = p(q) - 2*s(q). Let a = -7 - 1. Give m(a).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 226*o - 1571 = -2701 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 47*a - 72 + 213 = 0 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 3 (b) -1\/5 (c) -52 (d) 0.4 (e) 0\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*w - 18*z + 29*z + 0*z - 12 = 0, -4 = -2*z for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -14 - -1 - (-2 + 17 + -13)\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -94 + 8 = -2*q. Is q a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) be the third derivative of -3*o**4\/8 + 20*o**3 - 2*o**2 + 18. Let i be d(14). Let b(f) = f**2 + 11*f + 9. What is b(i)?\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -9*q + 36. Let y be t(5). Let o be 14\/(-4) + (-5 - y). Is -8\/11 at least as big as o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -8*w - 10. Let z(c) be the third derivative of c**4\/24 + c**3\/6 + 10*c**2. Let q(g) = -4*u(g) - 28*z(g). Let r be q(-3). Solve r = -0*t + 3*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(-2\/27)\/l*l**(-3))**12)**(20\/9) assuming l is positive.\nAnswer: l**(-8800\/81)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 3362 divide 160355480?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 2627924545 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/(k\/(k\/k**(2\/11))))\/(k*k**(-2\/7)))\/(k**1\/(k\/(k\/k**2)))*k**5\/k**(-3\/7)*k*k*k**6*k*(((k*((k*k**7\/k*k)\/k)\/k*k)\/k)\/k)\/k assuming k is positive.\nAnswer: k**(1581\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*d - 2 + 2)*(-173 + 25*d + 173).\nAnswer: 100*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + 4*(sqrt(13) + sqrt(91)\/sqrt(7)*2) + ((sqrt(91) + sqrt(91)*-2)*-4)\/((sqrt(49)*1)\/sqrt(7)).\nAnswer: 2 + 16*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -4919 minus 0?\nAnswer: -4919","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 155\/42940716 and -41\/22492756.\nAnswer: 472347876","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 497 and 360467.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 64\/6 + 80\/60. Let m be -1 + -5 + 5\/20*g. Let z be (18\/(-8) - m)*(-48)\/2. Let d(n) = 7*n - 10. Let o(q) = q - 1. What is z*o(r) + 2*d(r)?\nAnswer: -4*r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -5929*-0.14271\nAnswer: 846.12759","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -95.75132435 rounded to zero dps?\nAnswer: -96","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1351731677?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 434830 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 102, 381, 1102, 2475, 4710?\nAnswer: 8017","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 5208774516?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3159c6 (base 16) to base 11.\nAnswer: -1909a34","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -4, 2\/113, -1\/9?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*s**2\/4 + 3915*s\/4 + 11799\/2 = 0. What is s?\nAnswer: -6, 1311","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -784 (b) -1 (c) 37 (d) 0.1 (e) -2\/9 (f) 2\/17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = c**3 - 5*c**2 + 12*c - 1. Calculate q(6).\nAnswer: 107","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = g**3 + 5*g**2 - 6*g - 4. Let a be v(-6). Let t be a\/(-20) - 2\/(-40). What is the closest to -0.3 in t, -0.3, 4?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 281?\nAnswer: 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -19 - -18.808. Let m = -0.2 - r. Round m to three dps.\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = 10*y - 13*y. Let r(w) = w - 1. Let u(g) = 5*g**2 - 7*g + 6. Let q(k) = y*r(k) + u(k). Give q(-1).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -4, -0.04, 0.4, -1\/5?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by 437137.\nAnswer: 1\/437137","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:47 AM and 7:06 PM?\nAnswer: 559","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11701*m + 4*m**2 - 5*m**2 + 11706*m + 11801*m - 46920*m + 11712*m.\nAnswer: -m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -b**3 - 3 + 11*b**4 + 2*b**2 + 1 - 959*b + 965*b to n*b + d*b**4 + q + j*b**2 + z*b**3 and give z.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*sqrt(304) + 0.\nAnswer: -4*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 12*d + 2 + 19*d - 4.\nAnswer: 7*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 7*y - 67. Let o(h) = 20*h - 200. Let d(t) = -4*o(t) + 11*p(t). Let m be d(0). Let c = m - -6. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -38\/15 and -27\/1828.\nAnswer: 27420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 3, f: 3, a: 5, k: 1}. What is prob of sequence ffll?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from owwooqyoiowk. Give prob of picking 1 i and 1 q.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 132138, 263943, 395734, 527505, 659250, 790963, 922638, 1054269?\nAnswer: 1185850","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0 and 978.8.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2367864201.\nAnswer: 3, 1013, 779159","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 25.521 + 1.523. Let s = -0.057 + -26.943. Let h = b + s. What is h rounded to 2 dps?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = n**2 - 3*n - 16. Let v be c(-3). Solve -2 = -2*d - 0*d - k, -d + 11 = -v*k for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m = -f + 5*f + 146, 4*f + 63 = m. Suppose 3*i = l + 4*l - m, 0 = 3*l + 4*i - 73. What is l rounded to the nearest 10?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6185 is divided by 54?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 265956 is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1 - 323030?\nAnswer: -323031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 1 g when two letters picked without replacement from guguufegug.\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*a + 2*v + 2745, -a + 4*v + 301 - 872 = 0. Let o = -158 - a. Suppose 0*m - 2*m - 318 = -4*j, 5*j + 2*m = o. Is 17 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 52 + 1 - 1 + 25*j - 20*j.\nAnswer: 5*j + 52","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -16*g**3 - 3*g. Let v(f) = -32*f**3 - 5*f. What is -5*t(u) + 2*v(u)?\nAnswer: 16*u**3 + 5*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 188, -1, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 90*q**3 - 3*q**4 - 9*q - 90*q**3 wrt q?\nAnswer: -36*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 0*w + 132 = 0. Let x be ((-6)\/9)\/((-1)\/w). Let f be x*(-2)\/(-2)*1. Calculate the highest common factor of 33 and f.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2338 to the power of 1\/6, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d + 5*b = -18, -883 - 699 = 391*d + 5*b - 2*b for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-700)\/525)\/(8\/78)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 113*q - 305 - 599 for q.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -16 - -24. Suppose f = 4*h, 18 = -0*u + 2*u - 3*h. Let s = -12 + 19. Calculate the remainder when u is divided by s.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) be the first derivative of 3*j**5\/5 - 2*j**3 + 3*j - 20. Suppose l(n) = 0. Calculate n.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 517 minutes after 6:14 AM?\nAnswer: 2:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2686, -5319, -9694, -15799, -23622, -33151?\nAnswer: -44374","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -r + 47 - 47 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 37*w**3 - 36*w**3 + 5 + 1 - 2 - 7*w**2 - 8*w. Give h(8).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 61\/(-3) + 422\/(-633) + (-2 - -3)?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 884 is divided by 37.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Determine r, given that -r**2 + 2436*r - 397760 = 0.\nAnswer: 176, 2260","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -2*r**2 - r - 45. What is v(0)?\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eroqouqmrueq. What is prob of sequence eemr?\nAnswer: 1\/2970","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1296648178?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) be the third derivative of 0*j + 0*j**3 + 0*j**5 - 1\/10*j**7 + 13*j**2 - 23\/24*j**4 + 0 + 0*j**6. Find the second derivative of k(y) wrt y.\nAnswer: -252*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/(b*b*b**(2\/15)*b)*b*b\/(b\/(b\/b**(-7))*b))**(-14))**(10\/7) assuming b is positive.\nAnswer: b**(-352\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 350186 rounded to the nearest 1000?\nAnswer: 350000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - 1 = -9. Suppose 0 = 3*z + z - b. Let m = 23 - z. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -232 = 13*h - 13245. What is the highest common factor of 273 and h?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 2250 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 3*g**3 - 302*g**2 + 192*g + 1198. Calculate i(100).\nAnswer: 398","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2 + 0. Find r such that 25*r**4 + 2*r**3 - d*r - 52*r**4 - 1 + 28*r**4 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(1\/5)\/f*(f**(2\/9)\/f*f)\/f*(f\/(f*((f*f**(3\/2))\/f)\/f*f))\/f**(-4\/7)*(f**(2\/7))**(-50)\/(f*(f\/f**(-1))\/f)**48 assuming f is positive.\nAnswer: f**(-71059\/630)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve y = 5*y + 483*b - 17 - 346, -3*y = -5*b + 95 for y.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 1001, 2054, 3149, 4292, 5489, 6746, 8069, 9464?\n\"Answer: h**3 + 15*h**2 + 1001*h - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 11*f**3 - 3*f**2 + f + 3. Suppose -4*c + 5*c = 2. Let j be l(c). Let x = j + -75. Solve 2*u + x = -u for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 2\/25 (b) -0.4 (c) -5 (d) 0.68 (e) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 170 + -132. Let g = x - -46. What is the least common multiple of g and 8?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1729060 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 744799?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1278? (a) -4 (b) 497 (c) 2\/5 (d) -3 (e) 5 (f) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -561 (base 12) in base 13?\nAnswer: -490","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = l**2 + l - 1. Let h be g(2). Differentiate -3*f**2 + f**2 + 0*f**2 + h - 3*f**2 with respect to f.\nAnswer: -10*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -30*g - 5. Let l be m(10). Let s = 2147\/7 + l. What is the common denominator of s and -47\/2?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -4*g**2. Let i(h) be the third derivative of 7*h**5\/15 + 7*h**2. Determine w(i(z)).\nAnswer: -3136*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 5*v - 9. Let f be (-187)\/(1 + -5 + 5). Let o = f + 184. Let p(z) = -2*z + 4. Determine o*l(q) - 7*p(q).\nAnswer: -q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -23 - -19. Find the common denominator of g and -81\/26.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = -m + 3*r, 0*r - 3*r + 3 = -3*m. Suppose 0 = -m*j - 1 + 9. Let l = j - -7. Is 5 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - 3 = 5*w + 10, -3*w - 5 = 2*g. Solve g*o - o = 1 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 23 - 18. Suppose 0 = -d*h + 17 + 1568. List the prime factors of h.\nAnswer: 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 3, m: 3, x: 2, s: 9, o: 2, z: 1}. What is prob of sequence tos?\nAnswer: 3\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -697*q**2 + 697*q**2 - 2084380*q**3.\nAnswer: -2084380*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 6543167 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29051 = -13*h + 22655 + 39177. What is the tens digit of h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 220211121 (base 3) to base 11.\nAnswer: 12670","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2021\/9 + -578\/9. Let f = m + -159. Let x = 12 - 13. Which is the closest to 1? (a) f (b) x (c) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -28200564607 - -25.2.\nAnswer: -28200564581.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 42 + 98*(-39)\/273\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 6, -4, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 1986*n - 10. Let u(q) = -6951*q + 36. Give -18*l(o) - 5*u(o).\nAnswer: -993*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - 8 = -5*g. Let z(s) = s**3 - 7*s**2 + 5*s + 2. Let v be z(6). Sort v, g, 1 in ascending order.\nAnswer: v, 1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 478*y + 56 = 466*y - 4*w, -2*y - 4*w = -4 for y.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Determine q so that -2*q**2\/21 - 29198*q\/21 + 29200\/21 = 0.\nAnswer: -14600, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -27*t**2 + 29*t**2 - 2*t + 4*t. Give z(-2).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m and 2 l when four letters picked without replacement from {l: 3, m: 8}.\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 830.\nAnswer: 2, 5, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 93405 to the power of 1\/2, to the nearest integer?\nAnswer: 306","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50*g = 48*g + 38. Let n = g - -66. Let q(u) = u**2 - 2. Let s be q(-6). What is the highest common factor of n and s?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*l**3 + 1780638*l**2 - 10683747*l + 16025580.\nAnswer: -3*(l - 593540)*(l - 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 670?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2674259 is divided by 338.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mmm when three letters picked without replacement from {w: 3, m: 9}?\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 3728 divided by -2?\nAnswer: -1864","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1060999 is divided by 125.\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -533806237 - 5?\nAnswer: -533806242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 12*c + 5. Let w be l(-2). Let a = w - -21. Suppose 0 = 2*s + 2*s - 5*m - 86, 3*s - 5*m - 67 = 0. What is the remainder when s is divided by a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-52)\/(-6) + (-7)\/(-21). Let s be (m\/6)\/((-2)\/(-4)). What is the third derivative of -3*c**3 + c**3 - s*c**2 + 0*c**2 wrt c?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - h + 7 = -0*h, -2*f + 14 = -h. Calculate the greatest common divisor of f and 14.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1.5 - 1.9. What is the biggest value in -1, w, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5328*q**6 - 1502*q**2 + 3*q?\nAnswer: 639360*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -41.6 - -41.771. Let s = x - 4.171. What is the third biggest value in s, 1, 0.2?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -173\/18486636 and -95\/255731798.\nAnswer: 1534390788","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -6*u**2 + 2 - 1 + 2*u**2. Let b be a(1). Put 1, 5, b in descending order.\nAnswer: 5, 1, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000246863 to five decimal places.\nAnswer: 0.00025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -352053210 rounded to the nearest one hundred thousand?\nAnswer: -352100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -48*t - 18. Let q be x(-4). Let d = q + -116. Suppose -g = s - d, 2*g + 5*s = 6*g - 250. Is g a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10321 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -12545764*i**3 - 351253056*i**2 + 793392*i - 448.\nAnswer: -4*(i + 28)*(1771*i - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -23 at least as big as -25?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -12*c**2 - 2*c - 2. Let j(p) = -48*p**2 - 9*p - 9. Let q(d) = 4*j(d) - 18*w(d). Let x(r) = -4*r. Give x(q(t)).\nAnswer: -96*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -f - 2*f. Suppose 9 = 5*l - 6. Suppose f = 2*w - l*w + 115. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/(-2))\/(-3*(-2)\/(-8)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 86584, 173101, 259618, 346135, 432652, 519169?\n\"Answer: 86517*p + 67","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:57 PM and 2:23 AM?\nAnswer: 446","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/(v*(v**(-4\/3)\/v)\/v*v))\/(v**(1\/7)\/v)*(v**(6\/5))**42 assuming v is positive.\nAnswer: v**(5627\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.5, -0.3, -157, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -66*x**6 + x**4 + 53655*x**3 - 20390287*x**2.\nAnswer: -7920*x**3 + 24*x + 321930","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -10*w - 6. Let t be f(-4). Suppose -5*b - 2*p = -250 - t, 0 = -3*p - 9. What is the derivative of 28*x + 30*x + 21 + 17*x**2 - b*x wrt x?\nAnswer: 34*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20646 a multiple of 93?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -13799125694.2448946 - -13881041080.2449. Let v = o - 81915436. Let b = -50 - v. What is b rounded to 6 decimal places?\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = m**3 - 11*m**2 + 6*m + 12. Let f be g(6). Let o = 164 + f. Calculate the greatest common divisor of o and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 + 2 - 0) + 2 - 5?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.58 (b) 5 (c) 0.2 (d) -1\/6 (e) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nn when two letters picked without replacement from {n: 2, i: 17}.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = y**2 + 9*y + 22. Let c(m) = m - 3. Let f be c(-6). List the prime factors of o(f).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 13 - -9?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) be the first derivative of -3*n**2\/2 - 11*n - 1. Let b be i(9). Is 0 - -1 - (b + 1) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**0*n)**44 assuming n is positive.\nAnswer: n**44","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*r - 5*r - r + r + 8*r - 3*r + (-3 + r + 3)*(5 + 1 - 4) + 2*r + 0*r + 0*r - 3*r + 1 - 1 - r - r + r + (4 - 3 + 0)*(-3*r - 3*r + 4*r) - 2 + 2 - r.\nAnswer: 2*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.3204793 nanometers to millimeters.\nAnswer: 0.0000003204793","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 260955\/146 >= 1787?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 2*q - 118 = 0, -3*k = q - 310 - 59. Is k a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.083, 3.2, -153 in ascending order.\nAnswer: -153, 0.083, 3.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -k**3 + 18*k**2 - 73*k + 84. What is h(13)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 506780 + -328201. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -68 + 70. Suppose c*q + 1032 = 8*q. Does 28 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1245\/23 or -54?\nAnswer: -54","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15577 is divided by 95.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -41120 divided by 4112?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (-16)\/(-6)*6\/(-12)?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*b + 6, -4*d + 38 = -2*b - 30. What is the greatest common divisor of 72 and d?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 578 and 532049?\nAnswer: 289","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-4)\/(-5))\/((-2)\/(-5)). Suppose h + 2 = 2*x + o*x, -h + 5*x - 4 = 0. Solve -h*u + u + 10 = 0 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 255*k**2 - 9379594 + 9379594.\nAnswer: 255*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*l + 4*l - 2*l + 7*l**2 as d + v*l + u*l**2 and give u.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 49478 divided by 173.\nAnswer: 286","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 15252*f + 198258. Determine w(-13).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = z**3 - 38*z**2 + 239*z + 27. Give a(30).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 47, -2\/99, 0.9 in descending order.\nAnswer: 47, 0.9, -2\/99","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -7*l**3 - 7*l**2. Let x(y) = -35*y**3 - 36*y**2 - y. Let v(c) = -11*p(c) + 2*x(c). Factor v(k).\nAnswer: k*(k + 1)*(7*k - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 95 is divided by 95?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 76976 and 17680.\nAnswer: 272","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -100749317844 + 5\nAnswer: -100749317839","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1946 and 2721203?\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 94*y + 74*y - 608 + 3296 for y.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 20*-13\nAnswer: -260","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 2416598 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 9*a**3 + a + 1. Let h be j(2). Suppose 3*z = -9, -2*g + 0*z - 5*z = -h. What is the remainder when g is divided by 24?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 173990469 and 1623.\nAnswer: 1623","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4 in -18704, 2, 856?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2.32*32.\nAnswer: 74.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d = -2*x + 2*d + 869, 4*x = -d + 1749. What is the greatest common factor of 19 and x?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) be the second derivative of -1\/90*j**6 + 0 + 1\/12*j**5 + 20*j + 7\/18*j**3 - 1\/3*j**2 - 1\/4*j**4. Find v such that h(v) = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8295.3351us to hours.\nAnswer: 0.00000230425975","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*w**4 + 1708*w**3 - 688*w**2 - 34852*w - 17040 = 0.\nAnswer: -4, -1\/2, 5, 213","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 167497129 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 898710 to the nearest one million.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 56, 106, 140, 152, 136, 86?\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 2519?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -5\/29042 or -0.98?\nAnswer: -5\/29042","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 13, -1\/7, 105, 4 in descending order.\nAnswer: 105, 13, 4, -1\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + -1 + 10 + (-1 - -2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.2 + -0.49579.\nAnswer: -0.29579","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = -4*d + 10, -5*o + 3*o - 25 = -3*d. Suppose 3*i + 0*p = 5*p + 28, -60 = -d*i + 5*p. Calculate the highest common factor of 16 and i.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1*(-3)\/54*148\/37.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) be the second derivative of 1\/6*s**4 - 2*s**2 + s - 136 - 1\/3*s**3. Find x, given that l(x) = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/2? (a) 2310 (b) 0.5 (c) 5 (d) -11 (e) -2\/15\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -285 * -3.72615\nAnswer: 1061.95275","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 954.5414l in millilitres?\nAnswer: 954541.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 401478 is divided by 5156?\nAnswer: 4466","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 2000 a multiple of 40?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k**5\/5 - 2*k**4\/5 - 54*k**3\/5 - 54*k**2\/5 + 108*k\/5 = 0.\nAnswer: -3, 0, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is r in -2*r**4\/7 - 2316*r**3\/7 - 675098*r**2\/7 - 2672664*r\/7 - 2663432\/7 = 0?\nAnswer: -577, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1728 and 44?\nAnswer: 19008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*l - 99*q + 106*q - 99, -5*l + 5*q = -l + 40 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 2, w: 1, a: 3, g: 4, s: 2}. Give prob of picking 1 s and 2 j.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 16 and 1130?\nAnswer: 9040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -759, -5904, -19705, -46482, -90555, -156244, -247869, -369750?\nAnswer: -526207","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 786\/(-3144) - ((-1)\/9)\/(12\/(-165))?\nAnswer: -16\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 133 = 748. Let j = 11 + -2. What is the smallest common multiple of j and i\/(-12) + (-3)\/12?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 41396?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -47.667 rounded to one decimal place?\nAnswer: -47.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 12 + 210020?\nAnswer: 210102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - 0 - (20 - 25).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -t**2 + t + 430 wrt t?\nAnswer: -2*t + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 70*l**5 + 2*l**4 + 2*l**2 - 97*l.\nAnswer: 4200*l**2 + 48*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-3\/2)*w**(6\/7)\/w*w)**(-1\/20) assuming w is positive.\nAnswer: w**(9\/280)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 142*y - 28*h = 139*y - 541, 4*y = 2*h - 50 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-47 - -52) + -9 + 1.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 169?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (((-1131)\/(-52))\/(-29))\/(1*12\/80)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = p**3 - 49*p**2 + 146*p + 46. Let k be h(47). What is the highest common factor of 330 and k?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -30*q**4 - 2*q**3 + 2*q**2 + 127*q?\nAnswer: -720*q - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*w - 2*b - 26, -2*w + 7 = -3*w - 3*b. Suppose -d = -3*d - w. Let g = d + 6. Solve -4*r + r - g*m = -6, 0 = m for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16120908?\nAnswer: 2, 3, 569, 787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-6)\/(-2)*(-5 + (-1195)\/(-15)). Suppose -a = 10*m - 14*m. Calculate the highest common divisor of 7 and m.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) be the second derivative of l**5\/10 - l**4\/4 + l**3\/6 + 5*l**2\/2 - l. Suppose -116*o + 72 = -98*o. What is the tens digit of r(o)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -2, -0.2, -0.11985?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1 + 6. Let v(o) = -o - 3 - 6*o**2 + f + 4*o**2. Let s be (2\/6)\/(2\/12). What is v(s)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -41 + -52215?\nAnswer: -52300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 12 + 48762\/609 - (-4)\/(-58). Which is the smallest value? (a) q (b) 3 (c) -1\/5 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -64*p + 10221 = 9069 for p.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2106?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 290875380?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -28 (base 9) in base 4?\nAnswer: -122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*j + 1 - 2*j - 1 as q*j + z and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*j - 1006 - 3209 + 34*j - 7*j.\nAnswer: 17*j - 4215","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 119984 to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 208841 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -s + 6. Let i(d) = -d + 5. Let t(y) = -5*i(y) + 4*u(y). Let r be t(4). Suppose o = -5*g + r*o + 80, 4*o = g - 34. List the prime factors of g.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve a - 2*w - 3*w = -19, -11 = 5*a + 3*w for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yyddnyyyydynydydd. Give prob of sequence ydyd.\nAnswer: 9\/238","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-30)\/3 - 77\/(-1 + -10). Which is the nearest to 1? (a) 0.4 (b) j (c) 0 (d) -31\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -732*n = -685*n - 4344257. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 13, 16, 3, -38, -119, -252, -449?\n\"Answer: -2*b**3 + 4*b**2 + 5*b + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 118467*s + 117373*s - 233754*s.\nAnswer: 2086*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 2*b**2 + 6*b + 3. Let x(l) = -6*l**2 - 20*l - 10. Let o(a) = 3*x(a) + 10*z(a). Let j(i) = 3*i**2 + 21*i. Give o(j(u)).\nAnswer: 18*u**4 + 252*u**3 + 882*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4420846.\nAnswer: 2, 1427, 1549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1\/((27\/6)\/9). Suppose 0 = g - 2*g + 4, 5*x - 48 = -y*g. What is the units digit of x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 164 is divided by 87.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -9317.52 plus 42129?\nAnswer: 32811.48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42 = -3*k - 4*w, -40 = 5*k - 3*w + 1. Let v be (4\/k)\/((-108)\/(-90)). Which is the smallest value? (a) -1 (b) -5 (c) v (d) 15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (2\/3)\/((-708)\/72 + 10). Solve -5*a + h*t = -16 - 6, -3*t - 5 = 2*a for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = t**3 - 7*t**2 - 14*t - 31. Let z(f) = -f + 6. Let u be z(-3). Let d be g(u). Solve 3*y - 2 = 3*h - 14, 4*h - 20 = d*y for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -43*(-66 - -67)\/(4 + (-21)\/7).\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 1\/(-9)*(-590)\/1180*1*-10*4\nAnswer: -20\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -104 divided by -1\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 26486 divided by -38?\nAnswer: -697","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 347605, 347710, 347815, 347920, 348025, 348130?\n\"Answer: 105*q + 347500","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 67 + -66. Let r = -2 + -1. What is the nearest to 1 in q, r, -2?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -4\/5, -40.3, 0.16, -1\/6, 3\/5, -2\/25, -2?\nAnswer: 0.16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1680 and 352328?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -14 - -14. Let m = 16 + -17. Is m >= b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 9? (a) 2 (b) -47 (c) -5 (d) -1\/3 (e) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = 4*h - 6. Suppose -h*r + 20 = 2*r. Suppose r*x - 1 = 15. Solve -x*t - j + 6 = j, 2*t = 5*j - 27 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*r - 6*r - 279 - 35.\nAnswer: 2*r - 314","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2\/3*k**2 + 34\/9*k + 4\/3.\nAnswer: -2*(k - 6)*(3*k + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -m**2 - 5*m - 5. Give l(-5).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 73 + 610*m**3 + 70 + 63 - 271 + 65.\nAnswer: 610*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*p - 338 = -100 for p.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u + 1290 = -3*u + 1206 for u.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 3, c: 5, b: 2}. Give prob of picking 1 x and 2 b.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 21450330 - 4?\nAnswer: 21450322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -275457, -1101811, -2479067, -4407225, -6886285?\n\"Answer: -275451*g**2 - g - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12\/3 + 192\/(-42) + 0.\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-520)\/(-40))\/(-117)*(-4)\/(-12)?\nAnswer: -1\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + -33 + -403 + 551 + -259.\nAnswer: -144","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gm when two letters picked without replacement from {a: 1, g: 7, m: 1, i: 5}?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00706712 rounded to 3 dps?\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-10)\/(-3))\/((-6)\/(-9)). Let v(y) = 8*y - 4. Let k(z) = 2*z + 1. Let a(i) = 10*k(i) - 2*v(i). Does 4 divide a(b)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 3*1088\/12*17*1250. What is f rounded to the nearest one hundred thousand?\nAnswer: 5800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - z + 6 = 0, -2*z + 3*z - 1 = 0. Put 0.03, q, 0.4 in descending order.\nAnswer: q, 0.4, 0.03","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a + 2847*x + 5 = 2846*x - 1, -5*x + 4 = -16 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t - 8 = -31*w + 30*w, 5*t = 2*w - 25 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 57 is divided by 15?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -a + 1. Let x(g) = 20*g - 20. Calculate -15*v(d) - x(d).\nAnswer: -5*d + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 109688049.\nAnswer: 3, 1091, 11171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1122 is divided by 53.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -s**2 - 13*s + 201. Let c be h(-22). Is c < 176\/79?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1067670454 a multiple of 73?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 47a3d + -14?\nAnswer: 47a29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1595657047 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 24232420 (base 5) in base 11?\nAnswer: 1457a8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jllj when four letters picked without replacement from jjjjljjlljjj?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand -l + 4 - 4 + 9*l + 10*l + 5*l - 28*l + 1 - 5*l + 5 - 5 + 4*l + 3*l - 5*l + 2*l - 4*l + 0*l + (2 + 1 - 1)*(-2*l + l + 0*l) + 0*l - 6*l + 0*l.\nAnswer: -18*l + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 89 a multiple of 89?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 1, 40, 139, 328, 637, 1096, 1735?\n\"Answer: 5*j**3 + 4*j - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) be the first derivative of 0*w**2 - 7\/4*w**4 + w + 0*w**3 - 4. Differentiate c(u) with respect to u.\nAnswer: -21*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*c - c**2 - c**3 + 0*c)*(-3 - 1 + 2)*(-4*c**2 + 193*c - 193*c).\nAnswer: -8*c**5 - 8*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + sqrt(72) + 3 + sqrt(72) + sqrt(72) + 0 + sqrt(72) + sqrt(56)\/sqrt(7).\nAnswer: -2 + 26*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 8 = 3*b, 4*z - 3 = 3*b + 5. Let v = -9 - -13. Let r be -5*v\/(-5)*1. Solve -z*i - 5 = 3*t, 2*t = r*t - 2 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 66507?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 4*b + 1. Let p(k) = -12*k - 4. Let o(m) = -6*p(m) - 17*x(m). Give o(-6).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -8361? (a) 0.5 (b) 2 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 + 11.56?\nAnswer: 11.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-2)*x*x**(2\/11))\/(x**(-1\/4))**(-40) assuming x is positive.\nAnswer: x**(-119\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of ((-4)\/(-18))\/((-8)\/(-134)) and ((-1)\/(-12))\/(14\/2114).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 25*s**5 - 147*s**5 - s**4 - 427*s**2 - 472*s**2 - s**5 wrt s?\nAnswer: -7380*s**2 - 24*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 397069?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 432811000 to the nearest 1000000.\nAnswer: 433000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -217000 rounded to the nearest 10000?\nAnswer: -220000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 613353?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) be the second derivative of -u**6\/15 - 55*u**4\/12 - u**3\/3 + 1423*u**2\/2 + 142*u - 1. What is the second derivative of x(r) wrt r?\nAnswer: -24*r**2 - 110","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*n + 20 = 5*m, -2*m + 0*n + n = -8 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.63 and 6.\nAnswer: -3.78","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 922929, 922935, 922941, 922947, 922953, 922959?\nAnswer: 922965","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2392 and 213563740?\nAnswer: 1196","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 4564 divided by -14?\nAnswer: -326","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) be the second derivative of -7\/50*g**5 + 1\/75*g**6 + 3*g + 8\/5*g**2 - 4\/3*g**3 + 0 + 3\/5*g**4. Factor c(y).\nAnswer: 2*(y - 2)**3*(y - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2 or -7.441423?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 355f9 - 74?\nAnswer: 35585","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -113\/2940 and -29\/2685004.\nAnswer: 40275060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -235, -235, -241, -259, -295, -355, -445, -571?\nAnswer: -739","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 59*r - 39*r = -40 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) be the third derivative of l**6\/120 + l**5\/60 - l**4\/24 + 17*l**3\/6 + 63*l**2. Calculate s(0).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 25*y = -2016. Let c = -254 + 266. What is the greatest common factor of c and y?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.49 + 0.49. Let v = -5 - 0. Sort 0.5, v, r in decreasing order.\nAnswer: 0.5, r, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1968.\nAnswer: 2, 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -35846*s*u**2*y - 13*s*u**2 + 3*u**2*y + 438*u*y - u - 675 wrt s?\nAnswer: -35846*u**2*y - 13*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/3? (a) -3 (b) -3\/7 (c) 0.23 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n + 15 = m + 3, -4*m + 4*n = 16 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 253144?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 74*l**2*t**3 + 2767944*l**2*t**2 + 7*l**2*t + 14*l**2 - 9*l*t - 3*l + 21 wrt t.\nAnswer: 444*l**2*t + 5535888*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t = -2 + 10, i + 7 = 3*t for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -87 - -263\/3. Let f = 24\/7 + -106\/35. Which is the second smallest value? (a) -0.1 (b) f (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (338*j + 26 - 94 - 339*j)*(-5*j + 0*j + 3*j) as z*j + i + o*j**2 and give z.\nAnswer: 136","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 3, g: 1, p: 1, l: 5}. What is prob of sequence lfgf?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -15 - 14 - 29*y + 31*y. Let b be l(17). Suppose 4*i - 5*n = 13, -2*i = i - b*n - 16. What is i rounded to 1 dp?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -65\/41 + 209\/287. What is the closest to l in 1\/3, 2\/13, -0.04?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -491*i + 5. Let a(q) = -987*q + 11. Calculate 4*a(h) - 7*u(h).\nAnswer: -511*h + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (-7)\/(-21)*(-5)\/11*(-456)\/(-95)\nAnswer: -8\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -8.07 - 0.13. Let x = 0.2 + k. Let q = -11 - x. What is the biggest value in 0.5, q, -1\/9?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 5, u: 1, l: 3}. Give prob of picking 2 x and 2 l.\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hhh when three letters picked without replacement from {l: 7, h: 12}.\nAnswer: 220\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 833069?\nAnswer: 251, 3319","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = d**4 - d**3 - 2*d**2 - 2*d. Let t(w) = -58*w**4 - 647*w**3 - 1029*w**2 - 334*w + 100. Let h(a) = -3*k(a) - t(a). Let h(l) = 0. Calculate l.\nAnswer: -10, -1, 2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v - 3*v + 66 = 0. Let w(o) = -o**3 - 5*o**2 - 5*o + 7. Let l be w(-3). Suppose q + l*s = v, -2*q + 3*q + s - 19 = 0. List the prime factors of q.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -27599 - 1321850.\nAnswer: -1349449","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -73\/847527 and -99\/7958.\nAnswer: 1695054","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1795829850?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 209 + -57. List the prime factors of u.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -57, 1, -117, 3 in descending order.\nAnswer: 4, 3, 1, -57, -117","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 69\/784 and 127\/140.\nAnswer: 3920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 32, 22, 6, -16, -44?\n\"Answer: -3*z**2 - z + 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 72 = -0. Let d be 162\/r + 6\/(-8). What is the units digit of 1\/2 - (-99)\/d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ffffffffffnffff. What is prob of sequence ff?\nAnswer: 13\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -22\/1518149 equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 607875.8 to the nearest 100.\nAnswer: 607900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -10, -21, -34, -49, -66?\nAnswer: -85","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = h + u - 7, -22 = -5*h + 4*h - 4*u. Suppose -5*c + a = -11, 3*a - h = 2*c + a. Solve 0 = -5*i + 2 + c for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 252, 474, 698, 924?\nAnswer: 1152","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a**(-2)*a)\/a)\/(a*a**(3\/4))*(a*a\/(a**1*a*a))**(3\/2))**(11\/5) assuming a is positive.\nAnswer: a**(-231\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3279*a - 3276*a - 3282*a - 3285*a + 16399*a - 3278*a.\nAnswer: -a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = -1, 214*x = 210*x - 2*p + 654. Does 4 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 560*q + 283*q + 402*q - 2*q + 4 - 4 - 1 + 1 - 2*q + (0*q - 2*q + q)*(0 + 0 - 1) + 0 + 0 - 2*q + 2*q - 4 + 4 - 2*q + 1 - 1.\nAnswer: 1240*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) be the second derivative of h**4\/4 - 24*h - 1. Let k(t) = -4*t. Give k(v(x)).\nAnswer: -12*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 18*g + 1. Suppose 0*p = -2*p + 2. Is b(p) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 371 + 68 = -h, 930 = 3*h + 5*w. Suppose h = 13*y - 8*y. What are the prime factors of y?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = b**2 - 3 + 10*b + 4*b - 6*b. Let j be h(-8). Is 1 - j*16\/2 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10775032 divided by 1346879.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -116 + 117. Is b greater than 2\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 4, 64 in decreasing order.\nAnswer: 64, 4, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 8 - (1 + (12 - 6) + -1)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + sqrt(12)\/sqrt(4) - (sqrt(147) - (-1 + sqrt(147))).\nAnswer: -3 + sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 4242 times 0.6?\nAnswer: 2545.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.3, -348\/19, 3\/67 in descending order.\nAnswer: 0.3, 3\/67, -348\/19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 times -27146.6?\nAnswer: -2714.66","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*c - 4*c + 18. What is the greatest common factor of 198 and c?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in z**2 - 11*z**2 - 2*z**2 + 13*z**2.\nAnswer: z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from oyypypopoyoyypyyy. Give prob of picking 2 o and 1 y.\nAnswer: 27\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1724905256?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 3 r when four letters picked without replacement from {a: 3, r: 3, j: 1, y: 7, s: 3, k: 1}?\nAnswer: 1\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4944 and 181280.\nAnswer: 543840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1280107178 to the power of 1\/3, to the nearest integer?\nAnswer: 1086","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/46043 < -0.4851?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1144*f**3 + 1151*f**3 + 1154*f**3 + 1152*f**3 - 4609*f**3.\nAnswer: -8*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -6922803*r*u - 2380*u + 2296 wrt r?\nAnswer: -6922803*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 354 minutes before 10:37 AM?\nAnswer: 4:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -4615531 (base 8) in base 16?\nAnswer: -131b59","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*m = -0*m - 581. Let d = m - 26. What is the units digit of d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) be the third derivative of -z**4\/12 + z**2. Let a be -2 + 0\/(-4) + (-8)\/(-2). Let o(x) = -6 + 79*x - 39*x**a + 6 - 77*x - 8*x**2. Give o(u(p)).\nAnswer: -188*p**2 - 4*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -10 and -1716514.\nAnswer: 17165140","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2952 + 2968. Let v = 88 - 87. Calculate the greatest common factor of u and v.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -16*a + 57. Let l(m) = -16*m + 73. Let n(p) = -2*l(p) + 3*q(p). Calculate n(2).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -329, -663, -997, -1331, -1665, -1999?\n\"Answer: -334*m + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 7\/21 + 3482\/(-10482). Let t = 4199914345 + -29349001332807\/6988. Let r = t + g. Calculate the common denominator of -53\/12 and r.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 8? (a) 2 (b) 0.06 (c) -3 (d) 92 (e) -3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 621 by -3.\nAnswer: -207","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) be the second derivative of 0 + w**2 - 1\/3*w**3 - w + 1\/6*w**4. Let o(k) = -k. Determine -b(c) + 2*o(c).\nAnswer: -2*c**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 389 is divided by 207?\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5748609 is divided by 10359.\nAnswer: 9723","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) be the third derivative of -l**7\/105 + 13*l**5\/60 + 13*l**2. Find the third derivative of c(z) wrt z.\nAnswer: -48*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -10*c - 15. Give k(8).\nAnswer: -95","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4505655 and 830.\nAnswer: 415","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17227 is divided by 358?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 75.894 - 75.8976289. What is h rounded to five dps?\nAnswer: -0.00363","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bbbcvbdcbcbbbbvdbbd. Give prob of sequence bcvv.\nAnswer: 11\/15504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.8 - -0.2. Let o = c - 0.8. Let a = o + -0.1. What is the third smallest value in 2, -1, a?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 81*o + 2931 = 481 + 244 - 1682 for o.\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2031342 (base 6) to base 12.\nAnswer: 48552","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.43583 and -3917?\nAnswer: 3917.43583","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 8731*v**3 + 2*v + 148929 wrt v?\nAnswer: 26193*v**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*b**2 + b**4 + 3*b**2 + (3*b**2 + 0*b**2 - 2*b**2)*(b - b + 2*b**2) + 0 + 0 + 2*b**4 - 5*b**4 + 5*b**4 - 2*b**4 + 25*b**4 - 7*b**4 + 4*b**4.\nAnswer: 25*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*g - 31*g + 0*g - 9*g.\nAnswer: -45*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.03 + -0.33. Let u = 2287.9 - 2418. Let v = -130 - u. Which is the third smallest value? (a) v (b) 2 (c) 5 (d) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32 + 19 = -17*y for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1782 and 16896.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 27964, 55909, 83862, 111823, 139792, 167769, 195754?\nAnswer: 223747","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -4 * -0.513828\nAnswer: 2.055312","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-142)\/(-4) + (-4)\/8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16917 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-27*w**2 - 9*w**2 - 16*w**2)*(58*w - 1347 + 1347).\nAnswer: -3016*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) be the second derivative of -3*h**6\/10 + 27*h**5\/20 + 1532*h**2 + 46*h - 1. What is the derivative of k(v) wrt v?\nAnswer: -36*v**3 + 81*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -368 + 368. Solve f*p - 4*q = p - 14, -q - 4 = 4*p for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1088.0735 and -1.4.\nAnswer: -1523.3029","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1464 + -1469. What is the fourth smallest value in -0.5, s, -0.11, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o - 10*t = 13, 5*t = 3*o - 60 + 13. Solve 0 = 17*f - o*f + 8 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s = -s - 9. Let t = s + -1. Suppose -w + t*w + 160 = 5*x, -3*x - 3*w + 78 = 0. What are the prime factors of x?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8790593 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2417 + -2417. Sort 0.01, -0.09, -3\/4, a, -1\/4 in ascending order.\nAnswer: -3\/4, -1\/4, -0.09, a, 0.01","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*((-3*2*sqrt(171) - sqrt(171))**2 - sqrt(171))*1 - (-5*3*sqrt(171) + sqrt(171) + -2 + 5))*-1.\nAnswer: -60*sqrt(19) + 50277","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12)\/(-15)*(6\/561 - 1368\/(-10032)).\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 951009443 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -o**3 - 3*o**2 - 2*o + 1. Let m(u) = -2*u**3 - 8*u**2 - 5*u + 3. Let b(n) = 11*j(n) - 4*m(n). Calculate b(-1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in p - p + 26*p**2 + 8 - 14*p**2 - 16*p**2.\nAnswer: -4*p**2 + 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (8\/3*73172\/(-53216))\/(8\/6 - 1)\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 766056.4nm in millimeters?\nAnswer: 0.7660564","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -20 - -33. Which is the third smallest value? (a) -2 (b) 1 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c**5\/8 - 31*c**4\/8 + 65*c**3\/4 + 531*c**2\/2 - 567*c = 0. What is c?\nAnswer: -7, 0, 2, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -66966 times -8\nAnswer: 535728","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -8365 + 8366. Which is bigger: g or -421.6?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cu when two letters picked without replacement from {k: 6, t: 2, c: 4, w: 2, v: 1, u: 2}.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12)\/(-12)*(-1)\/1?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 90725439 to the power of 1\/2, to the nearest integer?\nAnswer: 9525","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00770279474 to six dps.\nAnswer: 0.007703","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18 - ((-13 - (8 - 17)) + 0 + 9).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -149 + 152. Let n = 77\/36 + -26\/9. Let s = -2 - -2.1. Which is the smallest value? (a) s (b) 2\/13 (c) y (d) n\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/(l*((l\/l**9)\/l)\/l))\/(l*l*l**(-5\/2))*((l\/(l*l*l**(-11)*l))\/l)\/l**(2\/29) assuming l is positive.\nAnswer: l**(1069\/58)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/((a*a**(2\/13)*a)\/a))\/a**4)\/((a*a\/a**(-2))\/a**(-2))*((a\/(a\/(a\/(a*a**(2\/7)))))**(-1))**28 assuming a is positive.\nAnswer: a**(-28\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -42\/85 and 31\/17958620?\nAnswer: 305296540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 40285409 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -69305 + 34*j**3 + 69305 + 7*j**3.\nAnswer: 41*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5 - 1 + 3)*(3 + 0 - 1)*(-2 + 2 - 1)*(-5 + 11 - 8)*(1 - 1 + 2*i**3) to y + r*i**2 + d*i + o*i**3 and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l - l + 3*a = -2, l - 2 = 2*a. Suppose -l*n = -4*n. Suppose -4*k + n = -8. What is the greatest common factor of 4 and k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 1, t: 5, r: 1, v: 4, u: 1, f: 5}. What is prob of sequence vux?\nAnswer: 1\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -49, -50, -41, -16, 31?\n\"Answer: t**3 - t**2 - 5*t - 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.2991 + -5.2991. Let r = 18 + -13. Let y = 5 - 7. What is the closest to y in r, 0.1, n?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = -5*u - s, 0 = u - 2*u - 2*s + 9. Let f = -500 + 499. Sort f, u, -3.\nAnswer: -3, f, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 33991 and 325598?\nAnswer: 6186362","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6 is divided by ((-6)\/(-3)*1)\/1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = -0*o. Suppose 5*j + 4 = 29. Suppose -j*q = -0*q - 15. Solve -14 = 5*s + 3*v - 0*v, o = -q*v - 9 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -u**2 + u + 3. Suppose 3*l = -0*l. What is the units digit of v(l)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -196 - -198. Suppose -5 = o - 0*o. What is the nearest to 1 in -3, q, o?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -149*i**2. Let m(c) = -4*c**2. What is x(m(g))?\nAnswer: -2384*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -79\/348 and ((-16)\/72*3)\/1 + (-475)\/(-522).\nAnswer: 1044","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 324?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 17060 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gga when three letters picked without replacement from gggagagaag?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Total of 2161 and 0.3.\nAnswer: 2161.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 16484897?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -v**3 + v**3 + v + 2*v**2 + 1 - 2*v**4 in the form m*v**2 + b*v**3 + c + a*v + x*v**4 and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3267) - (sqrt(3267) + 1*sqrt(3267)) - sqrt(27) - 2*sqrt(243))\/(sqrt(108)\/(sqrt(12) - sqrt(120)\/(2*sqrt(10)))).\nAnswer: -9*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 0*h**2 - 12*h - 21 - h**2 + 15. Let s be k(-11). Solve 3*t - 3*w - 7 = -5*w, s*w = 10 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -8*h + 12*h**2 - 4*h**2 + 3*h**2 + 2*h**2 + 2 in the form d + g*h + r*h**2 and give r.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -211, 0.2.\nAnswer: -211, 0.2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 34*g + 8*g + 50*g + 10*g.\nAnswer: 102*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 18931 + -18936. Which is the smallest value? (a) 47\/11 (b) -1 (c) -2 (d) f\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -93 + 145. Let j(x) = -3*x**2 + x**2 + 3*x + 5*x - 6 + 3*x**2. What is the remainder when z is divided by j(-11)?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (140\/49)\/((-10)\/35)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + 1 - (-4 + (11 - 11))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 839*o - 14*o**2 - 841*o - 8*o**2 to the form m*o**2 + u + k*o and give m.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -7 + 61*v - 24*v + v**2 - 32*v. Suppose w + 0*y = 2*y + 19, -4*w + 4*y = -68. Suppose -11*k + w*k = -28. Calculate o(k).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2*24\/(-496)*-31.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*m**3 + 105*m + 2*m**3 - 138*m - 12 - 24*m**5 wrt m.\nAnswer: -480*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 163 + -243. Let s be 2\/(-7) + h\/(-35). Suppose s*b + 31 = 93. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 times -13.3?\nAnswer: -2.66","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 (base 15) in base 13?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 169702 and 4756414?\nAnswer: 1586","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 656, 1461, 2466, 3719, 5268, 7161, 9446?\nAnswer: 12171","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is i in i**3\/2 - 15311*i**2\/2 + 7655*i = 0?\nAnswer: 0, 1, 15310","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -404021412 + 312?\nAnswer: -404021100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -165 + 168. Which is the nearest to 1\/3? (a) 2\/11 (b) 0 (c) 13 (d) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uhtupphtotth. What is prob of picking 1 p and 1 h?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Are 150488 and -3.88 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = 4*j + 2, -4 + 0 = -4*q - 4*j. Which is the closest to q? (a) -3\/2 (b) 0.4 (c) -1.7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.07*-0.0022\nAnswer: -0.000154","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -1210*g**3*q**2 - 5688*g*q**2 + 2*q**2 - 12*q + 695769 wrt g.\nAnswer: -3630*g**2*q**2 - 5688*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1569\/2 - 6237\/8. Let n = q - -13\/8. Find the common denominator of n and (-89)\/6 - (-1 + (2 - 1)).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = f**2 + 44. Let y(n) = -9*n - 36. Let b(k) = 16*k + 60. Let o(m) = -3*b(m) - 5*y(m). Give o(x(t)).\nAnswer: -3*t**2 - 132","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/89326232 != 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1118 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: Let d(y) = 3*y**2 + 215*y + 216. Give d(-69).\nAnswer: -336","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*f - 3*f + 2*f)*(f + 0*f - 2*f) + (3*f - 4*f + 2*f)*(-6*f + 0*f - f).\nAnswer: -9*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 611 minutes before 12:37 AM?\nAnswer: 2:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 2*u + 48. Let w(o) = -17*o**2. Calculate h(w(g)).\nAnswer: -34*g**2 + 48","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/7*(-14)\/(14\/3)?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -15*p**3 - 7*p**2. Let z be ((-15)\/(-3))\/((-1)\/(-1)). Suppose 0 = v - 0*v + z. Let n be m(v). What is n rounded to the nearest 100?\nAnswer: 1700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1)\/((-2)\/(-4)*-2). Suppose -3*s - 7 = -t. Let d(u) = 4*u + 1. What is d(s)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 24*b**5 + 35*b**3*d - 2*b*d - 2*b - 8365*d - 6 wrt b.\nAnswer: 480*b**3 + 210*b*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + 4*f - 35 = -0*s, 0 = 4*s + 3*f - 35. Let g = -2 + s. Let x(u) = 2*u**2 - 4*u + g*u + u. Let p(v) = -3*v**2. Calculate x(p(a)).\nAnswer: 18*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 13\/1581012 and -91\/58556?\nAnswer: 1581012","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 30\/(((-207)\/(-230))\/(12\/(-20))) - -6.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6727)\/(-3565) - 54\/621.\nAnswer: 9\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = 5*s + 25 + 7, -44 = 3*s - 5*k. Let w = 13 + s. Let b be (-2 - 1)\/3 + w. Solve -36 = b*f - 4*o, -5*o + 3 + 18 = f for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4\/13 - 2\/13*y + 4\/13*y**2 + 2\/13*y**3.\nAnswer: 2*(y - 1)*(y + 1)*(y + 2)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) be the first derivative of -h**4\/4 - 4*h**3\/3 - 7*h**2\/2 - 4*h - 27. What is the units digit of f(-4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 9*y**2 + 179*y - 1200. Let g(v) = -21*v**2 - 360*v + 2406. Let p(h) = -4*g(h) - 9*j(h). Factor p(w).\nAnswer: 3*(w - 49)*(w - 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 330\/(-170)*1 - -2. Which is bigger: r or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1786*c**3 + 871*c**3 + 878*c**3.\nAnswer: -37*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 531 in -1, -1\/9, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -184.1*-1656.\nAnswer: 304869.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 18692, 0, -10, -27 in descending order.\nAnswer: 18692, 0, -10, -27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) be the first derivative of v**4\/2 - v**3 + v**2\/2 + v - 3. Suppose -4*c - 2 = -5*c. Let d be t(c). Calculate the highest common factor of d and 28.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*a**2 - 234*a - 231.\nAnswer: -3*(a + 1)*(a + 77)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.388 - -36.012. Let v = -3.4 + j. Let g = 32.8 - v. Which is the second biggest value? (a) -3 (b) -3\/4 (c) g (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -8827*n - 427. Is r(-78) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) be the second derivative of 1\/3*a**3 + 31\/2*a**2 - 13 + a. Differentiate x(v) wrt v.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -z - 4. Let w be o(-6). Suppose -3*y + w*y = -4. What is the units digit of 7\/2 + (-2)\/y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 2*v**2 - 5*v - 1. Calculate f(2).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -246946003*g**6 + 40*g**2 + 41757*g?\nAnswer: -29633520360*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -638 divided by 2?\nAnswer: -319","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 5677082?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 617793?\nAnswer: 3, 11, 97, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide 7 by 12.\nAnswer: 7\/12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -12 - -128. Suppose -4*r + o = 4*k, -2*k - 3*k - 3*r + 141 = 0. What is the greatest common divisor of 18 and k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 55.94 + -56.14. Which is the second biggest value? (a) 10 (b) 2\/9 (c) i (d) -19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5632\/(-14))\/(-88)*(-10)\/((-200)\/15).\nAnswer: 24\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b when two letters picked without replacement from {i: 2, d: 3, u: 4, b: 8}.\nAnswer: 7\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 3015884 (base 10) to base 5\nAnswer: 1233002014","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -64.55 + 3.55. What is the nearest to 1 in b, -0.1, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 8\/16*(1 + -1). Which is bigger: 4\/3 or c?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -14*m**2 + 6*m - 4. Let o(d) = -d**2 + d - 1. Give h(k) - 4*o(k).\nAnswer: -10*k**2 + 2*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) be the second derivative of q**7\/9 - 2*q**6\/3 + q**5\/2 + 20*q**4\/9 - 4*q**3\/3 - 39*q - 1. Determine z, given that d(z) = 0.\nAnswer: -1, 0, 2\/7, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vg when two letters picked without replacement from {v: 3, g: 7}?\nAnswer: 7\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.0621 + -0.0046. Let j = -0.0195 + n. Let q = -2 + 2. Are j and q equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 14123*i - 1627. Is h(12) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*u = 3046 + 204. What are the prime factors of u?\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 343.23 - 341. Let i = g + -0.23. What is the closest to -1 in -1\/2, -0.1, i?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 3*d**2 + 6*d + 6. Let t be (-2838)\/26 + 40\/260. Let l = t + 116. Let q(p) = 5*p**2 + 11*p + 11. What is l*g(f) - 4*q(f)?\nAnswer: f**2 - 2*f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -u**3 - 27*u**2 - 83*u + 30. What is l(-4)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 20\/(-12)*(76\/(-140) + (-5)\/(-35))?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13115 = -550758*z + 550543*z for z.\nAnswer: 61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 39 divide 1581668?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/3 in 1, 0.1, -0.03, 2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -774 - -4.2356.\nAnswer: -769.7644","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -14*h + 8. Determine k(1).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-n**2 - 2*n**2 + 2*n**2)*(-4*n**2 + 4*n - 2*n + 3*n**2).\nAnswer: n**4 - 2*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 249*l + 3*f + 645, 4*l = -20*f + 19*f + 8 + 14 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 98 is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 253 minutes after 4:38 AM?\nAnswer: 8:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 u when four letters picked without replacement from {u: 4, w: 6}?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: ((-1998)\/15096)\/((-33)\/(-88))\nAnswer: -6\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3102 - 222133?\nAnswer: -213031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 4 + 23431402?\nAnswer: 23431406","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 1, 3244, -3 in decreasing order.\nAnswer: 3244, 2, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 71 divide 1231994201?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00044471 to six decimal places.\nAnswer: -0.000445","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 91\/178 and 12\/(-5)*(2 + (-126)\/(-27)).\nAnswer: 178","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 11*c - 5*b + 9, -4*c - 51 = 2*b - 63 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000311077769 to 5 dps.\nAnswer: -0.00031","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-4\/9)\/t*t**(-10))\/(t*t\/t**4)**(-37) assuming t is positive.\nAnswer: t**(-769\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3 - (-24 - (3 + -1)) is divided by ((-3)\/2)\/(9\/(-60)).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = r + 5*j, -3*r - 3*j = r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 110 - 11110101?\nAnswer: -11101111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -8 - (12\/(-12) + -11). Solve 13 - k = -f - 4*o, -4*o = -4*f + 4 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -17\/65231 and -61\/4319565.\nAnswer: 177102165","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1155 to the power of 1\/5, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z = -3*n + 35, 0 = -5*n - 2*z - 3*z + 35. Let y be 1 - (-12)\/(-5)*75\/(-10). Let o = y - n. Solve 3*g + 28 = -5*x, x + o = 3*g - 8*g for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22403311 (base 5) in base 12?\nAnswer: 98008","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 6267158637 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 3*m = 5*q - 110, 2*q = 2*m + 44. Let y = -12 + q. Solve 0 = -c - 2*d - y, -2*d = -0*c + 3*c + 14 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 71\/111 - -1\/37. Which is the nearest to -2\/5? (a) n (b) 1 (c) -19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 a factor of 300069212?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-22)\/(-10) + (-21)\/105 - -101. Factor 3*l**3 - 218*l**2 - 6*l**3 + c*l**2 - 2*l**3.\nAnswer: -5*l**2*(l + 23)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -207.395535 - -207.4. What is h rounded to 3 dps?\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p**4\/8 - 1275*p**3\/8 + 2043*p**2\/8 + 208035*p\/8 + 285525\/4 = 0. What is p?\nAnswer: -10, -3, 15, 423","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -2*m**3 + 3*m**2 - 2*m + 3. Let j be f(2). Let v be -1*(3 + j - 3). Solve -3 = -v*o + 7 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -w**3 - 7*w**2 + w - 5. Let q be s(-7). Let x = 20153\/2190 + -1\/438. What is the common denominator of 2\/6*477\/q and x?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is i in -38\/9*i**2 + 14\/9*i**3 + 8\/9 + 16\/9*i = 0?\nAnswer: -2\/7, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*z - 3*z = 6. Let f(u) = u**3 - 3*u**2 + 3*u - 3. Determine f(z).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 68779 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 2 + 9 - 14 - 11*j - 24. Let i = -2 + -7. Let g(r) = -3*r - 7. Let c(d) = i*g(d) + 2*b(d). What is the first derivative of c(u) wrt u?\nAnswer: 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -98*x + 98*x - 5*x**2 - x**3 + 2*x**2 - x**3 - 2*x**2 + x**3 + 0*x**3 + x**3 + (-3 + 2 + 0)*(x - x - x**3) + x - x + 2*x**3 + x**3 - x**3 - x**3.\nAnswer: 2*x**3 - 5*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = h**3 + 20*h**2 + 10*h + 6. Calculate m(-19).\nAnswer: 177","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (20*i + 111*i - 33*i + 1)*(46 + 335 - 117 + 138).\nAnswer: 39396*i + 402","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 6\/17 (b) 8\/7 (c) 5\/2136 (d) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000003396585 to six decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand g - 10*g - 4*g + (-2 + 1 + 2)*(g - 3*g + 3*g) + 0 + 0 + 2*g + 2 + 3*g - 2 + (g + 4*g - 7*g)*(-1 - 1 + 0).\nAnswer: -3*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 6 and 263172?\nAnswer: 263172","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1441506 - 31?\nAnswer: -1441537","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lkkldlckclrdkkrrr. What is prob of picking 1 r and 1 k?\nAnswer: 5\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 324519375101 take away -9.83?\nAnswer: 324519375110.83","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13 = -124*p + 11 + 2 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 27 - 23. Solve -i*f + f - 3 = 0 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -533 divided by 97.\nAnswer: -533\/97","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-45)\/(-4))\/(-9)*-4. Let h(x) = 2*x - 9. Let d be h(n). Let k be (-150)\/(-39) - (-4)\/26. What is the highest common divisor of d and k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.0481 and 0.1273646352.\nAnswer: 0.0792646352","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) 1\/5 (b) -2\/167 (c) -1\/5 (d) 51 (e) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -v**3 - 6*v**2 - 8*v + 4. What is the units digit of u(-7)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 112a2 (base 11) in base 9?\nAnswer: 24350","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -9 + 5 + -2 + 9\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -2*b. Let l be m(-2). Let w(k) be the third derivative of -k**5\/30 + k**4\/6 + k**3\/6 - 6*k**2 + 4*k. Determine w(l).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 31853.\nAnswer: 53, 601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 13428 or 14241?\nAnswer: 13428","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + -19.236659434.\nAnswer: -18.236659434","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -36 + -6 + (-14 - -7) + 4 + 19?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6699 (base 12) to base 5.\nAnswer: -330344","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2 (b) 6 (c) 41\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-9)\/(-48))\/(-3))\/((-1)\/4)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -15450448 rounded to the nearest one hundred thousand?\nAnswer: -15500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -7582, 0, 4\/3, 2\/9, -6 in descending order.\nAnswer: 4\/3, 2\/9, 0, -2, -6, -7582","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -5191023 times 4?\nAnswer: -20764092","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -2*f**3 - 30*f**2 - 3*f + 14. Let z be d(-15). Suppose 3*n - 30 = 5*s, -14 = -60*n + z*n + 3*s. Solve q - 41 = 5*q + n*a, 3*a = -3*q - 27 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -65729*o**4*q + 341*o**3*q - 4*o**2*q - 2970*o**2 + o*q + 18*o - 4*q - 1 wrt o?\nAnswer: -1577496*o*q + 2046*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 449 and 5200.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*i - 8*d + 5*d + 23, -5*i + 5*d = 35. Is 415 less than or equal to i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -7*(-2 + 3\/3). Suppose r + 46 = 121. Suppose j*a - r = 65. What is the least common multiple of a and 78?\nAnswer: 780","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fzqffqqzqq. Give prob of picking 1 q and 2 f.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -107\/54012 and 23\/156.\nAnswer: 702156","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 7420 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: What is the third derivative of 4*o*u**5 + 2*o*u**4 + 23*o*u**3 + 2*o*u**2 + o - 3*u wrt u?\nAnswer: 240*o*u**2 + 48*o*u + 138*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 g and 1 j when four letters picked without replacement from juugjgjjgjggggg?\nAnswer: 8\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 18*r**2 + 41*r + 33*r + 33*r - 121*r + 5 - 2*r. Calculate a(1).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 916430?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1156 and 1690888.\nAnswer: 28745096","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -3737 >= -3739?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = g**2 - 10*g - 34. Let v be (-5)\/((20\/72)\/5). Let k = v - -103. What are the prime factors of x(k)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -2*v**2 - 3*v - 3. Let d = 12 + 7. Suppose d = -5*m - 3*g, -2*m - g = -3*m + 1. Let o = -4 - m. Determine n(o).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3602507*c**2 - 57996*c - 13 wrt c?\nAnswer: -7205014","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2\/11 (b) -2\/7 (c) -2.1 (d) 1\/6 (e) -4\/7 (f) 0.04\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -8*h**2 + 3*h + 3. Let w(o) = 56*o**2 - 20*o - 20. Suppose 0 = 12*v - 14*v + 5*z - 60, -52 = 3*v + 2*z. Determine v*m(x) - 3*w(x).\nAnswer: -8*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 76606723.\nAnswer: 1933, 39631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 198 to the power of 1\/2, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -115, -126, -149, -190, -255, -350, -481?\n\"Answer: -j**3 - 4*j - 110","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 4, g: 7, i: 2}. What is prob of sequence ii?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 23560\/(-3534) + 181\/(-3)*1?\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by -104.\nAnswer: 3\/104","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -8 + 6 + 10\/(-1). Let i(q) = -q**3 - 2*q**2 - q - 1. Let s be i(-2). What is the remainder when 5 is divided by (z\/(-8))\/(s\/2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - 2*m + 1 = 4, 0 = -b - 5*m - 15. What is the remainder when 119 is divided by b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s and 1 k when three letters picked without replacement from kssksskkskskkkssksks.\nAnswer: 15\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 26289 or 25144?\nAnswer: 25144","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand -7*z**3 + 36*z**3 - z**3 + (-z**2 + z - z)*(2 - 2 + z) + z**3 - z**3 + 2*z**3 + 1 - 1 - 2*z**3.\nAnswer: 27*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + 2*t + 4*m - 9 = 0, -5*m + 3 = -2*t. Let q be (28\/3)\/(32\/(-24) - -1). Let u be q\/7*t\/(-2). Solve -u*p = -7*p + 10 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(-2\/3)\/(z**(1\/3)\/z*z))\/((z**(-2\/5)\/z)\/z**(-9)))\/((z*z**(-2\/9))**21\/(z*z**(-2\/3))**4) assuming z is positive.\nAnswer: z**(-118\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -1072088.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (sqrt(33) - 4*2*sqrt(33))\/(sqrt(3) + 2*sqrt(432)).\nAnswer: -3 - 7*sqrt(11)\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -129421 - 88883 = -32*g. What is the thousands digit of g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (632\/9954)\/((-3)\/(-43 - -1)).\nAnswer: 8\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 390 and 2832?\nAnswer: 184080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -625*v**3 - 205500*v**2 - 22522800*v - 822832960.\nAnswer: -5*(5*v + 548)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000815187 to 6 decimal places.\nAnswer: 0.000815","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 596*y + 974*y - 5208 = -1034*y. Factor -2\/19*u**y + 12\/19 + 10\/19*u.\nAnswer: -2*(u - 6)*(u + 1)\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 161.\nAnswer: 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -590*u + 193*u + 3 + 198*u + 6*u**3 + 197*u to x*u**3 + q + j*u**2 + b*u and give q.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l**2\/4 + 29*l\/4 - 24 = 0. Calculate l.\nAnswer: -32, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2860*b**3*u**3 + 137*b**3*u**2 + 2*b*u**2 + 3 wrt u?\nAnswer: 17160*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 173 is divided by 29?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 3, s: 5, q: 8}. Give prob of picking 1 s, 2 q, and 1 p.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1064553376 to the nearest integer?\nAnswer: 1021","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 320528, 320505, 320440, 320309, 320088, 319753, 319280?\nAnswer: 318645","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -8 - 3 - 56*a**2 + a**3 + 47*a**2 + 13*a. Is p(9) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 2 + 355)*(-l + 3 + 2*l - 4).\nAnswer: 361*l - 361","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*c**2\/19 - 14824*c\/19.\nAnswer: 2*c*(c - 7412)\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 35880\/50 + 10\/25?\nAnswer: 2, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 174\/145*50\/705*-1.\nAnswer: -4\/47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2480 to the power of 1\/2, to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -3*r + 3. Suppose 0*d - r*d = -5*m - 56, 3*d = -3*m + 15. Suppose 3*o - d = 3*c, 3*o = -2*o + 5. Is -5\/8 greater than or equal to c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1078 is divided by 20.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 874 to the power of 1\/5, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1590 is divided by 145.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -11*g - 3. Let a be s(-1). Let z(x) = a*x - 4 + 3*x**2 - 15 + 10*x - 3. Is z(17) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -26, 21, 150, 403, 822, 1449, 2326, 3495?\n\"Answer: 7*q**3 - q**2 + q - 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, 3, 156, -2 in ascending order.\nAnswer: -2, 3, 8, 156","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -42021 + 3?\nAnswer: -42014","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*2*(11 + (-4850)\/440)?\nAnswer: -1\/22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7713 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = i + c - 253131, -3*i + 5*i - 4*c - 506274 = 0. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2638\/1547 + 2\/221. Find m such that 0 - p*m**3 + 8\/7*m**4 - 2\/7*m - 2\/7*m**5 + 8\/7*m**2 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7 + (-5 + 4 - -6) + -9\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -15395562 divided by -2565927\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1272*o + 12437 = -117307 for o.\nAnswer: 102","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.7187 * -226.\nAnswer: 162.4262","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a decade in months?\nAnswer: 150","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -46.184797 rounded to 1 dp?\nAnswer: -46.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -653416 (base 7) to base 16.\nAnswer: -1bda5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 6459 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -122, -101, -40, 85, 298, 623, 1084?\nAnswer: 1705","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3.7 + -1.3. Let p = 935 - 938. Put -4, n, p, 5 in decreasing order.\nAnswer: 5, p, -4, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.6964125 - -0.78641. Let y = -0.09 + f. Round y to 7 decimal places.\nAnswer: -0.0000025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 97233313 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -189696 = 42*g - 189570 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.039 + -4.339. Round f to the nearest integer.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-18)\/(-316)*180\/38070*94.\nAnswer: 2\/79","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 0*(-3)\/9 - -6. Let c(t) = 3 - y + 8*t**2 + 2*t**2. Let g(q) = -5*q**2 + 2. Let d(w) = -4*c(w) - 7*g(w). What is the derivative of d(p) wrt p?\nAnswer: -10*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 210913*a**5 - 171*a**3 - 10*a**2 - 1122547*a - 4?\nAnswer: 12654780*a**2 - 1026","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -101\/36 and 119\/129924.\nAnswer: 129924","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 6\/(-45)*-5*-6. Let j(w) = w**3 + 3*w**2 - 2*w + 6. Let x be j(d). Let l(i) = -i**3 - i**2 + 2*i. Calculate l(x).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(-9) - 300\/108.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -545 (base 12) to base 4.\nAnswer: -30011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5 - 3 + 0 + (0 - 3 + 1)*(-1 + 5 - 2))*(c - 7*c - 2*c**2 - 1 + 3*c) to h*c + z*c**2 + i and give i.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -14608\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is (-69779)\/(-9) - (21\/(-27) - -1) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1275 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 4\/(-3)*102\/(-51). Solve 0*m + 4\/3*m**5 + 0 - 2\/3*m**2 + o*m**3 - 10\/3*m**4 = 0.\nAnswer: 0, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -p**3 - 2*p**2 - 2*p + 10. Let o be t(-3). What is the greatest common factor of o and 8?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 88 minutes after 3:53 AM?\nAnswer: 5:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16 = 2*z + 4*r - 12, -2*z - 5*r - 4 = 0 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*j - 54 = 2*a - 23*j, -19 = -2*a + 11*j + 2 for a.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 346?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 8, -8 in decreasing order.\nAnswer: 8, 4, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*i - 5*h = -i + 70, 5*h - 50 = 5*i. Let b(r) = -r**3 + 3*r**2 + 4*r - 6. Let q be b(4). Let v = q - i. What are the prime factors of v?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1\/3 (b) -0.4 (c) 2.21 (d) -1\/4 (e) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 7b + -28b?\nAnswer: -210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 527*f - 24997. Give u(61).\nAnswer: 7150","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b = -2*y - 66, -3*y = -0*y - 3. Let s = -10 + b. Is 4 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-2)\/5)\/(427\/915))\/((-1)\/((-42)\/(-9)))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 2*d**2 - 17*d + 12. Let s be v(8). Let p = -4 + s. Suppose p = -5*g - 16 + 36. Solve 0*l + 16 = -g*l for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 265, 266, 267?\nAnswer: 268","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (2\/5)\/(1\/50). Suppose -6*q - 8 = -h. Solve 3*g + 3*n + q + 1 = 0, -5*g = -5*n + 45 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 2*g**3 - 3*g**2 + g - 2. Let v be i(2). Suppose 6*s - v*s = 6. Solve 0*h - s = h for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -546*w + 3 = -547*w for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:31 AM and 7:46 AM?\nAnswer: 315","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -43*w + 156*w - 57*w.\nAnswer: 56*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 6072622 and 4351?\nAnswer: 229","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 14\/75 - 482\/975. Let z = k - 1\/39. Let b = -151.5 + 151. What is the fourth smallest value in 2, 10, z, b?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 3*l**3 - l**2 + 4*l + 23. Let h be i(-5). Let b = h + -99. Let m = b + 733. List the prime factors of m.\nAnswer: 3, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 22.66 + -2.46. Let n = d + -11. Round n to the nearest integer.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.47927 to 1 dp.\nAnswer: -1.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -18*451\/(-41)*(-7)\/77\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ff when two letters picked without replacement from {f: 3, g: 15}.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 6504647 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*p - 18 = -18*p. Suppose -z - 4*r - 15 = 0, 5*z + 27 = p*r - 7*r. Which is the second smallest value? (a) -0.5 (b) z (c) -33\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 12 + 0 = 0. Suppose -5*i - 145 = -p*z, -5*z - 2*i + 140 = -0*z. What are the prime factors of z?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 6*m = 4. Solve -n = 2*i - 2*n - m, -i = -2*n + 7 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -180 by 23.\nAnswer: -180\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -4*g**2. Suppose 5*x - 22 = 3*x. Let t(z) = x + 7*z**2 - 11. Determine t(y(p)).\nAnswer: 112*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 17\/205775765 and 107\/50?\nAnswer: 2057757650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 17 + -7. Let j(a) = -a**2 + 10*a - 3. Let u be j(o). Let t(s) = 3*s**2 + s - 4. Calculate the least common multiple of t(u) and 22.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6014735.\nAnswer: 5, 19, 63313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -350*h**3 - 295*h**3 - h**2 + 685*h**3.\nAnswer: 40*h**3 - h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -9*m - 64. Give s(-7).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*a = -59 - 51 + 30. Let z(c) = 4*c**2 + 1 - 2*c**3 - c + 4 + c**3. Give z(a).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 13. Let x(n) = 3*n + 75. Determine -4*c(u) + x(u).\nAnswer: 3*u + 23","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 296\/(-370)*(-2)\/(9 - 1). Factor 0*x + 1\/5 - m*x**2.\nAnswer: -(x - 1)*(x + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 2, q: 2, h: 9, a: 1}. Give prob of sequence qdah.\nAnswer: 3\/2002","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -27 + 26.94. Let h = -458.93 - -459. Put j, h, 3, 5 in ascending order.\nAnswer: j, h, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = n**3 - 20*n**2 - 42*n - 37. Determine i(22).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + -3 + (-15)\/(-4).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:30 PM and 6:34 AM?\nAnswer: 664","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 1, 0, -669, -4, 79 in descending order.\nAnswer: 79, 3, 1, 0, -4, -669","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((33\/6)\/11)\/(2\/8751). Let x = s - 2208. Calculate the common denominator of x and 143\/24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 2 = -0*j. Let t(l) = -l + j*l + l. Let f(u) = 3*u + 17. Let m(h) = h + 6. Let o(z) = 6*f(z) - 17*m(z). Give t(o(x)).\nAnswer: 2*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - h = 22, -2*r + 22 = h + 4*h. Let d = -5 + r. What is the units digit of d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4278698094?\nAnswer: 2, 3, 11, 241, 268999","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 14, 19, 24, 29, 34?\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -43*o**3. Let b(t) = 64*t**3. What is -5*b(c) - 7*k(c)?\nAnswer: -19*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 73 a factor of 2943?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (4\/6)\/((-4)\/(-30)). Suppose -w + f = -2. Let o = w - -23. Is 9 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 0.6, -1, 5 in decreasing order.\nAnswer: 5, 4, 0.6, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*d + 8 = -5*d. Put d, 1, -2 in ascending order.\nAnswer: -2, 1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand v**2 + v - v + (0*v - 8*v + v)*(-3 + 5 + 0)*(11*v - 6 + 6).\nAnswer: -153*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Are 1\/4 and -0.018 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -3 - 71a9?\nAnswer: -7201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -67202 = -1816*o + 19966 for o.\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**22\/g*g\/(g\/(g**(-8\/5)\/g))*g**(9\/2)\/g*g\/(g\/g**24))**(-17) assuming g is positive.\nAnswer: g**(-7803\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 899463?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -4*c, -5*c + 60 + 20 = 4*y. Suppose y*j = 3265 + 1730. Let z = 478 - j. List the prime factors of z.\nAnswer: 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -5*o**3 - o**2 - 4*o - 2. Calculate q(-2).\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 325.\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -6539*a**2 - 8526*a + 8526*a + 2336 + a**3 wrt a?\nAnswer: 3*a**2 - 13078*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -59 (base 13) to base 2\nAnswer: -1001010","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Divide -78788662 by -2.\nAnswer: 39394331","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5491.42 + -5522.420062. Let j = 0.03 + 30.97. Let q = i + j. Round q to 5 dps.\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -6*i**3 + 5*i**2 - 3*i. Let n be r(2). Is (n\/8 + 4)*-4348 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 10 - 11. Let n be 20004\/(j + 3) - (2 - 0). What is n rounded to the nearest one thousand?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 165 + -117. Let m = d + -19. Suppose 97*g - 135*g = -390 - 636. Solve 0 = 5*c - r - r - m, -5*c + r + g = 0 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*q + 25, 6*l - 23 = 5*l + 2*q. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m = 5*c - 25, 0 = 4*m - 2*m + 4*c - 20. Let h = 7837 - 7827. Calculate the lowest common multiple of h and 7 + 4 - (m + 1).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3531, -14133, -31803, -56541, -88347, -127221?\nAnswer: -173163","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -2 + (1 - 1552\/57). Let i = -150\/19 - l. Calculate the common denominator of -1 + (-2)\/((-32)\/(-14)) and i.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pippjjxpppmdpppidd. What is prob of picking 1 d, 1 p, and 2 i?\nAnswer: 3\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5141435 (base 6) to base 2.\nAnswer: -111100001101011111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((-9903)\/(-46214))\/((-708)\/28)\nAnswer: -1\/118","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25*d**2 + 55*d**2 - 15*d**2 - 23*d**2.\nAnswer: -8*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, 2, -2437, 4, 934 in ascending order.\nAnswer: -2437, 0.2, 2, 4, 934","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gbggbggbggbgbgbbbgpg. What is prob of picking 2 g?\nAnswer: 11\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 95830 is divided by 38.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -b**2 - 21*b + 119. Suppose -216*q + 1830 = 89*q. Calculate o(q).\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 795249.1 tonnes in grams?\nAnswer: 795249100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 + 8 + 1 - (531\/99 + (3 - 9)).\nAnswer: 18\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 10*v - 8 + 11 + 17 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 3\/12 + 3 + -4. What is the second smallest value in 4, -0.4, r?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24247267 is divided by 239.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 439 minutes after 4:09 AM?\nAnswer: 11:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 372504?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/7)\/((-112)\/(-98)).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -144*q + 7. What is the units digit of u(-1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-8)\/(-12))\/(5\/(-45))*-1?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) be the third derivative of u**3\/3 - 140*u**2. Let j(v) = -v**2 - 1. Let f(d) = d**2 - 13. Let i be f(-3). What is i*j(n) - 2*o(n)?\nAnswer: 4*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 561 - 1118 + 556 - 107*t + (2 - 1 - 2)*(-6*t + 2*t + 2*t) + 2*t + 4*t - 4*t in the form h + c*t and give c.\nAnswer: -103","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2\/20*174*(-110)\/(-33). Calculate the highest common divisor of l and 522.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = -2*i - 4*y, -3*i = -0*y + y + 16. Let b = i - 19. Suppose -5*l = -3*z + 116, -2*z - 62 = 3*l - 0*l. Is l greater than b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = r**3 + 5*r**2 + 5. Let n be x(-5). Let v be 3\/(-12) - (-2)\/8. Suppose a + 3 = v, 3*o - a = n*o - 7. Solve w + o = -0 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -74091*m - 16 + 16 - 8992*m.\nAnswer: -83083*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(((-19)\/(-228)*-12)\/(-43))?\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -823*r + 818*r - 6 = 2*o, -3*o - 4*r = 16 for o.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n when two letters picked without replacement from nnknlllnn?\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 124240 is divided by 106?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/7? (a) -2\/11 (b) -4\/3 (c) -1\/22 (d) 288\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -15589, -15591, -15593, -15595, -15597, -15599?\nAnswer: -15601","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -1 + (-5)\/(120\/(-44)). Let g = 0.022 - 0.222. What is the third biggest value in g, -0.1, l, 1\/3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 4) in base 12?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.2627 or 5.9?\nAnswer: 0.2627","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -3, -0.6, -0.2, 0.5, 2.321?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 68.64403 kilometers to micrometers.\nAnswer: 68644030000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 37165158?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l + 1 = -5*g + 96, -3*g = 4*l - 74. Let u = -5 - -11. Calculate the remainder when l is divided by u.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -12 + 20. Let o = s - 8.6. Let i = o - 4.4. Sort i, 0.2, -0.3.\nAnswer: i, -0.3, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -1003848, -4015511, -9034942, -16062135, -25097084, -36139783, -49190226?\n\"Answer: m**3 - 1003890*m**2 + 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve n = -2*s + 8, 3*s - 17*n = -18*n + 12 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -98, -30, 76, 214, 378, 562, 760?\nAnswer: 966","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -66*k**2. Let p(o) = 130*o**2. Give p(r(j)).\nAnswer: 566280*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -25.09 - -477.05. Let d = -452 + n. What is the nearest to -2\/7 in d, 0.03, -4?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 + 8 = v. Suppose v = 5*f - 5*l - 440, 0 = -5*f - 47*l + 42*l + 430. Is 17 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1417 and 819.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 139*g + 3*g**2 - 102*g - 76*g.\nAnswer: 3*g**2 - 39*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 130, 0.3, -5, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 88794?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1 + 20?\nAnswer: 1c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32*d + 304064 = -325728. What is the hundreds digit of d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 117 and 13416?\nAnswer: 40248","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 504 is divided by 129.\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 110530940 and 35360?\nAnswer: 4420","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3624323, -3624330, -3624337, -3624344, -3624351?\nAnswer: -3624358","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 577*t**2. Let i(u) = -336*u**2. Calculate i(r(l)).\nAnswer: -111864144*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 162 + -176. Let h(u) = u**3 + 15*u**2 - 6*u + 13. Is h(o) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = a - 0. Let c = a + 7. List the prime factors of c.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 114859.35 + 8421.72?\nAnswer: 123281.07","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-5\/13)\/v*v**(10\/7))\/(v\/(v\/(v**(-29)*v)))**8 assuming v is positive.\nAnswer: v**(20388\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*s - 396 - 711. What is the remainder when s is divided by 34?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -z**2 - 9*z - 1. Let o be d(-9). Let p be (-1)\/(-1) + 1 - o. Suppose 2 - 14 = -4*h. Solve p = j + m, 3*j + h = j + m for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0, 20, -2\/9, 0.3, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.8 + -15.24. Round w to the nearest integer.\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 121936 + -43456. What are the prime factors of h?\nAnswer: 2, 3, 5, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 254019 is divided by 62?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 2*q**3 + 15*q**2 + 125*q + 1059. Calculate h(-8).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -43486 - -120579. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (15 - 16 - -4721) + -10*1.\nAnswer: 2, 3, 5, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 36 * -93\nAnswer: -3348","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) be the third derivative of -l**6\/200 - 9*l**5\/50 - 77*l**4\/40 - 6*l**3 - 2*l**2 - 315*l. Let j(r) = 0. Calculate r.\nAnswer: -12, -5, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 1313693691 and -6606?\nAnswer: 1313700297","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*w**5 - 2*w**5 + 4*w**5 + (2*w**2 + 1 - 1)*(w**3 + 3*w**3 - 6*w**3) + (5*w**4 + 0*w**4 - 3*w**4)*(-w + 0*w - 3*w).\nAnswer: -10*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7124553ml in litres?\nAnswer: 0.0007124553","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1021, -5, 1, -23, -87 in increasing order.\nAnswer: -1021, -87, -23, -5, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -28879872 divided by -257856?\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 4*d**2 - 2*d + 3. Suppose 6 = -3*y - 3*y. Let u(i) = i**2 - i + 1. Let k(j) = y*s(j) + 3*u(j). Let h(v) = -2*v. Calculate k(h(r)).\nAnswer: -4*r**2 + 2*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 21 and 483?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 4b0 + 34?\nAnswer: 524","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3867, 0, 2\/49, 2\/9, -2\/7, 8.\nAnswer: -3867, -2\/7, 0, 2\/49, 2\/9, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -53 + 56. Suppose 6*t + 1 = -j*r + 4*t, -3*t + 3 = 0. Let f be r\/(-2)*3 - 2\/(-4). What is the greatest common factor of 18 and f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 40760?\nAnswer: 2, 5, 1019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 11941 - 3790. What is the units digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9102212616.\nAnswer: 2, 3, 7, 139, 389783","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -89 + 4?\nAnswer: -85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*l**2 - l**2 + 2*l - 265 + 741*l**4 + 887*l**4 + 266 + 358*l**4 as x*l**3 + d*l**2 + c*l**4 + k + i*l and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1289?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange p - 10*p - 2*p + 5*p to the form i + h*p and give h.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1095665 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k**(1\/3)*k)\/k**7)\/(k*k**(4\/5)*k**(1\/4)))\/(k**(-2\/29)\/(k\/(k**8*k)))**(-8\/3) assuming k is positive.\nAnswer: k**(7791\/580)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) be the second derivative of t**5\/20 + t**4\/12 - t**3\/6 - t**2\/2 + 9*t. Let r(o) = 4*o**3 + 6*o**2 - 6*o - 4. Determine 6*q(i) - r(i).\nAnswer: 2*i**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-4)*b\/b**(-4))\/((b*b**(3\/5))\/(b*b**(-5))) assuming b is positive.\nAnswer: b**(-23\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 715561?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-3)\/(-12) - 19\/(-4). Suppose -2*k - f*l = 2*k - 99, 0 = 4*k + 3*l - 101. Is 10 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 130 = -q, -2*p + 5*q = p - 89. What is the tens digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -36482, -73277, -110072, -146867, -183662?\nAnswer: -220457","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 52 - 16 = 0. What is the remainder when g is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 8004 and 75371?\nAnswer: 667","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -28*a + 99*a + 13 - 226. Let y = -5 - -8. Suppose -y*z = -4*q - 67, 5 = q + a. Solve 4*l + l + z = 0 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -m**3 + m**2 - 2. Suppose 0 = -j + 4*j. Determine u(j).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*(l**(7\/4)\/l*l*l*l)\/l*l*l*l**(-2\/31)*l)\/(l*l*l*l**(2\/7))**(4\/31) assuming l is positive.\nAnswer: l**(5435\/868)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 46315573 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 4, c: 2, f: 1, j: 3, m: 1}. What is prob of picking 1 m, 2 w, and 1 c?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ddd when three letters picked without replacement from {e: 2, d: 9}.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sum -18373 and -0.04.\nAnswer: -18373.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -71, -137, -263, -461, -743, -1121?\nAnswer: -1607","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 29\/154 and 64\/317163?\nAnswer: 634326","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -9063 divided by 5119\nAnswer: -9063\/5119","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1450 - 320?\nAnswer: 1130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -2072739 (base 10) in base 4?\nAnswer: -13322002203","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 46578?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 1780*n + 1824 wrt n.\nAnswer: 1780","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -1\/43?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (-108)\/(-27)*(-5)\/(-10)*6\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.163 bigger than 5\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 353774 is divided by 1862?\nAnswer: 1856","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gcqqqcccccfcfq. What is prob of picking 1 g, 1 c, and 1 q?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1173 - -828. Which is greater: i or -344?\nAnswer: -344","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 0 - (-536)\/1044 - 4\/9. Which is the nearest to -0.1? (a) 0.4 (b) -5 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -2*v - 1. Let z = 16 + -11. Let l(b) = 2*b - 7. Let d be l(z). Let i(x) = -x - 1. Suppose -3*s + s = -4*u - 22, 2*s = 6. Give d*g(m) + u*i(m).\nAnswer: -2*m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 267 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 223840940 to the nearest integer?\nAnswer: 607","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 33 and 7683291.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2765981 is divided by 30733.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 41 is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -546, -2596, -4648, -6702?\n\"Answer: -m**2 - 2047*m + 1502","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*p + 47 = 7 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.969, 46\/7, 0.1, 2, -1 in decreasing order.\nAnswer: 46\/7, 2, 0.969, 0.1, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 36 + 0 + -20 + (-1 - (6 + -3))?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -87 - -1135. Is g a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kf when two letters picked without replacement from snfyksg?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -477 + 50 = -61*i for i.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = k**3 + 8*k**2 - 10*k - 12. Let a be t(-9). Let f(i) = -i**3 + 3*i**2 + 5*i + 2. What is the smallest common multiple of f(4) and ((-3 - 0)\/a)\/1?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 283 minutes after 1:52 PM?\nAnswer: 6:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 147*q = 20*q. Let n(a) = a + 46. Determine n(q).\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -26.6 + -6.4. Let w = a + 38. What is the third biggest value in 0.4, 1, w, -2\/5?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 128*w**2 - 18906088*w + 1181630 = 0. What is w?\nAnswer: 1\/16, 590815\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 45\/(-2)*-23*(-108)\/(-3105)?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 15*x**5 - 27*x**5 - 22*x**5 + (2*x**3 + 4*x**3 - 2*x**3)*(-x**2 + 3*x**2 - 4*x**2) - 2*x**5 + 2*x**5 - 2*x**5.\nAnswer: -44*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.045 (b) 0.36 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 1.0880829 minutes?\nAnswer: 0.018134715","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13390 = -49*t + 2*t - 159*t for t.\nAnswer: 65","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = z**2 + 6*z + 10. Let u be q(-4). Solve u*b = 2*l - 4, -2*l + 1 + 7 = 2*b for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-39216)\/34314 - 30\/(-63).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.3 (b) -401 (c) -0.5 (d) -0.08\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = -2*g + 168, -2*g + 1478 = 2*p + 1316. Calculate the greatest common divisor of 12533 and g.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2\/7729 - 316857\/123664. Find the common denominator of p and 97\/2.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -713*n**2 + 4*n + 1023. Let v(u) = -2139*u**2 + 14*u + 3069. Let k(f) = -7*m(f) + 2*v(f). Differentiate k(j) wrt j.\nAnswer: 1426*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -u - 1. Let l be n(-1). Which is smaller: l or -1\/25?\nAnswer: -1\/25","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6 - (9 - -5)) + 12.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (sqrt(99) - (sqrt(99)*2 - sqrt(99))) + -3 + 3)**2 + 4.\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 22321?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 298640*m + 4*q = 298638*m + 24, m + 12 = 2*q for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/13)\/(69\/(-897))*10\/(-1)?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l**(-1\/4))**(-2\/43)\/((l\/(l\/(l*l\/(l**4\/l*l*l)*l*l)*l))\/(l\/((l\/l**(-2\/3)*l)\/l))))**33)**36 assuming l is positive.\nAnswer: l**(68706\/43)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 602 and -0.2.\nAnswer: -120.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uqqq when four letters picked without replacement from {u: 5, v: 3, q: 3}.\nAnswer: 1\/264","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 29\/(1827\/(-108)) + (0 - (9 - 11))\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.44 times 90.51?\nAnswer: 39.8244","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -u + 5. Let w be b(0). Suppose d = -2*j + w, -5*j - 4*d + 13 = 5. Suppose 3*o - 65 = -j*g - 2*o, 5*g - 4*o = 112. Solve 5*t - g = -0*t for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aas when three letters picked without replacement from {a: 17, s: 3}?\nAnswer: 34\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1 + 1. Let z = w - 0. Solve -y + 5 = -4*a - 16, z*a - 4*y + 14 = 0 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -49842, -199588, -449164, -798570, -1247806?\n\"Answer: -49915*o**2 - o + 74","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 5104 and 81664.\nAnswer: 81664","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yyyy when four letters picked without replacement from {y: 6, u: 2}?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -5*r**3 - 2*r**2 - 7*r + 8. Let f(t) = 4*t**3 + 3*t**2 + 8*t - 9. Let c(k) = -5*f(k) - 6*h(k). What is the tens digit of c(3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000053066655 to seven decimal places.\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1 + 0)\/(0 + -1). Let x = 4 + g. Let i = -3 + x. What are the prime factors of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) be the second derivative of 0 - d - 1\/2*d**3 + 0*d**2. Let q(k) = -2*k. Give b(q(a)).\nAnswer: 6*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*i - 5*i - 12. Let t be 2 - i*(-1)\/4. What is the second smallest value in -4, 2, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -28519 (base 11) to base 3\nAnswer: -2001122001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 234831 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 2*r - 3. Let p be w(4). Suppose 0 = 4*s - p - 3. Let d(n) = n + 1. Let v(x) = 3*x - x - x + 1. Give s*d(t) - 3*v(t).\nAnswer: -t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 16 + -10. Suppose 10 = 2*h - q - r, 4*q = 2*h - 28. List the prime factors of h.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1765*w - 955*w = 941*w - 917 for w.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(13) + sqrt(208)\/sqrt(4))*5.\nAnswer: 15*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) be the second derivative of -j**4\/12 - 2*j**3\/3 + j**2\/2 + 20*j + 1. Calculate k(-7).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -3*l + 41. What are the prime factors of f(-9)?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-12 - -23)*(16\/(-2))\/(-2). What is the greatest common divisor of f and 154?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 138368 + -138367.92. Let q = -5 + 2. What is the closest to 1\/3 in -3\/4, 0.2, q, u?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dddf. Give prob of picking 3 d.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 912802 and 295?\nAnswer: 269276590","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) be the second derivative of -s**6\/360 + s**5\/15 + 7*s**4\/12 + 2*s. Let d(b) be the third derivative of q(b). What is d(-6)?\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 225610 rounded to the nearest one thousand?\nAnswer: 226000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 353293 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) be the first derivative of c**3 + 6. Let o(m) = 30*m**2. Let h = 67 - 65. Calculate h*o(s) - 21*x(s).\nAnswer: -3*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 33\/5 of a century?\nAnswer: 66","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -227526406006 and -0.02?\nAnswer: 227526406005.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*y - x - 3 = -12*y, -5*y - 6*x = -15. Solve -w + 36*t - 12 = 41*t, -y = 4*w + 5*t for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2177 + 2146 - 4*m**2 - 6497 + 2174 - 3*m**2.\nAnswer: -7*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1753859145?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -16*y - 19. Give p(-4).\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9)\/6*(-10)\/(-90)*-20.\nAnswer: 10\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve g + 1 = -y, 75*y = 5*g + 76*y - 15 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1251 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: Two letters picked without replacement from bdmbmbjqbb. What is prob of sequence qm?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide (14\/3)\/(4496\/408 + -11)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 10679\/7635 - -2\/1527. What is the third biggest value in -1\/5, r, -5, 0.1?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 3*p = -6, -2*p + 4 = 5*q - 0*p. Suppose -2*l - 69 = -3*g - 7*l, q = 3*g - 2*l - 90. What is the smallest common multiple of 6 and g?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*f*h**2 + 34*f*h*u**2 - f - 56*h**2*u**2 with respect to f.\nAnswer: -2*h**2 + 34*h*u**2 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 10 - -9. Suppose 2*g + 4*g - 30 = 0. Suppose 2*m + 3*n + 108 = g*m, -4*m - n + 124 = 0. Calculate the remainder when m is divided by y.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 70436 and 2?\nAnswer: 70436","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 5, j: 2, q: 7, x: 3}. What is prob of picking 1 j, 1 q, and 1 l?\nAnswer: 7\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -13 - (-37 - (-12 + -12)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 2\/15 of a week?\nAnswer: 1344","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = k**2 - 7*k + 4. Does 11 divide n(9)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -15, -48, -105, -186, -291?\n\"Answer: -12*n**2 + 3*n - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 63 and 6.145?\nAnswer: 387.135","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -0.07, -3, -117334 in decreasing order.\nAnswer: -0.07, -2, -3, -117334","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v - 2 = -151*l + 147*l, -3*v + l - 3 = 0 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -52*q = -49*q - 54. Suppose 10*d = 4*d + q. Solve -3*k + 9 = -d for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.26041 less than -3773043786?\nAnswer: -3773043786.26041","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -14 (b) 16 (c) -3 (d) -5 (e) 3 (f) -0.06\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.011 - 0.068. Let o = 0.07900033 + s. What is o rounded to seven decimal places?\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -v. Let l(n) = -n. Let r(q) = l(q) - 2*p(q). Let c(u) = -2*u**2 + 2*u + 2. Let k be (12\/10)\/(1 - (-63)\/(-45)). Give k*r(g) + c(g).\nAnswer: -2*g**2 - g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-6*sqrt(156)*3 + sqrt(156) + 1*2*sqrt(156))\/(1*((sqrt(768) + (2*sqrt(768) - sqrt(768)) - sqrt(768))*4 - sqrt(768))))**2.\nAnswer: 325\/64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-64*h + 123*h - 115*h)*(3*h + 32*h - 154*h) to the form s + z*h**2 + l*h and give z.\nAnswer: 6664","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 9 and 5571?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1987, 2012, 2041, 2074, 2111?\nAnswer: 2152","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 62*s - 277 wrt s.\nAnswer: 62","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 135680 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 133\/36 and 155\/126.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -2456*i + i**2 + 627*i**3 - 2452*i + 4907*i in the form a*i**3 + q*i + d + s*i**2 and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) be the third derivative of l**5\/4 + l**4\/24 + 5*l**2. Let n = -28 + 27. What are the prime factors of g(n)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 25 = -5*v, -4*p + v - 6*v = 40. Let h = 0 - p. Solve 0*a = 5*y + 5*a - 10, 4*a = h*y + 26 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 231360176?\nAnswer: 2, 83, 2099","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 70992133 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 2) in base 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -5 (b) 0.08 (c) 6 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(27\/2*2\/3*(-64)\/(-48)).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -65, -270, -613, -1094?\n\"Answer: -69*y**2 + 2*y + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine n so that 2*n**3 - 53256*n**2 - 586038*n - 532780 = 0.\nAnswer: -10, -1, 26639","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 610874598 is divided by 595.\nAnswer: 593","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (8\/(-42))\/((-20)\/245). Let p(k) be the second derivative of -n*k**4 + 14\/3*k**3 + 2\/5*k**5 - 21*k - 4*k**2 + 0. Solve p(x) = 0.\nAnswer: 1\/2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -m - 5. Let x(h) = -5*h - 24. Let g(o) = -11*f(o) + 2*x(o). Give g(-5).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -728, -742, -7.\nAnswer: -742, -728, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5*(-4)\/8*528\/440.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.51 and -38627?\nAnswer: -19699.77","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/8)\/((-14)\/126*-3*9)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 25045572?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -28, -1, 635, -843 in increasing order.\nAnswer: -843, -28, -1, 635","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 91348614 divided by -483326?\nAnswer: -189","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 - 145896*d - 5*d**2 + 145896*d.\nAnswer: -5*d**2 + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(1000) + sqrt(1000)*1))\/(sqrt(50)\/(sqrt(10) + -2*sqrt(30)\/sqrt(3))) + -1.\nAnswer: -1 + 40*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -24 - -21. Let f = j + 29. Suppose 5*q = 6*q - f. What is the remainder when q is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -169670 divided by 47\nAnswer: -3610","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -11 + 7 + -4 - (-1 - 4)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + -988?\nAnswer: -990","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 5 = -2*o + 7*o, o + 1 = 0. Suppose 3*w + 3*a = 45, -a + 32 = 3*w - w. Suppose k - 20 = -w. Solve -k = -u + 5*v, 0 = -c*v - 2*v for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (((-2)\/21)\/2)\/((-13)\/(-39))\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1 - -1.4. Let f = -9 + 6. Let v = 13\/34 - 1\/2. Which is the closest to -1? (a) x (b) f (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -431351 (base 7) in base 14?\nAnswer: -1d461","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -3*t**4 + 5 + t**4 + 3*t**4 - 9*t + 3*t. Let w(z) = -5*z + 6. Let s(i) = -5*k(i) + 6*w(i). Differentiate s(y) with respect to y.\nAnswer: -20*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.2, 220, 1\/4, -4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*o**2 - 5*o**2 - o**2 + (1 + 0 - 2)*(-2*o**2 - 2*o**2 + 6*o**2) - 1438*o**2 - 6471*o**2 - 2831*o**2 + 1433*o**2.\nAnswer: -9311*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 157 and 7?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18065315.\nAnswer: 5, 53, 68171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9446330?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*k + k. Suppose k = -0*r - r + 7. Let v = r + -1. Calculate the highest common divisor of 54 and v.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 164 divided by -7\nAnswer: -164\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1501 - -1501. Solve 3*j = 5*i - 2 + 4, g = i + 1 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1958 is divided by 571?\nAnswer: 245","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*u + 3*k - 43 + 21, 5*u - 16 = 2*k. Solve 0*h**3 + 0 + 2\/9*h**5 + 0*h**2 + 0*h - 2\/9*h**u = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2 and 16.\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (-199 - -196) + (0 - (11 - 2))?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 83560, 83558, 83556, 83554, 83552?\n\"Answer: -2*m + 83562","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(-1))**(3\/7))**(-23)*r**(2\/7)\/(r*r**3)*(r\/(r\/(r\/r**(-2))*r))\/(r*r**(-1\/8)*r) assuming r is positive.\nAnswer: r**(351\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 3*((-96)\/(-594))\/8?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 v when two letters picked without replacement from {d: 2, v: 8}.\nAnswer: 16\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*v + 172 = 14*v. Solve 2*a + 3*n - 11 = 0, v*n - 12 = -5*a + 3*a for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 828*x**2 + 765*x**2 - 1611*x**2. Let u(j) = 568*j**2. Determine u(w(z)).\nAnswer: 184032*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -76*b**3 + 4*b - 86*b**3 - 8*b**2 + 128*b**3 wrt b.\nAnswer: -204","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3010 or 4829?\nAnswer: -3010","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 398 minutes after 12:31 AM?\nAnswer: 7:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.06 (b) -2 (c) -0.1 (d) 3\/13 (e) -2\/17\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3788*i - 3597*i + 6829 - 6829.\nAnswer: 191*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 707 divided by 6.\nAnswer: 707\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = u**3 + 17*u**2 + 12*u - 213. Let h be g(-15). Calculate the highest common factor of h and 2071.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 79*o = -4*o - 5*o + 1056 for o.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2\/((103278\/(-9))\/7). Let x = 46622\/81147 - h. Find the common denominator of x and 77\/18.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32415697 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 3*h**2 - 672*h + 4043. What is f(218)?\nAnswer: 119","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0*30\/(-1080)*18.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 48 and 29?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -6*f + 4*f - 4*s, -3*f + s + 8 = 0. Suppose -2*j + j = -3. Suppose 4 = 4*n - j*n. Calculate the remainder when n is divided by f.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*w + 4*w. Suppose w*n = 2*n - 6. Suppose -3*z = -5*z - 3*v + 1, z + n*v = -1. What is the least common multiple of 9 and z?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-24)\/160*-5*9\/162?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 546 minutes before 8:56 PM?\nAnswer: 11:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 6155?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 1 n when two letters picked without replacement from {z: 4, n: 2, r: 2, f: 1}?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-15218)\/(-5) - (-4)\/10. Let z(x) = 123*x + 426. Let o be z(6). Let r = o - s. Round r to the nearest one hundred.\nAnswer: -1900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 237799138 divided by -1.\nAnswer: -237799138","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 1 b when two letters picked without replacement from qqfffsqbss.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 2 j when three letters picked without replacement from jfqdfqffjqdfqfqjfbq.\nAnswer: 7\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.3 and -282.5573724.\nAnswer: -282.2573724","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1024)\/(-640)*(-7)\/84*-30.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = y. Let d(z) = 3*z. Let f(g) = 4*d(g) - 9*n(g). Let s(c) = c**3 - 5*c**2 - 7*c + 8. Let w be s(6). Let u(k) = k**w - 2*k**2 + 2*k**2. What is u(f(j))?\nAnswer: 9*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 less than -321.7?\nAnswer: -321.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -1\/50106 and -73\/39369.\nAnswer: 551166","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-14)\/35)\/(9\/15)*309. Find the common denominator of (-19)\/57 + q\/48 and 112\/(-18) + (-12)\/(-8).\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2219 and 297980.\nAnswer: 2085860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 divided by 611.\nAnswer: 6\/611","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 3 + -1 + (-6 - -1)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 - ((1 - (-2 + 37 + 3)) + -1026 + 1024)?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) be the second derivative of s**6\/360 - s**4\/8 + s**3\/6 - s. Let h(z) be the second derivative of q(z). What is the first derivative of h(n) wrt n?\nAnswer: 2*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1 - (-14 + 1 + 2). Suppose 5*v - 2*g = 654, -v + 2*g = -0*g - 126. Calculate the greatest common divisor of a and v.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -25, 2\/9, 4\/7.\nAnswer: -25, 2\/9, 4\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 75840 is divided by 8288.\nAnswer: 1248","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = y. Let d(n) = -2*n + 1215196. Calculate x(d(h)).\nAnswer: -2*h + 1215196","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 2*x = -28, -4*u - x = 7 - 29. Let g be (-14)\/2 - (-6)\/(-2). What is the lowest common multiple of u and (-8)\/g*(-50)\/(-4)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 1 and -216\/1693 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-120)\/400 - 1\/2)\/(-18).\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 24\/53 - 211\/583. Let k(x) be the first derivative of 0*x - 2\/11*x**3 - 12 + s*x**2. Determine y so that k(y) = 0.\nAnswer: 0, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 258418509 a multiple of 2203?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 0*p = -3*p + 21, -3*o = 4*p - 29. Suppose 108 = 4*l + 5*h, -h + o*h = 3*l - 58. Is 11 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4? (a) 4 (b) 60 (c) 0.6 (d) -2912\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11225\/2, 0.3, -0.3, 35 in decreasing order.\nAnswer: 35, 0.3, -0.3, -11225\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 4315 to the power of 1\/7, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in 1\/7, -6, 7, -1\/4, 4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2399365 is divided by 951?\nAnswer: 943","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -2*i**3 - 11*i**2 + 5*i - 5. Let o be r(-6). Let c(z) = -3 + o + z - 1 + 2. What is c(5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -7 + (0 - -1 - 0). Let d(b) = b - 12 - 3*b + 3. What are the prime factors of d(u)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4459 + -4450. What is the third biggest value in 2, f, 1\/4, -5, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (-4*(6*(sqrt(152) + 4*sqrt(152)))\/(3*(sqrt(8)*-2 + sqrt(8)) + sqrt(8)))**2.\nAnswer: 68398","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) be the first derivative of -2*c**3\/3 - 2*c + 1206. Let f = -2 - 1. What is z(f)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(1\/3)\/k*k**(-5)*k*(k*(k*k\/(k*k**(-3)\/k)*k)\/k)\/k**(1\/6)*((k**(2\/35)*k)\/(k**(-9)\/k))**(2\/21) assuming k is positive.\nAnswer: k**(3263\/1470)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 44 - 37. Is o a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) be the first derivative of -n**6\/72 - n**3 - 5. Let i(d) be the third derivative of y(d). Let k(b) = -b**2. Determine i(k(h)).\nAnswer: -5*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is b in -5*b**3 - 10200365*b**2 - 5202459008680*b - 88438855266640 = 0?\nAnswer: -1020028, -17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 97, 272, 259, -206, -1387, -3548, -6953, -11866?\nAnswer: -18551","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ats when three letters picked without replacement from {h: 1, g: 6, a: 2, y: 1, s: 7, t: 3}.\nAnswer: 7\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 42713 and 1059.\nAnswer: 353","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1865028908.\nAnswer: 2, 466257227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -7 in -4\/5, -3, 55, 3, -1410?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:59 AM and 3:16 AM?\nAnswer: 77","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 - (-9 + 6 - -6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -w**2 - 1. Let b(l) = l**3 - 6*l**2 + 2*l - 8. Let u(d) = b(d) - 3*f(d). Give u(3).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 6*x. Let a(s) = 5*s + 4. Let y(p) = 4*p + 3. Let h(q) = -3*a(q) + 4*y(q). Suppose 0 = 20*m - 18*m - 54. Determine m*h(w) - 4*d(w).\nAnswer: 3*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r = 27 - 67. Solve -4*s + 0 + 11 = 3*z, r = -s - 5*z for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2007093932?\nAnswer: 2, 501773483","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 63 + -55. Let p = q + 27. Does 7 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 5*u + 2 - 347 = 0, 3*p = 4*u + 211. Let x be (3\/(-9))\/(1\/(-9)). Suppose -m - 39 = -x*o, 3*m + p = 4*o + 13. Solve -4*s + 3 = -o for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2324*d - 9397*d + 6685 = -206072 - 48944 for d.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 704 minutes after 6:55 PM?\nAnswer: 6:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y\/(y\/(y**(-3\/7)\/y)))\/y)\/(y\/((y\/(y\/(y*y**(1\/4))))\/y)))\/(y**1\/(y*y\/y**(1\/5))) assuming y is positive.\nAnswer: y**(-333\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 371 minutes before 4:56 PM?\nAnswer: 10:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/(-2))\/((3\/(-2))\/3).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 801941, 3207727, 7217363, 12830849, 20048185, 28869371, 39294407?\nAnswer: 51323293","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 625419383.\nAnswer: 625419383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 3*z**2 + 5*z - 6. Suppose -2*c - 20 = 2*c. Suppose -3 = -u + 12. Calculate the remainder when i(c) is divided by u.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (2\/4)\/(1\/(-12)). Suppose 5*b - 4*b - 3 = -3*v, 0 = 4*b - 5*v - 63. Suppose 4*t - 9*z = -b*z - 17, t - 4 = 2*z. Sort 3, h, 2, t in descending order.\nAnswer: 3, 2, t, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 48*a**2 - 2183*a - 25. Let t be f(47). Calculate the highest common factor of 26 and t.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((18\/15)\/(27\/6))\/(1820\/(-1365)). Suppose 0 = 5*l + 5*a, 5*l - 2*a = -13 - 1. What is the closest to -2 in s, l, 1\/6?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(-33)\/(u**7*u) assuming u is positive.\nAnswer: u**(-41)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5\/((-35)\/(-29)) + -5?\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.06331 - -0.063297546. What is r rounded to six decimal places?\nAnswer: -0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 9 + -13. Let m(x) = x + 1. Let y be m(-4). What is the units digit of (-61)\/v - y\/4?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -c7 (base 15) to base 12\nAnswer: -137","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 68, 42, -78, -304, -648, -1122, -1738?\n\"Answer: -2*m**3 - 35*m**2 + 93*m + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 16919.86 minutes?\nAnswer: 1015191.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0 + -4 + -1 + 2 + 3\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10\/((-1260)\/(-27))*(-3)\/(-18)?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 6*r**2 + 5*r - 5. Let l(t) = -5*t**2 - 4*t + 4. Suppose 15 = -0*s + 5*s. Suppose 2*a + 2 = 2*j - s*j, 5*j - 26 = 2*a. What is a*d(b) - 4*l(b)?\nAnswer: 2*b**2 + b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1173 or -1176?\nAnswer: -1176","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -25916 + 25916.000013837. Round s to 6 dps.\nAnswer: 0.000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 346 is divided by 33.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -11, 20, 95, 232, 449?\n\"Answer: 3*f**3 + 4*f**2 - 2*f - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r = -3*a + 56, 11 - 29 = -a - r. Suppose -26 = -a*x + 16*x. Solve 0 = 4*f - 2*t - 12, 4*t = -2*f - 0*f + x for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1 - -1. Suppose 0*v - 5*v + 75 = y. Let h = -134 + 162. What is the remainder when h is divided by v?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 59, 106, 153?\n\"Answer: 47*h + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 116 divide 90248?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-1*-1*sqrt(637) - sqrt(637))**2 + 3 + ((sqrt(637)*-1 + sqrt(637) - sqrt(637)) + -2)**2 + (sqrt(637)*1 + 2 - sqrt(637)))*-4 + -1)*5.\nAnswer: -12925 - 560*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) be the first derivative of -238*u**2 + 18*u - 9. Let r be l(-7). Round r to the nearest 100.\nAnswer: 3400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*k + 243 = -18*k - 44 for k.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 760*f - 3043. Give c(4).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/3? (a) 43 (b) -974 (c) -0.8 (d) 47 (e) 1 (f) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -38 - 159 = -63*w + 55 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 1307, 2428, 3603, 4832, 6115, 7452, 8843?\n\"Answer: 27*w**2 + 1040*w + 240","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 5100, 5138, 5176, 5214, 5252?\n\"Answer: 38*o + 5062","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000438163329 to 5 decimal places.\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -591*u + 270*u + 290*u - 31 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3 - -123011?\nAnswer: 123002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at most 4\/13895939?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -h**2 + 7*h + 10. Let c be y(9). Let o = 23 + c. What are the prime factors of o?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dddddffddpdpdd. What is prob of sequence pf?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: ((-40)\/(-3))\/5 + 12\/(-4)\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -36*f*i*z**2 - 2*f*z**2 - 9493*f*z + 2659*f - 87036*i*z**2 - i*z + z**2 wrt z.\nAnswer: -72*f*i - 4*f - 174072*i + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000179964982 rounded to six dps?\nAnswer: 0.000018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 62483 - 62497. Let k be (-18)\/(1 - -2)*1. Which is the smallest value? (a) -0.5 (b) k (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -44 or 0.05?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nwnnnnnn. What is prob of picking 1 w and 1 n?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (7 - 4 - 6) + (-112)\/(-1) is divided by 41.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -70398 and -3.\nAnswer: 211194","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:30 AM and 1:32 PM?\nAnswer: 482","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -237.9662218 + 239.051222363. Let z = -1.085 + i. What is z rounded to seven dps?\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(2\/7)\/k)\/k)**10*k**0*k**(-2\/7)*k assuming k is positive.\nAnswer: k**(-115\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.2 (b) 3 (c) -14 (d) -5 (e) -62 (f) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 194146537*a + 208288112 wrt a?\nAnswer: 194146537","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 0.0205616 - 37\nAnswer: -36.9794384","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 6073 - 60829\/10. Find the common denominator of (-2 + (4 - 4))\/(48\/14) and s.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 70*k = 56*k + 462. Let f(x) = 18*x - 228. Is 44 a factor of f(k)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 84*p = 125*p - 182*p + 8319 for p.\nAnswer: 59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express 513 - 14*h - 513 as m*h + t and give m.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:17 AM and 3:53 AM?\nAnswer: 96","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -g**3 + 8*g**2 - 4*g - 8. Suppose 0 = -3*r + 15, -4*r - 26 = -2*x + x. Let p = x + -44. Let d be (-51)\/(-7) + p\/(-7). Calculate j(d).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17.802 < -204\/37?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) be the third derivative of 5*v**9\/504 - 4*v**6\/15 + v**5\/5 + v**4\/12 + 149*v**2 + 2*v. What is the third derivative of f(y) wrt y?\nAnswer: 600*y**3 - 192","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 44673 is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.3 - -0.1. Let n = -0.0351 - 0.0489. Let a = 0.384 + n. Put -3, a, f, -2\/5 in descending order.\nAnswer: f, a, -2\/5, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 4, t: 1, d: 3, z: 1, x: 1, j: 6}. Give prob of sequence zdxj.\nAnswer: 3\/7280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 2068*n**2. Let r(v) = 31*v**2 - 3*v + 2. Determine r(h(y)).\nAnswer: 132575344*y**4 - 6204*y**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d**4 - 122106*d**3 + 18*d**2 + 1098954*d = 0. What is d?\nAnswer: -61053, -3, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -21 - -125\/6. Let j = -203 - -201.604. Let i = j + -0.604. Which is the smallest value? (a) -0.2 (b) 1\/2 (c) h (d) i\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -3, -262, 4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44 + 52 = 4*h. Suppose -19 - 25 = -2*t + 5*y, -2*t + 8 = 4*y. Calculate the highest common factor of t and h.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 12*p**2 - p + 6. Let z(v) = 5*v + 7 + 35*v**2 + 10 - 8*v. Let l(j) = -17*f(j) + 6*z(j). Find the second derivative of l(a) wrt a.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 8\/(-4)*(-1)\/(-6). Sort s, 0.1, -4\/5 in descending order.\nAnswer: 0.1, s, -4\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) be the third derivative of i**5\/6 - 2*i**2. Suppose -4*q + 308 - 304 = 0. List the prime factors of u(q).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 73103 to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1115 is divided by 1094?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 7, -3, -355, 22, -4 in decreasing order.\nAnswer: 22, 7, 2, -3, -4, -355","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (32\/4)\/(1\/16*-4*504\/(-630)).\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -97 - -103. Suppose -y - 2 = -g. Let k(h) = 4 + y*h + 11 - 10. Determine k(-4).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 183049.1 centuries to years.\nAnswer: 18304910","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 33 - 22. Suppose -18 = -3*t - 5*h, 0*t + 3*h - 8 = t. Calculate the highest common divisor of z and t.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45 = -3*s - 0*s. Suppose o = -3*o - f + s, -10 = -5*o - 3*f. Let z(y) = y - 3. List the prime factors of z(o).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -13*l**3 - 5*l**2 - 5*l. Let i(r) = -40*r**3 - 16*r**2 - 16*r. What is 5*i(d) - 16*z(d)?\nAnswer: 8*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (40\/160)\/((-36)\/351*(-3)\/32).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 73 divide 299151?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (-52 - -97) + (-21 - (12 + -22)) + 7?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (19 + -21)*((-462)\/78 - -6)\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 5 - 4. Let f = c + -0.94. Let p = -6116 + 6115.7. Sort f, -1\/4, p in descending order.\nAnswer: f, -1\/4, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(28)*-6 - -2*sqrt(63) - sqrt(175)*2*-4)**2.\nAnswer: 8092","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 806445*n**2 + n. Let k(a) = -4*a**2. What is v(k(s))?\nAnswer: 12903120*s**4 - 4*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3821*c*f**2 + 2*c*f - 46*c + 6*f - 2 wrt f?\nAnswer: -7642*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 3289, 5149, 6995, 8827, 10645, 12449, 14239?\n\"Answer: -7*u**2 + 1881*u + 1415","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((1 - 5) + 3)*-10. Solve v - y = -4*v for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.5 (b) -3 (c) -13 (d) 0.3 (e) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3930 - 3930.2. Which is the second smallest value? (a) -24 (b) -2 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (m**2 + m**2 - m**2)*(-5*m + 5*m + 3*m**2)*(6 - 3 + 1)*(-2 + 3 + 5).\nAnswer: 72*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -51, -5 in ascending order.\nAnswer: -51, -5, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00068 to 4 decimal places.\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 416 minutes after 11:19 PM?\nAnswer: 6:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 193*p - 23948286 = -38*p + 9764547. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -4*(162\/24)\/(-3) - 4. Is 34361\/(5 - r\/((-10)\/(-8))) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 521448356?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + (12 - 13 - -4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*c**3 - 13*c**3 + 7 + 8*c**3)*(1 - 2 - 5).\nAnswer: -18*c**3 - 42","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-5)\/((-40)\/(-268))*28 - -5. Let u = m + 1053. Calculate the greatest common divisor of 36 and u.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(-21\/4)*(w\/(w**(-1\/7)\/w))\/w assuming w is positive.\nAnswer: w**(-115\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r = -2*t - 21, 5*t - r = -3*r. Suppose -t + 0 = -a. Calculate the remainder when 5 is divided by a*(2 - (-2)\/(-4)).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r when two letters picked without replacement from {s: 1, r: 18}.\nAnswer: 17\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 48 = 3*n. Suppose -7*b - b = -n. Factor b*y**4 - 2*y**5 + y**5 - 2*y**3 + 3*y - 3*y.\nAnswer: -y**3*(y - 2)*(y - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -946*d**2 + 44 + 506*d**2 - 23*d + 489*d**2 + 2*d**3. Calculate i(-25).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 46450 rounded to the nearest ten thousand?\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) be the second derivative of -4*i - 1\/6*i**3 + 0 + 3*i**2. What is the units digit of b(5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 2527159?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 925728088?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7179*w + 17*w - 7216*w + 20*w - 20*w**2.\nAnswer: -20*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 3*p**2 - 2*p + 1 - 4*p**2 + 3*p. Let f = 823 - 827. Let b(t) = t**2 - t - 2. Give f*b(c) - 6*m(c).\nAnswer: 2*c**2 - 2*c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 762?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = c - 6. Let q = c - 22. Let l = q + 13. Solve u + 5*k = -3, -3*u - k - k = -l for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uuuquuuuuuuuuuuuuuu. What is prob of picking 1 q and 3 u?\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 292, 1973, 6584, 15589, 30452?\n\"Answer: 244*y**3 + y**2 - 30*y + 77","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10544 + 8504 = 1371*m + 52800 for m.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -18 + 11. Let j = r + 11. Suppose -j*m + 8 + 0 = 0. Solve -z = m*z + 2*p + 4, -2*z + 3*p = -19 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mzmzmmnzmmrzzmnrmmz. What is prob of picking 1 n, 1 r, and 1 m?\nAnswer: 12\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 25465522447 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 88506?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*r - 3*v = 7*r + 12, 5*v + 27 = 4*r. Put 6, 1, -10, r in increasing order.\nAnswer: -10, 1, r, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -108*s - 10 = -106*s + 5*p, 0 = 2*s - p + 10. Let w(q) = -q**2 + 11*q - 18. Let l be w(9). Sort -2, l, s, -4 in increasing order.\nAnswer: s, -4, -2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = t**2 + 2*t - 5. Let d be ((-6)\/4)\/(45\/150). Let k be h(d). Let i be (32\/k - (-6)\/(-2))\/(-1). Which is the closest to 1? (a) -3 (b) -1\/3 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*b + l + 12 - 24, 0 = -3*b - 2*l + 10 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 681906963 to the nearest integer?\nAnswer: 26113","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2.56 in -0.1, -0.7, 0.529?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 264 minutes before 1:40 PM?\nAnswer: 9:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x = -5*g + 10, g = -g - 4*x. Let n be (15\/(-30))\/((-1)\/(-2)). Let q be 6*(-3)\/(-2) + 2\/n. Solve -g*u - q = 5 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2*((-2)\/(-28))\/(54\/126).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -v**4 - v + v - 2*v**4 - 2*v**4 + 3*v**4 + (-5*v**2 + 4*v**2 + 0*v**2)*(-v + v**2 + v) + (v**2 + 0*v**2 + v**2)*(5*v**2 - 8 + 8).\nAnswer: 7*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 56640 times 10.9?\nAnswer: 617376","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q when two letters picked without replacement from oopqoqqqooo?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 2*x**2 - 12*x + 24. Let r be h(7). Let m be r*(84\/24 - (-3)\/(-1)). Solve -o + 5*z - m = 0, 5*o + 3*z = 4*z - 23 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eecedheedcudc. What is prob of sequence he?\nAnswer: 5\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:46 PM and 2:58 AM?\nAnswer: 252","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*i - 19 + 3 - 3.\nAnswer: 3*i - 19","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -55*r + 108*r - 636 for r.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 45815 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k = -v + 5*v - 25, -2*k + 10 = 4*v for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find p such that 4*p**2\/3 + 2972*p\/3 - 79976\/3 = 0.\nAnswer: -769, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 10183 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -113713985.000167 + 113714117. Let r = -132 + w. What is r rounded to five decimal places?\nAnswer: -0.00017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -w - 2*w**2 + 2*w**2 - 25652*w**3 + 25572*w**3.\nAnswer: -80*w**3 - w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*f**3 + f**4 + 168*f**2 - 168*f**2 + (2*f - 4 + 4)*(-1 + 2*f**3 + 1).\nAnswer: 5*f**4 - 2*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = z. Let f be -2 + 1\/(2\/(-6)). Let c = f - -7. What is k(c)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 157794218?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-10)\/20*(-2 - -426)\/(-2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 4*m**2 - m - 1. Let y be u(-1). Suppose 0 = y*x - 711 + 147. Suppose -x = -8*w + 5*w. What are the prime factors of w?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*c**2 - 2*c**2 - 2*c**2 + (0*c + c + 0*c)*(48 - 48 + 8*c) + 2*c**2 - 2*c**2 - 2*c**2.\nAnswer: 5*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b - 2*j = -34, -b + 4*j - 2 = 2*b. What are the prime factors of 4\/b*9*3?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 251494645 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 71696.49l in millilitres?\nAnswer: 71696490","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 1 z when two letters picked without replacement from snsz?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 395.2 + -395. What is the nearest to t in 4, -5, -4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-43)\/(-516))\/((-1)\/(-4))*(-18)\/57?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*g + 16081 = -23539. Let o = g + 3380. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 b when three letters picked without replacement from {b: 6, c: 7, g: 3, z: 1}.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -3.7, 20.8, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 24*v + 22. What is the hundreds digit of j(9)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -11209, 0, 1 in decreasing order.\nAnswer: 1, 0, -1, -11209","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12 - (33 + 0 + -57)) + 1 + 12?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 94 divide 8526?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = 5 - 0, 5*o - 50 = 5*a. Suppose 5*g + 4*w = 8, 2*w - o*w = 3*g - 3. Solve 0 = t, m - 3*m + 4*t + g = 0 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 46957 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of ((-356)\/32 + -5)\/(702\/(-24)) and -47\/42?\nAnswer: 546","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dxxlxxxxxxxcxnlyxxxy. Give prob of picking 1 y, 1 n, and 2 x.\nAnswer: 52\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -72 (base 8) in base 3?\nAnswer: -2011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 70, -49, -168, -287, -406, -525?\n\"Answer: -119*h + 189","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 16094 divided by -1238?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 69288937 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 3*c**3 - 17*c**2 - 7*c + 4. Let a(z) = -2*z**3 + 8*z**2 + 3*z - 2. Calculate 7*a(f) + 3*r(f).\nAnswer: -5*f**3 + 5*f**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-3)\/v*(v\/(v**(-1\/4)\/v))\/v)**(5\/7)\/((v*v**7*v\/(v*v**(2\/9)\/v))\/((v*v**(1\/4))\/v*v**(-7))) assuming v is positive.\nAnswer: v**(-1102\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -85*y - 32 = -117*y. Put 926, y, -5 in ascending order.\nAnswer: -5, y, 926","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -z**3 - 36*z**2 + 2*z - 56. Let r(y) = -y**3 + y - 1. Let f(c) = -d(c) + 2*r(c). Differentiate f(g) with respect to g.\nAnswer: -3*g**2 + 72*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 251 is divided by 32?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 144 - -245. Let u = 58 + v. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.49 + 3.59. Let u = d + -3.100093. Round u to 5 decimal places.\nAnswer: -0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2.8 + 0.2. Let u = i - -20. Let l = -22.933 + u. Round l to 2 dps.\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 67\/4 of a litre in millilitres?\nAnswer: 16750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (4\/(-6))\/(2\/(-3)). Is 1\/2 at least o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1072*m + 1261*m - 3302*m + 1196*m - 1.\nAnswer: 227*m - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*q**2 + 145 - 3*q**2 - 115 + 26*q**2 wrt q?\nAnswer: 50*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 235740?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2693.694 years to decades.\nAnswer: 269.3694","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 5*o**3 + 32*o**2 + 69*o + 26. Let y(j) = j**3 + 6*j**2 + 14*j + 5. What is 2*t(r) - 11*y(r)?\nAnswer: -r**3 - 2*r**2 - 16*r - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 2322111 to the power of 1\/2, to the nearest integer?\nAnswer: 1524","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 332, 315, 294, 275, 264?\nAnswer: 267","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 753428.571211 - 753767.571. Let s = -339 - h. Round s to four dps.\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (190 - 190 + 6*q)*(0*q - 4*q + 2*q).\nAnswer: -12*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 2*b - 1. Let h be s(-1). Let u be (-44)\/(-14) - h\/(-21). Let g(f) = -4*f**2 + u*f**2 + 5*f**2. Let p(n) = -n. Calculate p(g(x)).\nAnswer: -4*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (38 + -28)\/((-2)\/4). Let i be (u\/8)\/(1\/(-2)). Solve 3*y = 2*k + 17, 4*k = i - 21 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1189 - -1203. Which is the third smallest value? (a) 1\/3 (b) 4\/5 (c) -4 (d) h (e) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u - 3*u = -26 - 10 for u.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 120 a multiple of 40?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 3561, 3545, 3521, 3489, 3449, 3401, 3345?\n\"Answer: -4*g**2 - 4*g + 3569","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 451 - 251. What is the tens digit of t?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 10 in 0.96, 26, -10, -6\/11?\nAnswer: 0.96","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange u - 297 - u**3 + 5*u**3 + 3*u + 293 + 2*u**4 to j*u**2 + x*u**3 + l + w*u**4 + g*u and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -54*q**3 - 3*q**2 + 29*q + 58. Does 10 divide g(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2\/5 (b) -355 (c) 17 (d) -0.4 (e) -3 (f) 1\/9\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1330 and 2050?\nAnswer: 272650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -n**3 + 6*n**2 - n + 3. Is c(4) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/(d**(-13)\/d*d))\/((d**(-9\/2)\/d*d*d)\/d*d) assuming d is positive.\nAnswer: d**(35\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w**(-35))**1*(w\/((w*w\/w**(-17\/4))\/w)*w)\/w**(8\/3) assuming w is positive.\nAnswer: w**(-479\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 0.1276, -64, -2, 0.5, 0.3?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -635, -1099, -1411, -1193, -67?\n\"Answer: 63*f**3 - 302*f**2 + f - 397","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 6*g - 5*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 215*y - 106*y - 192 = 121*y for y.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s and 1 e when three letters picked without replacement from {e: 5, r: 10, s: 4}?\nAnswer: 10\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*j**3 + 1722*j**2 - 119712*j - 40470912 = 0. What is j?\nAnswer: -114, 344","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 5\/8 of a meter?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 36?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (0 - (-4)\/3)*(3 + 0). Suppose i*c = c + 45. Solve 2*t + c = 3*t + 4*d, 3*d = 4*t + 16 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 16\/(-8) - (241575\/(-10) - 3). Let x = -966229\/40 + k. What is the common denominator of -43\/100 and x?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.049993 to 3 dps.\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -27102 - -3083. Let y = 16739 + l. Is y\/(-34) - (-4)\/(-34) a multiple of 33?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) be the third derivative of 3*u**4\/8 - u**3\/3 + 2536*u**2. Let n(v) = 33*v**2 - 2*v. Give n(g(d)).\nAnswer: 2673*d**2 - 1206*d + 136","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j - 33 = 11*j. Let o(x) be the third derivative of -x**5\/60 + 5*x**3 - 24*x**2. Let t(d) be the first derivative of o(d). Determine t(j).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -405 = 392*y + 288 + 2443 for y.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9*(13 + (-400)\/30).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1594 and 4?\nAnswer: 3188","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 28069 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 997?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 521 to the power of 1\/2, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5318563635 rounded to 1 dp?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 2*n - 4. Let h be d(3). Let w be ((-6)\/8)\/(h\/(-192)). Let l be (-3 - -23) + -1 + -1. What is the highest common divisor of w and l?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 107*b**2 - 2146 + 2144 + 72*b**2 + 80*b**2 as w*b + h + m*b**2 and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 27077 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 2*a - 2 + 6*a**2 + a**3 + 0*a**2 - 2. Let u(f) = -5*f + 26. Let d be u(6). Does 5 divide n(d)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 816*((-21)\/(-9) + 65\/39) a multiple of 98?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 341 and 44.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-7)\/56*-1 - 4\/544. Let h = -0.18 - 0.12. What is the closest to 2\/3 in 2, v, h?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/(f\/(f\/(f\/f**4)))*f**(-3\/14))\/(f\/(f**8*f)*(f**4\/f)\/f) assuming f is positive.\nAnswer: f**(137\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -1 + 0\/2 - -3. Let g = 0 - d. Which is bigger: -2\/5 or g?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -75 + -1aa?\nAnswer: -263","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 7\/8 and ((-435)\/(-10))\/(0 - (-3 + 0)).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 195328 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-209)\/(-55) - 5)\/((-171)\/(-420)). Which is smaller: -4 or j?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3a9 (base 15) to base 10\nAnswer: -834","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40 = -4*j + 52. Suppose -3*o + 69 = -75. Suppose -o = -11*t + 5*t. Calculate the remainder when j is divided by t.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k - 5*k = 19040. Let j be (3 - 1) + 5426\/k. Let f = j - 1\/272. What is the smallest value in -3, f, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1293755 centimeters in kilometers?\nAnswer: 0.000001293755","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5*s**4 + 2*s**4 - 5*s**4 + 22*s**4 + 179*s + 58*s wrt s?\nAnswer: 288*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (16*399\/1680)\/((-2)\/(-10))\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -14 + (1 + 4 - -5)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-10)\/(-2)*36\/(-15). Let o = s - -18. Suppose -o*z + z = -10. Solve z*f = 6*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -18*r**2 + 13 + 34*r**2 - 2*r - 15*r**2. Let p be h(-5). Let i be -1 + p\/9 + -4. What is the second smallest value in i, 6, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -495 and -10.\nAnswer: -505","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 976764*h*u**4 + 132588*h*u - 2*u**4 + 3*u**2 wrt u?\nAnswer: 23442336*h*u - 48*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*j + 6 - 6)*(443*j**2 - 220*j**2 - 229*j**2 - 59*j).\nAnswer: 24*j**3 + 236*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 268394809.\nAnswer: 53, 5064053","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 l when three letters picked without replacement from {l: 12, g: 4, o: 4}.\nAnswer: 11\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -18*o + 12*o + 6834. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -4 + 5aca12?\nAnswer: 5aca0e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-16)\/((-1600)\/(-25))*(8\/(-32))\/((-3)\/(-6)).\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 106?\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of ((-453)\/(-2))\/((-30)\/(-40)) and 2.\nAnswer: 302","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 324373 and 2086.\nAnswer: 1043","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -473 less than or equal to -421?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = f**2 + 7*f + 3. Let r be w(-7). Suppose -r*y = -0*y - 18. Determine q, given that 2*q**2 - y*q**2 + 4*q - 10*q**2 = 0.\nAnswer: 0, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*n**2 - 14*n**2 - 38*n + 35*n.\nAnswer: -28*n**2 - 3*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gaap when four letters picked without replacement from {g: 4, i: 5, p: 8, a: 2}?\nAnswer: 2\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 487 + -120. Is 11 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -11676136*c**3*s + 2*c**3 + 476131*c**2 - 3*c + 2 wrt s.\nAnswer: -11676136*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11 (base 5) to base 14.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 6.3 - 6. Suppose s - 4*g + 20 = 0, -5*g + 2*g + 15 = 2*s. Let y = -0.022 - -4.022. Which is the closest to 0.1? (a) s (b) y (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-3)\/2*((-21)\/7 + 1). Solve g - c*g - 18 = 5*l, 2*g - l - 6 = 0 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1220 + -4?\nAnswer: -1224","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -4*k. Let w(u) = 2*u - 16. Let l(h) = h - 14. Let o(q) = -6*l(q) + 5*w(q). Calculate x(o(f)).\nAnswer: -16*f - 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 21*f**3 - 818*f**2 - 103*f + 2496. What is t(39)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 plus 2.62631543026958?\nAnswer: 2.62631543026958","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 6*m*w**2 + 2*m*w - 2*m - 186*w**5 - 47*w**3 - w**2 - 3687*w - 261 wrt w?\nAnswer: 12*m - 3720*w**3 - 282*w - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) be the first derivative of -2*i**5\/25 - i**4\/10 + 2*i**3\/15 + i**2\/5 + 3. Solve c(s) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1.2 + -1. Let s be (8\/(-10))\/(10\/(-25)). Let q be (-1 + s)\/(1\/(-5)). Sort 3, q, a in ascending order.\nAnswer: q, a, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 x when four letters picked without replacement from xxxxx?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*j - 2*j + 6*j)*(-17*j + 9*j + 28*j) as g*j + m*j**2 + f and give m.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -q**2 - 4*q + 20. Let n be f(15). Let x = -421 - n. Do x and -157 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -91 - -91.1. Which is the nearest to -1\/5? (a) h (b) -1 (c) 0.3 (d) 13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (45\/10 - 4) + (-2)\/4. Let t be (0\/(-2))\/(1 + -2). Suppose -2*l + v + 12 = t, -5*l + 3*l = v - 12. Solve 0 = -2*x + 3*q + l, m*x + 3*q - 6 = -2*x for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -c**2 + 7*c - 14. What is z(3)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 31, -1, -19, 0 in increasing order.\nAnswer: -19, -1, 0, 1, 31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1722 a factor of 22336062?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -35034\/5471 or -6?\nAnswer: -35034\/5471","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 658272 and 480.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 68316 (base 9) to base 14\nAnswer: 127cc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-280 + 280 + 46*g)*(g**2 + 2*g**2 + 19*g - 17*g)*(1 - 2*g - 1).\nAnswer: -276*g**4 - 184*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/4*(-88)\/924)\/1.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 176*b + 4. Let r be m(2). Suppose -4*d + k = -276, -5*d + 4*k = -0*k - r. What is the units digit of d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -80.89 - -107468121.\nAnswer: 107468040.11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 375 is divided by 65?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 6127987 > -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = -0*x - 3*w - 3, x = 5*w + 5. Suppose 2*o - 5*o - r - 7 = 0, 4*r + 4 = x. Let p = o - 0. Let c(d) = -2*d**2 + d - 1. Give c(p).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -13*m**2 - 1860*m**4 - 344*m**4 + 22*m - 5760*m**4 - 2 + 2*m + 4*m**2 wrt m?\nAnswer: -191136*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 2*s + 4*a, s = -3*s + 5*a + 34. Calculate the remainder when (-5)\/(-20) - 166\/(-8) is divided by s.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 2 + 239258?\nAnswer: 239260","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4772305 + 4772305 + 4061*t to the form a*t + m and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(0 + sqrt(5) + sqrt(5)))**2 - ((sqrt(605) + sqrt(605) + sqrt(605) + 0)**2 - sqrt(5)).\nAnswer: -4725 + sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*h + 5 + 10. Suppose 0 = -2*y - 4*w - 20, 12 + 3 = 2*y - h*w. Let o be (-7 - 2)\/(-1 - y). Round o to zero decimal places.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 115938 a multiple of 113?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4161 + -4020. What is the remainder when 843 is divided by l?\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 675\/(-12)*(-425)\/34425*(-12)\/(-2).\nAnswer: 25\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 2448, 3561, 4674, 5787?\n\"Answer: 1113*h + 1335","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 58 divide 17425803?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Product of -52 and -2.\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (46\/(-161))\/(1\/(-14)). Let d(m) = -2*m**2 + 3*m + 1. Determine d(j).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1311?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -8 - -8.01. Let r = -0.01 + l. Which is the nearest to -1\/4? (a) -1 (b) 4 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 2*s**3 + 2*s**2 + s + 1. Suppose 14 = -n - 28. Let q be n\/(-15) + (-1)\/(-5). Suppose -12 = g - 5*g, -q*g = -5*h - 19. What is k(h)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = a - 1. Let k(c) = -4*c + 5. Suppose 213*j - 327*j - 228 = 0. What is j*k(z) - 6*r(z)?\nAnswer: 2*z - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 minutes before 4:13 AM?\nAnswer: 4:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -5 + 717621?\nAnswer: 717617","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) be the first derivative of 8*y**3\/3 - 3*y - 7. Differentiate x(g) with respect to g.\nAnswer: 16*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -155028.33 to the nearest 10000.\nAnswer: -160000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 36444?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 588587923?\nAnswer: 7, 11, 17, 41, 997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 81 - 81 - 2*y + 10*y**2 - 2*y**2 - 2*y + 2*y + (-1 + 4 - 2)*(-2*y**2 - 2*y + 2*y) - y**2 + 3*y**2 - 4*y**2 to the form h + b*y**2 + q*y and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-152)\/(-3)*27\/12. Let p = f + -67. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -157 + 157. Solve -3*q - q - 3*z + 5 = j, 4*q - 2*z = 30 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 159104008?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -4*s**2 - 5*s. Suppose -5*g + 41 - 6 = 0. Suppose -11 = -2*w - g. Let x(v) = -v**2 - v. Give w*x(a) - d(a).\nAnswer: 2*a**2 + 3*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 51*p - 96 = 47*p. Let w be ((-1)\/(18\/p))\/(1\/(-3)). Solve 4*v + 3*u = -16 + 35, 5*u + 11 = w*v for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 12329?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - 6 = 0, -4*x - 2*j + 11 = -7. Let v(f) = -2*f**2 + 4*f - 2. Let g be v(x). What is the units digit of g\/(-3)*-8*(-3)\/10?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -116 - -153. Calculate the remainder when k is divided by 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1776462903 to the nearest integer?\nAnswer: 42148","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6187201 is divided by 515.\nAnswer: 506","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 34670, 138659, 311954, 554549, 866438, 1247615, 1698074?\nAnswer: 2217809","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 5, o: 5, e: 1, h: 4, q: 3}. Give prob of picking 1 h and 3 o.\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -17, -102, -25 in descending order.\nAnswer: -17, -25, -102","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 4*x**3*z**2 + 16*x**3*z + 3*x**3 + 338*x wrt z?\nAnswer: 8*x**3*z + 16*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1956.\nAnswer: 2, 3, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:30 AM and 3:51 AM?\nAnswer: 141","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9 - -4 - (44 + -45)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000004341185 to six dps.\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*sqrt(33)*1)\/(-5*(sqrt(27) - sqrt(3))).\nAnswer: -sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 t when two letters picked without replacement from {m: 1, t: 1, z: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/((p*p*p**3)\/p*p))\/((p\/(p**(2\/35)*p))\/p))**(18\/11)\/(p**5\/p**(-2\/3))**(-3\/26) assuming p is positive.\nAnswer: p**(-41659\/10010)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:08 PM and 9:35 PM?\nAnswer: 507","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 23? (a) -2\/3 (b) -2 (c) -1 (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 2, e: 1, i: 1}. What is prob of sequence ce?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -1863 divided by -5\nAnswer: 1863\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) be the first derivative of -19*d**2\/2 + 9*d - 67. What is the units digit of o(-3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*l**3 - 29*l**3 + 27*l**3.\nAnswer: 9*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 92*q - 257*q + 86*q - q**2 + 79*q + 0*q**2.\nAnswer: -q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 5*x + 11. Let u be d(-2). Let g = 0.45 - 0.05. Which is the closest to 2\/3? (a) g (b) u (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/u**(-2\/5)*u)**46\/(u**4*u*(u*u**3)\/u) assuming u is positive.\nAnswer: u**(512\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-3)\/(-4) - (-87)\/12. Suppose -w*y = -9*y + 579. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 44*z**2 - 47*z**2 - 2*z + 3*z to the form w*z + j*z**2 + t and give j.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) be the first derivative of -4 - 3\/13*r**2 + 0*r + 2\/39*r**3. Factor t(s).\nAnswer: 2*s*(s - 3)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 355973220?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13656332.\nAnswer: 2, 29, 117727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + 1 + (1*sqrt(13))**2 - -2*(sqrt(65)\/sqrt(5) + -3).\nAnswer: 2*sqrt(13) + 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yyy when three letters picked without replacement from nytttttynyntttyttt.\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 884557 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 72 - -65?\nAnswer: 147","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-16)\/10)\/((-1)\/5). Suppose 2*s - 8 = -5*g - 0, g - 2*s + x = 0. Suppose -w - 4*r + 18 = 0, -3*r = w - 16 - 1. Solve -4*f - w + 6 = g for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 0 - 630323?\nAnswer: -630323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 544 = 164. Suppose 2*j + t = 7*j. Let y = -15 + j. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.38*-270.4\nAnswer: -102.752","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 373259 and 55071?\nAnswer: 3359331","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 123 minutes before 10:21 PM?\nAnswer: 8:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3835 and 15748870?\nAnswer: 295","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 3497 = -2*a + 5777, -11*v = 5*a - 25505. List the prime factors of v.\nAnswer: 2, 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 404*b - 767*b - 189*b - 32*b - 1224*b to a + c*b and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5.7, -20354, 0.5 in decreasing order.\nAnswer: 5.7, 0.5, -20354","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:22 PM and 7:17 PM?\nAnswer: 115","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 525 minutes after 5:51 PM?\nAnswer: 2:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (293 + 60 - 67)*(3*j + 0*j + j)*(0 + 2 + 2).\nAnswer: 4576*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 3, i: 1, s: 1, b: 1, y: 5, o: 3}. Give prob of sequence hiho.\nAnswer: 3\/4004","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1 - 0 - 19\/17. Let g = 65 + -70. Put g, -4, h in ascending order.\nAnswer: g, -4, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 take away 6600050350?\nAnswer: -6600050349","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -953*p - 2581*p - 28162 = -240202 for p.\nAnswer: 60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2975255 rounded to 3 decimal places?\nAnswer: 0.298","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 230760 and 35649?\nAnswer: 914040360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 463?\nAnswer: 463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -25280*s**4 + 3*s**3 + 3*s + 13214?\nAnswer: -303360*s**2 + 18*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 8*g**2*v**3 - 26*g**2*v + 6891*g**2 wrt v?\nAnswer: 24*g**2*v**2 - 26*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 132 - 135 - (2 + -16)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) be the third derivative of -3*m**2 + 1\/20*m**5 + 0*m**4 - 1\/40*m**6 + 0*m**3 + 0 - 1\/70*m**7 + 1\/112*m**8 + 0*m. Factor d(q).\nAnswer: 3*q**2*(q - 1)**2*(q + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -8317*o**2 + 13003 wrt o.\nAnswer: -16634*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by -41524\nAnswer: -5\/41524","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 376405 a multiple of 52?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 8324 * 2244\nAnswer: 18679056","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 8*t**2 + 7*t + 2. Let l(j) = -4*j - 3 - 9*j - 12*j**2 + 3*j. Let q(s) = -5*l(s) - 8*u(s). Let r(n) = 11*n**2 + 17*n + 3. What is 17*q(c) + 6*r(c)?\nAnswer: -2*c**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -46094948*f**2 - 19228198*f?\nAnswer: -92189896","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*h**3\/5 + 25744*h**2\/5 - 5790494*h\/5.\nAnswer: -2*h*(h - 12643)*(h - 229)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1276120 to the power of 1\/2, to the nearest integer?\nAnswer: 1130","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -116280 divided by 9690.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 20 and 96?\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*z**2 + 6*z**2 + 4*z**2)*(5*z**3 + 8 - 3*z**2 - 3*z**3 - 11).\nAnswer: 28*z**5 - 42*z**4 - 42*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 388148 divided by -97037\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 147755?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put together 2159.6 and -2213.\nAnswer: -53.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -620323321*n**4 + 2787782*n + 20.\nAnswer: -7443879852*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 1, e: 1, u: 2, p: 2, b: 1}. Give prob of sequence uue.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(57)\/(sqrt(3) + (sqrt(3) + sqrt(24)\/sqrt(8) - sqrt(3))) - (-1*sqrt(152))\/sqrt(8).\nAnswer: 3*sqrt(19)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xx when two letters picked without replacement from xutpuuuppptpxpuuup.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = 2, 2*l + 2*l = -2*o - 2. Let n(g) = -g + 5. Let z be n(5). Suppose 5*c - 20 = x, c - 6*x + 2*x - 23 = z. Solve l = -c*j + 6 - 0 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -174*l + 81 - 274 + 19 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 - (-165 + -1) - 4\/1 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 346 (base 10) to base 4\nAnswer: 11122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 196044810.\nAnswer: 2, 3, 5, 13, 151, 3329","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(243) - (sqrt(243) + 1) - sqrt(243) - sqrt(21)\/(sqrt(21)\/sqrt(3) + sqrt(7)).\nAnswer: -19*sqrt(3)\/2 - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5 - (2 + 0)) + (-2 - -2).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in fifty-one halves of a gram?\nAnswer: 25500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 0 + 232331?\nAnswer: 232331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 68091?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1292 is divided by 54?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ddzxdddzzdxxddzxx. Give prob of picking 2 x and 2 z.\nAnswer: 3\/119","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 + 1 + 1)*(-j + 3 - 3)*(-52 + 80 - 43) to the form y*j + c and give y.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 335884397 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 96, 106, 106, 96, 76, 46, 6?\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 4\/7 (b) 7 (c) 3 (d) 1\/7 (e) 45\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -938764 by 469382.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 47\/(-4) - 13*1\/52. Is 18 a factor of (-22452)\/(-48) + (-3)\/o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 524 = 3*m, -2*m + 3 = f - 133. What is the highest common factor of f and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -29009, -57993, -86947, -115865, -144741, -173569, -202343?\nAnswer: -231057","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 1736 = -4*i, -4*i - 598 = 2*j - 2334. What is the greatest common factor of 62 and i?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 61 times -2?\nAnswer: -122","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 16) to base 7.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 5\/49?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-28)\/(-35)*(-55)\/33*-8*120\/(-4736)?\nAnswer: -10\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -181 divided by 2\nAnswer: -181\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 96 and 4812?\nAnswer: 38496","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 25 - 12. Calculate the remainder when 17 is divided by i.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 18 - 11. Let p = x - -16. Solve -4*o + p - 3 = 0 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6051 (base 14) to base 5\nAnswer: 1012120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2855234?\nAnswer: 2, 1427617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = p**2 + 4. Let x be 2\/((-7)\/3 - -3). Let j(y) = 2*y**2 + 5. Calculate x*j(g) - 4*n(g).\nAnswer: 2*g**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13032 - 2930 = 480*l + 1318 for l.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5 - -13. Let p = h + -25. Let f = p + 20. What are the prime factors of f?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -381724 divided by 7.\nAnswer: -54532","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -12001252728 divided by -4\nAnswer: 3000313182","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.1373112 and -348?\nAnswer: 347.8626888","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2184580 is divided by 114976.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 4311.428 hours in microseconds?\nAnswer: 15521140800000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 0*o - 3 = 0. Solve -3*s - o = -18 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -97.86, -2\/9, 5, 12, -2, -3?\nAnswer: -97.86","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 86*-0.09\nAnswer: -7.74","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 13*f - 19. Suppose -x + 87 = 3*g, -3*g + 4*g - 29 = -x. Calculate the remainder when w(8) is divided by g.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1110?\nAnswer: 2, 3, 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*-1*-2*sqrt(50))\/(-3*(sqrt(810) + sqrt(810) + (sqrt(810) - sqrt(810)*-1) - sqrt(810))).\nAnswer: -8*sqrt(5)\/81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -295*t + 3. Determine d(0).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -608 divided by -59\nAnswer: 608\/59","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 22 - 0. Let f = 76 + -158. What is the remainder when f\/(4 + -2 - 4) is divided by d?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange x**3 + 2319*x**2 - 3*x**3 - 37*x**4 + 3 - 1 - 2309*x**2 to the form q*x**3 + r + j*x**4 + w*x + t*x**2 and give j.\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -27839530 rounded to the nearest 10000?\nAnswer: -27840000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = d**3 + d**2 - 21*d + 34. Let b be p(7). What is the greatest common factor of 18 and b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s + 5*w + 203 = 206, -3*s + 3*w - 27 = 0 for s.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -10 - -10.9. Let h = -49 + 48.1. Let n = s + h. What is the second biggest value in -3, -1, n?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 11184 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.12 - 0.12. Let a(b) = b + 10. Let p be a(-9). Which is greater: p or d?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 0.12, 0.3, 3\/5, 0.2?\nAnswer: 0.12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 3*d**2. Let p(o) = 17*o**2 - 2*o + 2. Let s(y) = -y**2 - y + 1. Let j be 6*(2 - -4)\/18. Let f(q) = j*s(q) - p(q). Give f(c(r)).\nAnswer: -171*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(-3)\/(q*q\/(q*(q**(-27)\/q)\/q)*q) assuming q is positive.\nAnswer: q**(-34)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 40 + -40. Let k be 4 + 11125\/10 - o. Let m = k + -1095. Calculate the common denominator of 87\/4 and m.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 5, m: 10, l: 2, p: 2, j: 1}. Give prob of picking 2 l, 1 p, and 1 j.\nAnswer: 2\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2.477 + -2.52. What is x rounded to 2 dps?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 16 = -5*p, 4*p = 2*j - 18 + 22. Solve 4*t = j*t - t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 48433 to the nearest integer?\nAnswer: 220","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 3*c**2 + c - 1. Let h be l(1). Find the second derivative of -3*g**3 + g**3 + h*g - 2*g wrt g.\nAnswer: -12*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 826873634.\nAnswer: 2, 413436817","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.07 in -1, -1\/2, -2\/449, -0.1?\nAnswer: -2\/449","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(-2)*(-5 - 204\/(-44))?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = s - 62 - 14. What is the remainder when s is divided by 27?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -2*q + 4*q + 14 + 0 + 1. Let c be z(0). Is 365\/3 + (-10)\/c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -16113*j**3*m**2 + j**3*m + 9*j**2*m + 72*j*m - 1092*j + 746*m**3 + 1 wrt m?\nAnswer: -32226*j**3 + 4476*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 3*p + p - 9 + p + 4*p. Let l(t) = t - 1. Determine 2*a(y) - 21*l(y).\nAnswer: -3*y + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 5215\/894*(-5)\/(-70)\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gkkfk. What is prob of picking 2 k and 1 g?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -37\/117830986 and 59\/84164990?\nAnswer: 589154930","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -6853 - -12698. List the prime factors of g.\nAnswer: 5, 7, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) be the third derivative of a**8\/588 + 47*a**7\/1470 + 29*a**6\/840 - 47*a**5\/420 - 11*a**4\/56 - a**2 - 700*a. What is k in s(k) = 0?\nAnswer: -11, -1, -3\/4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) be the first derivative of -1\/18*c**6 + 1\/2*c**2 + 1\/5*c**5 - 1\/6*c**4 - 1\/3*c - 2\/9*c**3 + 9. Factor r(x).\nAnswer: -(x - 1)**4*(x + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1811 + 1811.2. Let y = 0 + -1. What is the fourth smallest value in -2\/17, o, y, -0.01?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*q**3\/3 - 1750*q**2 + 1752*q + 10504\/3 = 0. Calculate q.\nAnswer: -2626, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express -166*t**2 - 25*t**2 + 163*t - 42*t**2 - 165*t in the form s + o*t**2 + m*t and give o.\nAnswer: -233","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 25.765 + -16.03. Let r = v - -0.065. Let m = -9.8129 + r. Round m to 3 dps.\nAnswer: -0.013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -38 + 38. Suppose -2*r = q, -3*w - 55 = -8*w + 2*r. Calculate the greatest common divisor of 88 and w.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((286\/(-39))\/(-11))\/4?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 6 + 0. Let w(v) = v**3 - 14*v**2 + 16. Let j be 9\/6*(-28)\/(-3). Calculate the remainder when w(j) is divided by c.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 2*r**2 + 3*r - 7. Let y be n(-3). Suppose 3*c = y*c - 4*c. Suppose c*a = -a - 5*x - 7, 4*x = -4. Put 0, -9, a, -5 in increasing order.\nAnswer: -9, -5, a, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j**4\/4 + 2443*j**3\/4 - 74253*j**2\/4 - 155831*j\/4 - 19784 = 0. Calculate j.\nAnswer: -2473, -1, 32","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 298392515.\nAnswer: 5, 31, 743, 2591","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 146*g + 4*l - 38 = 141*g, 0 = g - 2*l + 12. Solve -2*v = -g*o - 10, -3*v + 5*o + 43 = 28 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -3*w**3 - 134*w**2 - 8*w - 1. Let b(n) = 5*n**3 - n**2 + 2*n. Give -3*b(k) - g(k).\nAnswer: -12*k**3 + 137*k**2 + 2*k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -411 (base 10) in base 8?\nAnswer: -633","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -12 + 15. Solve 2*s + q = -1 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 11*d - 15391 - 81838. List the prime factors of d.\nAnswer: 8839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1\/5 (b) -0.04 (c) 2 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Determine n, given that -3*n**5 + 222*n**4 - 3075*n**3 + 9732*n**2 - 8892*n = 0.\nAnswer: 0, 2, 13, 57","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 824 divided by -1?\nAnswer: -824","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29*d + 77 + 44 = -24 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -23c399 - 2?\nAnswer: -23c39b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -b84 + 5?\nAnswer: -b7d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3541?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 9*n + 20 + 7 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mhkwdmddwmwkkhukw. What is prob of picking 1 k, 2 m, and 1 u?\nAnswer: 3\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1238394 + -0.038713625.\nAnswer: 1238393.961286375","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*o**5 - 2*o**5 + 3*o**5 + 0*o**5 - 2*o**5 + 3*o**5 + (2*o - 1 + 1)*(0*o + 0*o - 2*o**4) - o**4 + o**4 + o**5 + 88*o**5 + 0*o**4 - 147*o**5 + o**4.\nAnswer: -62*o**5 + o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 d when three letters picked without replacement from sbsobdooododoed.\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 219*j**4 + 9*j - 235*j**2 + 233*j**2 - 7*j to u*j**2 + i*j + d + g*j**3 + n*j**4 and give u.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 173*n = -178*n + 409*n - 1276 for n.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/((-2)\/13))\/(2\/58*(-4060)\/(-2520))?\nAnswer: -117","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-3)\/6*2 - 0. Let l(j) = 99*j**2 - 1. Let f be l(s). Suppose -f = -4*x + w, -3*x = -w - 2*w - 69. What is the greatest common divisor of 25 and x?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2544 a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (-5)\/((-195)\/(-52))*(-66)\/(-572)\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6783)\/(-2261))\/((-12)\/(-10)).\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*b**3 - 4*b**3 + 10*b**3.\nAnswer: -6*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-14)\/12 - (-32)\/192) + 16.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o = -8*o. Suppose -6 = -3*q - o. What are the prime factors of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 44*u**2 + 3*u - 2. Let z be v(2). Suppose 5*p - p = z. Let q = -2 - -7. What is the highest common divisor of p and q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i + 12 = -3*i. Is 160\/(-15)*18\/i a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3.9 + -4. Let h = q - -0.09999997. What is h rounded to 7 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -12 + 20. Is (-3388)\/(-112) - (-6)\/x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 79\/20 and 59\/74976?\nAnswer: 374880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 323 + -317. List the prime factors of (p\/9)\/(6\/6597).\nAnswer: 733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (1 + -1 - 3)\/(-1). Suppose 92 = s - 64. Suppose z + y*z = s. Is 10 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*n**5 - 49300*n**4 + 204062004*n**3 - 289819954044*n**2 + 25480619304408*n.\nAnswer: 4*n*(n - 4077)**3*(n - 94)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1\/(-10) + 10\/((-500)\/28945). Let c = -584 - x. Let u(s) = -s**3 - 5*s**2 + 2*s + 5. Give u(c).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12*1 + (-111)\/((-200355)\/21622)?\nAnswer: -2\/95","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -10 in 3, -3\/4, 78, 0, -1\/6?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -19\/1396296 and -137\/198.\nAnswer: 1396296","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.5 from 4019.\nAnswer: 4018.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*p - 2078 - 3290 = -902. What is the remainder when 657 is divided by p?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-4)\/(-6)*(0 + 9). Suppose -27*q = -24*q - j. Let c be 2 - (104\/28 - q). What is the nearest to c in 0, -2\/9, 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2484 - 2505.01. Let x = u + 21. What is x rounded to two decimal places?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 38 = -33*p + 31*p, 0 = 3*p + g - 64. What is the greatest common factor of p and 154?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -1. Let v(s) = s - 7. Let b(a) = -6*h(a) + v(a). Let k(p) = 5*p - 2. What is 3*b(y) - k(y)?\nAnswer: -2*y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 2\/(-16)*34*1 and (34 + 1)*2\/(-4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*j**4 - j**3 + j**4 + 6*j**2 + 5*j**2 - 3*j**4 to b + o*j**3 + i*j**4 + r*j + a*j**2 and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -365149 + 220149. What is p rounded to the nearest 10000?\nAnswer: -150000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 17, 32, 43, 50, 53, 52?\n\"Answer: -2*b**2 + 21*b - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2 + 6. Suppose 2*r = l - 2. Find the third derivative of c - r*c**2 - 26*c**2 + 39*c**3 - c wrt c.\nAnswer: 234","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -46252 divided by -927?\nAnswer: 46252\/927","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 3 - 2 - 3 - 1. Let s = -2 - 0. Let n(b) = -b + 7. Calculate s*n(k) - 5*y(k).\nAnswer: 2*k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 18*b**3 - 4*b**2 - 10*b - 17. Let l be w(-4). Let p = l - -1959. What is the units digit of p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 94 - (-2)\/(-3)*3. Suppose m = 3*f + 34, 3*m - r = f - 14. What are the prime factors of m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -12? (a) -4 (b) 5 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3215.543 kilometers to meters.\nAnswer: 3215543","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1287*d = -59651 - 57466 for d.\nAnswer: -91","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3866, 8262, 12658, 17054?\nAnswer: 21450","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -260*l - 19493. Give q(-75).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-78)\/(-12) - (-3)\/2) + 0. Solve 4*h - x*h = -8 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 18156996 and 234.\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-112)\/(-252)*((-55)\/(-10) - 1). Let t(w) be the third derivative of 7\/72*w**6 + 33*w**y + 0 + 0*w + 0*w**3 + 4\/9*w**5 + 5\/18*w**4. Factor t(g).\nAnswer: 5*g*(g + 2)*(7*g + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -104 divided by 8?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 65 - 63. Let j be c\/3 + 3 + 152\/24. Calculate the common denominator of -73\/18 and 2\/j - ((-103)\/(-90) + 2).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is c in -930*c**3 - 451945*c**2 + 17010*c = 0?\nAnswer: -486, 0, 7\/186","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6327*i**2 + 4731*i - 9462*i + 4731*i.\nAnswer: -6327*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*p**4*r + 3006245*p**3*r - 71623*r + 487 wrt p?\nAnswer: 8*p**3*r + 9018735*p**2*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -2 * 21404\nAnswer: -42808","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*l + 180 = 12*l. Solve l*c + 3*c**3 + 20*c**2 - 54*c**2 + 11*c**3 + 16 - 32*c**2 = 0.\nAnswer: -2\/7, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -1*5\/(-4 - -3). What is the second derivative of l**5 + 0*l + l - 4*l**5 + 2*l**j wrt l?\nAnswer: -20*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-358)\/9129)\/((-50)\/10*2\/5)?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 493340152?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -974.8 to the nearest 100.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:25 AM and 6:20 PM?\nAnswer: 715","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 minus -753210?\nAnswer: 753211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 288 a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2\/869 + -87773\/1738. Calculate the common denominator of (-9)\/24*850\/(-15) and p.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.30167 rounded to two dps?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -10 + -203781?\nAnswer: -203801","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = m**3 + 2*m**2 + 4*m + 1. Let k be 13\/(91\/(-42)) + 2. Let u(n) = n. Determine k*u(r) + h(r).\nAnswer: r**3 + 2*r**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve s + 18 = 16384*r - 16378*r, 2*s - r + 3 = 0 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + 80 = 26. Let q = -10 - y. Let t = 1 - 2. Which is greater: t or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 4*w**2 + 65*w + 255. Let d be g(-10). Let c(l) = 6*l**2 + 4 - 9 + 1 + 4*l. Let u(z) = -6*z**2 - 5*z + 5. What is d*c(a) + 4*u(a)?\nAnswer: 6*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 44268115 to the power of 1\/3, to the nearest integer?\nAnswer: 354","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -112202022112 (base 3) in base 11?\nAnswer: -189185","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is seventy-six fifths of a litre in millilitres?\nAnswer: 15200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-2)\/(-5)*-1)\/(2\/(-20)). Let c(a) = -r*a + 2*a + 7*a - 6*a - 7. Let u be ((-5)\/2)\/((-2)\/(-4)). Determine c(u).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = u**3 + 7*u**2 - 7*u + 3. Let c be a(-6). Let j = -78 + c. What is the greatest common divisor of j and 21?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -5\/3, 3, 3\/4, 17?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Determine a so that 5*a**5 + 15*a**4 - 40*a**3 - 60*a**2 + 80*a = 0.\nAnswer: -4, -2, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 987727 and 52.\nAnswer: 3950908","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7\/3, 4, -32\/23 in descending order.\nAnswer: 4, 7\/3, -32\/23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 19 + -57. Suppose -3116*z = -13230 - 13818 - 7228. Which is bigger: z or m?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -26*5\/(-50)*(-75)\/(-420)*7.\nAnswer: 13\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -10*i**3 - 16*i + 16. Suppose 21 = 5*x + 6. Let z(w) = 2*w**3 + 3*w - 3. Determine x*f(t) + 16*z(t).\nAnswer: 2*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in 0.05, -6\/7, -1, -289?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 10445140.1300182 - 10445138. Let o = d - 2.13. What is o rounded to 5 dps?\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -807*d**2 - 769*d**2 + 1591*d**2.\nAnswer: 15*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, 2\/13, 93, 1\/1669.\nAnswer: 1\/1669, 0.1, 2\/13, 93","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 25 + -1 - -1 - (265 + -254) - 9 - -84\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*n**3 + 18*n**3 - 22*n**3.\nAnswer: -2*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out -131.4 * -0.3.\nAnswer: 39.42","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = l**2 + 7*l + 2. Let s be d(-4). Let k(o) = -3*o**2 - 24*o - 20. Let h be k(s). Let j = 109 + h. What is the tens digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*a = 6*a. Suppose 4*i - 9*i + 175 = -5*n, a = 5*i + 4*n - 220. Calculate the remainder when i is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1*(-2)\/4)\/((-27)\/(-216)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zys when three letters picked without replacement from {u: 1, z: 2, s: 1, y: 2, e: 1, g: 1}.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -r + 11. Let m be i(5). Suppose -60 = -9*y + m*y. What is the least common multiple of y and 4?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 17*o - 98. Give q(7).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4 + -19. Let s = 23.4 + v. Put s, -1, -2\/77 in descending order.\nAnswer: s, -2\/77, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -59\/13 or -7\/2?\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, 17, -1 in decreasing order.\nAnswer: 17, 6, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*((2 + sqrt(2448))*-4 + (sqrt(2448) + (-2 + sqrt(2448))*1 - sqrt(2448))) + 0)**2.\nAnswer: 6480*sqrt(17) + 199188","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -a**3 + a**2 - a + 6. Let t(q) = q**2 + 6*q + 5. Let n be t(-5). What is the units digit of d(n)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -u**3 + 4*u**2 - 4*u + 2. Let y be t(2). Suppose -3*n = -y*n. List the prime factors of -11*(n - 1)*1.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x, 1 r, and 1 f when three letters picked without replacement from dxxfprarxrdadxr?\nAnswer: 16\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3289?\nAnswer: 11, 13, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 83 - 81. Find the third derivative of -14*s**3 + n*s**2 + 16*s**2 + 8*s**2 wrt s.\nAnswer: -84","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5 + 7. Suppose -7*k = -4*k - 3*s + 6, 5*s = 3*k. Which is the nearest to k? (a) w (b) 0.4 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = x**2 - x - 3. Let b be c(3). Let z(i) = 7*i - 5. Let n(m) = -m - 3*m + 193 - 125 - 65. What is b*z(r) + 5*n(r)?\nAnswer: r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wwstthhsthihstwthh. Give prob of sequence tw.\nAnswer: 5\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3.08 - -0.08. Let h = 6 - 5. Let s = 4.33 + -0.33. Which is the nearest to y? (a) 0.5 (b) h (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 21 + -3. What is the units digit of v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 301.98 - 302. What is the biggest value in 0.5, a, -1\/9?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 125469852, 125469849, 125469844, 125469837, 125469828?\nAnswer: 125469817","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 454 + -459. Let x = 62 + -249\/4. Let f = -0.1 - -0.3. Sort x, f, i, -3\/5 in decreasing order.\nAnswer: f, x, -3\/5, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -55*u**4 - 5*u - 17*u**4 + 14 + u**2 + 71*u**4 - 18 as r + v*u + p*u**2 + b*u**3 + k*u**4 and give r.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20*r - 16*r - 134*r**2 - 113*r**2 + 36*r + 300*r**2.\nAnswer: 53*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000040954 rounded to 6 decimal places?\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -r**2 - 33*r - 141. Let q be v(-28). What is the nearest to 3 in -0.1, -5, q, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4305 is divided by 726?\nAnswer: 675","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 181\/1379400 and -2\/513.\nAnswer: 12414600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 80521.\nAnswer: 7, 11503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((20\/(-24))\/(-5))\/((-2)\/16)?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000020257 to six dps.\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 9007123481 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*a**5\/5 + 76*a**4\/5 + 48*a**3 + 244*a**2\/5 + 82*a\/5 = 0. What is a?\nAnswer: -1, 0, 41","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 4 + 6 = 0. Let d = 8 - -32. What is the greatest common divisor of o and d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2)\/((-6)\/237) + 3. Suppose -i + o - 50 = 0, 4*o + 5 = -7. Let q = n + i. Is q a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -90, 11, 180, 417, 722, 1095?\nAnswer: 1536","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2 - 9 - q**2)*(46 - 29 + 16)*(3 - 3 - 3*q).\nAnswer: 99*q**3 + 693*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u + 12 = -5*s, -u + 5*s + 17 = 3 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 694223889 to the power of 1\/4, to the nearest integer?\nAnswer: 162","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 13*b**2 - 9. Let m(a) = 6*a**2 - 4. Let z(u) = 9*m(u) - 4*s(u). Suppose -36*o + 48 + 24 = 0. Let t(x) = 288 - 288 + 55*x**o. Give z(t(l)).\nAnswer: 6050*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -0.3, -32\/9.\nAnswer: -32\/9, -1, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5626*y - 1785*y - 861667 = -22819*y + 1297793 for y.\nAnswer: 81","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1470030377 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 10559215\/267 + -79095\/2. What is the common denominator of d and 12\/979?\nAnswer: 5874","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2893.20695 rounded to the nearest 1000?\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:56 PM and 5:53 AM?\nAnswer: 657","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*s**4\/4 - 355*s**3\/4 + 770*s**2 - 1580*s.\nAnswer: -5*s*(s - 4)**2*(s + 79)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(190) + sqrt(190) + 1*sqrt(190) + sqrt(190) - sqrt(190))*4 + sqrt(190))\/(sqrt(10) - (sqrt(70)\/sqrt(700) + sqrt(10) + sqrt(10))).\nAnswer: -130*sqrt(19)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 4, w: 15}. Give prob of picking 3 w.\nAnswer: 455\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 8803 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -167 to the nearest 100.\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1 (b) -30 (c) 0.3 (d) -0.1 (e) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 770 by -8.\nAnswer: -385\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.1128708006 to three decimal places.\nAnswer: -0.113","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 3*j - 1350 = 1090, 4*j - 1855 = -3*q. Factor 2*r**2 - q + 1364 + 931 + 116*r.\nAnswer: 2*(r + 29)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 30 + 3 + -4 - (-875 + 903)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 75 and 3975?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1816350?\nAnswer: 2, 3, 5, 12109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10878 is divided by 677.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.44 to the nearest integer.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 43764 is divided by 1757?\nAnswer: 1596","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -119*g + 5957. Calculate the remainder when 615 is divided by c(45).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 2, h: 1, l: 2, x: 7, r: 3, u: 3}. What is prob of sequence rumx?\nAnswer: 7\/4080","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u + 5*h = -11, 34*u - 96*u = -60*u + 2*h - 4 for u.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**1)**(3\/2)\/(m**(-4)*(m*(m**(2\/9)*m)\/m)\/m*m*m))**(-32) assuming m is positive.\nAnswer: m**(-944\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = 5*x - 19, 4*x - 14 = -5*u + 21. Suppose -x = 4*y - v, 25 = -5*y - v + 6*v. Which is the nearest to 2\/7? (a) -1\/12 (b) 2 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -129, -3.\nAnswer: -129, -3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 430309 to the nearest integer?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-18)\/(-24)*3\/(27\/10).\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 3\/7, 1\/5, -0.05 in descending order.\nAnswer: 5, 3\/7, 1\/5, -0.05","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -7 (base 16) to base 3.\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -953836*l**2*n**3*r - 10675*l**2*n**2*r - 4*l**2*n**2 + 153*l*n*r + 2*l*r**2 + 114*n**3*r**2 wrt n?\nAnswer: -5723016*l**2*r + 684*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 4 = j + j, -5*r + 24 = -2*j. Suppose 3*d + c - 1 = 0, 5*d - 15 = -4*c - 4. Put 5, d, 3, j in ascending order.\nAnswer: j, d, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 4301 + -116?\nAnswer: 4152","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 88708510.\nAnswer: 2, 5, 11, 337, 2393","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) be the third derivative of -p**6\/120 - 8*p**5\/15 - 11*p**4\/8 - 11*p**3 - 786*p**2. Calculate v(-31).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 123 + -123. Solve 0 = -3*h - g*h + 9 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 86 - 1138?\nAnswer: -1042","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 414 is divided by 95.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:00 PM and 6:20 AM?\nAnswer: 560","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.044 - -0.044268. What is q rounded to 5 decimal places?\nAnswer: 0.00027","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -7 - 10 + 4*w - 19 - 3. Let s be d(9). Let q be ((-718)\/8 - s\/(-12))*-11. What is q rounded to the nearest 100?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -300, -261, -220, -177, -132?\n\"Answer: z**2 + 36*z - 337","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2413 - 12053\/5. Let m be (6\/30)\/((-3)\/(-12)). Suppose -m*s**3 - 16\/5*s**2 - 2\/5 + 18\/5*s**4 + x*s - 8\/5*s**5 = 0. Calculate s.\nAnswer: -1, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*k**5 + 183*k**4 - 410*k**3 - 144*k**2 = 0. Calculate k.\nAnswer: -8, -9\/29, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 = -5*q - 4 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 51718033?\nAnswer: 71, 728423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1\/8, 327, 0.4, -6\/7, 5?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -4, -3106 in increasing order.\nAnswer: -3106, -4, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1 + 1. Suppose 2*s + 9 = -2*k + 55, s + 4*k = 32. Suppose r - s = -5*d. Is d a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(-8)\/b**(-7\/4) assuming b is positive.\nAnswer: b**(-25\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 599127 + -22160745\/37. Let j = s + -188. Which is greater: j or -1?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 589 - 586. Suppose b*r - 2474 + 9158 = 0. Round r to the nearest ten.\nAnswer: -2230","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1250 + 1253. Which is the fourth biggest value? (a) 3\/5 (b) g (c) 0.3 (d) 10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 376865807?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 6 = -0*x. Suppose n - 25 = -4*n + x*r, -2*n = 5*r + 21. Solve 22 = -2*b - 3*g + 6, n*b - g = 0 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -i**3 + i**2 + 4*i. Let m(z) = 772*z**4 - 7*z**3 + 7*z**2 - 217*z + 3. Let f(s) = 7*a(s) - m(s). Find the second derivative of f(d) wrt d.\nAnswer: -9264*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -273 = 3*z + 5*l + 192, 2*z + 3*l = -307. Which is the nearest to z? (a) 4 (b) -3 (c) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 18304 and 254848?\nAnswer: 1408","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*z**2 + 2001*z = 0. Calculate z.\nAnswer: 0, 2001\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 0\/(90\/9) + ((-135)\/3)\/(-3). Sort 0, m, 11.\nAnswer: 0, 11, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*s - 5*s + 3*z - 2280, 0 = -3*s + z - 3427. Is 1*(s + 4)*(-2)\/2 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 1 r when two letters picked without replacement from {e: 4, v: 1, r: 1, q: 1, u: 2, l: 3}.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*g = -2*g - 105. Let b(v) = 3*v + 5. What is b(g)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -2*k**2 + 7*k - 1. Let z be -7*6\/(-70) + (-36)\/(-15). Give b(z).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -613, -609, -603, -595?\nAnswer: -585","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1 + -3. Let g(f) = -f**3 - 4*f**2 + 78*f + 246. Let a be g(-3). What is the closest to 2 in -1, a, z?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1384 and 307421?\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(sqrt(1539) + (sqrt(1539) - (sqrt(1539) + 1 + sqrt(1539))*-3)).\nAnswer: 6 + 144*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/40, 2\/7, -3\/2, -3\/34 in descending order.\nAnswer: 2\/7, 1\/40, -3\/34, -3\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(8\/5)\/(n\/(n*n**1)))**(2\/77) assuming n is positive.\nAnswer: n**(26\/385)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 89*a**2*i + 2*a**2 - 33*a*i - 1376*a + 2*i with respect to i.\nAnswer: 89*a**2 - 33*a + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14555710 is divided by 97038.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 558, -479, -3 in decreasing order.\nAnswer: 558, -3, -479","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o = -2*k - 95403 + 95387, -2*o - 86 = 18*k for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -673362*l + 336682*l + 336679*l.\nAnswer: -l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3381 + 3377. What is the smallest value in h, 5, 0.1, -93?\nAnswer: -93","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 344239?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*w + 4*d + 142, w + 0*w + 4*d - 26 = 0. Suppose 0 = -4*h - 16, 13*o + 3*h + w = 16*o. What is the highest common divisor of o and 20?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*y - 14*y + 3*o = -19, -20*y + 3*o = 1229 - 1249 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 25.9 - 26. Which is smaller: 11111 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 1 + 19 = 4*z, -a = -2*z + 6. Let d be 5*(4\/10 + z). Suppose 5*o = 2*o + f + d, -o - 4*f = -17. Does 3 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 46 by 9605.\nAnswer: 46\/9605","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -8995*r + 375587941 - 375587941 as q + h*r and give h.\nAnswer: -8995","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 2*m + 2*s, 3*s = -2*m - s - 2. Suppose m*h - z = 55, z + z = 5*h - 93. Let w = h + -12. Sort w, -5, -4 in increasing order.\nAnswer: -5, -4, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 2 x when three letters picked without replacement from tfhtxfxhtfhfhyfift?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 4*p**2 + 15*p - 3. Let b(s) = 5*s**2 + 16*s - 3. Let u(m) = 5*b(m) - 6*z(m). What is the units digit of u(10)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (16\/6)\/(44\/(-12) + 3).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 7849*f**2 - 70663*f + 11. Calculate j(9).\nAnswer: -187","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/(-27) + 12\/54?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 451 divide 85658777?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3268 to the nearest integer?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2064022.7 + -2064033.6999945. Let u = g - -11. Round u to six decimal places.\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 1, s: 2, i: 3, e: 5, a: 3, k: 1}. Give prob of picking 1 z and 1 k.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 8240, 32957, 74152, 131825, 205976, 296605?\n\"Answer: 8239*m**2 + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -263 = -28*r + 25*r + o, -5*o = -5. Suppose 18*z = 26*z - r. Calculate the greatest common factor of z and 407.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2.5 + 2. Let f = 38 - 43. Which is the third biggest value? (a) 0 (b) f (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*s**2 + 29972*s - 51*s**3 + s**2 + 50*s**3.\nAnswer: -s**3 + 3*s**2 + 29972*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12873 is divided by 12846.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 209 minutes before 12:31 PM?\nAnswer: 9:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -p - 5. Let y be r(-6). Let g = 4 + y. Suppose -1 = -2*w - 5, 0 = -g*z - 3*w + 19. What is the units digit of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.177 smaller than 7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pa when two letters picked without replacement from {e: 1, p: 8, a: 2, k: 2, u: 5}?\nAnswer: 8\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 9382565 times -2\nAnswer: -18765130","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 40 + -31. Calculate the lowest common multiple of 9 and g.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13639 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -7c004 (base 14) to base 12\nAnswer: -126818","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 - 3 - 5 + 6)*(127*m + 123*m - 241*m) to the form w + p*m and give p.\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen fifths of a milligram in micrograms?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5073*v + 6050*v - 5257*v - 709 + 3910*v.\nAnswer: 9776*v - 709","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(121)*4*-3)\/sqrt(11))**2*-6.\nAnswer: -9504","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6676.\nAnswer: 2, 1669","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 10766 and 47678?\nAnswer: 1538","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 5670 - -5859. What is the tens digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 + 0 = -221*s + 3 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -d**2 + 5*d + 2. Let w be o(5). Suppose -5*k - 4*z + 46 = 0, -6*z = -3*k - w*z + 2. Let g(r) = -r + 4. Calculate g(k).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence arxa when four letters picked without replacement from {a: 2, b: 5, x: 3, z: 1, m: 1, r: 1}.\nAnswer: 1\/2860","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1 - 303142?\nAnswer: -303141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 172 and 48?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:41 AM and 10:35 AM?\nAnswer: 54","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-27)\/(-66))\/((-10269)\/27300 + 6\/16). Which is bigger: -354 or d?\nAnswer: -354","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (56\/(-140))\/(12\/10)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1 - -1)*2\/(-4). Let n(r) = r**2 + 0*r**2 + o*r - 2*r - 4*r + 7. Determine n(5).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 165 = 5*x - 5*r - 55, 5*x - 3*r - 212 = 0. Let n be (-66)\/85 + 1 + (-16)\/x. Do n and 1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1136116 times -0.4?\nAnswer: 454446.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 3255386409?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-4 - -364)\/3 - -4 is divided by 51?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = v + 116. Let g(m) = -4*m - 435. Let j(o) = -4*g(o) - 15*w(o). Let n(i) = 57*i**2 + 4. Give j(n(r)).\nAnswer: 57*r**2 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 6*w + 80 = 0. Let n = w + -11. Solve x + 0 + 8 = -4*s, 0 = 5*s + n for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -7209 - -7224. Let d be (-4)\/24 - 22\/12. Let p(h) = -4*h + 2. Let x be p(d). Which is greater: x or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3061497 to the nearest integer?\nAnswer: 145","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3056 = -310*i + 886 for i.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*w - 134 + 608 - 435130*w**2 + 435133*w**2 in the form y*w**2 + v + p*w and give y.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00205271 rounded to 3 dps?\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2386*d + 5244 = -1120*d - 1128*d for d.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -663*u**4 + 617*u**2 - 2 wrt u?\nAnswer: -15912*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 0.242814ml?\nAnswer: 0.000242814","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 0 + -206630?\nAnswer: -206630","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r + 34*p = -53*p - 258, -4*r = -91*p + 88*p + 3 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 32\/(-10)*-1*5 + 88\/(-44).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -t**2 + 29*t + 21. Determine h(30).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -715.3 + 0.3.\nAnswer: -715","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 7251 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 4*o - 46 = -4*i, -4*o + 19 = 3*i. Suppose j + i = 4*j. Let l(d) be the third derivative of d**5\/60 - d**4\/12 - 2*d**2. What is l(j)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 14458552 to the nearest integer?\nAnswer: 244","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of 948124?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s*s**0*s*s*s)**(-24\/5))**30*s\/(s**(-2\/15)*s)*s*s**5\/s*(s\/(s\/(s\/(s*s**5))))\/s**(-1) assuming s is positive.\nAnswer: s**(-10783\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x + 0*x = 3720. Suppose -48551 = -2735*r + 33499. Calculate the greatest common factor of r and x.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*c + 13*c + 27 = 0. Sort -3, -2, c.\nAnswer: c, -3, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 1.14, -0.04, 2, 0.5?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1678177 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*n + 4*n + 260 = 4*n. What is the highest common divisor of n and 27370?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1012 + 1022. What is the remainder when 148 is divided by t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-v**3 - v**3 + v**3)*(-2 + 5*v + 2)*(4 - 7 + 5) - 16*v**4 + 51*v**3 - 51*v**3.\nAnswer: -26*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -6 - -b383?\nAnswer: b379","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s, 1 b, and 1 v when four letters picked without replacement from {b: 1, j: 1, p: 1, s: 4, v: 2}.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 51 (b) -2 (c) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (((-2)\/(-2))\/(-5))\/1. Let m(t) = t**3 - 14*t**2 + 20*t - 92. Let x be m(13). Which is bigger: j or x?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1005703?\nAnswer: 17, 59159","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 23\/6 + (-1)\/(-6). Let d be 21*(-2)\/12*s. Let r = d + 25. Which is smaller: r or 12?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 38 - -122. Let r = b + -184. Is 3 > r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2341241*o**3 + 21*o**2 + 3*o + 1869802 wrt o.\nAnswer: -14047446*o + 42","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -5 (b) 4\/3 (c) -106 (d) -3 (e) 0.033\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 2*q**3 - 3*q**2 - 4*q - 15. What is the remainder when l(5) is divided by 47?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 811 divide 97459492?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 2 s when three letters picked without replacement from {i: 2, f: 7, w: 2, s: 7}.\nAnswer: 7\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -362, -494, -612, -710, -782?\n\"Answer: i**3 + i**2 - 142*i - 222","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 84*z**3 + 53 - 44*z**3 - 49.\nAnswer: 40*z**3 + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1539) + 1 + sqrt(304)*5 + (1*(sqrt(152) - (sqrt(152) + -2*sqrt(152) + sqrt(152))))\/sqrt(8).\nAnswer: 1 + 30*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 1, j: 4, x: 3, l: 1, t: 4}. Give prob of picking 1 t, 1 l, and 1 x.\nAnswer: 6\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -20 or -163\/8?\nAnswer: -163\/8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -24, 3, 971, 0, -1, 37.6 in descending order.\nAnswer: 971, 37.6, 3, 0, -1, -24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence smtt when four letters picked without replacement from {t: 2, m: 4, s: 2, a: 3, z: 1, g: 3}?\nAnswer: 2\/4095","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t = -4*b + 24, 5*b = -t - 0*t + 22. Suppose 5*q = -5*k, 2*k = 6*q - q + 21. Let v = b + k. Calculate the lowest common multiple of v and 3.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 567275 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 39222 to the power of 1\/5, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1627?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -40 + 46. Let f be (12\/(-8) + 3)*o. Suppose -3*y = -2*r - 253, f + 110 = -r + 3*y. Round r to the nearest 10.\nAnswer: -130","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5057475 + 0.07.\nAnswer: 5057475.07","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -39970.211626+0.0222\nAnswer: -39970.189426","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 315\/525 + 1\/((-20)\/37)\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -154, 5, 12, -5, 3, 1 in decreasing order.\nAnswer: 12, 5, 3, 1, -5, -154","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z = -5*m + 25, 125*z = 127*z - 3*m + 15. Solve z = 218*y - 220*y - 2 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.001413 to 5 dps.\nAnswer: 0.00141","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/4 in -3\/5, 156.2, -12189?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-422)\/(-133985)*(-5)\/1.\nAnswer: -2\/127","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -1273, -3439, -6483, -10405?\n\"Answer: -439*q**2 - 849*q + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/3 in 2\/9, -7, 6?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -826*b**5 + 58642*b**4 + 755248*b**3 - 809128*b**2 - 3936*b = 0.\nAnswer: -12, -2\/413, 0, 1, 82","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + sqrt(500) + -5 - sqrt(500)) + -5.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -308*p + 48. What is h(0)?\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l - 4*x = 14, 0*l - 3*x = 2*l for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1 - -16860?\nAnswer: 16861","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fm when two letters picked without replacement from maufkmb.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -2\/7, -0.3, -4 in ascending order.\nAnswer: -4, -3, -0.3, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 4 (b) 1 (c) 0.09 (d) 1.1 (e) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (-2132)\/369 + (-432)\/(-81) + (-4)\/3\nAnswer: -16\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 154404510 and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -4*s**3 - 94*s**2 - 45*s + 24. Let j be x(-23). Let o be (-6)\/(-5)*2\/4. Which is the nearest to j? (a) 14 (b) o (c) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1354492692?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 11762 + -3 - (11 + (-24 - -13)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 172 less than or equal to 1194\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - h - 4 + 0 = 0, -4*h = 5*p + 18. Find the common denominator of ((-48)\/(-52) + p)*1 and -59\/8.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -74.82 + -1.18. Let h = u - -74. What is the smallest value in -5, 0.1, h, -0.2?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 46, 54, 58, 52, 30, -14, -86, -192?\n\"Answer: -t**3 + 4*t**2 + 3*t + 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -j**2 - 10*j - 2. Let t be v(-8). Suppose t = -3*s + 5. Let p = -3 - s. Solve -3*a + 2*c = p, -2*a + 4*c = c for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -2*t. Let n(c) be the second derivative of 7*c**6\/10 - c**4\/12 - 29*c**3\/3 - 6*c + 4. Let m(o) be the second derivative of n(o). What is m(z(v))?\nAnswer: 1008*v**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 200 and 16.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, -10, -1 in increasing order.\nAnswer: -10, -6, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.05? (a) 0.5 (b) 2\/15 (c) -23 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 0 + (-44 - 0 - (1 + 4)) - (23 - 33)\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Total of 3.4 and 6190470983.\nAnswer: 6190470986.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(90) + (sqrt(90) - (sqrt(90) - 1*sqrt(90))) + sqrt(90))\/sqrt(6))\/(sqrt(320) + sqrt(320)*1 + sqrt(5)).\nAnswer: 3*sqrt(3)\/17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1876 divided by 469?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 17120\/51 = 336?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Are 0.326528 and 2\/239 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -26 + 4 + 5 + (-3 + 8 - 4)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/(-5)*(-5)\/(((-22)\/77)\/1).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 202651 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.06 - -0.94. Let m = r + -5. Let h = 10 + -6. What is the nearest to h in 0.4, m, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 157, 162, 169, 178?\nAnswer: 189","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -a**2 + 1406*a - 49365. Give h(36).\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 17720, 17690, 17620, 17492, 17288, 16990, 16580, 16040?\n\"Answer: -3*o**3 - 2*o**2 - 3*o + 17728","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21 - 33 - 164*p**2 - 176*p**2 - 4*p**3 + 340*p**2 + 2*p.\nAnswer: -4*p**3 + 2*p - 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 128646 and 3716440?\nAnswer: 33447960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 7879 a multiple of 37?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1 + 3\/4)*-2. Let m(c) be the second derivative of -c + 0 + 2\/3*c**3 - r*c**2. Give m(2).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lw when two letters picked without replacement from lruws?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*c - 464*o + 459*o - 32 = 0, -2*c + 2*o = -12 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -29.1028 + 0.00198.\nAnswer: -29.10082","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5.1 + -34.9. Round w to the nearest ten.\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i - 5 = -8 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2257267?\nAnswer: 79, 28573","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wbb when three letters picked without replacement from bwogobooo.\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 327872 and 6803344.\nAnswer: 27213376","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -591 less than -18.25?\nAnswer: 572.75","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 99.79378kg to tonnes.\nAnswer: 0.09979378","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*v - 5*v + 10*v)*(7*v**2 + 3*v**2 - 2*v**2)*(-3*v + 7*v + v) to the form s*v**4 + o*v**3 + g*v + p + k*v**2 and give s.\nAnswer: 280","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10 + -1121?\nAnswer: -1201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(168)\/(sqrt(24)\/sqrt(2)) - -2*sqrt(1400))\/((-3*sqrt(77)*2)\/sqrt(11)) + 0.\nAnswer: 35*sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -z - 16. Determine t(-5).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -5 + 6860*x + 5 - 1729*x in the form b + p*x and give p.\nAnswer: 5131","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + -1 + 0 + sqrt(2) - (sqrt(768)*3)\/sqrt(6).\nAnswer: -23*sqrt(2) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 13*d**2. Let h(k) = -12*k. Let q(s) = 2*s - 16. Let a(r) = -r + 10. Let b(v) = -8*a(v) - 5*q(v). Let o(w) = 11*b(w) - 2*h(w). Calculate l(o(f)).\nAnswer: 52*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 7*a - 2*a - 4*a**2 + 3*a**2 + 7 + 0*a**2. Let r be m(7). Let q = -4 - r. List the prime factors of q.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*n**4 + 5*n**4 - n**4)*(-n + 3*n + 6*n) + 11*n**5 - 9*n**5 - 5*n**5 + (-2 + 5 - 1)*(-6*n**5 + 4*n**5 - n**5).\nAnswer: -25*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 2\/3, 5, -23, 2171, 0.2, 4?\nAnswer: 2171","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + 1*(-5 + -1*(sqrt(704)*2 + -4)*6))**2 + -5.\nAnswer: -3264*sqrt(11) + 101660","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1432 + 12454. Calculate the remainder when d is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 150 (base 8) to base 11.\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 38263551 a multiple of 151?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-81)\/(-15) - (-4)\/(-10). Suppose -8 = 2*j - 4*x, -3*x - b + 18 = -5*j. Let r = -3908 + 7815\/2. Is r > j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/(-7)*15\/(480\/8)?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10011010 + 11?\nAnswer: -10010111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -97764909 smaller than -97764910?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by -22438\nAnswer: 5\/22438","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 114113 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 38 + -6 + 9\/3. What is the highest common divisor of f and 280?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -7437697, 2\/5, -2?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 24 = -2*g, -5*g = -12 - 3. Calculate the highest common factor of f and 75.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:50 PM and 3:00 AM?\nAnswer: 670","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -437, -112, -1 in decreasing order.\nAnswer: -1, -112, -437","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 17605 a multiple of 132?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = n - 5. Let m be i(6). Let y = -2012 - -4097\/2. Let z = -1967\/54 + y. Is m at least z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -97 + 54. Let x = w - -43.23. Let g = x + -0.73. What is the nearest to -1\/5 in g, 1, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 136 minutes before 1:43 PM?\nAnswer: 11:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*u**2 + 0*u**2 + u**2.\nAnswer: -11*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) be the third derivative of -2*z**7\/35 + z**6\/120 + 23*z**5\/30 + z**4\/24 - 125*z**2. What is the third derivative of k(a) wrt a?\nAnswer: -288*a + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -4530570*f + 2935452 wrt f.\nAnswer: -4530570","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 2022750, 8090909, 18204508, 32363547, 50568026?\n\"Answer: 2022720*o**2 - o + 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j = 4*t, t + 2*t = 4*j - 31. Suppose 0 = 8*r - 7*r. Let w be ((-21)\/(-6) + -4)*r. Solve 5*z - 30 = f, w = -2*z + 2*f - j*f for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*x = 29*x - 56. Suppose 0 - x = f. Let b(t) = -t**2 - 9*t - 3. Calculate b(f).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -33003, -65883, -98773, -131679, -164607, -197563, -230553, -263583?\nAnswer: -296659","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ahwzmwc. Give prob of sequence hzw.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -238*j**2 - 2*j - j + 0*j + 244*j**2 - 1. Let d be 2\/2 - (2 - 0). Let w be l(d). Solve -2*x = -2*a + 3*x - 13, -4*x = -4*a - w for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 85\/216 and 97\/360?\nAnswer: 1080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + -15 - (-12 - 10 - -10)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 5*q. Let d(z) be the second derivative of 0*z**3 + 0 + 5\/12*z**4 + 0*z**2 + 9*z. What is d(b(v))?\nAnswer: 125*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(-1)*o**0)\/(o\/(o\/(o\/(o**6\/o)))*o\/(o**4\/o)))\/((o\/((o**(-2)*o*o)\/o))\/o**(2\/7)*(o\/((o*o**0)\/o*o))**(6\/29)) assuming o is positive.\nAnswer: o**(23\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1505*o - 896*o + 583*o)*(-o**4 + 4*o**3 - 4*o**3).\nAnswer: 1818*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 163038.\nAnswer: 2, 3, 29, 937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36 = -80*x + 92*x for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 3 + 0 + (3 + 0 - 4)*(-7 + 4 + 4) - 2 - 1 + 4 - 3 - 5 + 5 - 75 + 25 + 20)*(-2 - 5 + 6)*(6 - 1 - 4)*(t + 0*t + t) to the form s*t + l and give s.\nAnswer: 70","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.3 (b) -7\/2 (c) -4 (d) -2 (e) -40\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 37\/325 + 1\/25. What is the nearest to 5 in x, -5, 3, 2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine r, given that -r**3\/5 + 3*r\/5 + 2\/5 = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 32154.2 - 32153. What is the third biggest value in o, -2\/13, 2, 96?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32993 a multiple of 118?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -3699 greater than -3699?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 152 = 7*h + 68. What is the highest common factor of 12 and h?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -2869*v**4 - 2*v**3 + 2961. Let h(s) = -5735*s**4 - 5*s**3 + 5923. Let u(m) = -5*c(m) + 2*h(m). Differentiate u(a) wrt a.\nAnswer: 11500*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) be the third derivative of -o**6\/30 - 11*o**5\/15 - 35*o**4\/6 - 50*o**3\/3 - o**2 + 59. Let l(h) = 0. What is h?\nAnswer: -5, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -3*t**2 + 97*t - 25. What are the prime factors of a(23)?\nAnswer: 619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 1 + 4*g - 1. Suppose -17 = 5*r + 13. Let j = r + 8. Give x(j).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oq when two letters picked without replacement from {w: 1, t: 2, q: 2, o: 1, b: 2, v: 5}?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 15*c**3 - 4*c**2 - 57*c + 49. Is v(12) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.07191 and -21.\nAnswer: 1.51011","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(4\/9)*n\/(n*n**7\/n))\/((n\/(n*n**(2\/7)))\/(n**(-3\/2)\/n)))\/(n**(-1)*n**(-1\/5))**(-1\/15) assuming n is positive.\nAnswer: n**(-24727\/3150)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -7 - -10. Suppose n + 7 = 5*n - x*s, s - 11 = -2*n. Solve z = n*z - 3 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.4552007m to nanometers.\nAnswer: 455200700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 4*j = 12. Suppose 2*p + 372 = 3*r, -2*r - j*p = -355 + 91. What is the greatest common factor of r and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 0 = -10. Let z be 29\/(-5)*(-1 + l + 1). Let t = z + -26. Let y(p) = p - 1. Give y(t).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 314693 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 16 + -11 - -13 - 26.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -608*h + 613*h = 40 for h.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -39 = 16*h + 67 + 38 for h.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -110010111011111 + 111100?\nAnswer: -110010110100011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5.46*-0.1.\nAnswer: 0.546","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**0)**(-34)\/((n*n\/(((n**(2\/3)*n)\/n)\/n)*n*n)\/(n**(-6\/7)\/n)))\/(((n*n**(-1\/3))\/n)**(2\/3)\/(n**(-1)\/n)**(-39)) assuming n is positive.\nAnswer: n**(4538\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 75775 and 63.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 24\/11 (b) 2\/1111 (c) -0.08\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 1079016079?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -j + 5. Let q be b(-7). Suppose m + 2*m - q = 0. Is m a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1404 and 0.1?\nAnswer: 140.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*x + 64101*x**2 + 0*x - 64099*x**2.\nAnswer: 2*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, 18.3, -2\/7033, -3.\nAnswer: -3, -0.2, -2\/7033, 18.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 17465189 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 25210 > -14042?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 4280091 divided by -129?\nAnswer: -33179","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 33*h**3*o**2 - 6*h**3*o + 2*h**3 + 81*h**2*l*o**3 - 61*h**2*l*o - 6*h*l*o - 163*o**3 + 16*o wrt o?\nAnswer: 66*h**3 + 486*h**2*l*o - 978*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -22646300 (base 7) in base 5?\nAnswer: -1002320120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 0 + 22*o**2 - 18*o**2.\nAnswer: 4*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.2 + 5.2. Let w = -7 + 7.2. Which is the nearest to w? (a) 4 (b) u (c) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in thirteen fifths of a milligram?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) be the third derivative of b**7\/3570 - b**6\/612 - 7*b**5\/510 + 2*b**4\/51 - 11*b**3\/3 + 103*b**2. Let a(f) be the first derivative of d(f). Factor a(m).\nAnswer: 2*(m - 4)*(m + 2)*(2*m - 1)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 63, 156, 267, 390, 519?\n\"Answer: -a**3 + 15*a**2 + 55*a - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.4 (b) 2202 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-6)\/(-9) + 330002\/(-3). Round m to the nearest 100000.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -h**3 - 13*h**2 - 13*h - 12. Let d be b(-12). Solve 0 = -3*y + k + 9, -y - 2*k + 5 + 5 = d for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -d (base 14) to base 3\nAnswer: -111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 5672748589 a multiple of 3461?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = g. Let r(z) = -503*z**2. Calculate r(v(a)).\nAnswer: -503*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 47750 and 310.\nAnswer: 1480250","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 114 is divided by 18?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -88638*m**2 + 29543*m**2 + 29554*m**2 + 29540*m**2.\nAnswer: -m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -78 + 76. Let h be (-1046)\/2 + u + 0. What is the common denominator of (-2)\/(-3)*h\/42 and 74\/15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (6*sqrt(126)*1)\/((sqrt(1008) - sqrt(1008)*1*-2) + sqrt(1008) - sqrt(1008)) + 1.\nAnswer: sqrt(2)\/2 + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 plus -1441.027?\nAnswer: -1440.627","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -419, -26 in ascending order.\nAnswer: -419, -26, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 406 minutes before 8:51 AM?\nAnswer: 2:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 2561992306 to the power of 1\/4, to the nearest integer?\nAnswer: 225","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5606, 11177, 16748, 22319, 27890?\nAnswer: 33461","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*c + 12*y + 702 - 774, -2*c = y - 31 for c.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g, 1 b, and 1 r when three letters picked without replacement from nbbbngbrbrbulbubnb.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 4406 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = -5*v - 14. Let s(r) = 5 + 7*r + r**2 - 1 + 0*r. Let k be s(v). Which is smaller: k or -1?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 8.378323 years?\nAnswer: 0.008378323","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-33)\/(-42) + 6\/(-21) - 10602\/(-2052)?\nAnswer: 17\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 50237?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3 - -3.1. Let w be (-30)\/9*433\/(-6495). Which is the closest to w? (a) 0.3 (b) -10 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = -0*x. Suppose -5*s + r - 2 = x, 0 = -3*s - 5*r + 2 + 8. Which is the nearest to -1? (a) s (b) 0.2 (c) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4.37 in -1, 3\/10, -2\/11?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 52 = 5*r, r + k + 9 = 23. Suppose -3*l - m = -r, 3*l - 3*m - 9 = 6. What is the least common multiple of 4 and l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 0, -6, -373048 in descending order.\nAnswer: 3, 0, -6, -373048","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 3*s + 4*h, -5*h - 12 = -3*s + 2. Suppose 0 = -2*p + s*p. Solve -2*m = i, -2*m + 3*i - 5*i - 4 = p for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 43*g**3 - 5*g**2 + 2*g + 5. Let o(m) = -128*m**3 + 14*m**2 - 5*m - 14. Let k(j) = -8*f(j) - 3*o(j). Is 5 a factor of k(1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4 + -2. What is the remainder when 7 is divided by h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 13*n + 2. Let g(v) = -v. What is 4*g(y) + t(y)?\nAnswer: 9*y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 7 + 1 = 0. What is the units digit of m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1102311 + 2320?\nAnswer: 1111231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 59 is divided by 55?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-14)\/(-10))\/((-64)\/(-40))*(-20)\/10?\nAnswer: -7\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:08 AM and 3:45 PM?\nAnswer: 277","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 517 minutes after 1:29 PM?\nAnswer: 10:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is (-16826)\/(-141) + (-1)\/((-6)\/(-8)) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 30 - 30.31. Let d = a - -0.3. Let s = -9 + 5. Sort s, d, -0.4 in decreasing order.\nAnswer: d, -0.4, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (21*g**2 - 21*g**2 - 6*g**3)*(3 - 4 - 6)*(-2*g + 4 - 3 + g).\nAnswer: -42*g**4 + 42*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 7283 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iwi when three letters picked without replacement from {w: 1, x: 5, z: 8, i: 2}.\nAnswer: 1\/1680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -2022 (base 3) in base 15?\nAnswer: -42","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1233 a factor of 691556409?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -252*o - 1265. Calculate l(-5).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 615079 and 89?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -128 - -132. Solve 2*d + 21 = -b*w + 9, -w = -5*d + 14 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -64621*o**3*w - o**3 - 2*o*w + 84*o - 3*w + 21 wrt o.\nAnswer: -387726*o*w - 6*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 2*n - 571 + 4*n + 571. Calculate c(-1).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 1 a when two letters picked without replacement from nxaaaaxaxanx?\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -259*y + 64*y - 879*y - 403*y - 362*y + 164 wrt y?\nAnswer: -1839","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 88 divide 99528?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 12172069 to the nearest integer?\nAnswer: 230","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 16811 - 14088.38. Let g = 2746 - c. Let z = g - -0.22. What is z rounded to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/13? (a) 1.1 (b) -292\/11 (c) 4\/3 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of (-42)\/(-63) + -2*(-122)\/12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 3*c**3 + 10*c**2 + 4*c - 11. Let b(t) = -2*t**3 - 8*t**2 - 3*t + 8. Give 8*b(s) + 5*m(s).\nAnswer: -s**3 - 14*s**2 - 4*s + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -80 = -8*w - 32*w. Solve -3*q + 7*q - 13 = -3*z, -4*q + 10 = w*z for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(25)\/(sqrt(5) + sqrt(245) + 4*sqrt(245)) + -1*(sqrt(45)*-3 + 1))**2 + -5.\nAnswer: -107*sqrt(5)\/6 + 56669\/144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -2*x + 7. Let u(p) = -p**3 + 2*p**2 + 6*p + 2. Let s be u(4). Let m(g) = g - 4. Give s*h(r) - 11*m(r).\nAnswer: r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*b + 50470 = -1400. Is 65 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*z**2 - 264024*z + 38199380.\nAnswer: 4*(z - 65861)*(z - 145)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -t**2 - t + 2. Let g(v) = -5*v**2 - 31*v + 5. Give g(p) - 2*i(p).\nAnswer: -3*p**2 - 29*p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 371 a multiple of 35?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2272?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m when two letters picked without replacement from {v: 13, c: 5, m: 2}?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u = -10*u + 24. Suppose 5*g = 5*d + 95 + 115, -186 = -u*g - 2*d. What is the tens digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*u - 19*u**2 - 3*u - 16*u**2.\nAnswer: -35*u**2 + u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 7*i**3 - 3*i**2 + 4. Let h(f) = 8*f**3 - 4*f**2 + 5. Determine -6*h(l) + 7*y(l).\nAnswer: l**3 + 3*l**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 422.23 - 426. What is d rounded to 1 decimal place?\nAnswer: -3.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(2\/11)*m\/m**(6\/7))**(-33)*((m*m\/(m\/((m**(-4\/3)*m)\/m))*m)\/(m**(-5\/6)\/m))**45 assuming m is positive.\nAnswer: m**(1425\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/((-8)\/(-3))*-2.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1901, 1917, 1933, 1949, 1965?\nAnswer: 1981","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 15) to base 14\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 1860 to the nearest one hundred.\nAnswer: 1900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eaddcdyeddbdadd. Give prob of picking 1 b, 2 a, and 1 c.\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide 19 by 19.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:28 AM and 4:23 PM?\nAnswer: 595","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 681 - 389. List the prime factors of s.\nAnswer: 2, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -89, -213, -375, -581, -837, -1149, -1523?\nAnswer: -1965","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 2*q**2 + 11*q + 12. Let c(s) = s**2 - s. Let u(l) = -c(l) + v(l). Determine u(-14).\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.1 - -0.1. Let a = 0.19755 + -0.29755. Let q be 1 - (2 - -1)\/(-6). What is the closest to a in q, 0.5, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 366\/(-61)*(-111)\/(-18)\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = q - 6. Suppose 11 + 3 = 2*d. Let f be j(d). Let i(u) = 8*u**2 + 1. Is i(f) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00006587020515 rounded to seven decimal places?\nAnswer: 0.0000659","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 3, c: 3, v: 1, l: 1, u: 2}. What is prob of sequence nu?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 41515 and 86963?\nAnswer: 437","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 14 - 50 = 3*g, -z - 5*g = 4. Suppose -6*w + z*w - 110 = 0. What is the remainder when w is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 491 minutes before 5:24 PM?\nAnswer: 9:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 483648155?\nAnswer: 5, 179, 540389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = -30*j - 12. What is the lowest common multiple of -7 + 4 + 36 + j and 16?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -16*h**4 + 21*h - 11*h**4 + 177 + 25*h + 19*h**4 wrt h?\nAnswer: -32*h**3 + 46","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1843 and 3382?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2\/(-1 - ((-250)\/15)\/10). Solve 22 = o + 5*s, a*s = -5*o - 2*s + 10 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1.9 + -2.2. What is the second smallest value in -3\/4, 0.07, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1\/6, 0.042, 0, -2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = -k - 3, -6*k = -11*k + 3*n + 21. Let y be (-8 + 1)\/(2\/(-4)). Let j = 15 - y. Which is the biggest value? (a) j (b) k (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = a - 1. Let g(u) = 3700*u + 2. Let p(i) = c(i) - g(i). Let w be p(3). Round w to the nearest one thousand.\nAnswer: -11000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = 3*j - 18, j + 0 = 4*i - 24. Let v be 58\/(-87) - (-4)\/i. Is -1\/6 at most v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (215*m**2 - 94*m**2 - 1 + 154*m**2)*(-3 + 3*m + 3) + 5*m + m**3 - 5*m to t + c*m + v*m**2 + k*m**3 and give c.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*c = -12*c + 140. Suppose c - 15 = 10*b. Solve -b*g + 6 = -0 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -9754 + 4?\nAnswer: -9750","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -677c (base 13) in base 6?\nAnswer: -150552","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11680 is divided by 535.\nAnswer: 445","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 17.26 - 17. Let i = z + -0.36. Let c = 1 - 5. What is the nearest to 1 in -1\/2, i, c?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 a factor of 3379?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 308514, 617117, 925720, 1234323?\n\"Answer: 308603*g - 89","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 6*m. Let o be (-1)\/3 + (-748)\/51. Let c be t(o). Calculate the lowest common multiple of 4 and 2\/(-9) + (-1010)\/c.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 5.811694l?\nAnswer: 5811.694","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -329854094, -329854093, -329854092, -329854091?\nAnswer: -329854090","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 2016 = -3*m, 4*c - c = -18. What is the greatest common divisor of m and 119?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -232 + 376. Let g = 7753 + -7721. What is the highest common divisor of r and g?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-5 + (-6)\/(-1))*(-9)\/(-30)*2. Factor 9\/5*r + 6\/5 + a*r**2.\nAnswer: 3*(r + 1)*(r + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -2*s**6 + 10*s**3 + s**2 + 5*s - 3. Let b(w) = 3*w**6 - 9*w**3 - 6*w + 4. Let j(k) = -5*b(k) - 6*o(k). What is the third derivative of j(p) wrt p?\nAnswer: -360*p**3 - 90","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -1956*((-286)\/(-165))\/((-1)\/5)?\nAnswer: 2, 13, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 2*n**2 - 6*n - 139. What is the remainder when s(13) is divided by 43?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 82dd - 2c92?\nAnswer: 544b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = 2*d - 0. Let u(t) = -t**3 - t**2 + 7*t + 7. Let v be u(-5). Calculate the highest common factor of v and d.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 - (0 - 0) - (17 - 16)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yyyy when four letters picked without replacement from zzzzzyyyyyzzz.\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 2220392870, 2220392868, 2220392864, 2220392858, 2220392850, 2220392840?\n\"Answer: -y**2 + y + 2220392870","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -2*h**2 + 15*h - 4. Let y be f(7). Solve -3 = -y*m + 3*v, 4*m + v - 2*v = 1 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 25*x + 6 - 26*x + 1. Let v be k(10). Let s be v\/2 + 53\/2. What is the greatest common factor of 10 and s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 125614 and 101671.\nAnswer: 347","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -8 + 18. Let w(t) = -2*t**2 + 18*t + 22. Let m be w(n). Suppose h + 1 = 0, y = m*h + 348 + 565. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 2458 = -4*v + 3945, -3*v + 1274 = b. Is b a multiple of 34?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:50 PM and 8:54 PM?\nAnswer: 304","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1424 + 1402 = -2*m. Put m, -5, -1, -2, 1 in decreasing order.\nAnswer: m, 1, -1, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (72072\/(-17199))\/((-11)\/12)\nAnswer: 32\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.026 + 270.974. Let a = -271.0262 + l. What is a rounded to 3 decimal places?\nAnswer: -0.026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r = -2*t + 74 + 75, r + 37 = 4*t. Let f be (-70)\/(-14) - (-3 + r). Solve -2*k + 4 = -3*l, -1 = -4*k - 5*l - f for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 9157?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 96586*a*l*s + 2*a*s + 2*a - 112796*l - 20*s with respect to a.\nAnswer: 96586*l*s + 2*s + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1.24188 in -0.2, 48, 2\/9, -2.5, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4 + 4*sqrt(1053))**2 - sqrt(1053)) + 3 + 3*(sqrt(1053) - (((sqrt(1053) + -4)**2 - sqrt(1053) - sqrt(1053)) + -5 - sqrt(1053))) + 3.\nAnswer: 603*sqrt(13) + 13678","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) be the second derivative of -7*f**4\/4 - f**2\/2 - 5*f + 2. Calculate r(-1).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 124 in -0.4, -6, 45?\nAnswer: 45","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.064 in 2\/5, -3, 2, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (-1 + sqrt(605))**2 + -2.\nAnswer: -22*sqrt(5) + 606","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 7.423299 kilometers?\nAnswer: 7423299000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -5, 2, 1, 36 in increasing order.\nAnswer: -5, -2, 1, 2, 36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -127, -3, 6\/7, -2\/17?\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 291101243 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1421346703 to the nearest integer?\nAnswer: 1124","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3274?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 3\/17 (b) 3 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -2*c**2 - 2*c + 19. Let q(t) = -2*t**2 - 7*t - 32. Let j(h) = -2*h**2 - 8*h - 42. Let n(k) = -5*j(k) + 6*q(k). Give -2*n(x) + 3*u(x).\nAnswer: -2*x**2 - 2*x + 21","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8 - 20 - 6)*(-10*g**4 + 7*g**4 + 5*g**4).\nAnswer: -68*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = i**2 - 4 + i**2 - i**2 + 3*i. What are the prime factors of f(-5)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 151 a factor of 9716850?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Let g(w) be the third derivative of -w**5\/60 - 10*w**2. Let p(v) = -18*v**2. Determine g(p(f)).\nAnswer: -324*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q - 3*l = -7, 150 - 145 = 5*q - 3*l for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6\/5*j**3 - 2\/5*j**4 + 0 - 4\/5*j - 2\/5*j**5 + 2\/5*j**2 = 0 for j.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 1, o: 11}. Give prob of picking 2 o.\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -p**3 - p + 1. Let s(c) = 4*c**3 + 10*c**2 + 4*c - 5. Let j(k) = 5*b(k) + s(k). Let m be j(5). Calculate the highest common divisor of m and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -235*u + 508*u + 162*u**2 - 139*u - 137*u - 1 to s*u**2 + x + j*u and give x.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 + (18 - (20 + -10))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33*t - 132 = 0, -4*l + 8 = -l - 0*l + l - 4*t for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -48*c**2 - 2*c - 2. Let b(p) = 47*p**2 + 3*p + 3. What is -3*a(i) - 2*b(i)?\nAnswer: 50*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + 3 + (((sqrt(8064)*1 - sqrt(8064) - sqrt(8064)) + sqrt(56))*-3)\/((-2*(sqrt(64) + sqrt(64)*-2))\/sqrt(8)).\nAnswer: 5 + 33*sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 3*o**2. Let i be t(-1). Suppose -i*r = -5*r. Let d be r + -989999*1 + -1. What is d rounded to the nearest one hundred thousand?\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 51459.\nAnswer: 3, 17, 1009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 2 + 3)*(-4*s**5 + 4*s**5 - s**5) + 0*s**5 + 5*s**5 - 4*s**5 + 2*s**5 + 3*s**4 - 3*s**4 + 7*s**5 + 0*s**5 - 2*s**5 + 6*s**5 - 99*s**2 + 99*s**2.\nAnswer: 12*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(28) + (sqrt(196)\/sqrt(7))**2 + 3)*4 - (0 + (sqrt(56) - sqrt(1400))\/sqrt(8)*1).\nAnswer: 12*sqrt(7) + 124","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*g - 3*o + 70 + 10, 3*o = g - 35. What is the units digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) be the third derivative of 9*o**4\/8 - 2*o**3\/3 - 3*o**2 + 146. Determine k(-2).\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2254120100 divided by -5.\nAnswer: 450824020","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f when two letters picked without replacement from {f: 5, m: 7}.\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2021324*h**3 + 673764*h**3 + 673769*h**3 + 673774*h**3.\nAnswer: -17*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 2 + 4)*(4*r**3 - 3*r**3 + 3*r**3) in the form k + y*r + z*r**3 + a*r**2 and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*k + 350 - 350 - 2091*k**3 - 8*k - 2*k**2.\nAnswer: -2091*k**3 - 2*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 329 + 6533. Suppose 0 = -2*f - 2*u - v, f + 913 = -2*u - 2516. Let s = 5654 + f. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8609491.\nAnswer: 11, 29, 137, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -p**2 + p. Let j(c) = 4*c**2 - 3*c + 3. What is -j(t) - 3*n(t)?\nAnswer: -t**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-36)\/(-14) + ((-21)\/49)\/(-1). Solve 0*m - g*n = 3*m + 21, -15 = 5*m - 5*n for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 391 and 39000525?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(((-480)\/70)\/(-24))\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 36 + -32. Let r(y) = -y**3 + 6*y**2 - 4*y - 1. Let v be r(5). Which is the closest to z? (a) -0.5 (b) -1\/4 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 1322379, 5289701, 11901963, 21159165?\n\"Answer: 1322470*r**2 - 88*r - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2, -0.5, 3\/5, -0.3?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*y - 5*x - 3750 = -3694, 119 = 11*y - 9*x for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in three eighths of a litre?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 37*d**2 - 58*d - 186. What is the smallest common multiple of 490 and n(-8)?\nAnswer: 13230","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:17 AM and 4:11 PM?\nAnswer: 414","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/k**0)**45\/(k**12*(k**(-2\/19)*k)\/k) assuming k is positive.\nAnswer: k**(629\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -0.4 (b) 0.7 (c) 5 (d) 1507.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-225)\/(-675)*16\/(-2))\/2.\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -6402 + -2562461?\nAnswer: -2602163","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1206 is divided by 13.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 6\/(36\/(-15))*(-12)\/15. Let r(m) be the second derivative of 0 + 1\/6*m**4 - 2\/3*m**3 + 0*m**2 - q*m + 3\/10*m**5. Factor r(h).\nAnswer: 2*h*(h + 1)*(3*h - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1033723?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -13\/5640 and -37\/67492?\nAnswer: 2024760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 538?\nAnswer: 2, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:52 PM and 11:47 PM?\nAnswer: 655","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) be the first derivative of 4*m**5\/45 + 52*m**4\/3 + 10816*m**3\/9 + 281216*m**2\/9 - 1069. Let b(l) = 0. What is l?\nAnswer: -52, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*y**5 - 14*y**4 - 20*y**3 + 32*y**2 = 0. Calculate y.\nAnswer: -2, 0, 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 448.01 + -443. Let u = 5.6 - v. Which is the second smallest value? (a) 4\/5 (b) -0.3 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3684020 to the power of 1\/5, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (44\/16)\/(85\/340)\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 1 v when two letters picked without replacement from {v: 1, x: 1, m: 6, n: 1, z: 1, w: 1}.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 13 - -43. Let u = 32 - d. Let b(q) = -2*q**3 + 8*q + 9. Let l(k) = -k - 1. Let m(w) = u*l(w) - 3*b(w). What is the first derivative of m(t) wrt t?\nAnswer: 18*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -u**2 - u - 22. Let x be o(-10). Let g = -22 - x. Is -28*((-11043)\/g)\/(12\/10) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (39 - 151)*2\/(-2). Suppose 3*u + 16 = 4*u. Calculate the greatest common divisor of u and m.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 3 = 23. Let w be (h\/10)\/((-48)\/(-150))*-4. Solve 4*k + 0 = 2*z + 6, -2*z + 30 = w*k for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*p = 16*p - 75. Solve -p*a = -a - 10 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-3*55\/60*(-8)\/(-2))\/(-6)\nAnswer: 11\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 4*m**2 - 20*m - 95. What is the tens digit of n(22)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = -3*u + 15, x = -3*u + 2*x + 19. Suppose -4*l + l = -4*s - 1, -l = 5*s - 13. Solve -2*a = 5*r + l - 13, 5*a + 3*r = u for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2.8, 4, -3\/8, -0.4 in increasing order.\nAnswer: -0.4, -3\/8, 2.8, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 85 is divided by 44.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) be the first derivative of s**4\/4 + 2*s**3 - 4*s**2 - s + 5. Let z be j(-7). Suppose 4*r = 2 + z. What is the remainder when r is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(-2))**(-9\/2)*(m**(-1\/2)*m)**(26\/5))**(1\/2) assuming m is positive.\nAnswer: m**(29\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -438 + 1313 + 9644*y - 433 - 442 to the form u*y + d and give u.\nAnswer: 9644","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -0.4 (b) -100 (c) -4 (d) 55 (e) 0.099\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve p**3\/2 + 270*p**2 - p\/2 - 270 = 0.\nAnswer: -540, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -21d8 - 2?\nAnswer: -21da","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -632498, -2530122, -5692872, -10120748, -15813750, -22771878, -30995132?\n\"Answer: -632563*t**2 + 65*t","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 60673968 and 432.\nAnswer: 432","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10 - 119 - 6*k + 15*k + 27 + 10 + 72.\nAnswer: 9*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) be the second derivative of -5*w**7\/42 - 5*w**6\/6 - 5*w**5\/2 - 25*w**4\/6 - 25*w**3\/6 - 5*w**2\/2 + 17*w. Factor y(m).\nAnswer: -5*(m + 1)**5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1*(1 + -3 + 1). Let g = 123 + -122.9. What is the closest to g in -0.2, p, -2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4 * 7.6.\nAnswer: -30.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (0 - -2) + -64 + 63. Let r = -67 - -45. What is the tens digit of (-4 - r) + (-3 - l)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 - (4\/(-6))\/(34\/(-57))\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -d. Suppose -40 = 13*l - 8*l. What is c(l)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = n**3 - 8*n**2 + 62*n + 95. List the prime factors of j(23).\nAnswer: 2, 3, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 459 minutes after 5:30 PM?\nAnswer: 1:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -3*q + 1. Let k(y) = y**2 - 9*y - 14. Let u be k(10). Let l(g) = -g - 9. Let f be l(u). Let z(w) = 2*w - 1. Determine f*z(a) - 4*v(a).\nAnswer: 2*a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -9009 + -7824. Let n = 34733 + m. What is n rounded to the nearest 1000?\nAnswer: 18000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 83*l - 1467 + 728 = 755. Solve -n - 13 = 5*y, 17*n - 7 = 2*y + l*n for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -y + 12. Calculate the least common multiple of 18\/30*(1 + 37 + -3) and k(6).\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i = 5*g - 5, -5*g + i - 10 = -0*i. Let y(p) = -11*p**2. Let s(n) = 4*n**2. What is g*y(l) - 8*s(l)?\nAnswer: l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2*(19\/2 + -1) is divided by (-3 + 2)\/((-1)\/9)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8201 (base 9) to base 8\nAnswer: -13553","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -435 = 469*v - 498*v. Calculate the greatest common factor of 115 and v.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2400432 and 80?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.083 at most as big as 2336467?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -1260*d**2*w - 817095*d**2 - 436*w**3 wrt w?\nAnswer: -1260*d**2 - 1308*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -73*h + 2964 + 1416 = 0. What is the remainder when 119 is divided by h?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -236985, -5, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 305*y**3 + 56*y**2 - 47*y - 1854. Let j(q) = -101*q**3 - 20*q**2 + 16*q + 618. Let v(s) = 5*a(s) + 14*j(s). Find the first derivative of v(m) wrt m.\nAnswer: 333*m**2 - 11","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-3)\/9 + 12\/9. Suppose q + x - 8 = 0. List the prime factors of q.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21 + 24 = 15*d for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4857 is divided by 1210?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*w - 5*w + 132000 = 0. Round w to the nearest ten thousand.\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 25 - 27. Let b be (15 - (q - -5)) + 3. Suppose -5*g = -b - 10. Calculate the highest common factor of 15 and g.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -64\/15825 and 17\/45576.\nAnswer: 1139400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (15375 - 4*w**3 - 2*w**2 - 30392 + 15253)*(-5*w + 5*w - w) in the form h*w**2 + n + l*w + u*w**4 + x*w**3 and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = f + 3. Let n be y(6). Let i = -13 + n. Let g = i - -6. What are the prime factors of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 175*m**3 + 31*m**2 + 8. Does 19 divide t(4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 25 (b) -3 (c) 4 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 380\/25*(-6)\/536. Let i = 2\/67 - s. Which is the smallest value? (a) -3 (b) -2 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1652 = 15*f - 2428. Calculate the smallest common multiple of f and 128.\nAnswer: 2176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**8\/(q\/(q\/(q\/q**(-2)))))\/((q**(-5)\/q)\/(q*q**(-8))))\/(((q*q**(1\/9))\/q)\/q**(2\/9)*(q\/q**(-1\/2))**(-6\/35)) assuming q is positive.\nAnswer: q**(1376\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 4 - 3 + 2 - 4*a. Let m = 11 + -8. Let z(r) = 9*r - 7. Give m*z(u) + 7*l(u).\nAnswer: -u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*i + k + 5, -k = 3*i + 2 - 11. Suppose 3*c - 15 = 2*h - 3*h, -c + 12 = -i*h. What are the prime factors of c?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*z - 32 = z. Let q(y) = 12*y + 18. Let i(g) = -g - 2. Let p(w) = z*q(w) + 18*i(w). Let j(m) = 3 - 3 + 2*m. Determine p(j(t)).\nAnswer: 12*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2584371 to the nearest integer?\nAnswer: 137","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.052 + -2.052. Let l = -468\/1195 + -2\/239. Which is the closest to l? (a) h (b) -1 (c) 2\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 8 and 2039066?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/10)\/(832\/4096*16)?\nAnswer: 2\/65","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + -2*-6*sqrt(44)\/sqrt(4))**2.\nAnswer: 24*sqrt(11) + 1585","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1 + -1 - 2122\/176. Let t = -95\/8 - c. Calculate the common denominator of t and -1\/6.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2677*s + 2675*s + 12 for s.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -h + 1. Let a be c(-1). Suppose 0 = 5*s - 2*j - 46, 5*s = -a*j + 66 - 12. List the prime factors of s.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 5, -2, -43, -1, 9, 0 in descending order.\nAnswer: 9, 5, 1, 0, -1, -2, -43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 198?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 230312222221113 + 2?\nAnswer: 230312222221121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -22047, -44089, -66131?\n\"Answer: -22042*x - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 8185989229 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/195, 2, 5 in decreasing order.\nAnswer: 5, 2, 2\/195","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*a + 5*a + 564 = 0. Let p = a - -80. Calculate the common denominator of (p\/84)\/(-1) - -2 and -74\/27.\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -1591, -3182, -4773, -6364, -7955?\n\"Answer: -1591*z","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = l - 16. Give d(7).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*f - 787*q + 788*q + 22 = 0, 3*f - 2*q = 9 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4 - 0) + (-4 - (-818)\/74) + -3?\nAnswer: 2\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 1 (b) -2 (c) 39.8 (d) -2\/105 (e) -20\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -260.1012 to the nearest 100.\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + z**2 - 4)*(1285 + 180*z**3 - 1285).\nAnswer: 180*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 2328.1 + 33393416\nAnswer: 33395744.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is t in -t**5\/2 + 401*t**4\/2 + 8805*t**3\/2 + 23999*t**2\/2 + 11596*t + 3798 = 0?\nAnswer: -18, -1, 422","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:41 PM and 8:31 PM?\nAnswer: 470","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -3*h**3 - 6*h. Let l(m) = -4*m**3 - 7*m. Let j be (-60)\/9 - (1 + 6\/(-9)). What is j*v(o) + 6*l(o)?\nAnswer: -3*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1715\/11 or 155?\nAnswer: 155","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Add 7730 and 12.\nAnswer: 7742","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -163*y**4 - 20*y**2 - 12*y**2 + 66 + 37*y**2 - 5*y**2 wrt y.\nAnswer: -652*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -37.613 - -0.913. Let i = m + 37. What is the closest to -0.1 in -2, -0.07, i?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 68 + -262?\nAnswer: -1b6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 142 - 103. Does t = 119\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 6184 - 6179. Calculate the smallest common multiple of r and 675.\nAnswer: 675","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3727038155 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -4*h**2 - 6*h. Let v(n) = -n**3 - 10*n**2 - 24*n - 12. Let a be v(-7). Let l(z) = -10*z + a*z - 3 - 1 + 4 - z**2. Determine -11*l(s) + 2*y(s).\nAnswer: 3*s**2 - s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express s - 6233*s**2 - 3 - 6227*s**2 + 12443*s**2 - 2*s**3 as p*s + k + t*s**2 + d*s**3 and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(2\/55)*d**17\/d*d*d**12*d*d*d**(1\/24)*d)**(3\/4) assuming d is positive.\nAnswer: d**(42343\/1760)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -30, 3, 118.\nAnswer: -30, 3, 118","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + sqrt(38)\/(sqrt(32)*2) + 1.\nAnswer: sqrt(19)\/8 + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 2*f**2 - 13*f - 3. Let q be k(7). Suppose -v = -2*n - 39, 0 = q*n - 8. Is v a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 40981423?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 650 divided by 65\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -25*s + 6. Let p(u) = -874*u + 209. Give -209*i(v) + 6*p(v).\nAnswer: -19*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1\/((-6)\/(-215)) + 2\/12. Let j(o) = -2*o**3 + 63*o**2 - 27*o - 84. Let z be j(31). Calculate the greatest common divisor of z and y.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8\/5*f**2 + 2\/5*f**3 - 4\/5 + 2*f = 0 for f.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.005116 millilitres in litres?\nAnswer: 0.009005116","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 4\/717 and 16\/289869?\nAnswer: 69278691","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*j**2 + 85*j + 85*j + 4*j**2 - 177*j in the form u*j + o + c*j**2 and give c.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-4)\/(-12)*(1 + 11). Let d be (l\/2)\/(-2)*-24. Calculate the lowest common multiple of (d - 2)\/1*1 and 2.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -288*t**3 - 62 wrt t?\nAnswer: -864*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/(v*v*v\/(v**(2\/5)\/v)*v*v*v*v))\/(v\/(v**(-2\/15)\/v)))**(-3\/16) assuming v is positive.\nAnswer: v**(131\/80)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0018854396 to five decimal places.\nAnswer: -0.00189","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42 = -3*q + 6*k, 0 = -4*q + 3*k + 35 - 9 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + 5 + (sqrt(10) + 2*sqrt(640))\/(3*sqrt(8)\/sqrt(4)) + (sqrt(45)*2*1)\/(sqrt(36)\/(sqrt(4)*2)).\nAnswer: 2 + 29*sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(1\/10))**(-2\/49)*(b*b\/(b\/b**(2\/15)))\/b*b*b*b\/(b**(-6\/5)*b))**(-25) assuming b is positive.\nAnswer: b**(-12235\/147)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 26*f + 55 + 8*f - 7*f**2 - f**3 - 23*f. Let s be h(-10). What is the highest common divisor of 49 and s?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*z - 40*z + 28*z.\nAnswer: -5*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -5 (b) 32 (c) 3 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = 10, -6*z + 10*z - 20 = 3*b. Solve -3*q - 2*u + 2 = b, -3*u + 6 = -q + 25 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 1\/2, 197, 0.4?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 70 a factor of 437780?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 136283*h - 68141*h - 68141*h. Let a(c) = 19. Let g(x) = -x + 58. Let n(u) = -11*a(u) + 4*g(u). Give n(l(m)).\nAnswer: -4*m + 23","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 50706894383 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 24338 - 23122. Calculate the least common multiple of 1672 and y.\nAnswer: 13376","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 = 2*v + 3*v - 4*o, 3*v + 4*o = -6. Let u(k) = -2 + 9 - 8 + 4 - 1. Let g(n) = n**2 - 1. Give v*u(d) + 3*g(d).\nAnswer: 3*d**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 73033.18s in microseconds?\nAnswer: 73033180000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -68558.369 + 68591. What is p rounded to 1 dp?\nAnswer: 32.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -24 - -105433125?\nAnswer: 105433101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/(i\/(i*i**(-1\/3)*i)))**(6\/25)\/(i**(-1)*i)**(-16) assuming i is positive.\nAnswer: i**(2\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -n**2 - 1. Let x(d) = 3*d**2 + 6. Let c(w) = 4*o(w) + x(w). Suppose -u = 3*f - 2*u, -f = -4*u. Give c(f).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.1008676876 + 444.724.\nAnswer: 444.8248676876","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*u - u - u)*(-3 - 2*u + 3 + (1 + 1 + 0)*(u + 0*u + 3*u)).\nAnswer: -12*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 71 minutes before 7:31 PM?\nAnswer: 6:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of -17*42\/(-306) - (-122656)\/6?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -646541*d**3 - 2*d - 6206336 wrt d.\nAnswer: -1939623*d**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 170737117 to the nearest integer?\nAnswer: 13067","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -604 + 1989. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 183159 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3198 - 3143 = 11*r for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 12750 = 5*d, -5*u = -4*d - 2827 + 13063. List the prime factors of d.\nAnswer: 2, 1277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = m**3 + 7*m**2 - 2*m - 14. Let v be d(-7). Suppose -3*j - 15 = v, -2*q + 4*j + 654 = -0*q. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + d + 159 = 4*z, 5*z + 3*d = 143. Calculate the remainder when z is divided by 7.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-69 - -15)\/9 - -1.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) be the first derivative of -3*m**5\/5 + 14*m**3\/3 + 6*m**2 - 3*m + 47. What is the second derivative of y(o) wrt o?\nAnswer: -36*o**2 + 28","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -k**3 - 4*k**2 - 2*k - 6. Let z(u) = -6*u - 8. Let w(v) = 2*v + 13. Let q be w(-10). Let o be z(q). Suppose 0 = -5*b + 14 - o. Calculate i(b).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1054 to the power of 1\/3, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 198, 192, 186, 180?\nAnswer: 174","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1.1 + 1.3. Let i = 0.95 + 0.15. Let h = i - 1.4. Which is the smallest value? (a) -1 (b) p (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nne when three letters picked without replacement from {n: 10, e: 1, y: 6}.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*q = -6 - 138. Let i = q + 28. Solve -3*k = i*f - 0*f - 12, 0 = -3*k - f + 3 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 u when three letters picked without replacement from fffffffffufffffffff?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = p**3 - 34*p**2 - 242*p + 82. Let y be z(40). Let h(s) = -s + 2. Let g be 3\/(4 + -3) + -8. Let l be h(g). Solve 13 = y*r + l for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1337047 is divided by 89135?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -7 + 13. Let t(a) be the second derivative of -f*a + 10*a**2 + 3*a**3 - 2*a**3 - 13*a**2. Differentiate t(s) wrt s.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = -4*x - 4*g, 4*g - 14 = -5*x + 14. Let w be (8 - x) + -8 + 219. Suppose -n - 139 + w = 0. What is the tens digit of n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -15*r. Let h(a) = 1604*a - 2. Determine g(h(m)).\nAnswer: -24060*m + 30","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 31\/4518 and 3\/78339610.\nAnswer: 705056490","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -2*d**3 + 3*d**2 - 3*d. Let z be a(2). Is (-242 - (-2 - (-5)\/z))*-2 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*t + 3*t + 26*t.\nAnswer: 27*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2001*f**6 - 171*f**2 + 1 wrt f?\nAnswer: -240120*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 272093 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -i**2 + 18*i - 11. Calculate r(20).\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) be the second derivative of 0*p**3 + p + 0 + 7\/12*p**4 + 1\/2*p**2. What is the units digit of y(-1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -b. Let u(m) = -7*m + 3. Let p(w) = -w**2 + 367*w + 2999. Let j be p(-8). Give j*u(h) + 3*i(h).\nAnswer: 4*h - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -5 + -4 + 10 + -2\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*i + 2*i + 2*i)*(-4 + 3 - 1)*(-11*i - 2*i - 3*i).\nAnswer: 32*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) be the first derivative of -r**4\/4 - 4*r**3 - 5*r**2 + 11*r - 2. Let o be b(-11). Solve c - 5 = -o*c for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 18\/14*(-5)\/15\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -2*f**3 + 3*f**2 - 3*f. Let i be m(2). Let u(p) = -p**3 - 5*p**2 - 5*p - 4. Let k be u(-5). Let o = i + k. Does 5 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 56861*h*x**2 + 6*h*x - 39*h + 2*x**2 + 2*x - 41041 wrt x?\nAnswer: 113722*h*x + 6*h + 4*x + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -6*a**2 + 9 - 10 + 2*a - 2*a**2. Calculate y(1).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) be the second derivative of -2\/3*y**3 + 0 + y**2 - 1\/6*y**5 - 7\/12*y**4 + 2*y. Let m(a) be the first derivative of w(a). Factor m(g).\nAnswer: -2*(g + 1)*(5*g + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -q + 2*q - 15 - 5*q + 5*q. Determine y(10).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2334 - -14135. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 1, e: 1, p: 1, m: 1, k: 1}. What is prob of sequence mu?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 2, g: 3, q: 11, e: 3}. Give prob of picking 2 e.\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1215 and 1145.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -2, 1, -9, -10 in descending order.\nAnswer: 2, 1, -2, -9, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1 + 2. Suppose r*y + p = 71, -4*y - 2*p + 94 = -p. What is the tens digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-11 - (-9 + 5 + -7)) + 3\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 1, p: 3, m: 3, w: 4, h: 2, r: 3}. What is prob of sequence hwwm?\nAnswer: 3\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(243) + 3 + (sqrt(243) + 1 - sqrt(243)))**2.\nAnswer: 72*sqrt(3) + 259","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 2 = 2*q, -10*p + 3*q + 3 = -11*p. Let k(t) be the first derivative of -5 + p*t**2 + 0*t + 1\/12*t**3. Determine a, given that k(a) = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) be the second derivative of o**7\/105 + 7*o**6\/75 - 11*o**5\/50 - 19*o**4\/30 + 38*o**3\/15 - 16*o**2\/5 + 74*o. Factor a(n).\nAnswer: 2*(n - 1)**3*(n + 2)*(n + 8)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2339 is divided by 78?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let 0 + 1\/7*b**4 + 1\/7*b**3 + 0*b + 0*b**2 = 0. What is b?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2.2 in -1, -0.4, -0.5, -5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 1 i when two letters picked without replacement from xwlirwxlrrlwlwrrrryw?\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = h**3 - 4*h**2 - h + 6. Let k(l) be the third derivative of -l**4\/8 + 4*l**3 - 38*l**2. Let v be k(7). Let b be o(v). Is b < -9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/9? (a) 0.36 (b) -4 (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 44413108 to the nearest integer?\nAnswer: 6664","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 1, d: 6, i: 2, s: 1, m: 5, b: 2}. What is prob of sequence db?\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k - 2 = 7. Let j = 1 + k. List the prime factors of -3 + 2 - j*3.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 9*m**2 - 25*m + 7. Let c = 314 - 322. What are the prime factors of z(c)?\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 33856 to the power of 1\/2, to the nearest integer?\nAnswer: 184","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -d**2 + 254*d - 16129.\nAnswer: -(d - 127)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -3.2 and 0.47.\nAnswer: -1.504","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -57, -124, -191, -258, -325, -392?\n\"Answer: -67*m + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 2*y**3 + 7*y**2 + 14*y - 9. Let w(b) = b**3 + 3*b**2 + 6*b - 4. Let u(i) = -7*w(i) + 3*x(i). Let o(k) = 5*k**3 - 8. What is -o(p) - 3*u(p)?\nAnswer: -2*p**3 + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 23755*z**5 + 2*z**4 - z**3 - z**2 + 179*z + 1?\nAnswer: 1425300*z**2 + 48*z - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = h. Let g(q) = 1536*q. Calculate z(g(d)).\nAnswer: 1536*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -14 - -5086428?\nAnswer: 5086414","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 739764 to the power of 1\/2, to the nearest integer?\nAnswer: 860","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -34 + 50. Suppose -4*f + n + 16 = 0. Solve b - m - 6 = 4*b, f = -4*b + 5*m for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 11397277?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.138 and -7.2711?\nAnswer: 1.0034118","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t - m = 44, 0 = -4*t + 104534*m - 104532*m + 90 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -12 (base 15) to base 10\nAnswer: -17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 856562139?\nAnswer: 3, 1129, 84299","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 23\/121 and -119\/6?\nAnswer: 726","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 297 + -147. What is the highest common divisor of v and 30?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 58727 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 less than 1098\/5629?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.06 + 8.06. Let g = z + -7.6. What is the smallest value in 5\/2, g, 0.6?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*f**4 + 412*f**3 - 3*f**2 + 119282.\nAnswer: -8*f**3 + 1236*f**2 - 6*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 186943 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 1 = -7. Let t = -23714\/15 - -7908\/5. Which is the closest to t? (a) 5 (b) -0.1 (c) z (d) 10\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4 + -4 - 3) + -7 - (-1464 - -1421).\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.55 and 1480.\nAnswer: 1479.45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-552)\/33*429\/156.\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*y = 21 + 14. Solve -y + 3 = o for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -150921\/4 - -1056455\/28. Suppose s*a**4 + 22\/7 + 4*a**3 + 68\/7*a + 72\/7*a**2 = 0. Calculate a.\nAnswer: -11, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 691 + -686. Let n(t) = -t**3 + 5*t**2 + 4*t - 6. Let i be n(5). Suppose d - i - w = 0. What is the remainder when d is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = u - 0. Solve -3*o + 4 = -u*a + 14, -5*o = -a + 24 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -45 (b) 0 (c) -1 (d) -1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 22259, 22502, 22757, 23030, 23327, 23654, 24017?\nAnswer: 24422","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 66206143?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1255604316.\nAnswer: 2, 3, 23, 4549291","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 18602696 and 308?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + (-2 - 2) + 0?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 59*r**3 - 4*r**2 + 4*r - 4. Let c(m) = 6077*m**3 - 413*m**2 + 413*m - 413. Determine 413*a(l) - 4*c(l).\nAnswer: 59*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -3*(-6)\/9*-1. Let n be -273*l\/15 - (-4)\/(-10). Let f(r) = 6*r - 6. Let s be f(4). What is the greatest common factor of s and n?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-3)\/6 + 6\/2)*194 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 131\/756 and 49\/5409.\nAnswer: 454356","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -9492, -4, 5 in decreasing order.\nAnswer: 5, 1, -4, -9492","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -r**3 + 8*r**2 + 15*r - 1. Give i(9).\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*l + 983 - 970 = 3*n, 4 = n - 2*l for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -69\/4 + 1773\/100. Find the common denominator of 29\/25 and o.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 460*x**3 + 5*x**4 + 411710*x**2 + 3553245 - 1308781*x + 3702901*x + 1630*x**3 + 750*x**3.\nAnswer: 5*(x + 3)**2*(x + 281)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + (8 + -11 - (1 - -1)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - (-2 + 2)) + 10 + -8.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 908 + -922. Which is the nearest to 0? (a) 0.1 (b) 2\/7 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/5 in 0, -10, 4, 3\/100, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-25)\/(-10)*3\/(45\/84). Suppose 3*g = 4*g - 4. Find the first derivative of 13 - n*o**3 + o**3 - g wrt o.\nAnswer: -39*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4, -16, -64, -152, -292, -496?\nAnswer: -776","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42 = -14*s + 28. Suppose 0 = -3*o - 6, 372 = 2*x - 4*o + s*o. What is the tens digit of x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w + 82 + 122 = 0. Is 16 a factor of (w\/(-6))\/((-2)\/(-12))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -m + 11. Let c(d) be the third derivative of -d**4\/24 - 5*d**3\/6 + 4*d**2. Calculate the lowest common multiple of m and c(-7).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(432) + 1)*5)**2.\nAnswer: -1200*sqrt(3) + 43225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = m - 15. Let o be z(13). Let j = 5.5 + -9.4. Let g = 0.1 - j. Sort o, 0.3, g in decreasing order.\nAnswer: g, 0.3, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 679 minutes before 5:07 PM?\nAnswer: 5:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 1939*o**2. Let w(b) be the second derivative of -b**3\/3 - 10930*b. Calculate w(x(z)).\nAnswer: -3878*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 77\/63 + -1 + (-7680)\/29376?\nAnswer: -2\/51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 0*x - x**4 + 239*x**2 + 11*x + 35*x**3 - 240*x**2 wrt x?\nAnswer: -24*x + 210","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 77435 to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21924 is divided by 160.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -13411 + 13154. Which is greater: q or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 24 (base 6) in base 9?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xxuxxxxxuuxxuuxxxxxx. Give prob of sequence xx.\nAnswer: 21\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -4777, 0.33.\nAnswer: -4777, 0.33, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 1 o when two letters picked without replacement from xtvovovxwvwvawww.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 513527051 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -1039, -6, 5, -7.\nAnswer: -1039, -7, -6, -2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -8*w**3 + 7*w**2 - 11*w - 1. Let a(t) = t**3 - t**2 + t + 1. Let y(o) = -6*a(o) - l(o). List the prime factors of y(2).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -b**2 + 8*b - 7. Suppose 2*z = -4*z + 36. What are the prime factors of k(z)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 92.38211ml to litres.\nAnswer: 0.09238211","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 7, h: 9}. Give prob of picking 2 e.\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + v = -12 + 73, -3*o + 5*v = -175. Let q(p) = -7 - 18*p + o*p + 5. Let j be q(1). What is the greatest common divisor of j and 16?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-4)\/(-7) - 323858\/(-791). Calculate the greatest common divisor of i and 20.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 485.9 + -486. Let z(a) = -a**3 - 4*a**2 - 4. Let n be z(-4). What is the third smallest value in 5, n, 0.1, x?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-5)\/(-1))\/(10*3\/6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -41 + (-2 - (0 - 4)) + (-10683 - -10696)?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 20*w**2 + w + 36. Let g(c) = -30*c**2 + 11*c**2 - 72 - 2*c - 20*c**2. Let n(a) = -2*g(a) - 5*t(a). What is the second derivative of n(i) wrt i?\nAnswer: -44","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.02445000771 rounded to 4 decimal places?\nAnswer: 0.0245","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (4 + (-168)\/45)\/((-2)\/6). Which is the biggest value? (a) 1 (b) -6\/7 (c) q (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 3\/(-12)*-2*(-16)\/(-4). Suppose -3*q + 275 + 474 = -5*o, -721 = -3*q - p*o. Is 42 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3748.3 + -3748. Put w, 5, 9, -59 in decreasing order.\nAnswer: 9, 5, w, -59","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(24)*2*-4 + -3*-2*sqrt(24))\/((2*sqrt(968) - sqrt(968)) + sqrt(40)\/sqrt(45) + sqrt(8)).\nAnswer: -6*sqrt(3)\/37","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -82460, -329883, -742274, -1319633, -2061960, -2969255, -4041518?\n\"Answer: -82484*b**2 + 29*b - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -1302, -1369, -1454, -1557, -1678, -1817?\n\"Answer: -9*v**2 - 40*v - 1253","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 4de (base 16) to base 13\nAnswer: 74b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 6*m - 5*u - 5 = 0, 4*m - 3*u - 3 = 0. Let k be m - 7\/(63\/(-6)). Suppose 0 + 2\/3*a**3 + 0*a**2 - k*a**4 + 0*a = 0. What is a?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15718.\nAnswer: 2, 29, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (c + 10*c**2 + 4*c + 414 - 417)*(-4*c + 4*c + 8*c**2) to the form a + p*c**3 + l*c + d*c**2 + g*c**4 and give d.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:04 PM and 9:51 PM?\nAnswer: 167","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4*f**2*u**3 + 15*f*u**3 - 22*f*u + 5*u**3 + 31145*u**2 wrt f.\nAnswer: 8*f*u**3 + 15*u**3 - 22*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 180615 and 1685740.\nAnswer: 5057220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34*a + 115753 = 115855. Let d(v) = -3*v**2 - v - 3. Let x(z) = 4*z**2 + z + 4. Give a*d(c) - 2*x(c).\nAnswer: c**2 + c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0180769491 to 4 decimal places.\nAnswer: -0.0181","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2999?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(-6*(4 + (sqrt(1900) - ((-2*sqrt(1900))**2 + sqrt(1900)))) - (-1 + (sqrt(1900) + 1)**2 + 2))*2 + 4.\nAnswer: -87344 + 40*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 1 v when two letters picked without replacement from {v: 2, u: 5, h: 1, x: 1}.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by -466.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) be the third derivative of 146*r**5\/45 + 77*r**4\/18 + 4*r**3\/9 + 2792*r**2. Factor w(p).\nAnswer: 4*(2*p + 1)*(73*p + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -175440, -175311, -175182?\nAnswer: -175053","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 8, m: 2, s: 2, y: 2, c: 1}. Give prob of picking 2 y, 1 h, and 1 c.\nAnswer: 8\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) be the second derivative of -1\/14*x**7 + 0*x**6 + 0*x**2 + x + 0 + 0*x**5 - 1\/3*x**3 + 0*x**4. What is the second derivative of a(m) wrt m?\nAnswer: -60*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1, -1, 5\/2, -3, 0.4, -8\/57147?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qk when two letters picked without replacement from qkttqdaz?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a + 68*w + 15 = 69*w, 4*a - 2*w = -10 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -m**2 - 29*m - 9. What are the prime factors of y(-11)?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = -3*z - 19 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -100, -6, 2 in decreasing order.\nAnswer: 3, 2, -6, -100","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 84*o**3 + 55*o**2 - 2*o + 24331 wrt o?\nAnswer: 504*o + 110","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/(j**(-1\/2)\/j))**(1\/23)*j**4\/(j*j**6)*(j\/(j**(-6)*j)*j\/j**0*j*j*j*j)\/(j*j*j**(-2\/5)*j*(j**(-5)*j*j)\/j) assuming j is positive.\nAnswer: j**(2187\/230)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9853*c + 19413*c - 28*c**2 + 84*c**2 - 9560*c + 84*c**2.\nAnswer: 140*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -51408*s**2. Let j(a) = -2*a. Give j(v(r)).\nAnswer: 102816*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d**2\/8 + 265*d\/8 + 269\/2 = 0. What is d?\nAnswer: -4, 269","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -45016, -44553, -43774, -42673, -41244, -39481?\nAnswer: -37378","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -43 - -43. Factor s + 0*p - 2\/5*p**3 + 2\/5*p**2.\nAnswer: -2*p**2*(p - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 178, 709, 1596, 2839, 4438, 6393?\nAnswer: 8704","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 6 = f - 12, -3*f + a = -8. Solve -f*x = 4*y - x - 25, -5*x = -3*y - 10 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000012195 to 7 dps.\nAnswer: -0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vs when two letters picked without replacement from mammlommsvmams.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l + 14 = k, -7*k + 2*k + l = -46. Suppose -3657 = -k*q + 15. Suppose 44*y = 48*y - q. What is the hundreds digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -188*s - 221*s - 140*s - 50*s + 46*s in the form x*s + w and give x.\nAnswer: -553","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 165 = -4*i. Let m = i - -60. Put m, 2, -5, 6 in decreasing order.\nAnswer: 6, m, 2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = 2, -627 = -c + 3*h - 223. Calculate the greatest common factor of 50 and c.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 19332, 40344, 61356?\nAnswer: 82368","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6821?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -899 + 898. Let x = -19 + 20. Let q = 1 + -4. What is the fourth biggest value in x, 0.2, q, m?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*p*r**5 + 52*p*r**3 - 32064*p*r - 17*r**5 wrt r.\nAnswer: 40*p*r**3 + 312*p*r - 340*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2476*r**3 - 15648*r**2 - 327825954.\nAnswer: -7428*r**2 - 31296*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 11445113021 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -55 = -5*r + 2*o, -2*r + 3*r + 1 = -2*o. Suppose -r*k - 7 = -70. Is (-337)\/((-1)\/k - (4 + -4)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = 2*d + 1, w + 6 = 3*d + 15. Let c = -3 - d. Which is smaller: c or -1\/31?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4? (a) -4 (b) -6 (c) 0 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -7 + 2 - 1 + 2*x + 1 in the form q + j*x and give q.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -3*a + 368. Calculate the remainder when n(24) is divided by 30.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 667, 702, 759, 838, 939, 1062?\n\"Answer: 11*o**2 + 2*o + 654","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18*m - 744*m - 410*m - 312*m - 317*m.\nAnswer: -1801*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) be the third derivative of a**5\/60 - 3*a**4\/4 + 9*a**3\/2 + 18*a**2. What is the tens digit of o(22)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 16301, 32582, 48863, 65144?\n\"Answer: 16281*u + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -5\/4 (b) -1 (c) 7 (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 0 (b) -0.4 (c) -1\/36 (d) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -202577, -204650, -206723, -208796, -210869, -212942?\nAnswer: -215015","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = g + 1. Let b(c) = -5*c + 1. Let z(i) = 4*i - 3. Let x(t) = 6*b(t) + 5*z(t). Suppose -3*d = -0*d + 9. Let u = d + 5. What is u*x(w) + 18*y(w)?\nAnswer: -2*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -f (base 16) in base 2?\nAnswer: -1111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -j. Let k be h(-3). Let t(i) = i**3 - 2*i**2 - 4. Let g be t(k). Let b = 0.38 + -0.48. What is the nearest to b in -3, 2, g?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k + 3*u + 16 = 7*u, -4*k + u = -3 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 1, n: 1, m: 4, p: 1, l: 3, e: 2}. Give prob of picking 1 l and 1 p.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 292531 is divided by 145488.\nAnswer: 1555","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.07766 + 652.71234. What is r rounded to the nearest 10?\nAnswer: 650","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = -2*l. Solve o + 3 - 1 = -3*n, l = o + 4*n + 2 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1078 is divided by 18?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 - 1 = -o + z, -o - z + 2 = 0. What is the units digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*d + 340*d + 8*d + 14*d - 382*d + d + 10*d.\nAnswer: -3*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 198\/(-616)*14\/12.\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d**(1\/4))**(-4\/25)*d*d**6\/d*(d*d**4*d)\/d assuming d is positive.\nAnswer: d**(54\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (sqrt(2) + -2*(sqrt(50) - sqrt(2))**2 - sqrt(2) - sqrt(14)\/sqrt(343)).\nAnswer: -66 - sqrt(2)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 3 = -0*z + 2*r, -3*z - 3*r = 0. Let g be -5*(6\/(-15))\/z. Let m = -2 - -1.9. What is the third biggest value in m, g, 0?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.7953079l to millilitres.\nAnswer: 795.3079","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -l**2 - 11*l - 13. Calculate a(-9).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 36 is divided by (-9 - 41)*(-4)\/10.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s - 44 = -0*i - 3*i, -2*s = 4. Suppose y + 2*h + 24 = 5*y, 5*y - i = -2*h. Solve 7*r - y*r + 15 = 0 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1 - -4. Suppose -c - 4 = v*c. Suppose 7*g - 2 = 8*g. Which is bigger: c or g?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2599*c + 4*c**2 + 2962*c + 2576*c - 8137*c.\nAnswer: 4*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 561511?\nAnswer: 487, 1153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*t + 1 + 3 = 2*m, -3*t - 6 = 4*m for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in -38, 1, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 62 = 3*y, 25 + 33 = 3*y + 2*p. Suppose 4*k = 2*z - 44, 0 = 3*z + 2*k - 5*k - 51. Calculate the lowest common multiple of z and y.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 minus -1282321.64?\nAnswer: 1282314.64","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(-2\/7))**43)**(15\/8) assuming q is positive.\nAnswer: q**(-645\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-4)\/15)\/2*(-70)\/21. Let m be (-9)\/27*4\/(-6). Factor -2\/3*l**2 + m - k*l.\nAnswer: -2*(l + 1)*(3*l - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8825166619 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000106887 to 6 dps.\nAnswer: 0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 19801704 and 728.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:15 AM and 11:43 AM?\nAnswer: 388","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 521 = 2953. Let d = -260 + s. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5.28 - -4.98. What is the third smallest value in z, 5, 0.5, -4\/27?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3903, 8.9, 9 in increasing order.\nAnswer: -3903, 8.9, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -20377, -20359, -20341, -20323, -20305?\n\"Answer: 18*h - 20395","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -1715500 to the nearest ten thousand.\nAnswer: -1720000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.13 in -2, 1, -8924?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 1\/10, 0, -0.16, -95?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -2\/11, 6, 36, 0.5?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 46\/5 of a litre?\nAnswer: 9200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1021022020 + 11?\nAnswer: 1021022101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 585541 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27 + 20*b**3 + 35 - 74.\nAnswer: 20*b**3 - 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:30 AM and 12:02 PM?\nAnswer: 572","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 9, 2, 0.2, -2\/7, 3, 430 in decreasing order.\nAnswer: 430, 9, 3, 2, 0.2, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 52 = v. Suppose 16 = 4*f, 2*m + 30 = -0*m - 5*f. Let d = m - v. Calculate the smallest common multiple of d and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2426 * -0.142\nAnswer: -344.492","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - 2 = -4. Let w be (-680)\/(-50) - (-2 + 39\/15). Suppose 5*q + j + w = 0, 4*q + j - d = -12. Sort -4, q, -1 in descending order.\nAnswer: -1, q, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 228842 is divided by 9934.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide -496979 by 12.\nAnswer: -496979\/12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 79 + -159\/2. Which is the second biggest value? (a) 5 (b) i (c) 0.01\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 5*((-222)\/(-105) - 2). Factor 0*j**2 + 2\/7*j**4 - 4\/7*j**3 + d*j - 2\/7.\nAnswer: 2*(j - 1)**3*(j + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -122011121 (base 3) to base 6.\nAnswer: -133541","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 878 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 5\/(-3) - 3\/9. Let k = -60 + 64. Let b be (k\/12 + -1)*(-45)\/(-6). Sort b, i, 1 in descending order.\nAnswer: 1, i, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -28 - -31. Suppose 7 = -4*y - l*g, 7 + 2 = -3*y - 3*g. Suppose 3*z = y*w + 4, 2*z - 2*w = w + 1. Solve 5*c = 5, 5*k - 2*c - 13 = z*k for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -k**5\/6 + k**3\/6.\nAnswer: -k**3*(k - 1)*(k + 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 91 divide 8372?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/(-2) - ((-60)\/(-42))\/1?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = -2*u + 13. Let s be (-6 - -7)\/((-1)\/(-34)). What is the remainder when 3\/(-3) + (s - -1) is divided by u?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.03 - 1.97. Let m = 13 - p. Let z = m + -12. What is the third biggest value in -1\/5, 0.2, z?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -p**3 - 5*p**2 - 3*p + 20. Let t be r(-4). Suppose 0*y = -t*y + 1856. Is y a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 29, -72, -159, -232, -291, -336?\nAnswer: -367","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -996*a**2 - 978*a**2 - 12 + 1969*a**2 - 72*a.\nAnswer: -5*a**2 - 72*a - 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 54522 (base 9) in base 12?\nAnswer: 18b02","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 21\/3664999 and 139\/1170.\nAnswer: 329849910","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j = -4*j. Suppose j = 4*r + 2 + 6. Let f = 98 + -96. Put 4, f, r, -8 in decreasing order.\nAnswer: 4, f, r, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -43\/114 and 3 - ((-6)\/304)\/((-37)\/5402)?\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ssossso. Give prob of picking 2 o.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 10738 and 8788286.\nAnswer: 1534","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = v + 4. Let p(q) = -13 + v*q + 14 - 2*q. Let i be p(1). Let x(o) = -2*o - 2. Give x(i).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2137816?\nAnswer: 2, 267227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -21 in 2\/1657, -4, 2, -1\/3, 1?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -26\/5 in 0, 5, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 28275 and 301600.\nAnswer: 904800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -468*m**3 - 98*m**2 - 193*m + 15. Is 9 a factor of x(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.4 (b) 1.8 (c) 8.78 (d) 1\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n - 5*k - 1126 = 0, 5*n + 2*k + 1728 = 312. Let c = 35 - n. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + 0 + (0 - 2) + -3.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -5*q**3 - 5*q**2 - 8*q - 4. Give m(-1).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 441220 and 3140?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -26*t**3 - 2*t**2. Let f(m) = 1508*m**3 + 117*m**2. Give -4*f(q) - 234*g(q).\nAnswer: 52*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = f**3 + 12*f**2 + 14*f + 4. What is the units digit of i(-10)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*m - 10*m + m**3 + 0*m - m**4 + 2*m**3 as x*m + l*m**4 + c*m**3 + a*m**2 + q and give x.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0 - -0.1. Suppose -4*n = t + 8, -2*t - 3*n + 5*n = -24. Let p be 0 - ((-15)\/t - -2). Which is the nearest to z? (a) p (b) -0.1 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 11, l: 1, s: 1, n: 3, x: 2}. What is prob of picking 2 x and 2 n?\nAnswer: 1\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 77*r - 72*r = 25. Let z(l) = 2*l**2 - l + 5. What is the units digit of z(r)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7099 to the power of 1\/2, to the nearest integer?\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 934601928 to the power of 1\/10, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -50.5 + -129.5. Let u = -178 - o. Let z = 46 - 139\/3. What is the third smallest value in z, 0.5, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine h, given that -h**5 + 7331*h**4 - 10767550*h**3 - 9784828422*h**2 - 1765251116865*h + 5384106936675 = 0.\nAnswer: -335, 3, 3999","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-32)\/224 - 232\/(-56). Let y(v) = 7*v + 12. What is y(n)?\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 52509272 or 52509274?\nAnswer: 52509274","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -83450.74239 to the nearest integer.\nAnswer: -83451","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 186 minutes after 7:25 PM?\nAnswer: 10:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/13, -0.055, -3.\nAnswer: -3, -0.055, 2\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 620232365 a multiple of 143?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 399 + -280. Let h = g + -19. Calculate the greatest common divisor of 250 and h.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = d**3 + 18*d**2 + 17*d + 18. Calculate the remainder when q(-17) is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -9*a + 3. Let p(w) = -5*w - 20. Let x(m) = 11*m + 45. Let f(q) = 9*p(q) + 4*x(q). Determine f(t(k)).\nAnswer: 9*k - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -292, -604, -918, -1234, -1552?\n\"Answer: -w**2 - 309*w + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 8892 != 8888?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/(-15)*26*(-500)\/(-530400)\nAnswer: 1\/102","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 3\/(-9)*-3 - 12. Let m = -11 - r. Let l be -1 - 1 - (-1 - m). Is l less than or equal to -2\/23?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, 3, -35, 1235, -201, 0 in descending order.\nAnswer: 1235, 6, 3, 0, -35, -201","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -3\/5, 0.3829, -1\/3, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4908618?\nAnswer: 2, 3, 11, 13, 1907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -41\/36 and 105\/57424.\nAnswer: 516816","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) be the second derivative of 5*p**3\/6 - 3423*p**2 + 31*p. Let y be r(0). List the prime factors of y\/(-49) + 3\/((-21)\/(-2)).\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1\/1141, -2\/31, 0.1, 10?\nAnswer: -1\/1141","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3146333 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*x**2 + 0*x**2 + 7*x**2 - 3*x**2 + 2*x**2.\nAnswer: 4*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-82)\/(-205))\/((-2)\/(-5))*1*-3?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 244 + -247. What is the third biggest value in 5, 22, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 10 and 59.\nAnswer: 590","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 9\/8 + -79\/56. Let t = 0.053 + 0.138. Let v = -0.091 + t. What is the nearest to v in 4, g, -0.6?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*v**2\/7 - 10439060*v\/7 + 167023936\/7.\nAnswer: 4*(v - 2609749)*(v - 16)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5 - 3. Let p be ((-12)\/(-63))\/(w\/(-3)). Let t = 142.7 + -142.4. Which is the nearest to p? (a) t (b) -4 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 441561.1 litres?\nAnswer: 441561100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -530 + 816. Is 11 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14538398 a multiple of 329?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -47\/552 and -17\/21735.\nAnswer: 173880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 1260, 1274, 1286, 1296, 1304, 1310, 1314?\n\"Answer: -q**2 + 17*q + 1244","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/15 in 2, 187, 3\/98, -2\/3?\nAnswer: 3\/98","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 348199242 to the power of 1\/7, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((1260\/(-25))\/9)\/((-2)\/(-5)). Let t(x) = -x**3 - 15*x**2 - 12*x + 30. Calculate t(o).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-77)\/(-132))\/(2660\/608).\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -563, -1152, -1741, -2330, -2919?\nAnswer: -3508","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/10*1\/(-2)\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 8 - (-24 - -25 - -14) - -13 - -111\nAnswer: 117","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-18)\/45 + 52\/5. Suppose -4*s + p + 8 + w = 0, 0 = 2*p + 4. Let k(f) = 10*f - 13. Does 3 divide k(s)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -d. Let x(z) = 7*z. What is -49*o(a) - 6*x(a)?\nAnswer: 7*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -966 + 969. What is the first derivative of -3*y**2 + 172 - 2*y**2 - 361 - d*y**2 + 5*y**2 wrt y?\nAnswer: -6*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1\/34 - 63\/170. Which is the nearest to t? (a) -2\/9 (b) -1 (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(24\/(-27))*(-1824)\/19494.\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5 + -1. Let o = k + 7. Which is the closest to o? (a) -1\/2 (b) 0.5 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1649574 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 108195.54 to the nearest one thousand.\nAnswer: 108000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 13*t**2 - 4*t + 5. Let m(l) = -l**2 + l - 2. Let x be m(0). Let r(n) be the first derivative of n**3 - n**2\/2 + n + 115. What is x*w(u) + 9*r(u)?\nAnswer: u**2 - u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 14 and (27\/45)\/((-12)\/(-2120))?\nAnswer: 742","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*v - 37 - 26. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -65*l**2 - 2*l + 1. Let h(m) = -68*m**2 - 2*m + 2. Give -2*h(b) + 3*s(b).\nAnswer: -59*b**2 - 2*b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -68, -114, -172, -248, -348, -478?\nAnswer: -644","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1090? (a) -14\/5133 (b) -0.2 (c) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u when two letters picked without replacement from {u: 9}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -2903, -2918, -2943, -2978?\n\"Answer: -5*x**2 - 2898","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in five quarters of a litre?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -2*j**2 + 11*j + 153. Determine y(-10).\nAnswer: -157","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**12)**(10\/9) assuming h is positive.\nAnswer: h**(40\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -677.7 or -2\/247?\nAnswer: -677.7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -11120120 (base 3) to base 9\nAnswer: -4516","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -49, 2\/13, 1306\/2237 in ascending order.\nAnswer: -49, 0, 2\/13, 1306\/2237","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 21*w**2 - 644*w + 109. Is i(48) a multiple of 85?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23*c - 20*c + 10*c.\nAnswer: 13*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 412303 (base 5) in base 7?\nAnswer: 54136","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 76*x - 187. Calculate z(3).\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -3*s - 10. Let l(h) = 5*h + 19. Calculate 5*a(v) + 2*l(v).\nAnswer: -5*v - 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4759?\nAnswer: 4759","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*b**5 + 957*b**4*s**2 + 2*b**2 - 4*b*s**2 + 3*s**2 - 132*s wrt b.\nAnswer: 180*b**2 + 22968*b*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 13721 (base 15) to base 10\nAnswer: 62356","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ww when two letters picked without replacement from {b: 2, w: 2}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -69 (base 10) to base 13.\nAnswer: -54","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -200 - 12013?\nAnswer: -12213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1672661 is divided by 313?\nAnswer: 302","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -19, 2\/3, -2\/7, 0.2.\nAnswer: -19, -2\/7, 0.2, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 147*g + 38. Determine k(-1).\nAnswer: -109","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3603529?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 15 + -11 + 2 - (-2 + 1). Let j(t) = -16*t**2 - 14*t - 5. Let b(u) = -7*u**2 - 7*u - 3. Let k(r) = v*b(r) - 3*j(r). Let p = -1 + -4. Determine k(p).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (2*sqrt(8) + -3 - (sqrt(128)*-2 + 0)).\nAnswer: -1 + 20*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 14*d**2 + 3*d + 2. Let m = 6751 + -6743. Let p(b) = 42*b**2 + 8*b + 6. Give m*z(f) - 3*p(f).\nAnswer: -14*f**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (86*u - 19*u + 37*u)*(-2 + 0 + 1)*(-2*u**2 + 0*u**2 + 0*u**2) in the form b*u**2 + k*u**3 + v + z*u and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 121 minutes after 1:14 PM?\nAnswer: 3:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1139*l + 1309*l = 4044*l + 61984 for l.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 200 + -194. Suppose -3*s = 5*g - 504, -7*g + r*g + 105 = 2*s. List the prime factors of g.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*d + 4*p + 105 - 29, -3*d - 81 = -5*p. Let x be (30\/(-40))\/(2*2\/d). Calculate the highest common factor of x and 26.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 5\/4 of a micrometer?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8780 is divided by 7734?\nAnswer: 1046","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kdd when three letters picked without replacement from dkkkd?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 1. Let u(m) = -m + 2. Let b(v) = -2*v - 20. Let f be b(-11). Calculate f*u(n) - 4*g(n).\nAnswer: -2*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 256938?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = f**2 - 5*f + 11. Let n be p(6). Calculate the greatest common factor of 34 and n.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 90002?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 3160*d + 65 + 97 + 672*d - 2*d**2 - 163 as c + v*d**2 + n*d and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence frrr when four letters picked without replacement from rrffrfrffrffrffrrr?\nAnswer: 21\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (4 - 4 + 2*r)*(-5*r**2 + r**2 + 5*r**2) + 2*r - 2*r + 2*r**3 + (-3*r + 4*r + 0*r)*(-3*r**2 + 3*r**2 + 2*r**2) as n + b*r + m*r**3 + a*r**2 and give m.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -10411, -10410, -10409?\n\"Answer: f - 10412","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r - 5*f = -3, 3*r - 3*f + 4 - 1 = 0 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) be the second derivative of l**6\/180 + l**3\/2 - 3*l. Let g(a) be the second derivative of h(a). Let n(q) = -2*q + 0*q + 0*q. Give g(n(w)).\nAnswer: 8*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-11)*x*x*x*x**17)\/(x**(-5)*(x\/(x**(2\/19)\/x))\/x) assuming x is positive.\nAnswer: x**(249\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*m**5 + 7*m**4 + 2444*m**3 - 947*m**2 + 108 wrt m?\nAnswer: -180*m**2 + 168*m + 14664","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*p**3\/5 - 104*p**2 + 34816*p\/5 - 131072\/5.\nAnswer: 2*(p - 128)**2*(p - 4)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -v - 22. Determine w(-17).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 1, l: 11, o: 3, t: 4}. Give prob of picking 1 o and 1 b.\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 557 minutes after 10:00 PM?\nAnswer: 7:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 39\/5392 and 73\/22080.\nAnswer: 7440960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -k - k - k**2 + 0*k**2 + (-104 + 55*k + 104)*(-4*k + 6*k - 3*k) to a + n*k**2 + d*k and give n.\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 greater than or equal to -6\/669132065?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (3 - (-85)\/(-30))\/((-5)\/(-14)). Which is greater: 0 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -4*u - 8*u**2 - 8*u**3 + 2*u + 7*u + 5. Let g(z) = -z**3 - z**2 + z + 1. Let x(b) = 5*g(b) - h(b). Factor x(y).\nAnswer: 3*y**2*(y + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/(-246))\/(372\/2232).\nAnswer: -2\/41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = h**3 + 2*h**2 - 18*h + 7. Give x(3).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2.837 + 2.163. Put 153, 4, -3, a in descending order.\nAnswer: 153, a, 4, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/(45*3\/864)?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = z**2. Let r(k) = -1912*k - 2513*k - 445*k - 598*k - 1851*k. Calculate u(r(j)).\nAnswer: 53567761*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor q**3\/6 - 11*q**2\/2 - 1321*q\/6 + 4611\/2.\nAnswer: (q - 53)*(q - 9)*(q + 29)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Are 41 and -33.01083 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-13)\/(-52)*8 - 9\/4.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.22 and -105.\nAnswer: -23.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 2, j: 4, q: 4}. Give prob of picking 2 q.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 3*f - 2*q = -35, -5*f = 4*q + 5. Let w = -0.0426 - -2.0526. Let h = w + -0.01. Sort f, -3, h in ascending order.\nAnswer: f, -3, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(6\/17))**21 assuming i is positive.\nAnswer: i**(126\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4 - 96)*7\/(-126) - 5.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 48 and 120?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1112222010011 (base 3) in base 11?\nAnswer: 514688","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5 - 5.4. Let i be -5 - -5 - (-36)\/342. Which is the second smallest value? (a) i (b) u (c) 0.2 (d) 2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 64588575?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2.84 + 0.16. Let p = 1706238 - 39254696\/23. Let r = p + 488. What is the second smallest value in m, r, -2\/5?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -y + 5*f + 30, -3*y + 5*f + 72 = -38. Let s be -1 + 20\/((-6)\/(-3)). Let c be 0 - 48\/(s\/(-3)). What is the highest common divisor of c and y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -w**3 + 38*w**2 - 45*w - 3. Let q be y(37). Are -295 and q non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2995249?\nAnswer: 2995249","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4657*g**3*v + 6*g**3 + 330120*g**2*v wrt g.\nAnswer: -27942*v + 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 114286?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (36 - 34) + (-2 + 3 - 4)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 803?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1a (base 12) to base 9.\nAnswer: -24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p = -2*m + 9, -p - 4*m = p + 536 - 558 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, -2\/13, 5, -0.4, 3\/37 in increasing order.\nAnswer: -0.4, -2\/13, 3\/37, 5, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 452861 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 8*u = 4*g + 4, 0 = 4*g + 2*u + 16. Let d(w) = w**2 - w + 4. Let t be d(g). Solve 4*c - 3*k - 36 = 2*k, -2*k = -2*c + t for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 60111 a multiple of 296?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 358, 352, 346, 340, 334, 328?\n\"Answer: -6*d + 364","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -12, -23, -22, -3, 40?\n\"Answer: j**3 - 18*j + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - (4 - (-4 + -5 + 12) - 0)) + -49?\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-200)\/175)\/(1\/(-7)). What is the smallest value in 0.06, -5, y?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2 + sqrt(200))**2 + (sqrt(2) + -1)*-3)*-2*4.\nAnswer: -1656 - 296*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -3*n**3 - n**2 - 11*n - 26. Let h(i) = 10*i - 185. Let l be h(18). What is the lowest common multiple of 4 and t(l)?\nAnswer: 1516","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 220835?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = u + 0*u - 3*u. Let g(x) be the third derivative of -x**6\/720 - x**4\/12 - 2*x**2. Let k(o) be the second derivative of g(o). Give k(d(r)).\nAnswer: 2*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 115 and 1871748740?\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve x + 3*f - 8 = -18*f + 15*f, -4*f - 8 = 4*x for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 11 = -2*k + 1, -k - 12 = -5*v. Let m be 0\/((5 - (4 + v)) + -3). Let o(u) = -2*u + 23. Give o(m).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.37 and 30.\nAnswer: 29.63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 518 - 515. Suppose z = -4*h + 7, 4*h = j*z + 11 + 16. Solve -3*d - 7 = -5*y, d + h + 0 = 2*y for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 106776\/(-9504) + -5 + (-84)\/(-16) - -11\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 0 - 5\/(-165)*-11. Let u = -0.5 - -59.5. Is u < b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by -1052130?\nAnswer: -1\/210426","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -2*n**2 - 4*n - 1. Let h be y(-3). Let d be 33\/h + (-4)\/14. Let w be (-712)\/d - 3\/(-5). What is the greatest common factor of 13 and w?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g**(-2\/7))**(-4\/11))**(2\/19) assuming g is positive.\nAnswer: g**(-40\/1463)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 322190547 a multiple of 322?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 109747366?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 89\/50484 and 105\/26048.\nAnswer: 328751808","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from djdkmddjddkm. Give prob of sequence mjk.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 17*m**2 - 24*m - 67. Let x(b) = 34*b**2 - 52*b - 133. What is 13*u(r) - 6*x(r)?\nAnswer: 17*r**2 - 73","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 8*t - 4. Let m be o(-7). Let w be 1\/((-2)\/m*2). Suppose 240*d - 540 = 236*d. What is the greatest common divisor of w and d?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.333? (a) 0.2 (b) 5 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 515\/17 + -5851\/68. Is -55 >= n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 4, l: 2, m: 1, g: 1}. Give prob of sequence gmpl.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 7028 and 84?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 2, p: 3, h: 5}. Give prob of sequence hpcc.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9\/(27*(-15)\/(-315))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -38.5 - -38.523. Suppose 5*n - 23 = -2*z, -z = 2*z + 3. Which is the biggest value? (a) n (b) q (c) 2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 554 to the power of 1\/2, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3361158 is divided by 7?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4 - 4. Let x = h + -0.2. Let y = -0.6 + 0.7. Which is the closest to y? (a) 0.3 (b) x (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/(-11))\/(-2)*19\/19?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 101\/89483084 and 47\/6.\nAnswer: 268449252","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -2780 rounded to the nearest ten thousand?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -43*k - 168 = -22*k for k.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 9103402 and 154.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2349018105?\nAnswer: 3, 5, 7, 101, 31643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 29*z**2 - 29*z**2 - 35340*z**3.\nAnswer: -35340*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 833362 and 4647.\nAnswer: 1549","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2118 by -6.\nAnswer: -353","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 988 and 24?\nAnswer: 5928","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 7*j = -588. Let z = -119 + 55. Let i = j - z. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1570 and 3925?\nAnswer: 7850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -a - 2*a + 2*a + 3. Let o = -16 + 8. Is 8 a factor of v(o)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 1231.96 and -8.328.\nAnswer: 1223.632","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-2)\/(-3))\/((-4)\/(-66)). Suppose 6*n - r*n = -25. Suppose -n*i - 15 = -0*i. Are i and 0 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) be the second derivative of 5*g**4\/12 + g. Let n(o) = -o**2 + 7*o - 5. Let l(a) = 5*a + 1. Let z be l(1). Let j be n(z). Calculate q(j).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-4*(-3)\/(-2))\/((-37242)\/713805)\nAnswer: 115","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1222549436 + 0.1144?\nAnswer: -1222549435.8856","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -78075*s**3 + 156652*s**3 - 78575*s**3.\nAnswer: 2*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2618715567.\nAnswer: 3, 13, 349, 421, 457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000028687 rounded to seven dps?\nAnswer: -0.0000029","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4 + 6. Suppose d - w - 3 = 0. Calculate the remainder when 14 is divided by d.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10313 is divided by 438?\nAnswer: 239","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (-150 + 580 + 550)*(-n + 5*n - 2*n)*(2 - 5 + 2) in the form r*n + v and give r.\nAnswer: -1960","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b - 257*q = -267*q + 72, -2*b - 5*q - 16 = 0 for b.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - (13 - (-1 + 13)) - -13) + -43?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 43 = 5*u + 13 for u.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 62 - 40. What is the smallest common multiple of 2\/(49\/(-10) + 5) and n?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 2*d**2 - 23*d - 36. Determine j(13).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, -2, 2, 50, 24\/11 in descending order.\nAnswer: 50, 24\/11, 2, 0.4, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -4*p - 3. Let i be y(-2). Solve -5*k - 25 = -i for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -m - 12. Let r = 99 + -57. Suppose 0*y - 2*y - 16 = -5*h, -4*y = -5*h + r. Let z be o(y). Solve -q - 16 = 3*b, -3*q + z - 5 = -2*b for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.127, 5, 4\/3, 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b3ee (base 16) to base 9\nAnswer: 70160","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1405903 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 6274*h**2 + 2*h + 15260?\nAnswer: 12548*h + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -980000 rounded to the nearest 100000?\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 17005*r**2. Let f(y) = 1658*y**2. Determine p(f(a)).\nAnswer: 46746132820*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1500696423?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 23.31132ml?\nAnswer: 0.02331132","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-11))**(-36) assuming l is positive.\nAnswer: l**396","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -131132132121 (base 4) in base 14?\nAnswer: -1051d69","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1010101 - -11?\nAnswer: -1010010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1981382 to the nearest integer?\nAnswer: 1408","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 43 - 30. Let n be -24*32\/(-6) - -2. Calculate the greatest common divisor of n and b.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 550 and 19642425?\nAnswer: 275","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3*l - l + 0*l)*(3 - 3 + 1) + 62*l + 405 - 405)*(3*l**3 - l**4 - 3*l**3).\nAnswer: -64*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 39416 and 2080?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 31 + -32. Let n(g) = -45*g**3 - g**2 + g + 1. Let b be n(i). Suppose 0 = 6*o - b - 22. Calculate the least common multiple of 9 and o.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -36*l**2 - 16. Let q(v) = -7*v**2 - 3. Calculate -11*q(w) + 2*y(w).\nAnswer: 5*w**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -310*w + 7*w - 27*w + 36259 + 4001 for w.\nAnswer: 122","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 1\/595 and -61\/65.\nAnswer: 7735","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = z**3 - 15*z**2 + z - 15. Let v be m(15). Suppose -4*h + 4*j - 12 = v, 3*j = -0*h - 3*h - 21. Do h and -5 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3200393?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 - 1 + 5)*(2*v - 1 + 1) + v + 0*v - 2*v + 0*v - 2*v + v + (3 + 1 - 3)*(-v + v - v) - 24*v - 38*v + 22*v to k + s*v and give s.\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 144, 579, 1306, 2325, 3636, 5239, 7134?\nAnswer: 9321","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.2 (b) 8 (c) 1.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*u - 7 = -6*u. Let y(b) = 2*b**2 + 9*b - 5. Calculate the remainder when y(u) is divided by 16.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*b**4*i + 4*b**3 - 1207415*b - 322630516*i wrt b?\nAnswer: -8*b**3*i + 12*b**2 - 1207415","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0*(-8 - 85\/(-10))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 17 + 7 = 0. Let v(p) = -p**3 - p + 5. Let r be v(0). Calculate the remainder when x\/((15\/(-2))\/r) is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t = 8, -5*y - 4*t = t + 35. Let s = 50171\/9 - 5583. What is the common denominator of (-6)\/(21\/y - 1) and s?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*a + 6 = 9*a. Solve 0 = 3*z + 4*h - 2*h - 15, a*h + 10 = 2*z for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -222*z - 119*z + 100*z.\nAnswer: -241*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -253*u**2\/3 + 7481207*u\/6 + 14785\/2.\nAnswer: -(u - 14785)*(506*u + 3)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -11*q + 3. What is g(-3)?\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -18038*z**2 - 38253*z.\nAnswer: -36076","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -w**3 - 7*w**2 - 7*w - 3. Let u be t(-6). Let d = u + -2. Let o(x) = 5*x**3 + 0 + 4*x - 5*x - d. Determine o(-1).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 130 times 412.2\nAnswer: 53586","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v**3 + 225*v**2 + 1890*v - 18360 = 0. What is v?\nAnswer: -12, 6, 51","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 302.5814mm in meters?\nAnswer: 0.3025814","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/339? (a) -3\/5 (b) -2 (c) 16.3 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 11855639111535 + 2.\nAnswer: 11855639111537","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n - 11*l = -8*l - 140 + 111, n - 15 = -2*l for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -41415 + -175?\nAnswer: -4158a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q\/(((q\/(q*q**(-2\/3)*q*q*q))\/q*q)\/q))\/q)\/q)**33*((q\/(((q\/q**(-1))\/q)\/q))\/q)**(-1\/23) assuming q is positive.\nAnswer: q**77","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:26 AM and 10:50 AM?\nAnswer: 444","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -1. Let m(f) = 6*f - 2. Let u(v) = -m(v) + 2*n(v). Let i be (8 - 5)\/((-1)\/((-2)\/3)). Let g(q) = 12 - i*q - 12. Determine u(g(s)).\nAnswer: 12*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 21652.71 minus -577?\nAnswer: 22229.71","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1598 - -1600. Sort -0.4, y, 1 in descending order.\nAnswer: y, 1, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wqqwqjqbqbxbbbqawjj. What is prob of sequence jjqw?\nAnswer: 3\/2584","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -p**3 + 45*p**2 - 124*p - 76. What is the remainder when (-1 - -1) + 1 + 13 is divided by i(42)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.02 in -2, 1.3, -3?\nAnswer: 1.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 388750 to the power of 1\/3, to the nearest integer?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 785 + -772. Calculate the greatest common divisor of 4329 and c.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1249182 to the nearest integer?\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-43*d + 7*d + 180*d)*(-3 + 2 + 3).\nAnswer: 288*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange i - 32*i + 51*i to the form m + l*i and give l.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1 + -1 + (-28 - -33). Let h(b) = b**2 - 8*b + 2. Determine h(i).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 0.017, 0.3, -0.3, -2\/13, 0.003, -0.6?\nAnswer: 0.017","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 119785, 119783, 119781, 119779?\nAnswer: 119777","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -p**2 - 6*p + 4. Let m be a(-6). Let r be ((-2)\/m)\/(6\/12)*0. Solve -2*v = -r*v + 8 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 2*d - 6. Let z(p) = -5*p - 29. Let c be z(-6). Suppose 3*j + 2*s = 6, -3*j + s = -31 + 16. Let f(b) = 1. Determine c*u(n) + j*f(n).\nAnswer: 2*n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(91) - -1*sqrt(91)*3 - 2*sqrt(91)*-5)\/((sqrt(7) - (sqrt(7) + sqrt(343) + sqrt(343)*-2)) + sqrt(7) + -4*(sqrt(28) + sqrt(7))))**2*-3.\nAnswer: -1911\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -3017031 divided by -6?\nAnswer: 1005677\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -203.4 times -6?\nAnswer: 1220.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 2*k. Let z(w) = -2 + 2 + 0 - 2*w**2. Give n(z(f)).\nAnswer: -4*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 340 take away 45.4?\nAnswer: 294.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -74 - -104. Suppose -k + b = 2*k. Is 3 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 499*g = 508*g + 2*a - 18, 2*g - 2*a - 4 = 0 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 7, 5\/2, 39, -469.2, -0.2?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (3 - (2 + 2)) + -3 + 0\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/5 in -5, -1\/1886, 3\/4, -3\/5?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) be the first derivative of 3*w**4\/28 + w**3\/7 - 108*w**2\/7 + 987. Factor f(t).\nAnswer: 3*t*(t - 8)*(t + 9)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -12, 1, 28, 75, 148, 253, 396?\n\"Answer: y**3 + y**2 + 3*y - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 12297951 a multiple of 57?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 3*x**3 - 110*x**2 - 86*x - 33. Is 6 a factor of w(38)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f*f**(4\/9)*f*f)\/f**(-9))\/(f**(-1\/4)*f\/(f\/((f\/f**(-6)*f)\/f))) assuming f is positive.\nAnswer: f**(241\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -220*i + 42*i - 140*i - 108*i to y*i + p and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 145 and 29.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Determine a so that -4*a**2 - 236*a - 232 = 0.\nAnswer: -58, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 90069001?\nAnswer: 11, 61, 269, 499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.038593 milligrams to kilograms.\nAnswer: 0.000000038593","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 4 + 4)*(3 + 1 - 2)*(-6*w + 9*w + 6*w)*((-4 + 1 + 2)*(-16 - 69 + 1) + 1 - 4 + 2).\nAnswer: 11952*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11\/(-484)*2*-4.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 45583, 45586, 45589, 45592, 45595, 45598?\nAnswer: 45601","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 63 and 2163.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -3\/5 (b) 0.4 (c) -5\/344 (d) -10 (e) 5 (f) 0 (g) -7\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 36*f**2 - 27. Let m(o) be the third derivative of -o**5\/60 + o**3\/6 - 8*o**2 - 6*o. Give a(z) + 27*m(z).\nAnswer: 9*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 3*l + 4. Suppose 5*w - 9 - l = 0. Let j(m) = 3*m - m - m**w - 7 + 0*m - 9*m. Give j(-6).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3943, -4, 2, 5, -2, -1.\nAnswer: -4, -2, -1, 2, 5, 3943","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2145410271?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 148 - 148.63. Let n = -0.13 - l. Let p = 0.01 - -3.99. Put p, n, 3\/2 in ascending order.\nAnswer: n, 3\/2, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = n**3 + 4*n**2 - 6*n - 3. Let l be t(-5). Let j be (-1 - -1) + (8 - l). Suppose -274 + 22 = -j*q. What is the units digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*l**3*m - l**3 - 115227*l**2*m + 2*l**2 - l*m + 5*l + 75193*m wrt l.\nAnswer: 18*l*m - 6*l - 230454*m + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -0.0478348996 - 11\nAnswer: -11.0478348996","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1328, 0, 1\/10?\nAnswer: -1328","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 217619 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 30711?\nAnswer: 3, 29, 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ttttttkt. What is prob of sequence tk?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -1326.4 + -1706189765?\nAnswer: -1706191091.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ddc. Give prob of picking 2 d.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -r**2 - 7*r + 59. Let z be y(-11). Let c be (-14)\/(-2) - (-8 + z). Let l(w) = -w**3 - w**2 + w - 14. Calculate l(c).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 14410152 divided by 118116\nAnswer: 122","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -d - 6 + 2 - 4. Let t(y) = -y**3 + y**2 + y + 1. Let z(r) = 3*r**3 - 10*r**2 + 6*r - 9. Let n(i) = -2*t(i) - z(i). Let o be n(7). What is m(o)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -46*m - 84 = -34*m for m.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5 + 7. Let x = -15 - -61\/4. Let m = 19\/14 - 17\/14. Which is the closest to 2\/5? (a) x (b) u (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = y - w, 3*y - 4*w + 10 = y. Suppose 166 = 2*v + 5*k, 0*k + 291 = 3*v - y*k. What is the tens digit of v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 3 + 0)*(-2 + 2 - 2)*(11*p - 3*p - 6*p) - 1 + 1 - 2*p.\nAnswer: 2*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 18, 1, 1879849, -1 in decreasing order.\nAnswer: 1879849, 18, 1, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 151*z - 19. Let n be v(16). What is the hundreds digit of 1*6\/(-12) - n\/(-6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-100)\/(-270)*-3 - (-4)\/9.\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2769\/5 or 554?\nAnswer: 2769\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34295*j**5 + 45125*j**4 + 11970*j**3 + 1180*j**2 + 40*j = 0 for j.\nAnswer: -1, -2\/19, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express -36*k + 17*k + 20*k as p + s*k and give s.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -1\/15 (b) 0 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 (base 12) in base 7?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -18807889*o**3*u**3 + 20*o**2*u**3 + 410050*o**2*u wrt o.\nAnswer: -112847334*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 45\/39 + (-8)\/52. Is 6 equal to i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -w + 1. Let u(y) = -17. Let b(p) = 2*s(p) + u(p). Let c be b(-10). Solve v = 5*z + 12, -4 = -2*z - z - c*v for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.133461, 3\/19, -0.02, -3 in ascending order.\nAnswer: -3, -0.133461, -0.02, 3\/19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 55 + 2 - (888 + -798).\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 36 + 5 = 3*j, 0 = 3*b - 5*j - 9. Let a be (50\/b)\/(2\/8). Let v = a - 13. What are the prime factors of v?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 15*v - 3. Let k be l(9). Suppose 2*a = -0*a + k. Let f(t) = 5*t + 146. Let h be f(-28). What is the greatest common factor of a and h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1695200, -1695272, -1695344?\nAnswer: -1695416","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -1, 0.18, 9, -3\/10, 1\/4, -2\/7, 2\/11?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1 + 2\/((-6)\/(-3)). Sort -5, 6, m, 7 in descending order.\nAnswer: 7, 6, m, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + 8 + -13 + 11 + -21.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find s, given that -200\/9 - 104\/9*s - 2\/9*s**2 = 0.\nAnswer: -50, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 3*o - 101. Let x be a(27). What is the tens digit of (2004\/8)\/(-2 + x\/(-8))?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -4696, -3, 58 in descending order.\nAnswer: 58, -2, -3, -4696","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 2*b. Suppose 6 = 2*w + 2. Let i = -13 - -15. Let v(f) = 2*f**w + 3*f**2 - 4*f**i. Calculate v(m(a)).\nAnswer: 4*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -14866000 rounded to the nearest one million?\nAnswer: -15000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -49*k**3\/4 - 371*k**2\/4 - 50*k - 7.\nAnswer: -(k + 7)*(7*k + 2)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*d = -52 + 40. Suppose -2*q - 13 = 11. Put 23, -2, d, q in descending order.\nAnswer: 23, d, -2, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 1188*k - 1. Let x(p) = -2*p. Calculate x(q(v)).\nAnswer: -2376*v + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 67, 262, 587, 1042, 1627, 2342, 3187?\nAnswer: 4162","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -6 - 333535?\nAnswer: -333544","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 21, 87, -11, 0, 8 in descending order.\nAnswer: 87, 21, 8, 0, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1017024 and 756?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 17, -4, 6, 5 in descending order.\nAnswer: 17, 6, 5, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lllxlllllxll. What is prob of picking 1 x and 1 l?\nAnswer: 10\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 24771 + -21886. Is x even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -2*o + 13. Let v be j(4). Suppose v*z - 253 - 122 = 0. List the prime factors of z.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -123 - (-22 - (-2 - (2 - (-14 - -16)))).\nAnswer: -103","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 132.7 + -140. Let d = 7 + o. Let m = 0.1 + d. Sort m, -2\/3, 2 in descending order.\nAnswer: 2, m, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2416*n - 2403*n + 7776*n - 2956*n.\nAnswer: n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3272685?\nAnswer: 3, 5, 13, 1291","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4762234 millilitres in litres?\nAnswer: 0.0004762234","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42*x - 625 = 37*x - 4*o, -2*x + 273 = -3*o. What is the highest common divisor of x and 129?\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 12 + 2020?\nAnswer: 2102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -242.008 + 239. Let d = 3.008002229 + m. What is d rounded to 7 dps?\nAnswer: 0.0000022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 98*s + 66 + 224 + 4 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 5 - 1e?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**11\/(l**2\/l) assuming l is positive.\nAnswer: l**10","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.163? (a) 180 (b) -11 (c) 0.5 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3938*i**3 + 3935*i**3 - 4 + 4 + 3*i**4 - 12*i**2 wrt i?\nAnswer: 72*i - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -2.2447 and 0.2.\nAnswer: -2.0447","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 33527 to the nearest integer?\nAnswer: 183","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(-1\/4))**(-31)*o*o**9\/o*o*o*o\/(o\/(o*o**(-6)*o)))\/(o\/o**6*o*o**(2\/11))**(-49) assuming o is positive.\nAnswer: o**(-7583\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 4074, 4073, 4072?\n\"Answer: -f + 4075","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00637 rounded to 3 dps?\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 4\/14 - (-2208)\/14 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 4 = 2. Suppose f*z - 6 = z. What are the prime factors of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 659.3 - 651.3. Put i, 0.3, -0.09, 2, 0.2 in descending order.\nAnswer: i, 2, 0.3, 0.2, -0.09","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 396 - 10693\/27. Is -1 bigger than b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 5977, 5956, 5933, 5908, 5881?\n\"Answer: -b**2 - 18*b + 5996","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -20 + 543?\nAnswer: 523","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6\/9*1140\/8?\nAnswer: 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3 - -5. Suppose m*w + 8 = 40. What is the smallest common multiple of w and 6?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 z when four letters picked without replacement from htzztzz.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -3\/23, -1, 21.5, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 18.4 + -0.4. Let g = 14 - o. What is the second smallest value in 3\/2, g, 5?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 18\/5 of a litre?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 280 * 0.03\nAnswer: 8.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3 - 1. Suppose 5*u = 2*o + 47, -x*u + 4*u = -2*o + 30. Suppose -u = -r + 12. Does 6 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 1 - 1)*(0*o - 3*o + o)*(59 - 23 + 12).\nAnswer: -288*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**1*(((x**(-3)*x)\/x)\/x)\/x)**(2\/49) assuming x is positive.\nAnswer: x**(-8\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 477 is divided by 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1946568 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: Collect the terms in -20765*a + 63083*a - 21546*a - 20767*a.\nAnswer: 5*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22509.\nAnswer: 3, 41, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 14867.3 - 14867. What is the closest to 0.1 in 19\/21, j, 0.1, -1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*n**2 + 11*n**2 + 18*n**2 + 2*n**2 + 6*n**2.\nAnswer: 30*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 122080639 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 204.1026 millimeters?\nAnswer: 20.41026","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 32.7 rounded to the nearest ten?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 630 = 5*m + 3*p, -3*m - 5*p = -10*p - 344. What is the remainder when m is divided by 52?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(-5 + sqrt(7) + 2 + sqrt(7) - (sqrt(448) + -3 + sqrt(448))) - (1 + (-3*sqrt(14))\/sqrt(2) + (-3 + sqrt(7)*2 + sqrt(7) - sqrt(7))))**2.\nAnswer: 340*sqrt(7) + 50579","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -33.7+878947\nAnswer: 878913.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -f**3 - 45*f**2 - 185*f + 563. Determine t(-7).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6527 is divided by 47?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -48 + 48. Let o = -12 - -10. Let i = -2 - 1. Which is the closest to l? (a) -0.3 (b) o (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-620 + 3)*-1 + (5 - 10)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-6)\/(-3))\/(35\/(-10)). Let m = 28 - -6. Let g = 100\/3 - m. Put 2\/7, g, o in descending order.\nAnswer: 2\/7, o, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1 - -1. Suppose z = -4*g - 3*p - 2*p + 35, 5*g - 55 = -4*p. Suppose b - g = -5. What is the least common multiple of b and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 744, 2369, 5122, 9039, 14156?\nAnswer: 20509","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -y**4 - 6*y**3 + 6*y**2 + 6*y + 9. Let z(x) = x**3 - x**2 - x. Let k(g) = r(g) + 6*z(g). Find the first derivative of k(f) wrt f.\nAnswer: -4*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*a - 5*a + 2*a)*(19 - 6 + 14)*(-1 - 1 + 1).\nAnswer: 27*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 65 + -23. What is the units digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -6*k + 94. Let h be j(17). What is the remainder when (h\/10)\/((3\/(-110))\/3) is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(2 + sqrt(605) + -2))**2.\nAnswer: 5445","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*w + 7*n + 36 = 3*n, -4 = 5*w - 4*n for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-279)\/270 - 16\/(-36)*3?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 2, h: 2, g: 1}. Give prob of sequence jg.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 3*d + 2*f, 4*d + 8*f - 3 = 3*f. Suppose -x + 4*p + 269981 = -d*x, 5*p = 2*x + 540027. Let u be (-2 + 1 - -2) + x. Round u to the nearest 10000.\nAnswer: -270000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -21*r**4 + 159*r**3 - 264*r**2 - 144*r.\nAnswer: -3*r*(r - 4)**2*(7*r + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = u**3 + 2*u + 1. Let a be g(-1). Let c(t) = -12*t + 4. Let l(f) = 3*f - 1. Let w(h) = a*c(h) - 9*l(h). What is the derivative of w(z) wrt z?\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -683.3 - 9.3\nAnswer: -692.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 154830056 is divided by 66?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -17981\/9350 + 84\/275. Calculate the common denominator of o and -67\/20.\nAnswer: 340","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -18b + 1109c0?\nAnswer: 110833","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 9 in 37, 434, -12, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by 116\nAnswer: 5\/116","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or -3\/24860?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.027755869 to 3 dps.\nAnswer: -0.028","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -11, 0.3, 0.2, 166?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -4 (b) 0.4 (c) 5 (d) 63.15 (e) 0.149 (f) -5 (g) -2\/25\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 l when three letters picked without replacement from {z: 4, l: 6}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 112000221120 + 0?\nAnswer: 112000221120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2069954 by 4.\nAnswer: -1034977\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 3714*a**2 - 6*a + 2. Let r(m) = 18569*m**2 - 33*m + 11. What is 2*r(j) - 11*x(j)?\nAnswer: -3716*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -0.942 - 0.05\nAnswer: -0.992","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -1453*q - 214. Let u be i(-2). Is u < 2692?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -93 + 93. Suppose y = 3*t - 30 - 45. Suppose 0 = 2*b - 7*b + 25, 5*b - t = 5*s. Solve g - 2*g - 2 = s for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 328 minutes before 3:34 PM?\nAnswer: 10:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -28 divided by -4.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (3 + -5 + 3)*-1 - -3. Solve -19 = -i*c - 25 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from scciaxlx. Give prob of sequence il.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 2*s**3 - 3*s**2 + s - 2. Let w be f(2). Suppose w*n + 7 = 5*n - 3*i, -1 = -5*n - 2*i. List the prime factors of n\/(-4) + (-66)\/(-8).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 divided by -72?\nAnswer: -1\/36","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*d + 0*d + d - 2)*(-453 - 494 - 431).\nAnswer: -1378*d + 2756","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*g - 3*s + 34 + 4, -2*g = 5*s - 26. Solve -4*u + 12 = -g for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -114008027.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -489125.1581 rounded to the nearest 100?\nAnswer: -489100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 179.0148665+57604\nAnswer: 57783.0148665","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9*v - v + 15*v + 652 + 271 to m*v + u and give u.\nAnswer: 923","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 - 14544.6703?\nAnswer: -14544.2703","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = c**2 + 5*c + 3. Give l(-5).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 + 0 + 16 + 153 + -148?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-4)\/(-6))\/2 - 2169\/27. Let s = -38 - o. Calculate the greatest common divisor of s and 21.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5093 is divided by 116.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 94c0882 + b?\nAnswer: 94c0890","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -33, -55, -83, -117, -157?\nAnswer: -203","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 117106161026 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -z**4 - 2*z**3 - 9580 + 9584 + z**3 + 44*z**2 + 3*z**3 + 0*z**4 in the form x*z**2 + c*z**3 + l*z + q + w*z**4 and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:36 PM and 12:43 AM?\nAnswer: 607","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 105108530 and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 112\/25 or 5?\nAnswer: 112\/25","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4226?\nAnswer: 2, 2113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-167025)\/(-22659) - 2\/(-10). Let u = 1\/5395 + x. Find the common denominator of u and -61\/9.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3071 - 636 - 557 + 513 - 1291)*(5*r - 5*r + 6*r).\nAnswer: -30252*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 3, 32 in increasing order.\nAnswer: 1, 3, 32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 1, d: 2, t: 4, a: 2, m: 1}. What is prob of sequence aa?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 87759891 is divided by 2531.\nAnswer: 2528","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Determine x, given that 10*x**3 + 35*x**2 + 35*x + 10 = 0.\nAnswer: -2, -1, -1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 4 + 0)*(-z**4 + 3*z**2 - 3*z**2) + (4*z**3 - 5*z**3 - z**3)*(24 - 24 + 7*z) + 0*z**4 + 2*z**4 - z**4.\nAnswer: -11*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1407, -1367, -1323, -1275?\nAnswer: -1223","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -187\/162 greater than 83?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/((k*k**(-2\/11)*k)\/k))\/(k**(-1)*k)*(k\/(k*(k*k\/(k\/k**4)*k)\/k))\/k**(2\/11) assuming k is positive.\nAnswer: k**(-5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3258 - -4603. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + -83 - (-502 - -472)?\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = -4*k - 6, -2*k - 4*x = -5*k + 1. Let d(v) = v**3 - v**2 + v. Let a(p) = -17*p**3 + 6*p**2 - 2*p. What is k*a(w) - 4*d(w)?\nAnswer: 13*w**3 - 2*w**2 - 2*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 8 = 4*i. Suppose n + i*n - 20 = 0. Let p = n + 5. Calculate the highest common divisor of 45 and p.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11033 (base 11) to base 16\nAnswer: -3e88","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = n + 1. Let m be f(4). Suppose -7 = 3*v + 5, b = 3*v + 14. Solve 5*h + k = -6, -2*h - k + b = -m*h for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h\/(h**(-1)*h*h))**(-48)\/((h\/h**2)\/h**(-5)) assuming h is positive.\nAnswer: h**(-52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1.37 - -1.21584. Round w to three decimal places.\nAnswer: -0.154","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -456444*c**6 + 467146*c**2 - 1 wrt c.\nAnswer: -54773280*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 8*r**3 - r**2 - 6*r + 4. Let g(x) = 15*x**3 - 3*x**2 - 11*x + 7. Let l(n) = -5*c(n) + 3*g(n). Let a = 932 + -929. What is the units digit of l(a)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -344212 - -2?\nAnswer: -344210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2897, -12342, -28343, -50900, -80013, -115682, -157907?\nAnswer: -206688","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 2*x**3 - 11*x**2 + 2*x + 6. Let v(y) = y**3 - 5*y**2 + y + 3. Let u(t) = 4*r(t) - 9*v(t). Let j be u(0). Put 5, j, 2 in increasing order.\nAnswer: j, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -64*v**2. Let z(i) = -362*i. Give b(z(l)).\nAnswer: -8386816*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4.99 - -0.01. Suppose 0 = -2*z - 5*l - 7, z - 1 = -3*l - 6. Let a be (-6)\/z - (-33)\/(-66). What is the second smallest value in c, -7, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 21 + 3*a**2 + 54 - a**2 + 14. Let c be y(0). Suppose 4*x + 6 - c = i, 3*i = -x + 11. Calculate the remainder when x is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -6 - -28. What is the highest common factor of s and 176?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18101609*u**2 - 12*u**3 + 14*u - 22*u + 18101609*u**2 + 16*u**3 + 8*u.\nAnswer: 4*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) be the third derivative of 19*d**5\/30 - 4*d**3\/3 + 974*d**2 - 2*d. Let n(a) = a. Determine t(n(l)).\nAnswer: 38*l**2 - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 8*p + 2. Let f(n) = 1610*n**2 + 66976*n + 16744. Let c(m) = -3*f(m) + 25116*g(m). Let j(v) = -v. Give j(c(i)).\nAnswer: 4830*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = n**2 + 5*n - 2. Let u be c(-6). Let i(o) = 5 - 4 + 0*o - u + 2*o. Calculate i(3).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2 + 1 - -3)*(-51)\/(-6). Let x(u) = 0*u - c + 7 - u + 14. Give x(4).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 126\/65 - 4782\/455. Suppose 0*u - 3*u - 27 = 0. Which is bigger: k or u?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 112730, 220393, 328054, 435713?\nAnswer: 543370","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2 - -6. Is (j\/(-24))\/(2\/(-78)) a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 677371 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express 385*r - 8 - r**2 + 8 in the form m*r**2 + o + f*r and give m.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -51653 (base 14) to base 11.\nAnswer: -124349","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (22\/2)\/1 - -515*(-28 - 9205\/(-329))\nAnswer: 2\/47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 not equal to 1068\/191?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -3 (b) -0.5 (c) 5 (d) 0.06 (e) -0.06 (f) -0.1716\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z = -3*w, z - 57*w + 13 = -59*w. Put -2, z, -5, 5, -456 in ascending order.\nAnswer: -456, -5, z, -2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 677011*t + 11. Let c be p(-1). Round c to the nearest 100000.\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -23687616 and 4.\nAnswer: -94750464","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 3888126 + -1?\nAnswer: 3888125","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -537944\/69 - -7796. Let a = 1\/23 - j. Let g = -0.93 - -0.63. Put a, g, -1 in increasing order.\nAnswer: -1, g, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 92?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -34103\/12 - -2838. Let z = 1542 - 10838\/7. Find the common denominator of n and z.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x - 27*a = -29*a + 6, 19 = -2*x - 3*a for x.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 441 is divided by 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 8, m: 5}. Give prob of picking 2 m.\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -59\/40720 and 31\/162880.\nAnswer: 162880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -89*t + 90*t + v, -v + 2 = 0. Which is the second biggest value? (a) 3 (b) 5 (c) t (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-3)\/(-15)*-2)\/((-3)\/30). Let w(m) be the second derivative of -1\/48*m**d + m + 1\/12*m**3 + 0 - 1\/8*m**2. Factor w(a).\nAnswer: -(a - 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -13651 - -300?\nAnswer: -13351","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: ((-6 + 1)*-2)\/((-14 - -16)*2)\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -83 + 114. Let y = x - -80. Is 6 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) be the third derivative of -1911*s**4\/8 + 2315*s**3\/2 - 9441*s**2. Find the first derivative of j(g) wrt g.\nAnswer: -5733","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 32543078 to the power of 1\/6, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-9)\/(-6))\/(6\/12).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 44 and 4708?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -4*t + 3*t. Let q(z) = z**3 - z**2. Let j(i) = -4*i**3 - 2*i**2 + 7*i + 6. Let k(o) = t*q(o) + j(o). Let g be k(6). Solve -4*h = -0 + g for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 47516691 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 3775368417 to the power of 1\/3, to the nearest integer?\nAnswer: 1557","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -639 or -24931\/39?\nAnswer: -24931\/39","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -376*s**2. Let o(k) = -216088*k. Calculate o(g(c)).\nAnswer: 81249088*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-8))**(-3\/2) assuming p is positive.\nAnswer: p**12","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 15 - 12. Suppose 3*h + t - 8 = 0, -2*h + 3*t + 5 = -15. What is the second derivative of -d**3 - d + 0*d - q*d - h*d**3 wrt d?\nAnswer: -30*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 < -66\/271?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 23*a - 10987 - 205167. List the prime factors of a.\nAnswer: 2, 37, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1.091 - -0.191. What is the third smallest value in h, 4, 2\/7, -0.06?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13871.\nAnswer: 11, 13, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 119*s - 112 = 103*s for s.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) be the third derivative of 0 + 7\/12*d**4 + 0*d - 8\/3*d**3 + 14*d**2 - 1\/120*d**6 - 1\/10*d**5. Let s be a(-8). Solve j - 6*j + 15 = s for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -414 - -780. Is k a multiple of 61?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -6 + 11*n - 4 - n**2 + 0. Let w(l) = -12*l + 245. Let m be w(8). Let f = -139 + m. Determine y(f).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -57149*b - 2089*b**2 + 57149*b.\nAnswer: -2089*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 3666 to the power of 1\/3, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.02836 to three decimal places.\nAnswer: -0.028","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*b**2\/3 - 1065728536*b\/3 + 70986082027793956\/3.\nAnswer: 4*(b - 133216067)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is g in 3*g**2\/2 - 19599*g - 39201\/2 = 0?\nAnswer: -1, 13067","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 526 is divided by 107.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2750, 11299, 25548, 45497, 71146, 102495, 139544?\nAnswer: 182293","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*o**4 - 278*o**3\/5 - 557*o**2\/5 - 358*o\/5 - 72\/5 = 0 for o.\nAnswer: -4, -2, -1\/2, -9\/20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (467 - 497) + (2 - -30).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(-20)\/u)\/u)**(-3\/4) assuming u is positive.\nAnswer: u**(33\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = -2*o - 5*s, 5*o = -2*s + s + 6. Differentiate -5*b**o + 31 - 22 - 12*b**2 with respect to b.\nAnswer: -34*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -9739, -9740, -9741?\nAnswer: -9742","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -3*m**2. Let r(w) = -20*w**2 + 2*w + 6*w**2 - w**2 + 6*w**2. Give d(r(p)).\nAnswer: -243*p**4 + 108*p**3 - 12*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 30 - 52 - -27 - ((13 - 3) + (7 - 0)).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1664237 to the power of 1\/4, to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (((4 + (sqrt(1377) - -2*sqrt(1377)) - sqrt(1377)) + ((-1*sqrt(68))\/sqrt(4) - sqrt(17)*1*5))*-1)**2.\nAnswer: 96*sqrt(17) + 2465","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1236 is divided by 21.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 22 (base 12) to base 3.\nAnswer: 222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5*(-5)\/(-25)*1.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -v. Let h(m) be the third derivative of 9\/20*m**5 + 0 + 0*m**4 + 0*m**3 - 3*m**2 + 0*m. Give h(z(a)).\nAnswer: 27*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 29*c**2. Let i be 28\/6 - (-2 - (-25)\/15). Let a(j) = i*j + 0*j - j - 3*j. What is a(r(h))?\nAnswer: 29*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 111, 379, 817, 1419, 2179?\nAnswer: 3091","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9)\/(-45)*(-15)\/(-12)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -9*(45\/(-15))\/(-3*3)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-24)\/4*21\/(-9). What is the tens digit of k + 1 + -9 + 9?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6940?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 277 minutes after 7:38 AM?\nAnswer: 12:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1584) + 1 - sqrt(1584))**2 + 3 + 3.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2 + 22 + -3)*1. Let b = -1 + n. Suppose 17 = 3*x - b. What is the highest common factor of 88 and x?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 40*w**3 - 57*w**4 - 67*w**4 + 100*w**2 + 128*w**4.\nAnswer: 4*w**2*(w + 5)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 27497568*z**2 + 9153420*z wrt z?\nAnswer: 54995136","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -480, -252, 358, 1512, 3372, 6100, 9858?\nAnswer: 14808","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - c = 2*f - 78, 30 = 2*f + 5*c. Suppose 0 = -2*w - 3*w + f. Solve -3*j - h = 2*h, 0 = -2*j + 2*h - w for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -45 - -44. Let x be -2*(11 + d) + (-2 - 0). Is (-19240)\/(-72) - (x\/(-18) - 1) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ipr when three letters picked without replacement from {r: 1, m: 3, c: 3, i: 6, p: 1, e: 4}?\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*q - 24 = 11*q. Let v be (8\/(-10))\/(q\/40500000). What is v rounded to the nearest 1000000?\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 1, m: 1, w: 3}. What is prob of sequence pwm?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 682 = -280*y + 2275 + 6247 for y.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = u**2 + 420*u - 6. Let g(p) be the second derivative of -p**3\/6 - 4*p + 73. What is h(g(a))?\nAnswer: a**2 - 420*a - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yy when two letters picked without replacement from yyfyyfyfffff.\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33 = -5*c - 383. Let r = 89 + c. Solve 1 = -5*y - r for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10330144 divided by 2?\nAnswer: 5165072","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(143)\/(sqrt(11) - (sqrt(88)*1 - sqrt(88))\/sqrt(8)) + (2 + -1*sqrt(13)*1)**2 + 2) + 1.\nAnswer: -113 + 18*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 287, 3, -3.\nAnswer: -3, 3, 5, 287","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*i - 91*i + 3*i**2 + 22*i + 26 - 199*i.\nAnswer: 3*i**2 - 273*i + 26","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1056)\/(-288) + 1 + -4.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 105, 189, 271, 351?\n\"Answer: -x**2 + 87*x + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1434 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 4569 = -4*d, 2*d + 2731 = 3*p - 3*d. Suppose -9*t + 2*t = -p. What are the prime factors of t?\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 7 - 10)*(4*a**4 + 2*a**4 - 4*a**4)*(-2*a + 2*a + a).\nAnswer: -32*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ttn when three letters picked without replacement from {x: 4, t: 3, n: 1}.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 55.95217 decades in months?\nAnswer: 6714.2604","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q, 1 j, and 1 z when three letters picked without replacement from {o: 12, z: 1, j: 1, q: 5}.\nAnswer: 5\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 13, -1, -0.5?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.017 + 3373521661?\nAnswer: 3373521660.983","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eaa when three letters picked without replacement from aea?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 29868*v**4 + 122*v**3 + 3462736*v**2.\nAnswer: 716832*v + 732","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -15*(-90 + 91)*(-11)\/5. Solve 30*w + 3 - l = 0 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 523d1 - -97?\nAnswer: 52468","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -105*a**2 - 49*a. Let x(w) = -13*w**2 - 6*w. Let i(g) = -6*q(g) + 49*x(g). Let n(f) = -f**2. Calculate i(n(z)).\nAnswer: -7*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1275a + 5?\nAnswer: -12755","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 123.6869 centuries to decades.\nAnswer: 1236.869","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange g - 2*g - 85 + 82 - g + g**3 to x*g + m + z*g**3 + i*g**2 and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.3575 + -0.35521. Round m to 3 dps.\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = d**2 + 290282*d - 13645447. What is p(47)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 + 3 + 0)*(-3*w + 0*w + 2*w) + (34 - 10 + 49)*(-2 - 4 + 4)*(4*w + 10*w - 8*w) as h + k*w and give k.\nAnswer: -875","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 1, n: 7, s: 6, w: 5}. What is prob of picking 3 w and 1 p?\nAnswer: 5\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1788487 to the power of 1\/6, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor x**2\/3 + 266*x\/3 - 1805.\nAnswer: (x - 19)*(x + 285)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4 - -9. Suppose -514 + 514 = -11*n. Let k = -7.4 + 7. What is the closest to n in -0.09, k, z?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -484\/9 or 1\/14?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 83286 is divided by 232?\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 5*a - 9 = -3*k, 5*k - 5*a - 15 = 0. Suppose t - 4 - k = 0. Suppose 4*p - 24 = 92. What is the remainder when p is divided by t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2412, -1, 1, -5, -2 in decreasing order.\nAnswer: 1, -1, -2, -5, -2412","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -16*g**3 + 36*g**2 - 16*g - 36. Let h(n) = 3*n**3 - 7*n**2 + 3*n + 7. Let a(r) = 11*h(r) + 2*z(r). Give a(4).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -330, -656, -970, -1266, -1538, -1780, -1986?\nAnswer: -2150","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -96*u + 187*u + 3 = r + 92*u, 0 = r + 2*u - 5 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 1 + j)*(4 + 2 - 4)*((3 - 1 + 1)*(0*j + j + 4*j) + (j + 3 - 3)*(-2 + 1 - 1) - 5*j + j + 0*j) in the form y*j**2 + d + g*j and give y.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0002683046927 rounded to 5 dps?\nAnswer: -0.00027","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -376500 to the nearest 100000.\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -9 - 1\/4*m**2 - 3*m.\nAnswer: -(m + 6)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 612\/(4\/1) - (-1 - -1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3cd656 (base 15) in base 11?\nAnswer: -1722063","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -5*u**2. Let d(y) be the second derivative of 0*y**2 + 53*y + 0 + 5\/6*y**3. Give d(o(w)).\nAnswer: -25*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1841?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z**4\/5 + 867*z**3 + 11160*z**2 - 13764*z - 120288\/5 = 0. What is z?\nAnswer: -1432, -14, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (1435\/840 - (-2)\/(-3)) + (-3)\/8. What is the closest to 40\/27 in -1, r, 2\/5, -1.3?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor x**3\/5 + x**2 - 10*x.\nAnswer: x*(x - 5)*(x + 10)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -26 rounded to the nearest one hundred?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 284 - u**2 - 88*u + 0*u**2 - 24 - 2196.\nAnswer: -(u + 44)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 144.8 + -145.8. What is the nearest to 1\/2 in k, -0.4, 1\/6, 0.1?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 19*d = -20*d + 26, 47 = z + 4*d. Calculate the remainder when 369 is divided by z.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -3*p - 24. What are the prime factors of a(-20)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*((sqrt(102)*1 - sqrt(102)) + sqrt(102)))\/(-5*sqrt(24)\/sqrt(4) + sqrt(6)))**2 - (2*sqrt(17) + -4 + (sqrt(136) - sqrt(136)*2)\/sqrt(8) + 0).\nAnswer: -sqrt(17) + 489\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*d**3 - 1326*d**2 - 24897*d + 26220 = 0. What is d?\nAnswer: -19, 1, 460","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(17) - 4*sqrt(17))*3 + sqrt(68)\/(sqrt(20)\/sqrt(5)) - (sqrt(85)*-5*-6)\/sqrt(5)*3.\nAnswer: -98*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 201094386.\nAnswer: 2, 3, 97, 167, 2069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -15997 - -28024. What is the units digit of l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-108)\/63 + (-69)\/21 + 3\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13934456.\nAnswer: 2, 1741807","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -s**3 + 16*s**2 - 36*s + 16. What is y(14)?\nAnswer: -96","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*j = 3*f - 15*j + 10, -5*f + j = -14 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 7 + -7. Suppose -2*o + t*o = -12. Let l = o - 6. Which is greater: -2\/3 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -4*((-28)\/(-8) - 4). Suppose j - 3*j = 8, -u*v + 3*j = -18. Solve -v*o + 2*o - 5 = -2*y, -3*y = -5*o - 4 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find x, given that x**2\/2 - 10675924*x - 21351849\/2 = 0.\nAnswer: -1, 21351849","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k**4\/9 + 89*k**3\/3 - 13690*k**2\/9 - 36344*k = 0. What is k?\nAnswer: -308, -18, 0, 59","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -z**2 - 10*z. Let l(q) be the second derivative of q**3\/3 + 9*q - 2. Give l(f(u)).\nAnswer: -2*u**2 - 20*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v + 210 = 7*v. Suppose 0 = -3*g - 3*m + 42, 5*g - v = 2*m + m. Calculate the greatest common factor of 2 and g.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -17c31 (base 13) to base 12.\nAnswer: -22760","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 3*n = -54, 2*b = 5*n + 15 + 15. Suppose -2*c + 85 = a + 3*c, -3*c + 447 = 5*a. What is the greatest common factor of b and a?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 415541 greater than 19530366\/47?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 8084 rounded to the nearest one thousand?\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (147 + -64 - 137) + -11?\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = r**2 + 3*r - 5. Let g be y(-5). Suppose -g*q = -2*i - 105, -4*q = -5*i - 0*i - 101. Calculate the remainder when q is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -302*g - 2*g**2 + 86*g + 102*g + 100*g - 32 in the form u + y*g + p*g**2 and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 0 - 1 + (1 + 0 - 2)*(-5 + 4 + 3) + 0 + 1 + 1)*(4*w - w - 4*w).\nAnswer: 3*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 565091 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -z**2\/2 + 6441*z\/2 - 38574.\nAnswer: -(z - 6429)*(z - 12)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-27)\/36 - (-75)\/116. Let t = d + 35\/58. Which is greater: -7 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 22247228 and 1668.\nAnswer: 556","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = c + 3*d - 98, -4*d + 4 = -0*d. Suppose -4*b = -2*b - 48. Calculate the remainder when c is divided by b.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*g - 5 = 10. Sort -2, 5, -4, g.\nAnswer: -4, -2, g, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/9? (a) 4 (b) -1\/2 (c) 0.286 (d) -1\/398 (e) 11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 9\/5 + -53\/35. Suppose 0*v = j + 3*v + 12, -v - 4 = -3*j. Let d = -1.09 - -0.09. What is the biggest value in a, j, d?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1419 - -1427. Let j(x) = -x**3 + 10*x**2 - 21*x + 45. What is j(k)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 408406 to the nearest integer?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = -3*b - 0*m + 2269, -4*b + 3027 = 3*m. Calculate the highest common divisor of b and 28.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fmo when three letters picked without replacement from {m: 9, o: 1, f: 1, t: 5, s: 4}.\nAnswer: 1\/760","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -12699572 - -4349572. Round q to the nearest one million.\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -313*m**3 - 1227*m**2 wrt m.\nAnswer: -1878","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is eight fifteenths of a minute in seconds?\nAnswer: 32","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 56 and 270543.\nAnswer: 2164344","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -3 (b) 79\/2 (c) -2\/69\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(20) + 0 + sqrt(15)\/(-2*sqrt(3)) - (sqrt(80) + 6*(sqrt(80) - (sqrt(80) + -2*sqrt(80))))**2.\nAnswer: -13520 + 3*sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -18, 3, 4 in decreasing order.\nAnswer: 4, 3, -3, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -23, -54, -101, -164?\n\"Answer: -8*r**2 - 7*r - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -456.035 - -456. Let y = -438 + 437.035. Let t = m + y. Sort -3, 39, t in ascending order.\nAnswer: -3, t, 39","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-a + 0*a + 4*a)*(-15*a + 48 - 31 - 14).\nAnswer: -45*a**2 + 9*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 753959*j**2 + 3021246*j.\nAnswer: 1507918","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 34 and 26537.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2813 to the power of 1\/3, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i**5\/3 - 30*i**4 - 430*i**3 - 4990*i**2\/3 + 5100*i + 13872 = 0. What is i?\nAnswer: -17, -12, -2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -74*p + 787 + 217 + 180 = 0 for p.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1783, 1785, 1787?\nAnswer: 1789","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -523003\/6 greater than or equal to -87167?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 96937 and 279.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) be the third derivative of b**6\/1080 - 11*b**5\/360 - b**4\/6 + 53*b**3\/6 - 66*b**2. Let v(n) be the first derivative of w(n). Find t such that v(t) = 0.\nAnswer: -1, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s**(7\/5)\/s*s)\/(s**(-2)\/s)*s\/(s\/(s*s\/((s\/s**(-19))\/s)*s))*s*s\/(s*s*s\/s**(1\/12)))**29 assuming s is positive.\nAnswer: s**(-20039\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 429 is divided by 177?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*u**2 - 3*u**2 + 6*u**2)*(-u + u - 3*u**2)*(-2*u + 4 - 4)*(-565 + 1091 - 356 + (0 + 4 - 6)*(1 - 4 + 1) + 4 - 4 + 1 - 2 + 2 - 2).\nAnswer: 1038*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 52\/13953 and -58\/15?\nAnswer: 69765","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -12*p**3*u**3 - 30231*p**2*u**3 - 2*p*u**3 - 13*p*u**2 + 14626*u**3 wrt p?\nAnswer: -72*p*u**3 - 60462*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = -61*h + 59*h - 1, -16 = -4*g - 3*h. Let j(l) = -6*l**2 + 8*l - 1. Let z(c) = -11*c**2 + 15*c - 2. What is g*j(x) - 4*z(x)?\nAnswer: 2*x**2 - 4*x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3598 - 2747. Calculate the greatest common divisor of 111 and q.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 345033561 and 435?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2 + 7. Suppose 3 = c + d. Let v be (7 - (c + 3)) + -1. Solve -v*h + 10 = -l, -l - h - 4 + 0 = 0 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-7)\/(-2) - (42\/(-12))\/(-7). Suppose 5*b + 20 = 5*o, -s*b + 3*o = -5*b + 17. Let g be 2 + 0 + (-20)\/18. Is b at most g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 95261 - 1237254\/13. Let n = -87 + q. Determine v, given that -n + 16\/13*v - 10\/13*v**2 + 2\/13*v**3 = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -210*q**3 + 153*q**2 - 4*q. Let l(w) = w**3 - 2*w. Let n(k) = d(k) - 2*l(k). What is the third derivative of n(h) wrt h?\nAnswer: -1272","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xyry. Give prob of picking 1 x and 1 y.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -3, -1\/8, -54, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -3487*v + 1405407. What is d(403)?\nAnswer: 146","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (2\/5)\/(-1)*(-380)\/(-988). Let s = -13 + 12.85. Let p = s + -0.15. Which is the nearest to -5? (a) -1 (b) p (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3570 and 114.\nAnswer: 67830","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -559\/2 - -93. Let j = -186 - a. Let s = -2 - -5. Is j at most s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -158*c - 335 = 771 for c.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -9 - -0.6. Let y = p - -8.3958. What is y rounded to 2 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 29700 is divided by 147?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 5\/4 of a litre?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 2*j**2 - 46. Calculate p(14).\nAnswer: 346","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 73.9 + -74.2. Sort 5, b, -24 in ascending order.\nAnswer: -24, b, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -15052, -14527, -14002, -13477?\n\"Answer: 525*o - 15577","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) be the third derivative of -z**5\/60 - 17*z**4\/8 - 81*z**3\/2 + z**2 - 8*z - 23. Determine b(-5).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 + (-20)\/(-16) + -7?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + 2*q - 178 = 103, 2*q + 384 = 4*v. Does 24 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 42533 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 529 or 531?\nAnswer: 531","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + 6 + -8 + -4 - -6?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -a**3 + a**2 - a + 108. Let j be s(0). Let o = j + -71. What is the remainder when o is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 595 minutes before 9:35 PM?\nAnswer: 11:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 13, o: 5}. Give prob of sequence oobb.\nAnswer: 13\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -545 - -0.21\nAnswer: -544.79","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor r**2 - 1093*r.\nAnswer: r*(r - 1093)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve a - 16 = 4*k, 0 = -a + 2*k + k + 13 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 111 is divided by 9?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -343\/783 + 180029\/241164. Let p = -1\/16646 - -46966\/8323. Find the common denominator of p and v.\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 9*q**2 + 386*q - 48. Let l be j(-43). Which is the third biggest value? (a) 2\/7 (b) -6\/7 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + v + 2 = 4, 2*v + 2 = 0. Put -11, t, -5 in decreasing order.\nAnswer: t, -5, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hhllhl. Give prob of sequence hlhh.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 547 minutes after 7:33 PM?\nAnswer: 4:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-8)\/6*(-54)\/96. Let h(k) = -2*k**2 - 103*k - 341. Let q be h(-48). Sort t, q, 2\/9 in ascending order.\nAnswer: q, 2\/9, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = d**2 + 43*d + 87. Let n be u(-41). Solve 6 = -3*q - 3, n*f = 2*q + 26 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -2, 6, 14?\n\"Answer: 8*w - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-261 - 75896*l - 273 + 793 - 259)*((1 + 0 - 2)*(-2*l + 6*l - 2*l) - 2*l - 4 + 4 - l + 0 + 0).\nAnswer: 379480*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1103 + -20303?\nAnswer: -13200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence btpt when four letters picked without replacement from ppdtjtttbbtpdpbbt?\nAnswer: 1\/119","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5272617?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1050?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 13518 - 104*l - 13518 + (-1 + 1 + 4)*(3*l - 4*l + 6*l) in the form x + k*l and give k.\nAnswer: -84","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 220022 + -11212?\nAnswer: 201110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (164\/(-1148))\/(-9*12\/(-4914))?\nAnswer: -13\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (24\/32)\/(18\/(-16)). What is the nearest to q in 5, -1\/11, -4?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/2 in -0.2, -1\/2, -0.4, 8?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -29.9422 + -5.\nAnswer: -34.9422","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1548*x**2 + 1531*x**2 - 4572*x**2 + 1524*x**2.\nAnswer: 31*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -13.72, 14, 1, -1?\nAnswer: -13.72","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 4*j + m + 92 = 0, 0 = -2*j - m - 180. Suppose -17 - 8 = -3*r - 2*q, 3*r - 5*q = 32. Find the common denominator of ((-6)\/r)\/(j\/318) and -181\/30.\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18837 = -271*i + 354*i - 29469. Is i a multiple of 40?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 8\/39391 and 1\/77.\nAnswer: 275737","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (-22*p + 2*p - 8*p + (2 + 0 - 4)*(-3*p - 2*p + 7*p))*(-25*p**2 + 19*p**3 + 25*p**2) as c + w*p + a*p**4 + g*p**3 + b*p**2 and give a.\nAnswer: -608","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1442798?\nAnswer: 2, 7, 257, 401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*w - 273 = 735. What is the highest common factor of 126 and w?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 233045.\nAnswer: 5, 127, 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (64*w**3 + 46*w**3 - 2 - 190*w**3)*(-w + 2*w + 0*w) to the form g*w**2 + r*w**3 + b + t*w + l*w**4 and give l.\nAnswer: -80","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 18833 and 222.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(44)\/sqrt(2))\/sqrt(11) - (sqrt(98) + 0))**2.\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-6)\/5)\/(-4 - (-157)\/40). Let s be u\/900*(-5)\/2. Which is bigger: 0 or s?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -500 by 4.\nAnswer: -125","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 120 and 42020.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 222453 and 1819.\nAnswer: 3781701","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -17, -72, -163, -290, -453, -652?\nAnswer: -887","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = k**2 + 24*k - 637. Determine b(-43).\nAnswer: 180","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4\/(-1)*295085\/(-70)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-10)\/(-5) - 6\/3 and -51\/5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 139 a factor of 62133?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -3 + 0 + 1 - -18. Suppose 2*q = -3*r + 2, r + o = -3*q - q. Let c(y) = y**3 + 5*y**2 + y + 7. Give c(q).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 600656873 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 11*b - 3*b - 13*b**4 + 14*b**4 + b**3 + b**2 - 7*b to g*b + k + j*b**2 + y*b**4 + z*b**3 and give j.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 379064326?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 107894 to the nearest integer?\nAnswer: 328","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -18 + 18. Suppose 5*w - 9680 = -0*w + z, h = -w - 4*z + 1915. Let n = 3052 - w. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 19 - -2. Suppose -2*w = 7 - n. Let r(d) = -9*d**3 - 3*d**2 - 5*d - 3. Let g(a) = 13*a**3 + 4*a**2 + 7*a + 4. What is w*r(f) + 5*g(f)?\nAnswer: 2*f**3 - f**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 175700 rounded to the nearest one thousand?\nAnswer: 176000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 131 + -3011\/23. Suppose 5*d + 17 = 7. Which is the closest to -1\/3? (a) 4 (b) t (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*w - 6*g + 9*g - 22, -4*g - 4 = -3*w. Solve w*n + 2 = 5*n for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31 = 5*g - 34. Let l = 13 + g. What is the remainder when l is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -f + 22. Let y(g) = -45*g - 180. Let t be 20\/(20\/5) + -9. Let z be y(t). Calculate c(z).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) be the second derivative of 43*h**7\/42 + 7*h**3\/2 - h**2\/2 + h. Find the second derivative of s(k) wrt k.\nAnswer: 860*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 653*u - 1060. Calculate q(4).\nAnswer: 1552","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 4510 to the power of 1\/2, to the nearest integer?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-35)\/(-28) - 1)\/((-10)\/24)?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) be the second derivative of -f**3\/6 + 60*f + 2. Let k(s) = -12*s**2 + 132*s. Give 2*k(u) + 264*w(u).\nAnswer: -24*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (((-159)\/2)\/3)\/((-7)\/14) is divided by 20.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -53\/6 and 89\/82.\nAnswer: 246","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*6*(sqrt(567) + sqrt(567) + 1)*2.\nAnswer: 12 + 216*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 - 7 + 2)*((-3 - 2 + 3)*(-1 + 4 - 1) + 0 - 4 + 1) - 1 + 4 + 4)*(-2*q + q + 3*q).\nAnswer: 84*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 70*t**2 - 3439375*t + 3439375*t + 25*t**2.\nAnswer: 95*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w - 44 = 4*b, 15*w - 45*w - 3*b = 330 for w.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 520 minutes after 9:41 AM?\nAnswer: 6:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 58*z + 11. Let y(t) = -26*t - 5. Let r(s) = 6*f(s) + 13*y(s). Let i(w) = -169*w. Calculate i(r(g)).\nAnswer: -1690*g - 169","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (720\/(-32) - -20)*36\/15.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12*(-1)\/(-1)*210\/(-48)*1040\/3640.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 55 = -4*k, 5*k + 32 + 0 = x. Sort x, -1\/2, 0.2 in increasing order.\nAnswer: -1\/2, 0.2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 2 + 0 = 0. What is the first derivative of i*w + 3 + 2*w - 2*w wrt w?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.605431 to 2 decimal places.\nAnswer: -0.61","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -254.553 times 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find s, given that -2*s**3\/9 + 2083882*s**2\/3 - 18060198*s + 1056519386\/9 = 0.\nAnswer: 13, 3125797","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 770173880.\nAnswer: 2, 5, 7, 29, 94849","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101 - -11110010?\nAnswer: 11101101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-156)\/117*(-15)\/4.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 673826591 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 22, 76, 140, 208, 274?\n\"Answer: -h**3 + 11*h**2 + 28*h - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -9672 > -9671?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -m**2 + 7*m. Let x be b(6). Let v be ((-24)\/(-126))\/(x\/28). Factor v*z**2 + 0 + 4\/9*z**4 + 2\/9*z + 10\/9*z**3.\nAnswer: 2*z*(z + 1)**2*(2*z + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7 (base 9) to base 10\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (3 + -5 + 2)\/(-1). Suppose 4*j = -u*j + 16. Suppose 5*l - 10 = 0, j*l = -3*w + l + 42. Is w equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vs when two letters picked without replacement from {g: 2, n: 1, v: 1, m: 2, s: 2}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*r**2 - 4*r**4 - 4*r**2 + (3*r**3 + 3*r**3 - 4*r**3)*(-4 - 4*r + 4))*(2 + 0 - 4)*(-7*r + 25*r - 60*r).\nAnswer: -1008*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 231224 - 416494. Round u to the nearest 1000.\nAnswer: -185000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 987766\/11 - 89794. Factor -2\/11*p**3 - 24\/11 - 6\/11*p**2 + g*p.\nAnswer: -2*(p - 2)*(p - 1)*(p + 6)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*x**2 - 18*x**2 + 21*x**2.\nAnswer: x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x = 4*z - 96, -2*z + 3 = -5*x + 75. Suppose 4*d + 4*l - 36 = 0, 0 = 2*l - 8. Let t = d + x. What is the remainder when t is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 33 and 296923.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 23743 (base 10) to base 8.\nAnswer: 56277","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -3953*c*u + 11864569*c + 1764*u wrt u.\nAnswer: -3953*c + 1764","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: ((-8)\/6 - 0)\/((-180)\/54)\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 370.403 take away -50.43754?\nAnswer: 420.84054","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 5 - (-1 - -9) - -5\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 88400 to the power of 1\/4, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -129 - -1417\/11. Let p = -0.34 - -0.24. What is the smallest value in j, 2, p?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 489791602?\nAnswer: 2, 73, 3354737","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 23 - 30. Let n = -0.2 + 0.1. Which is smaller: x or n?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 2665660 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = -3*o - 1608, -3*a + 495 = -4*o - 1614. Let z = 722 + o. Does 27 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l and 2 i when four letters picked without replacement from {i: 2, l: 11}.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4.556507 tonnes to micrograms.\nAnswer: 4556507000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 2\/3699 (b) 1\/9 (c) 5 (d) 7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7*n**3 - 4*n**3 - 23 + 24 - 4*n**3 + 4*n to the form c + v*n**2 + g*n + y*n**3 and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 3*c**2 - c + 2. Let q(f) = 9*f**2 - 3*f + 5. Let v(m) = -4*q(m) + 11*r(m). What is v(2)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 5*z - 7 - 4*z - 3*z. Give w(-6).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(-3*1*sqrt(363)*-3*4 + -4)*4.\nAnswer: -96 + 9504*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1160 and 3288484.\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 5*a**4 - 403*a**2 - 18321.\nAnswer: 20*a**3 - 806*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 26894690?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bncnbiifniccz. Give prob of sequence fnnz.\nAnswer: 1\/2860","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 5841 divided by -11?\nAnswer: -531","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*p - 12 - 28. Suppose -25*v - p = -26*v. Solve -v = -6*l + 8*l for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 50 (b) -39 (c) 11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 165 minutes after 11:04 AM?\nAnswer: 1:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*r**2\/3 + 13120*r - 432718\/3.\nAnswer: -2*(r - 19669)*(r - 11)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2972*x - 2994*x - 73 = -7 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 69 is divided by (-2 + 51)*30\/(-3465)*-33.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 1, q: 2, f: 1}. What is prob of sequence af?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 7955 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -31 - -24553?\nAnswer: 24522","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yr when two letters picked without replacement from yorsohsjy.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((87\/(-58))\/((-3075)\/20))\/(18\/45).\nAnswer: 1\/41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n = 14 - 54. Let i = n - 1. Let c = i - 3. Solve z - 19 = -c*d, -2*z - 5*d + 17 = -9 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -303690 divided by -530\nAnswer: 573","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 1, a: 2, k: 1, y: 1}. Give prob of sequence ky.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of w**4 - 1725*w**3 + 11*w**2 + 18683 wrt w?\nAnswer: 4*w**3 - 5175*w**2 + 22*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 165 or 828\/5?\nAnswer: 165","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -12403*(108\/52 + -2). Let l = 1909\/2 + i. Find the common denominator of l and -137\/18.\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) be the third derivative of v**5\/150 + 9*v**4\/20 - 124*v**3\/15 - 1236*v**2. Factor g(n).\nAnswer: 2*(n - 4)*(n + 31)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*r - 3*r + 0*r)*(-26*r**2 - 15*r**2 - 99*r**2).\nAnswer: 980*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -18 + 13. Let j(t) = -t**3 - 4*t**2 + 4*t + 2. Let b be j(n). Let q = 14 - b. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 2*l**2. Let x(q) be the second derivative of 0 + 4*q + 0*q**3 - 2\/3*q**4 + 0*q**2. What is m(x(a))?\nAnswer: 128*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -6 - -7. Let u be (s - 2)\/((-2)\/4). Suppose u*d = 5*c - 0*d - 29, -31 = -5*c + 3*d. Solve -3*t - c*l = -13, -4*t - 3 = -3*t - 2*l for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7537652 a multiple of 881?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6*(-48)\/(-1512)*(-9)\/(-2).\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -z**2 + 4*z + 48. Let y be c(9). Solve 3*t + t + 9 = 3*o, 0 = -o - y*t + 3 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-6 + 5)*0*3\/(-6). Let g = 0 + -1. Let s = g - -2. Solve s = -j - z for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 1068912522, 1068912521, 1068912520, 1068912519, 1068912518?\n\"Answer: -b + 1068912523","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 23, 112, 285, 560, 955, 1488, 2177?\nAnswer: 3040","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -11c59d + -3?\nAnswer: -11c5a0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1 - 1121020?\nAnswer: -1121012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1454149027 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -26*k + 15. Let n(u) = 16*u - 9. Let t(x) = -3*c(x) - 5*n(x). Let s(f) be the third derivative of -11*f**5\/60 - f**2. Calculate s(t(q)).\nAnswer: -44*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w when two letters picked without replacement from vwwgwgvw?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-38*(-32)\/20064)\/(1\/(-6)).\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -279423 times -3?\nAnswer: 838269","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 1106878, 2213739, 3320600, 4427461, 5534322?\n\"Answer: 1106861*t + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine v so that v**4\/2 - 11*v**3\/2 + 33*v**2\/2 - 5*v\/2 - 25 = 0.\nAnswer: -1, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.4 (b) -3 (c) -2 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2734 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put together 10762 and -147.304.\nAnswer: 10614.696","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 120 is divided by 45?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + (4 + -8 - -2).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1170210653?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -47416 or -47453?\nAnswer: -47453","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -7 (base 11) to base 15.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3, -293, -0.5, -0.02, 1, 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1598581 to the power of 1\/6, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3633982.\nAnswer: 2, 11, 165181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1673\/202 - 2727005\/1414. Let s = t + 1932. Find the common denominator of ((19\/28)\/1)\/((-5)\/20) and s.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 1 = 74. Suppose j - 2*f - 2*f = -k, -4*j + 5*f = 5. Let s = 103 - 100. Solve -o = -j*p - 1 - 8, -2*p + o = s for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 24296?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1244083 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -c**3 - 5*c**2 - c + 6. Suppose -3*s = 4*x + 11, -23 = 5*s + 4*x - 2*x. What are the prime factors of a(s)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 45*(-67)\/((-58290)\/(-812))\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 775 and 2077.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16 = 4*a, 2*p + 5*a - a = -8 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 360, 957, 1552, 2145, 2736, 3325, 3912?\nAnswer: 4497","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -11 + 4 - -5 - -4\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -13 - (-91 - (-9 + -5)) - (1 + -1 + 11)?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 28 + -27. Let s = 1 + -59. Let z = s + 176\/3. Sort g, -0.04, z, 0 in increasing order.\nAnswer: -0.04, 0, z, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d = d - 5. Suppose d = -a + 8. Solve -v = a, 0 = t - 3*t - v + 5 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -53, -5, -4, -1.63, 0.078, 1 in ascending order.\nAnswer: -53, -5, -4, -1.63, 0.078, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 4, s: 2}. What is prob of sequence ss?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1*(-12)\/(-4)*(-2)\/3. Let l be 2*o + (21 - 7). What is the greatest common factor of 90 and l?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -49*h + 267*h - 442 + 6 = 0 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) be the first derivative of -13 + 1\/2*n**2 - 9*n. Calculate d(6).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence imi when three letters picked without replacement from mmmimmmi?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -4 - (-186)\/51*1. Let h = -72\/85 + a. What is the biggest value in 0.2, 24, h?\nAnswer: 24","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 495 - 252. Let s(x) = 175*x - 19. Let d be s(4). Suppose 3*p - 3*n = d, -3*n - 2*n = -p + c. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -26595, -106929, -240979, -428745, -670227, -965425?\n\"Answer: -26858*t**2 + 240*t + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -k + 0*k + 2*k + 3 + 2*k - 3 + k + 3 - 3 + (k - 2*k - k)*(-1 + 0 + 0) - 2 + 3*k + 2 + 3*k - 2*k - 4*k.\nAnswer: 6*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(396)*4 - (sqrt(11) + -3*sqrt(11) + -1) - (sqrt(121) - (sqrt(121)*1*-5 - sqrt(121)))\/(sqrt(33)\/sqrt(48)))**2.\nAnswer: -4*sqrt(11) + 45","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 709 minutes after 8:29 PM?\nAnswer: 8:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -86*p + 787 = -275 - 228 for p.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 1043 divided by -360\nAnswer: -1043\/360","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 108550957.\nAnswer: 108550957","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.34 + -0.06. Let c be (-7)\/(-147) - (-3 + (-19)\/(-7)). Which is smaller: v or c?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*n + 34 = 10. Suppose n*m = 58 + 470. Suppose 0 = -7*o - 48 + m. Is 12 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1273 divided by -7.\nAnswer: -1273\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -14*m**2 - 15*m. Let u(q) = 5*q**2 + 5*q. Let x(h) = -6*d(h) - 17*u(h). Let s(p) = -p**3 + 6*p**2 + 7*p + 3. Let w be s(7). What is x(w)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 673*n - 83. What is the hundreds digit of l(2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 36499.\nAnswer: 17, 19, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 33 = 5*d. Let v = -78 + 256. Suppose -v = -4*f - 2. What is the highest common divisor of d and f?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11\/(-10)*-3 - (-3537)\/(-2358).\nAnswer: 9\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 129 - 129. Let t = c + 39. Suppose -5*w = 4*s - 62, -2*w - 52 = -6*w - 2*s. What is the remainder when t is divided by w?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7538\/(-48997) - 940\/(-26)?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 760\/104 - (-7)\/(-1). Which is the second smallest value? (a) 4 (b) -5 (c) 0.2 (d) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 j when three letters picked without replacement from unnjjjjjujj.\nAnswer: 7\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 992235.4t?\nAnswer: 992235400000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 7*f + 837. What is k(-101)?\nAnswer: 130","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.37 to the nearest integer.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.2 - -0.204. Let l = 0.0148 - j. Round l to three dps.\nAnswer: 0.011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 693 minutes after 9:11 PM?\nAnswer: 8:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 197084 is divided by 9353.\nAnswer: 671","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -22 (base 13) in base 2?\nAnswer: -11100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 - 2 = -2*p. Let v be ((-4)\/32*-4)\/(1\/6). Is p smaller than v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0001736 rounded to 5 dps?\nAnswer: -0.00017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -9 - -14. Suppose a + 0*b = -u*b + 2, -5*a + 3*b + 10 = 0. Solve -g = 4*g - 2*q + 8, 2*g = a*q - 8 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2*-1)\/(101\/101)*1\/22?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.045 - -14.955. Let f = -13.95 + b. Let p = f + -0.75. Is 0.9 at most as big as p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.04225 and 0.2.\nAnswer: 0.00845","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xp when two letters picked without replacement from xxfnxffpfxffffpnfxpf?\nAnswer: 3\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -4\/27 (b) 14 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find a such that 29*a**5\/2 - 1449*a**4 - 13933*a**3 - 43236*a**2 - 91179*a\/2 - 2943 = 0.\nAnswer: -3, -2\/29, 109","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) 3\/4 (b) 0.29 (c) 6 (d) 8 (e) 1\/17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(605) + -2*sqrt(605) + sqrt(605) - sqrt(605))**2*-1 + (-3 + 1*sqrt(605) - sqrt(605) - sqrt(605)).\nAnswer: -608 - 11*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -12030101112 (base 4) in base 3?\nAnswer: -10001110111210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -3, -4, -1, 6, 17?\n\"Answer: 2*q**2 - 7*q + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -132719, -132461, -132205, -131951, -131699, -131449?\nAnswer: -131201","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 30549.\nAnswer: 3, 17, 599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 12 and 2448?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -v**3 + 8*v**2 + 14*v - 45. Calculate z(9).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) be the second derivative of -q**3\/3 - q. Suppose m - 4 = -2, 0 = -2*z - 3*m + 12. Let c(g) = g + 5*g - z*g. Determine d(c(t)).\nAnswer: -6*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -30*z + 60. Let u be w(2). Let h(k) = 7*k - 2. Calculate h(u).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 101 - 194 = -i - m - 102, -163 + 135 = 3*i + 4*m for i.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 91.17 + -92. Let a be (-5 - -22 - (-5 - (1 + -15))) + -9. Sort a, i, 5\/2.\nAnswer: a, i, 5\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -425515\/27 - -15762. Find the common denominator of q and -56\/3.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = q**3 + 3*q**2 + 8*q + 13. Let j be t(-4). Suppose k + 2*a + 29 = 0, a - 177 - 12 = 5*k. Is j smaller than k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -192, 2, -302 in ascending order.\nAnswer: -302, -192, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 0.1*15\nAnswer: 1.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) be the third derivative of -r**6\/120 + r**4\/24 + r**3\/3 + 10*r**2. Let q be u(-3). Suppose 23*w + 123 = q*w. What is the tens digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 254, 257, 262, 269, 278?\nAnswer: 289","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 66 and 3?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -160658 + 80316 + 2*r + 80342.\nAnswer: 2*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j**4 - 6*j**3 - 2*j**2 + 6*j = 0 for j.\nAnswer: -1, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) be the second derivative of 5*w**4\/6 - 3*w**3\/2 - 8*w**2 + 20*w. What is the tens digit of m(5)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = a**3 - 6*a**2 + 7*a - 7. Let t be n(5). Suppose 546 = t*v - 0*v. Suppose 0 = -2*j + v + 240. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 11146?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:40 PM and 2:34 AM?\nAnswer: 414","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - i - 14 = 5*n, 5*i + 5*n + 20 = 0. Sort 0, -2, i in ascending order.\nAnswer: -2, i, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -34 - -29. Let t(j) = j**2 - 15*j + 2. Let q be t(w). Let b = q - 48. List the prime factors of b.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -16.08 + 15.58. Let g = 2 - 0. What is the third smallest value in p, g, 0.2?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -55*i + 48 = -43*i. Calculate the smallest common multiple of i and 6.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 882873 to the power of 1\/2, to the nearest integer?\nAnswer: 940","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2572*z = 159333 + 46427 for z.\nAnswer: -80","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 382 - 2428?\nAnswer: -2046","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = h**3 + 4*h**2 - h + 5. Calculate v(-4).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2\/(-5) + (-1 + (-3146351)\/65)*-1.\nAnswer: 2, 24203","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 3, 1, 5, 186 in descending order.\nAnswer: 186, 5, 3, 1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v*v**(1\/11)\/v*v*(v*v*v*v**(-26))\/v*v*v**(-17)*v**(1\/56) assuming v is positive.\nAnswer: v**(-23957\/616)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 307239 and 10879747?\nAnswer: 2179","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 9713 * 0.23\nAnswer: 2233.99","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(1\/11)\/(z\/z**(2\/7)))**(-27)\/((z**(-1\/10)\/z)\/(z\/(z*z**0*z))*((z*z**(-4)\/z)\/z)\/z**(-3)) assuming z is positive.\nAnswer: z**(14577\/770)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -6 + 5.94. Let d = k + 1.06. Let p = 1490 - 1488. Which is the nearest to p? (a) d (b) 2\/3 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -j**3. Let w be f(-1). Let h be ((-18)\/(-45))\/(14\/10 - w). Let k be 30 - (h + 0 + 4). Solve 5*r = -k, 0 = -5*y + 3*r - 0*r - 5 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.985713 years in millennia?\nAnswer: 0.004985713","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 638 and 61289789.\nAnswer: 319","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.214695 - -43.818895. Let t = g - 23.6848. Let q = t + -19.9. What is q rounded to 3 decimal places?\nAnswer: 0.019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 468 is divided by 157.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -171, 1455, 4103, 7719, 12249, 17639, 23835, 30783?\nAnswer: 38429","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4236002 (base 8) to base 12.\nAnswer: 46576a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 15 and 417807405?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 14 - -6. Suppose 0 = 5*t - 5*f, 9 = 5*t + 3*f - 15. Suppose 2*s = -t*s - p. Which is the nearest to -2\/7? (a) s (b) -2\/5 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4517\/98 - -20\/49. Find the common denominator of v and -24\/7.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-605)\/(-30))\/(-11)*10*6\/(-165)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 53 and 8003?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 254421435 to the nearest integer?\nAnswer: 634","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 3 or 111?\nAnswer: 111","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -12*w - 39. Let i(d) = 18*d + 40. Give 5*c(t) + 4*i(t).\nAnswer: 12*t - 35","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -166*b**2 + 166*b**2 + 4 - 4*b - 2*b**3 to n*b**3 + i + x*b + a*b**2 and give i.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29 = -2*a - 3*k + 1, 4*k = 24. Solve a = 5*o - 4*q, -4*o + 11 + 1 = 4*q for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4375*w = -5972*w + 63880 for w.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -x**3 + 36*x**2 + 170*x - 386. Calculate a(40).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 2*d**2 + 2*d + 4. Let f(l) = 4*l**2 + 4*l + 9. Give -6*f(r) + 13*k(r).\nAnswer: 2*r**2 + 2*r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find s, given that 5*s**5 + 780*s**4 + 6025*s**3 + 15650*s**2 + 16320*s + 5920 = 0.\nAnswer: -148, -4, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 511956354 to the nearest integer?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 11774.4919 + 2262.2691. Let g = w - 14020.7610067. Let l = 16 - g. Round l to 6 dps.\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 110*c + 130*c + 40*c - 6720 = 0 for c.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -44134\/27 + 1634. Let f = m + -2\/27. Let r = -0.9 - -1. Is r at least f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 78 - 8*s**3 - 132 + 54.\nAnswer: -8*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1009 + -1009. Let u = 3 + 0. What is the closest to a in -0.1, u, 1\/6?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 3*j - 6. Let a(d) = 8*d - 18. Let y(l) = 6*a(l) - 17*v(l). Let w be y(-6). Let k = -34762 + 34798. Calculate the highest common factor of w and k.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.1512937 to 3 decimal places.\nAnswer: -0.151","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is five sixths of a day in seconds?\nAnswer: 72000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 23 = -9*t + 4*t, -2*r + 10 = 4*t. Suppose -t*z - 472 = -0*z. What is the common denominator of 6\/(-21) + z\/(-168) and -37\/14?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 2, k: 7, s: 11}. Give prob of picking 4 k.\nAnswer: 7\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) be the second derivative of -1\/3*g**3 + 2*g + 13\/2*g**2 - 5. What is a(7)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i, 1 x, and 1 a when four letters picked without replacement from {a: 1, x: 2, i: 2}.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -i**3*v - 245*i**3 + 478*i*v**2 + 3*i with respect to v.\nAnswer: -i**3 + 956*i*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*z = 66 - 45 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 126900780 and 220?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 676 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: Let x(m) = -15*m**3 - 974*m**2 + 118*m + 3471. Calculate x(-65).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:05 PM and 6:39 PM?\nAnswer: 154","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -13, -36, -65, -106, -165, -248, -361, -510?\n\"Answer: -b**3 + 3*b**2 - 25*b + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -21 (base 11) to base 5\nAnswer: -43","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 6679307 and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 90865 divided by 18173\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find r such that -26*r**5\/3 + 1810*r**4\/9 + 4078*r**3\/9 - 4958*r**2\/3 + 10664*r\/9 - 1600\/9 = 0.\nAnswer: -4, 8\/39, 1, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 5682 * 0.019\nAnswer: 107.958","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 2 j when three letters picked without replacement from jjjjjjjjjjjjjjjsjj.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 497214909?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 103901938?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -5*u + u + 8*u - 2. What is q(2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 399, 486, 623, 804, 1023, 1274?\nAnswer: 1551","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*d**2 + 2*d**2 - d**2 + (-38 + 84 + 88)*(0*d**2 + 2*d**2 + 0*d**2).\nAnswer: 266*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 6173126.2 rounded to the nearest one thousand?\nAnswer: 6173000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -8 - -5. Suppose -5 = -25*g + 30*g. What is the smallest value in j, -4, g?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b + 4*u - 19 = 0, 3*u + 6 = 5*b - 6. Suppose b*m - 5*m = -6. Solve -2*k = -5*a + 3, -m*k - 8*a - 17 = -3*a for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20d946 (base 16) in base 12?\nAnswer: 87999a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 5, -454, -1\/5, 2, 33 in decreasing order.\nAnswer: 33, 5, 2, -1\/5, -1, -454","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 27926 + -39657. Let z = -7232 - l. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*z + 1688 = 5*n - 3*z, 0 = -3*n + 5*z + 1035. List the prime factors of n.\nAnswer: 2, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = 3 - 1. What is the tens digit of i - 1 - -1*28?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.05 and 203.188.\nAnswer: 203.238","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -m**2 - 39*m + 130. Calculate q(-42).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 9 (b) 0.3 (c) -1\/7 (d) -20 (e) 0 (f) 1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1152) + -2 + sqrt(224)\/sqrt(63) - (-2*((2 + sqrt(6)\/sqrt(3))*2)**2 + 0).\nAnswer: 46 + 172*sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -587927*m**2 - 389824?\nAnswer: -1175854*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.2872 - -181658159.\nAnswer: 181658158.7128","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -116967, -468661, -1055083, -1876233, -2932111?\nAnswer: -4222717","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*q + 2*s - 62, 3*s + 15 + 123 = 4*q. What is the highest common divisor of 154 and q?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uwuuiuuwuwuziuuu. What is prob of sequence uu?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (0\/(4\/4))\/((-16)\/(-8))\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from chvcrvhvcch. What is prob of picking 1 v, 2 c, and 1 r?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4268, -4348, -4428, -4508, -4588, -4668?\nAnswer: -4748","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let -v**2\/8 + 65*v\/8 - 57 = 0. What is v?\nAnswer: 8, 57","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 2*c - 2. Let u be 3 + 161 + -8 + c. Calculate the greatest common factor of u and 33.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.036 - -19.364. Let q = 17 - h. Let r = q + 1.4. Which is the nearest to r? (a) -0.3 (b) -0.1 (c) 1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 52817.\nAnswer: 52817","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) be the third derivative of b**3 - 5*b**2 + 0 + 0*b - 7\/24*b**4. List the prime factors of t(-3).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 a when three letters picked without replacement from {a: 4}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1368123 divided by 11.\nAnswer: -1368123\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/21609 less than or equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1926?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 40813 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -4213775 (base 11) in base 15?\nAnswer: -9bacde","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 0 - 1)*(-487050 - 459*o + 487050).\nAnswer: -459*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -s**3 - 5*s**2 - 5*s + 1. Let f be w(-4). Let y be 1\/f*(2 - -21). Let h = y + -5. Which is the closest to h? (a) 5 (b) -1 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 372 is divided by 38.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*k + d - 142 = -4*k, -104*k + 105*k - 30 = -3*d for k.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) be the second derivative of h**5\/60 + h**4\/12 + h**3\/9 + h. Factor z(b).\nAnswer: b*(b + 1)*(b + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 1, x: 1, h: 6, l: 4, b: 4}. What is prob of sequence ull?\nAnswer: 1\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n**5\/15 + 218*n**4\/15 + 7172*n**3\/15 + 12020*n**2\/3 - 142598*n\/15 + 75106\/15 = 0. Calculate n.\nAnswer: -47, -17, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -w**3 + 4*w**2 - 2*w - 1. Let k be q(2). Suppose h + 3*a + a = -4, -5*h = -k*a - 26. Find the second derivative of n**5 - n + 2*n**5 - h*n**5 wrt n.\nAnswer: -20*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 2*l - 1. Let n be z(4). Let h(q) = -5*q + 9. Let t(y) = 3*y - 5. Give n*t(s) + 4*h(s).\nAnswer: s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = c**2 + 5*c - 4. Let h be (-2)\/9 + (-470)\/(-90). Suppose h*b + 4*f = 3, 2*b = f - 4*f + 4. Let m(d) = -d**2 - d + 1. Calculate b*p(v) - 3*m(v).\nAnswer: 2*v**2 - 2*v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 48 divide 5808?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 36959 is divided by 280.\nAnswer: 279","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000000192289461 to seven decimal places.\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-102)\/68*(-16)\/6?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -28\/17, -1\/8, -988, 0.3?\nAnswer: -28\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -11724 divided by 6?\nAnswer: -1954","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 579, 1145, 1711, 2277, 2843, 3409?\nAnswer: 3975","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -162 divided by -18\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 101, 200, 277, 320, 317, 256, 125, -88?\nAnswer: -395","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -24*t - 52. Determine z(-22).\nAnswer: 476","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = b**3 - 8*b**2 - 10*b + 10. Let v be p(9). Suppose -x + 1 = -v. Let j = 6 + -10. Sort x, 0, j in decreasing order.\nAnswer: x, 0, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 14*d**3 + 3*d**2 + 62. Let m(u) = -15*u**3 - 4*u**2 - 62. Let b(i) = 5*m(i) + 6*z(i). Find the first derivative of b(x) wrt x.\nAnswer: 27*x**2 - 4*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fwqywvfyqvwvvvv. What is prob of sequence ywwv?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*r - 3, 5*r = 5*y - 99 + 19. Suppose -3*s - 3*m + 74 = -7, -s - 5*m + 15 = 0. Let q = s - y. Solve -a - 7 = 3*h, 2*h - a = -0*h - q for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2205726 micrometers in kilometers?\nAnswer: 0.0000000002205726","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -186041*p**2 - 819039*p wrt p.\nAnswer: -372082","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3\/29 - 107\/87. Sort -22, 0.1, d in descending order.\nAnswer: 0.1, d, -22","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 9*y**2 - 6*y - 6. Let v(t) = -7 + 2*t**2 - 4*t**2 + t + t**2 + 8. Suppose 2*d + 11*j - 15*j + 12 = 0, 3*d + 4*j + 78 = 0. What is d*v(l) - 3*n(l)?\nAnswer: -9*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-7 - -5) + (1 - -17). Solve j = -3*q + b, -b - 17 = 4*q + 2*b for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1148 less than -1203?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000073205 to six decimal places.\nAnswer: 0.000073","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-9)\/(-171))\/((-6)\/(-1311)) + 283\/(-26).\nAnswer: 8\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -85\/138274 and -21\/25007.\nAnswer: 2350658","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1000998 + 1001038. Factor 112\/3 - p*f + 12*f**2 - 2\/3*f**3.\nAnswer: -2*(f - 14)*(f - 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -202101 - -2?\nAnswer: -202033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -1979.21 times -2?\nAnswer: 3958.42","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ummumuummuumm. Give prob of picking 3 m and 1 u.\nAnswer: 42\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50*t + 14725 = 75*t. Calculate the greatest common divisor of t and 124.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -6 + 0. Let h = 2077\/5 + -6236\/15. Are h and m equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 67909*q - 4278267. What is k(63)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -4a (base 13) in base 11?\nAnswer: -57","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-23)*((i\/(i*i\/i**(-19))*i)\/i)\/i*i**(-27)*i*(i\/(i*(i\/(i**(-7)*i))\/i)*i)\/i)**(-6\/7) assuming i is positive.\nAnswer: i**(456\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1034933 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4457723.\nAnswer: 17, 19, 37, 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xoxz. Give prob of picking 1 o and 1 z.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 518 + -890. Let r = -372 - h. Solve r = -n + 3 - 2 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 12*n**2 + 0 + 3*n**3 - 4*n**3 - 9*n - 2*n - 5. Let q be r(11). Sort -2, -4, q, 25 in ascending order.\nAnswer: q, -4, -2, 25","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.17? (a) 1\/120 (b) -0.03 (c) 6 (d) -1 (e) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: 56202 (base 7) to base 5\nAnswer: 423123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 177 and 21.\nAnswer: 1239","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.06166 + 13327.67897?\nAnswer: 13327.74063","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2 + 1)*(6 - 4*w - 6) - 566 - 124*w + 76*w + 50*w.\nAnswer: -6*w - 566","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.14367 and -15.83.\nAnswer: -2.2742961","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -119 - -80. Let b = k - -38.99926. What is b rounded to 4 decimal places?\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -10120241022 - 4?\nAnswer: -10120241030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = l**2 - 4*l - 34. Let c be a(-5). Calculate the greatest common divisor of 88 and c.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -96*i - 434 - 503 = -265 for i.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 78588 a multiple of 74?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 265 - 148. Let r(c) = -c**2 + 6*c + 5. Let u be r(-9). Let n be (u\/(-30))\/(2\/6). Calculate the greatest common factor of t and n.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 4*i**2 + 48*i + 6. Let h be m(-12). Solve -4*b + 5 + 13 = -3*f, -h = 3*f for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/(o*o\/(o*o*o**(-10)))*o**(3\/2))\/(o*o*o*o*o*o*(o**(2\/7)\/o)\/o*o*o)**(-19))**(-2\/13) assuming o is positive.\nAnswer: o**(-1567\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -4*r. Let k(u) = 419*u. Determine k(t(o)).\nAnswer: -1676*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-11)\/m**(-3))**3*(m*m**(1\/3))**(-40)*m**(-2)*m*m**(-2\/11)\/m*m assuming m is positive.\nAnswer: m**(-2591\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13822963?\nAnswer: 7, 11, 179519","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m**5 - 164*m**4 - 2346*m**3 + 87008*m**2 + 2039048*m + 3713856 = 0. Calculate m.\nAnswer: -46, -29, -2, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -784d13 (base 14) in base 7?\nAnswer: -46504323","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/(f**(-19\/4)\/f))**(2\/35))**(1\/2) assuming f is positive.\nAnswer: f**(27\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2e - -93?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 135\/630*(-4)\/2.\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4 - 4.3. Let p = -384.9 - 25.1. Let s = p - -409. Is s equal to r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -v - 181. Let y be i(0). Let w = -110 - y. Is 19 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 176*v. Let l(c) = -2*c - 6. Let a(w) = w + 2. Let b(o) = -15*a(o) - 5*l(o). Calculate -208*b(k) - 6*g(k).\nAnswer: -16*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) be the third derivative of 1\/60*a**5 + 0*a**4 + 1\/15*a**6 + 0 + 5*a + a**2 - 3*a**3. Differentiate o(x) with respect to x.\nAnswer: 24*x**2 + 2*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-84)\/(-9))\/(4\/6). Suppose -55 = -3*a + f. What is the remainder when a is divided by 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 - (-12 - -24) - -17\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -9? (a) -2\/15 (b) -4\/3 (c) 0.5 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = 3*d - 455, -9*d + 6*d - 2*s = -454. What is the remainder when d is divided by 28?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 1 x when two letters picked without replacement from {o: 4, j: 5, m: 1, p: 3, a: 4, x: 1}?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -16 divided by -10?\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 20\/(-6) - 2\/3. Let c(b) = -b - 7. Let f be c(-8). Let n be 0*(-2 + 3\/f). Is l less than n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26 = 4*d - 92*t + 94*t, 6*d + 7*t = d + 55 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 21769?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*a + 2*a - 3*a)*((3 - 3 + 1)*(2 - 2 + 2) - 1 - 3 - 1)*((3 - 2 - 2)*(-3 + 0 + 1) + 1 + 3 - 6 - 7 - 1 - 22).\nAnswer: 90*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bqls when four letters picked without replacement from {g: 1, q: 1, l: 5, s: 1, r: 2, b: 5}.\nAnswer: 5\/6552","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -49 - -56. Let c be 1\/2*(5 - 1). Suppose 0 = o - c*o + 4. Calculate the remainder when k is divided by o.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -3*l**2. Let m(v) = -1160*v**2. Determine m(q(k)).\nAnswer: -10440*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*x**3 - 2*x**3 - 5*x**3)*(-7 - 5 + 34)*(x - x + 9*x) to a*x**2 + g*x + v*x**4 + z + r*x**3 and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -81.311 - -95.81996. Let t = j + -14.5. Round t to three decimal places.\nAnswer: 0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -11 + 15. Suppose y*q + 1 = -4*o + 3*q, -4*q - 4 = -2*o. Suppose o = -3*j + 15, 0 = 2*m - j - j - 4. Is m a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*u**2\/17 - 48*u\/17 - 864\/17 = 0. What is u?\nAnswer: -12, 36","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -0.5 (b) 0.1 (c) 74 (d) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -3*j**2 + 10*j + 7. Let z(l) = 5*l**2 + l - 1. Let g be z(1). Let x(n) = -n**2 + 5*n + 4. Let f(r) = g*x(r) - 2*y(r). What is f(-5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 6*v - 12 = 0. Solve -1 = -v*w - 16 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 14522.4 * 5.68.\nAnswer: 82487.232","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1\/32223 - 21487\/161115. What is the biggest value in t, -2\/9, 0.23, 5, -4\/5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*c + 3*n = 23, 780*c + 2*n = 772*c - 10 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g = -5*g + 35. Suppose 0*z + 3*a = z + g, -4*z - 8 = -2*a. Let u = z + 6. What is the biggest value in 0.1, u, -3?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t*t**(-3))\/t)**(-3\/13)\/(t**(3\/2))**(-33))**(12\/11) assuming t is positive.\nAnswer: t**(7830\/143)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 2*g = o + 10, -g = -2*o + 8. Which is the nearest to o? (a) 6 (b) 1\/2 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + 2*v = 6, v + 3*v - 12 = 4*o. Let r(t) = -t - 1. Let z be r(-1). Let m = z - -3. Solve -2*h + m - 1 = o for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*s + 22*s - 264*s**2 - 27*s - 7 to the form f*s + t*s**2 + l and give t.\nAnswer: -264","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1813276849 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 30397293?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = c**3 + 5*c**2 - 6*c - 8. Suppose -4*b = 5*n + 76 - 9, b = 2. Let p = 9 + n. Calculate v(p).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-4 - -3) + -4 + 0 + 6\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t**2\/7 + 1057682*t\/7 + 13749528\/7 = 0. What is t?\nAnswer: -528828, -13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Determine n, given that -2*n**2 + 255603848*n - 8166665889050888 = 0.\nAnswer: 63900962","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 3*o - 7. Let m(q) = 2*q**2 - q. Let v = 3 - 1. Let z be m(v). Let s be n(z). Solve 0 = g - 7*k + 3*k - s, 0 = 3*g - 5*k - 5 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1678685 divided by 5.\nAnswer: 335737","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = c**2 + 7*c + 32. Calculate the remainder when 46 is divided by n(-6).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 55*m**4 - 1130*m**3 + 7315*m**2 - 14700*m = 0.\nAnswer: 0, 4, 7, 105\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14 - 6*s - 12 - 2.\nAnswer: -6*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 358.129 tonnes to micrograms.\nAnswer: 358129000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -80576, -160562, -240548, -320534, -400520?\nAnswer: -480506","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 255*b + 877*b + 1443*b**2 - 1459*b**2.\nAnswer: -16*b**2 + 1132*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) be the first derivative of b**4\/4 + 2*b**3 - b**2 - 9*b + 1. Suppose 5*a + 44 = -4*u, 4*u + 2*a = -2*a - 40. What is the units digit of k(u)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -1423*r - 3. Let p(a) = -1451*a - 3. Determine 3*o(j) - 2*p(j).\nAnswer: -1367*j - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hl when two letters picked without replacement from iskpplh.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:46 PM and 2:56 AM?\nAnswer: 670","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 345805074.\nAnswer: 2, 3, 71, 270583","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 7 - 2a2?\nAnswer: -297","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (21\/(-3) + 3)\/(-2). Suppose d*t + 0*f + f + 2 = 0, 0 = 5*f. Let r(i) = -3*i + 1. Calculate r(t).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 26439 * -56\nAnswer: -1480584","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5274 and 144468.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) be the third derivative of q**6\/120 + q**5\/30 - q**4\/6 + 5*q**3\/6 + 13*q**2. Let k be w(-4). Let j = 11 + k. Solve -3*m + 3 = -j for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 16, 3, 8, 0.1, -152 in decreasing order.\nAnswer: 16, 8, 3, 0.1, -152","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -51*f - 25. Let y(b) = 45*b + 27. Let l(a) = -7*k(a) - 8*y(a). Give l(-13).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 32 divide 332905472?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 34958 is divided by 3884?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.0229 and 6?\nAnswer: -0.1374","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*y + 72 - 12 = 0. Let a = y - 13. Let d = 10 + a. Is d a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:27 AM and 10:20 AM?\nAnswer: 473","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1129 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -4*a**3 + 7*a**2 - 5*a + 5. Let g(d) be the second derivative of d**5\/20 - d**4\/12 + d**3\/6 - d**2\/2 + 7*d + 4. Determine -5*g(o) - t(o).\nAnswer: -o**3 - 2*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 times 2.06672?\nAnswer: -2.06672","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4 - 0. Let t(b) = 11*b**2 - b - 3*b + o*b. Let m(n) = 2*n - 1 + 1 + 5 - 5. Give t(m(h)).\nAnswer: 44*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7491 - -5.\nAnswer: -7486","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qq when two letters picked without replacement from qqqqqgqqqqqg?\nAnswer: 15\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -q + 11. Let o be f(6). Suppose -14 = -o*h + 6*h - 4*j, 5*h = -2*j - 4. Let t be 1\/h - 12\/(-8). Does t = 0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 2*l + 4 = 0. Let b be (1\/1)\/((-5 - 2) + 8). Solve -p = b, -h - 5*p - 2 = -l*h for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19\/4 of a gram in milligrams?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00105488006 to five dps.\nAnswer: -0.00105","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/14? (a) -1\/294 (b) -1 (c) 3 (d) -1164\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -2991\/353, 0, 1\/4, 2, 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -988, -1075, -1298, -1723, -2416, -3443, -4870, -6763?\n\"Answer: -11*f**3 - 2*f**2 - 4*f - 971","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is (-6 - 486512\/(-48))*(2 + 1) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2833.9 and -0.1.\nAnswer: -283.39","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 11209 + 2137713929?\nAnswer: 2137725138","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2 + -3155?\nAnswer: -3157","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a microgram in nanograms?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) be the third derivative of -1\/12*j**5 - 1\/6*j**4 + 1\/120*j**6 + 0*j + 1\/2*j**3 - 39*j**2 + 0. Give s(5).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -23\/9 and -13\/13231026?\nAnswer: 13231026","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor b**2\/7 + 30*b.\nAnswer: b*(b + 210)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = f + 2*f + f - 3*f + 9. Let o be m(-7). Let c(s) = -s**3 + 2*s**2 - s - 1. Let b be c(2). Sort -5, o, b in increasing order.\nAnswer: -5, b, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) be the third derivative of -s**6\/120 - 13*s**5\/60 - s**4\/24 - 4*s**3\/3 - 6*s**2. Let a be l(-13). What are the prime factors of ((-2)\/a)\/((-7)\/280)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.01532563 to 3 decimal places.\nAnswer: -0.015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:30 AM and 8:38 AM?\nAnswer: 428","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.13 - -2.13. Let o = -0.6 - -0.68. Let d = o - 2.08. What is the nearest to d in -1, -1\/2, s?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 47 = 233. Suppose -80 = -2*i - 3*m, 5*i - 3*m - 81 = b. Does 11 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 6, h: 2, n: 7, b: 2, y: 1}. What is prob of sequence bbn?\nAnswer: 7\/2448","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 624 minutes before 4:36 AM?\nAnswer: 6:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:20 PM and 12:06 AM?\nAnswer: 586","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 17 + -1 + (14 + 675\/(-50))*22.\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 541 + -536. Solve 0 = -4*l - v*l + 9 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 10 + -11. Let i be (-1600)\/(-30) + z\/3. Let c = i - 35. Calculate the remainder when 51 is divided by c.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -10267 + 154088\/15. What is the common denominator of j and -61\/3?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 14 and 11450.\nAnswer: 80150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 9\/18535 and 89\/84250.\nAnswer: 926750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (1 + 2\/6)\/((-3)\/(-252)). Suppose 70 = 7*a - p. What is the tens digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(16)*3)\/sqrt(8) - sqrt(2))*-1.\nAnswer: -2*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.6867 to two decimal places.\nAnswer: -0.69","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.051 - -4.051. Let h = 1\/13 + -15\/26. Which is the closest to h? (a) 6 (b) 3\/2 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -55013.4 and 0.8.\nAnswer: -55012.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 3*f - 18. Let n = 13 - f. Solve 0 = -4*s - 3*t - 4 + 26, -n*s - 5*t = -18 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-2 - -6)\/((4\/42)\/1)?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(-2)*5\/((-50)\/(-40))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -235*k + 3248. What is l(14)?\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4.544504 microseconds to milliseconds.\nAnswer: 0.004544504","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 10*x**3 - 3*x**2 - x - 3. Let n(o) be the second derivative of o**5\/20 + o**4\/12 + o**3\/6 + o**2\/2 - 2230*o. Calculate j(h) + 3*n(h).\nAnswer: 13*h**3 + 2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-411 - 917*q + 411 - 633*q)*(-8*q + q + 0*q).\nAnswer: 10850*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x + x + 4*w = 3376, 5*x - 16922 = w. Let d = x - 5025. Is d\/(-15) - 8\/20 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2, -8, 5, -0.2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*j - j - 3*j)*(104*j**2 - 47*j**2 + 32*j**2) - 4*j - 2*j**3 + j + 4*j**3.\nAnswer: -176*j**3 - 3*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a litre in millilitres?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-2)*x**(-6))**(-17) assuming x is positive.\nAnswer: x**136","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 + (-7 + 5 - -9)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.011129296 to five decimal places.\nAnswer: 0.01113","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2691, 2641, 2591, 2541?\nAnswer: 2491","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 87\/470 and 111\/200.\nAnswer: 9400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 2*z**2. Let j(n) = 189*n. Let o(u) = 10*u. Let y(l) = -3*j(l) + 56*o(l). Give y(m(t)).\nAnswer: -14*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (9*(-3)\/(-189))\/(8\/(-28))?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -42459, -42525, -42591, -42657?\nAnswer: -42723","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.03 + -1.53. Let z = 1.5 + r. Let p be ((-4)\/(-6))\/(14\/6). What is the second smallest value in p, 4, z?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(1\/6))**(-50)*d\/(d**(-21)*d)*d**(-7\/3) assuming d is positive.\nAnswer: d**(31\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1071824 by 26.\nAnswer: 41224","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of (0 + 3512\/5)\/(1284\/9630)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -j**3 + 68*j**2 - 251*j - 340. Calculate f(64).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = v**3 - 5*v**2 + 2*v + 7. Let l be j(5). Suppose 0 = -4*o + 2*c - 21 - l, -32 = 4*o + 4*c. Let w be (-191)\/9 - 2\/o. Round w to the nearest ten.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 + (10 - 4) - (10 - 5)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000029182 to 6 decimal places.\nAnswer: 0.000029","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 4899180 a multiple of 662?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -844 + 2885. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -5, -115, 0.1, 0.4, -1, 8?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (20 - 18 + 92)*(l**4 + 10 - 5*l**2 - l + l**2 + 5*l**2) as k*l**3 + u*l + j*l**2 + h + r*l**4 and give h.\nAnswer: 940","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by 155?\nAnswer: -2\/155","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2540643?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16221154.\nAnswer: 2, 8110577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, 4, -3, 231, 2, 0 in ascending order.\nAnswer: -3, 0, 2, 4, 6, 231","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1328072, -1328061, -1328052, -1328045, -1328040, -1328037?\nAnswer: -1328036","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2833919 is divided by 1700.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x - 5*z = -60, -5*x + 0*x - 2*z = -60. Calculate the lowest common multiple of 2 and (53 - 1)\/(x\/48).\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1397006839 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 2, i: 3, p: 3}. What is prob of sequence pl?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -4 - 10013?\nAnswer: -10022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/(-3))\/(((-3)\/27)\/1).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -9 - -9.2. Suppose 0 = 3*f + f + 5*v, f - 5*v = -25. Sort f, h, -1\/6 in ascending order.\nAnswer: f, -1\/6, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -20 + 22. Solve -c = c - v for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -458 or -759?\nAnswer: -458","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 23*f + 496. Does 4 divide s(0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 8 = -3*v, 4*j - v - 20 = -0*v. Suppose j*a = 4 + 20. Differentiate 6*p**3 - 1 + a + 0 wrt p.\nAnswer: 18*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14993.\nAnswer: 11, 29, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (360 + 178 + 234)*(-3*q + q + q) to i + o*q and give o.\nAnswer: -772","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (125 - 105) + (19 - -18).\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 1033256*s**2 - 2360517 wrt s?\nAnswer: 2066512*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -849, 0, 2, 1\/3 in increasing order.\nAnswer: -849, 0, 1\/3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1\/797 (b) -2\/201 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kqqkqq. Give prob of picking 2 q and 1 k.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 985177 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n - 9*i = 27, -3*n - 5*i = -120 + 127 for n.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ppf when three letters picked without replacement from {p: 7, f: 6}.\nAnswer: 21\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = q - 3*n - 19, 5*n + 4 + 5 = -4*q. Which is the nearest to -4\/11? (a) 1 (b) q (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ydyyffkmycydyfccyfc. What is prob of sequence fyd?\nAnswer: 28\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 278 + 286 - 564 - 2*p - p.\nAnswer: -3*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 - 41*y**2 + 0 + 36*y**2 + (-y - 2*y + 4*y)*(-y - 4*y + y) to the form r*y + a + v*y**2 and give a.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/(-9))\/((-8)\/(-30))\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 3\/6*1*-4. Suppose -r - 2 = 4*v + 40, -2*v = 4*r + 28. Is ((-95)\/v)\/(c\/(-20)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 14 (base 6) to base 14\nAnswer: a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -67\/6300040 and 59\/3150020.\nAnswer: 6300040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -6*t + 277. Give f(43).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-323)\/57 + (-4)\/(-6). What is the biggest value in m, -0.2, -4, -1?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gggwggggggwwww. What is prob of picking 3 w?\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 992035 and 1190442.\nAnswer: 5952210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 404*l*p**5 + 30*l*p**3 + 130*l*p**2 - 3*l - p**5 - 99*p wrt p.\nAnswer: 24240*l*p**2 + 180*l - 60*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = -3*p - g - 9, -4 = 4*g. Let k be (-4)\/42 + 5\/(-20). Let n = k + 2\/21. Sort 0, p, n in descending order.\nAnswer: 0, n, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 12 and 526?\nAnswer: 3156","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1333335*0.38.\nAnswer: -506667.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f = 0, 45*s + 2186*f - 2191*f + 585 = 0 for s.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -3 + 22e4ea?\nAnswer: 22e4e7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -105833 and 1.19.\nAnswer: -125941.27","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (6*1128)\/(6\/32). Suppose 2*w = 4, -3*v + 5*w - 8914 = r. What is v rounded to the nearest ten thousand?\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -134111748, -268223497, -402335246, -536446995?\n\"Answer: -134111749*i + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -11 + 5232335?\nAnswer: 5232324","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 9 + 28 = -5*k, -5*m = 4*k + 5. Solve m = 3*q + 12 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -167\/73271814 and -125\/1903164?\nAnswer: 146543628","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 2*t**3 - 3*t**2 - 2*t - 2. Let v(y) = -12*y**3 + 7*y**2 + y + 4*y + 18*y**3 - 9*y**3 + 4. What is -7*r(w) - 3*v(w)?\nAnswer: -5*w**3 - w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -91\/19843212 and 37\/35485.\nAnswer: 99216060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3\/34? (a) -1 (b) 6 (c) -0.1 (d) -7 (e) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 2 = 12, -4*r + 874 = 2*m. Let t be r\/119 + (13\/(-7) - -1). Solve 2*j - k + t = 8, -9 = j + 2*k for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*q - 1 + 1 + (57142 - 57142 - 405*q)*(3 - 2 + 2) to the form s + w*q and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 367*z**2 - 195*z.\nAnswer: 734","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = -t - 3, -2*t - 1 = 3*j + 5. Let y = 45 + -37. Calculate the remainder when 165 is divided by (j + 7)\/(2\/y).\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (0 + -1)\/(27\/(-108)). Let t be 2\/o*(11 + -4 + -3). Solve -3*d = -t - 4 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h + 4*p - 45 = 0, 6*p - 36 = -4*h + 2*p. Let f(m) = -2*m + 115. Calculate the remainder when f(-5) is divided by h.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1680608)\/280705 + 4\/(-310)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 8*l - 183 + 26*l + 207. Let r be i(-3). Let v = -76 - r. Solve -v + 22 = -4*u for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = -2*h + 60, -4*s + 65 = 2*h - 7*s. Solve -3*z - 2*z = -h for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 56*f - 18*f = 0 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a = -2*a - 2. Suppose a*h - 15 = 5. What is the units digit of 42\/h - 1\/5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2.4 and 3167464.\nAnswer: 7601913.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 8*a**4 - 2*a**3 - 544*a**2 + 1695. Let y(p) = 19*p**4 - 5*p**3 - 1088*p**2 + 3390. Let w(r) = -5*u(r) + 2*y(r). What is the derivative of w(k) wrt k?\nAnswer: -8*k**3 + 1088*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*j**2 + 433698*j - 15674496267.\nAnswer: -3*(j - 72283)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (b + 55 - 18*b - b**2 + b**3 + 18*b)*(-b + 0*b + 2*b) as p*b**3 + l + d*b**2 + y*b + h*b**4 and give y.\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:15 PM and 3:27 AM?\nAnswer: 252","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 98462.\nAnswer: 2, 7, 13, 541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = y**2 + 2*y. Determine a(-1).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -0.1, -2\/11, -0.08 in descending order.\nAnswer: -0.08, -0.1, -2\/11, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3089 is divided by 1497?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 432 and 153?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 101844 a multiple of 46?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -12 - (-5 + (1 - (3 - (-7 + 7))))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x when two letters picked without replacement from {x: 11, g: 3}.\nAnswer: 55\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1267839*l**3 - 482247*l wrt l?\nAnswer: -7607034*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 0.4, 2, 0, 12\/13?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is p in 9\/2 + 1\/6*p**2 + 2*p = 0?\nAnswer: -9, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 8618.889 decades?\nAnswer: 86.18889","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 7\/6 (b) 0.3 (c) -5 (d) -37\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) be the third derivative of -3*j**5\/20 + j**4\/12 - j**3\/2 + 4*j**2. Let n be t(2). Let k = -10 - n. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 23, 1099 in decreasing order.\nAnswer: 1099, 23, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 159893700 = 217*w + 83*w. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 (base 15) in base 12?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -21 - -10026?\nAnswer: 10005","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 77735\/27 or -0.1?\nAnswer: 77735\/27","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(3\/1*(-12)\/(-18)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_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: Put together 0.03 and 1063336.\nAnswer: 1063336.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (-36 - (75 - 82)) + 73\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(1\/11)\/h)\/(h**(2\/13)*h) assuming h is positive.\nAnswer: h**(-295\/143)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 331854 and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -8\/685 (b) 4 (c) -0.2 (d) 0.1 (e) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 393.7 + -393.8. Is m greater than or equal to -83.3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 5, -201, 12, 0.01?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -243021*i**4 + 78*i**2 + 16275350*i wrt i.\nAnswer: -2916252*i**2 + 156","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -6.0459 rounded to one decimal place?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is v in -v**5\/5 + 242*v**4\/5 - 96*v**3 - 2*v**2\/5 + 481*v\/5 - 48 = 0?\nAnswer: -1, 1, 240","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 36 - 35. Suppose -17 = -4*z + 3. Sort w, z, 2 in descending order.\nAnswer: z, 2, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*x**4 - 134*x**3 - 1123*x**2.\nAnswer: -48*x - 804","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 61*h - 70 = -70 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1001100 + 0?\nAnswer: 1001100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 3.27 (b) -0.03 (c) 4 (d) -23 (e) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 8*u + 4*u - u. Let r(k) be the second derivative of -5*k**3 - 9*k**2 - 208*k. Let w(d) = 17*d + 10. Let j(b) = 5*r(b) + 9*w(b). Calculate q(j(v)).\nAnswer: 33*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -14*t. Let o(b) = -5*b. Let v(q) = -3*n(q) + 8*o(q). Let a be v(1). Let c be 6 + 0\/(-1 - a). What is the greatest common factor of c and 15?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 369 a factor of 610932?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 1079*a + 467198. Calculate q(-433).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 71 + 8 + -59 + (-17 - (-1 - 2))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 217, 393, 549, 673, 753?\nAnswer: 777","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -28 + 31. Let l be y\/(-4) - 135\/(-20). Let k(d) = 8*d - 30. Let q be k(l). What is the greatest common factor of q and 198?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1147567 - -2.\nAnswer: 1147569","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*h = 3*h + 15. Suppose -w - 80 = -h*w. Suppose 3*z - z - w = 0. Is z a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/36*20*-6*8\/140?\nAnswer: 8\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*z - 15 = 2*z, 4*m + 44 = 4*z. Let n be ((-58)\/m)\/(1\/(-4)). Suppose -8*s - 49 = 183. Are n and s nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0 + 2. Suppose 0 = -2*s - f*x + 4*x - 2, -2*x + 2 = 5*s. Suppose -c + 2*c - 3 = s. Solve 2*m - c = a, -4*a + m - 5*m = -24 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -321*w**2 + 2*w. Let o(z) = -2*z. Give k(o(c)).\nAnswer: -1284*c**2 - 4*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6006390 is divided by 758?\nAnswer: 756","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q = -7*w - 3, 3*w + 25*q - 705 = -864 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 15044 - -5300?\nAnswer: 23344","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 262 + 204 = 0. What is the hundreds digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l*l**(-13)*l\/l**16*((l*l**(-11)\/l*l)\/l*l)**20 assuming l is positive.\nAnswer: l**(-227)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -3 (b) -2325 (c) 35 (d) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -140965*h**6 + 4605*h**2 + h + 4 wrt h?\nAnswer: -16915800*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - b = -4, b + 3 = 5*l + 7. Suppose 4*n = -c + 25, 3*c + c + n - 70 = l. Let v(z) = 30*z**2 + 6*z - 5. What is the remainder when v(1) is divided by c?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) be the third derivative of 5 + 0*m - 1\/60*m**5 + 2\/3*m**3 + 5\/12*m**4 - 6*m**2. Give j(10).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -2*u**2 - 28*u - 41. Calculate w(-12).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 180, -5, 3\/2, -1.9 in decreasing order.\nAnswer: 180, 3\/2, -1.9, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 2712 a factor of 227049532?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 192816*a**4 + 6236 wrt a.\nAnswer: 771264*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35*g = -w - 33*g + 8, 0 = 3*w + 5*g + 42. What is the fourth smallest value in 3, -1\/489, w, -3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 2\/615 and 20\/7116687.\nAnswer: 1458920835","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-19362)\/(-4))\/((-22)\/(-88))?\nAnswer: 2, 3, 7, 461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 322 and 1819880?\nAnswer: 293000680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 2*h = 2*t - 128, 2*t - 134 = -2*h. Suppose 3*c - c = t. Let w be (-2)\/15*(-5)\/(c\/3). Which is bigger: 0 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = y**2 - 4*y + 3. Let o be q(3). Let l = o + 3. Solve 3*x = 3*u, 0 = -3*u - x + l*x + 2 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -32349519*a**2 + 24221510 wrt a.\nAnswer: -64699038*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2788 - 2783. Let j(a) = 6*a - 8. What is j(f)?\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4101348?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 43172249 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -15 - 21?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -m**2 - 11*m - 8. Let h be w(-10). Let l be 3\/(-9)*-5 - h. Are l and 1 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 0 + 8*p + p - 480*p**2 + 2 + 479*p**2. Let k(i) = -i**3 - 8*i**2 - 2*i - 8. Let o be k(-8). Is 7 a factor of r(o)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -182 + 412. What is the tens digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8595 (base 14) in base 12?\nAnswer: -1141b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 322*f**2 - 1935*f + 12. Determine g(6).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 44\/5 - 1\/(-5). What is the smallest common multiple of 32 and (-12)\/(2*(-3)\/l)?\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 11*l**2*q**2*s + 2*l**2*s - l**2 - 4*l*q**2*s**3 - l*q*s**2 + 7*q*s**3 wrt q.\nAnswer: 22*l**2*s - 8*l*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 213142021 (base 5) to base 2\nAnswer: 11011110101100001000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) be the third derivative of 12475*z**4\/24 - 7705*z**3\/6 - 766*z**2. What is the first derivative of o(y) wrt y?\nAnswer: 12475","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 708471715 to the nearest integer?\nAnswer: 891","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 360 minutes before 3:07 PM?\nAnswer: 9:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1*(675\/5)\/5 and 15.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 15, -3, 0, 23 in ascending order.\nAnswer: -3, 0, 15, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 12649?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2)\/(-8) - (-110)\/8. Solve j = 4*n - 2 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -56*u + 252*u - 7*u**2 + 933*u - 11*u + u**3.\nAnswer: u**3 - 7*u**2 + 1118*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 450\/(-30) + (-201)\/(-12).\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-m**2 + m**2 + 3*m**4)*(-5 + m + 5) + (-2*m + 2*m + m**3)*(-13*m**2 - 10*m**2 - 4*m**2).\nAnswer: -24*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide -16702060 by -4.\nAnswer: 4175515","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1 - -1 - (7 - -1). Let f = 28 - u. Let s(x) = 6*x**2 + x. Let h be s(-1). Solve 0 = -4*r - 5*b + 45, -2*r - h*b + f + 1 = 0 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = t + 10. Let x be j(12). Suppose -x = 15*k - 4*k. Is (-6)\/9 - (10892\/6)\/k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 7*d**2 + 5*d + 3. Let n be q(-1). Which is bigger: n or 19\/3?\nAnswer: 19\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*t**2\/7 + 1808*t\/7 - 113696\/7.\nAnswer: -2*(t - 836)*(t - 68)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 79 a factor of 1643200?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32*g + 25*g = 56. Let u(j) = -j**2 - 6*j + 3. Let p(d) = 2*d**2 + 12*d - 6. Let w(b) = 6*p(b) + 11*u(b). Is w(g) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 18\/30 + 91\/65. Put -3, q, 4, 15 in descending order.\nAnswer: 15, 4, q, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-4)\/3 - (-343)\/21. Suppose -4*z + l*z - 649 = 0. List the prime factors of z.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 128225 or 384674\/3?\nAnswer: 128225","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:59 AM and 5:36 PM?\nAnswer: 517","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 take away -92755.406?\nAnswer: 92754.406","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4988001 is divided by 7250.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*h**4*i - 4670*h**3*i + 141554*i with respect to h.\nAnswer: 8*h**3*i - 14010*h**2*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -135, -340, -675, -1140, -1735, -2460, -3315?\nAnswer: -4300","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*w**4\/7 - 2714*w**3\/7 - 5436*w**2\/7 = 0. What is w?\nAnswer: -2, 0, 1359","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand -176*h**5 - 177*h**5 + 297*h**5 - 2*h**5 - 3 + 3 + (h**5 + 0*h**4 + 0*h**4)*(7 - 3 + 0).\nAnswer: -54*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -u**2 + 6*u + 8. Suppose 0 = -2*q + 5*q - 21. Let t be h(q). Calculate the remainder when ((-10)\/2)\/(t\/(-13)) is divided by 22.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w - d = -51, -41644*w + 41643*w + 2*d - 14 - 63 = -10 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s + 30 = 29804*h - 29799*h, -3*s = h - 6 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 13979126 to the nearest integer?\nAnswer: 241","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 380910 a multiple of 69?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -597 = 4*h - 1917. What is the common denominator of (h\/170)\/(3 + -1) and (-22)\/(-32)*(-156)\/9?\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.33 minus 0.318?\nAnswer: 2.012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 26 + 7 = 5*b, 4*b = -4*y + 28. Suppose 0 = y*k - 43 - 389. List the prime factors of k.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + z = 57. Let t = 29 - z. What is the remainder when 19 is divided by t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9405459?\nAnswer: 3, 7, 23, 6491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 58\/(8\/2 - 2). Let u = j + -19. List the prime factors of u.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence km when two letters picked without replacement from kkkkkmmmmkkkkkmkkm?\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -k + 13. Is 6 a factor of j(-14)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 162 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:01 AM and 8:47 AM?\nAnswer: 526","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000049821806 rounded to 5 decimal places?\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 18 + -15. Suppose -4*l + 16 = -7*h + 3*h, -h - k*l = -12. Suppose 4 + h = -4*t, z + t = 19. What is the greatest common factor of 4 and z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -75*g - 29*g - 973 = 35*g for g.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21729?\nAnswer: 3, 7243","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -g**2 - 705664*g - 124490420224.\nAnswer: -(g + 352832)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -x**3 + 1. Let h be a(1). Let b be 3*(h - 4\/(-15)). Find o such that b*o - 2\/5 - 2\/5*o**2 = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ggprwwggr. What is prob of picking 3 g and 1 p?\nAnswer: 2\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) be the third derivative of b**9\/10584 + b**8\/1470 - 11*b**7\/2940 + b**6\/210 - 5*b**3 - 69*b**2. Let u(k) be the first derivative of l(k). Factor u(x).\nAnswer: 2*x**2*(x - 1)**2*(x + 6)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) be the second derivative of -21*z**6\/10 + 3*z**5\/20 - 13*z**3\/6 - 2*z**2 + 600*z. Find the second derivative of h(y) wrt y.\nAnswer: -756*y**2 + 18*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 2*y**2 - y - 1. Let x be a(2). Suppose -x*n + 2*g - 1 = -5, 0 = -3*g + 9. Let d(b) = -b + 6. Let q be d(n). Solve -q = -2*h + h for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pnnpnng. Give prob of sequence pg.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = n**2 - n - 1. Let r(y) = 8*y**2 - 7*y - 7. Give 14*o(v) - 2*r(v).\nAnswer: -2*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -4 + -6 + 18 + (-12 - -2)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 43 is divided by 20.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -5055 + 108?\nAnswer: -4947","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -14362*87\nAnswer: -1249494","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 2398, 9586, 21564, 38332, 59890, 86238?\n\"Answer: 2395*x**2 + 3*x","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 1\/4 (b) -0.16062 (c) 1\/3 (d) 2 (e) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**11*g*g**(-1\/20)\/g*g*(g*g\/g**0)**(-19\/2))**3)**2 assuming g is positive.\nAnswer: g**(-423\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -2*a - 30. Give t(-18).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/8)\/((-5625)\/3000).\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s + 5*t - 513 + 464 = 0, -3*s + 3*t - 33 = 0 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in five quarters of a centimeter?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000861 to 5 dps.\nAnswer: 0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (sqrt(2736) + 1)*5 + sqrt(2736) + 2*(sqrt(2736) + -1) + sqrt(2736))**2 - (-6*((sqrt(171)*-2 - sqrt(171) - sqrt(171)) + 2) + -2)**2.\nAnswer: 1800*sqrt(19) + 122925","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 1324215 (base 6) to base 11\nAnswer: 5026a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 5*z = 20, -5*j - 9 = 4*z + 7. Let s be 2*2\/(-18) + j. Which is the closest to 1\/2? (a) 1 (b) s (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:22 PM and 1:30 AM?\nAnswer: 128","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -496.18 - -484. Let b = -2514 + 2515.32. Let f = d - b. What is f rounded to zero dps?\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 159 + 19?\nAnswer: 174","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.01*361.22.\nAnswer: -3.6122","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 5*f - 2. Let b(s) = 148*s**2 - 2035*s + 814. Let x(h) = -2*b(h) - 814*u(h). Let o(l) = -l. Determine x(o(i)).\nAnswer: -296*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -999855, -999844, -999835, -999828, -999823?\nAnswer: -999820","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 646 and 38.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 12\/(5 + (-42)\/12). Suppose -d + 1 = 3*v - 5, v - d = 6. Suppose i = 5, -f*b + v*b + 160 = -2*i. Is b a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -28*d + 31 - 31 to the form x*d + f and give x.\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*q + 11068 = 34*q. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*g - l - 35, -2*g + 40 = -0*g + 4*l. Is g a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 71433133?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1485842?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -55*w + 24 = -51*w, 0 = -2*f - 4*w + 20200. What is the units digit of f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -6*l**3 - 4*l**2 - 22*l + 1. Is v(-7) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 8189 + -8195. What is the fifth biggest value in 0.1, -0.5, -1, r, -0.2?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -102.71 - -102.41. Let t = -3 + 2.8. Which is the smallest value? (a) 1\/3 (b) h (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1236 by 4.\nAnswer: -309","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -18*v - 17*v + 60*v - 21*v - v**4 + 2*v**2 + 13*v**3 in the form r*v**4 + q*v**3 + l + p*v**2 + x*v and give q.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (10\/6)\/((-2)\/6). Let h = w - -1. Put 0, h, 1 in descending order.\nAnswer: 1, 0, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 32*o**2 + 958*o - 51. Determine w(-30).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that -2*a**4\/13 - 37760*a**3\/13 - 163767454*a**2\/13 + 10708323080*a + 32238268296 = 0.\nAnswer: -9802, -3, 727","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l, 1 k, and 1 t when three letters picked without replacement from tklktcjzl?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -6052 - 10?\nAnswer: -6062","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15130 is divided by 2631.\nAnswer: 1975","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-16)\/(-34)*54\/8. Let o be (-90)\/(-70) + 24\/(2352\/266). Which is bigger: b or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -257 + 353. Calculate the greatest common factor of 24 and b.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 791*z**3 + 279*z**2 + 5*z + 6714416.\nAnswer: 2373*z**2 + 558*z + 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 74 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 4*s**2 - s. Let g be b(1). Suppose g*v + 0*v - 6 = 0. Suppose 3*p + v = -1. Is p < -4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 123\/738 + (-2)\/((-24)\/(-482))\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 102707 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 158757, 158747, 158737?\n\"Answer: -10*m + 158767","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 594252.9 micrometers in millimeters?\nAnswer: 594.2529","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 546 minutes after 7:50 PM?\nAnswer: 4:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 44635891 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j = -4*x + 7, -59*j + 56*j - x - 5 = 0 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-k**5 - 3*k**5 + 6*k**5)*((1 + 0 - 5)*(-1 + 4 - 1) - 7 + 3 + 2).\nAnswer: -20*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 138 - 98. Let n be 6\/(36\/l - 4\/10). Let v be 568\/36 - 4\/(-18). Calculate the highest common factor of v and n.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 35*q**2 - 531*q + 90. Calculate t(15).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*w - 3*n, -3 = -0*w + 3*w + 3*n. Let f(l) = -23*l + 1. Let h be f(w). Suppose -3*y + 8*y - h = 0. Does 14 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 710\/3 + 6\/(-9). Suppose 3*v + 71 = k. Does 11 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oy when two letters picked without replacement from pfdyxdyxpoxx.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -16*p**3 + 16*p. Let r(d) = -3*d**3 + 3*d. Let h(q) = 5*o(q) - 28*r(q). Suppose h(z) = 0. What is z?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 6 and 498?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, 523, -205, 7.\nAnswer: -205, 7, 9, 523","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -5, 44, 177, 436, 863, 1500, 2389?\n\"Answer: 7*x**3 - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.36 and -3.97438.\nAnswer: -1.4307768","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 9477464 to the power of 1\/3, to the nearest integer?\nAnswer: 212","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 2*p + 165 = 0. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 23494443?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -1.742 from 58.\nAnswer: 59.742","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -4*m + m + m. Let b(g) = -70*g**2 + 7*g + 21. Let p(i) = 68*i**2 - 6*i - 18. Let h(z) = -6*b(z) - 7*p(z). What is h(j(v))?\nAnswer: -224*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -7*((-150)\/(-21))\/(-10)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 14*k - 3. Let a(s) = -6*s - 1. Suppose -36*y + 0 - 72 = 0. Let u(w) = 13*w. Let m(b) = y*u(b) - 2*a(b). What is 4*l(o) + 5*m(o)?\nAnswer: -14*o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -2*w**2 - 21*w + 39. Let p be t(2). Which is the closest to p? (a) 3\/5 (b) 4 (c) 7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 179, 671, 1479, 2603, 4043, 5799?\n\"Answer: 158*c**2 + 18*c + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 3*h - 2. Let q(n) = n - 1. Let u(c) = -d(c) + 2*q(c). Let f(v) = 149*v. What is f(u(g))?\nAnswer: -149*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n**2 - 89886*n - 177465717 = 0 for n.\nAnswer: -1859, 31821","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 7.928423 micrometers?\nAnswer: 0.000007928423","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 3998 - 100?\nAnswer: 3898","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1391724?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) be the second derivative of z**5\/5 - 26*z**4\/3 - 2*z**3\/3 + 52*z**2 - 2*z + 123. Factor g(u).\nAnswer: 4*(u - 26)*(u - 1)*(u + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 2067?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 3610.547cm in micrometers?\nAnswer: 36105470","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = -0*w - 4. Let r be (1 - 2) + 25 + w + -4. Suppose -3*h + 2*j + 20 = 0, -4*h = -h - 3*j - r. Let v(m) = -5*m. Calculate v(h).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 7 and 1612471?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (3\/((-90)\/532))\/(1628\/(-111)) and 113\/70.\nAnswer: 770","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -13*c - 2. Let g(d) = -12*d. What is -4*g(q) + 3*n(q)?\nAnswer: 9*q - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5814000\/229 or 25390?\nAnswer: 5814000\/229","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*o - 2040 = 1411. Calculate the remainder when o is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 66835 is divided by 28.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 139 minutes after 1:04 AM?\nAnswer: 3:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide -77 by -7.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*y + 21*y = 0. Suppose -6*m + 7*m = y. Suppose -p + a + 11 = 3*a, -3*p - 3*a = -24. Solve i + m + p = 0 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t = -5203*z + 2604*z + 2603*z + 126, -12*t = -24 for z.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -32, -2, -602, 5.\nAnswer: -602, -32, -5, -2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 6553070*q**4 + 3217*q**2 + 494*q wrt q.\nAnswer: 157273680*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 6*o**2 - 206*o - 133. Calculate the remainder when 751 is divided by a(35).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2573086050?\nAnswer: 2, 3, 5, 137, 41737","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -588 - -542 - (-1 - 17)?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(6*sqrt(70)*-2 - sqrt(70)*-1*3))\/((sqrt(70) + (-3*1*sqrt(70) - sqrt(70)))\/(sqrt(7) + sqrt(7)*-1*6 + sqrt(7))).\nAnswer: 36*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 189526\/21 - 9022. Find the common denominator of u and -103\/6.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 74756130 rounded to the nearest one hundred thousand?\nAnswer: 74800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b + 4 = 0, -3*k - 2*k + 91 = -b. Suppose -4*s - 4*a + 47 = -125, -3*s - 2*a = -131. What is the highest common divisor of s and k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) be the second derivative of g**6\/180 - g**5\/30 - g**4\/6 + 2*g**3\/3 - g. Let s(t) be the second derivative of a(t). List the prime factors of s(4).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -22*p**6 + 3*p**6 + 310*p**2 + 81*p**2 - 13*p**6 wrt p.\nAnswer: -3840*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 450800 or 450809?\nAnswer: 450800","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3 - 32) + 26 + 27.\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Let a be 2 + 0\/2 + 2. Suppose -1 + 13 = t - a*y, -5*t - 5*y - 15 = 0. Solve -b - 12 = 3*n, -5*n + t*b + 5*b = 20 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 + 18 = 5*r. Let n = r + 1. Let g = -117 - -127. What is the greatest common factor of n and g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35*b - 49*b = -134946. What are the prime factors of b?\nAnswer: 3, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-411)\/(-12) + (-1)\/4. Let i be -9*(-20 + 3)*(2 + 0). Calculate the highest common factor of g and i.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -1178*c - 485. List the prime factors of d(-7).\nAnswer: 3, 13, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 88*v**2 + 2*v - 2. Let o be k(1). Let m = -66 + o. Is 14 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -8 - -5. Let c(i) = -33*i + 4. Is c(y) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3\/6 - 69\/(-6). Is 5 a factor of (-20)\/u*(-6)\/1?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(588)\/(sqrt(12)*-2) - sqrt(49))\/(-6*2*sqrt(7)).\nAnswer: sqrt(7)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 26, 98, 306, 722, 1418?\nAnswer: 2466","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*s + 5*s - 2*s)*(1 - 3 - 2) - 2*s + 10*s + s.\nAnswer: 17*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 722420 to the nearest integer?\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 1, j: 2, n: 2, x: 1, k: 2, p: 4}. Give prob of picking 1 x and 2 p.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f + 12 = 5*q + 2*f, 0 = 4*q - 4*f - 12 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -4*i. Let d(m) = -13*m + 2. Let k(z) = -27*z + 5. Let a(g) = -5*d(g) + 2*k(g). Let u(x) = -3*a(x) - 8*w(x). Let c(f) = -22*f**2. What is c(u(b))?\nAnswer: -22*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4.9 + -5.9. Let u = 1 - 3. What is the third biggest value in h, u, -0.1?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = y**2 + 51*y. Let w(g) = -6*g - 3*g - 13*g - 13*g + 37*g. Let z(m) = -10*m. Let s(f) = -28*w(f) - 6*z(f). Calculate h(s(u)).\nAnswer: 16*u**2 + 204*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 681 minutes after 10:47 AM?\nAnswer: 10:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -r**2 + 6*r + 45. Let f be u(10). Is f not equal to -1\/43?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 10139576 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (11 + -4 + 3 - (-41 + 33)) + 1?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 31\/5 of a kilogram?\nAnswer: 6200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4375 is divided by 223.\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 2, a: 2, y: 1, s: 1, b: 1, c: 2}. What is prob of picking 1 c and 1 y?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ad when two letters picked without replacement from hdpdhadddpdph.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -21224\/151489 - -2\/3523. Let j = d - 56\/215. Which is the nearest to -2\/3? (a) j (b) 5 (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2.6 - -2. Let x = 2945\/201 + -1004\/67. Which is the nearest to 1? (a) l (b) x (c) 5 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 565750 and 2252050.\nAnswer: 3650","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 41323\/344 - (-20)\/(2720\/(-153)).\nAnswer: 119","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -12*i - 2. Let z(j) = 5*j + 8. Let f(k) = 4 - k + 14*k - 11*k - 2. Let m(b) = -4*f(b) + z(b). What is x(m(h))?\nAnswer: 36*h - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 49643 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-596 - -629) + (-10 - (4 + -6 - -4)).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 35 - 33. Is v smaller than 8\/13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 22.7308 + -22.32. Let k = -65.41 + 65. Let h = i + k. What is h rounded to four decimal places?\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1106*j**2 - 549 - 11*j + 550 + 1111*j**2 to the form v*j + d*j**2 + c and give d.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 50006022 at most 50006023?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 455 a factor of 4181905?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 6\/16 - 186*10\/(-160). Suppose -15*l = -s*l - 927. What is the tens digit of l?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 210 is divided by 77.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1790 - 1818. Put -2\/7, 0.1, j in decreasing order.\nAnswer: 0.1, -2\/7, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 4*t - 1. Let y(l) = 3*l - 2. Let x(c) = 2*f(c) - 3*y(c). Let n be x(5). Suppose 30*w + 41 - 78 = -67. Is w greater than or equal to n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*x + 60 = -27*x for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -0.32336 times 0.4\nAnswer: -0.129344","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -21? (a) -0.4 (b) 5 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -53 + 29 + (-40)\/(-40)?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 30 - 14. Let q = -28 + k. Let h = q - -12.00000075. What is h rounded to 7 decimal places?\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -291*s - 50*s = 5797 for s.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2798072 divided by -6?\nAnswer: -1399036\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 186 equal to -588133?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -25858050 to the nearest 100000.\nAnswer: -25900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 5 + -4100454?\nAnswer: -4100445","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + ((sqrt(152) - sqrt(152)*1)*-3)\/(sqrt(32)*3))*6.\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9\/540*366 - (8 + -3 + 1).\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6030)\/8442 - (-240)\/(-7).\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 405?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zeee when four letters picked without replacement from {e: 3, z: 1}?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 18 + 24. Suppose d = 5*n + 1 - 8, -4*n = 2*d - c. Solve -d - 7 = 5*a for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1277681177 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-186)\/(-341) - 6\/11)\/1 + 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.6 - 3.6. Let z = -3 - w. Let g be ((-2)\/2*-2)\/(-9 - -3). Put -4, z, g in ascending order.\nAnswer: -4, g, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 109 = 5*q - 31. Calculate the highest common factor of 7 and q.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 2*w**3 + 95*w**2 + 526*w + 22505. Determine c(-47).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3536 and 727792.\nAnswer: 12372464","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.2 * -107.36.\nAnswer: -21.472","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*s - 4*a + 24, 2*s + 5*a - 18 = 3*s. Let i = -17.37 + 19.37. What is the closest to s in 0.1, i, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/6220961 or 1?\nAnswer: -2\/6220961","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iiii when four letters picked without replacement from {i: 7}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-5)\/((-12)\/36*(-3 - 0)). Which is the nearest to -2? (a) -1 (b) o (c) 8 (d) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5.3 * 587486.4\nAnswer: 3113677.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -244*l**2*o*w - 15*l**2*o + 2*l**2 - 10*o*w + 301*o - w - 2 wrt l.\nAnswer: -488*l*o*w - 30*l*o + 4*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33*s + 52 = 22*s - 41*s for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -217495*j + 14. Let h(i) = i + 1. Let q(w) = -d(w) + 6*h(w). Let z be q(8). Round z to the nearest 100000.\nAnswer: 1700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 556 minutes after 9:19 PM?\nAnswer: 6:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 185 + -185. Does 35 divide (1 - b)*(-5 - (0 - 689))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -m - 6434. Let g(r) = 2*r**2 - 7. Determine h(g(k)).\nAnswer: -2*k**2 - 6427","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (21\/(-5))\/(6\/(-20)). Let m(n) = 15*n - 78. Calculate the lowest common multiple of 108 and m(w).\nAnswer: 1188","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 117606 is divided by 3360.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 209 + -105. Let a = 182 - n. What is the remainder when a is divided by 20?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.3 in 1\/9, 2\/633, 3\/5, -0.5, -101?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p**(-1))**(5\/4)*(((p**(-1\/2)\/p)\/p)\/p)**(-36))\/((p*p**1\/p)**(-44)*p**(1\/2)\/(p**(3\/5)*p)) assuming p is positive.\nAnswer: p**(1711\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 23 + 4*n + 26 - 3*n - 53 + 36. Determine l(18).\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1334 + -2?\nAnswer: -1340","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*q = 19*q + 20. Calculate the remainder when 55 is divided by (q\/6)\/(2\/180*-4).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3846 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 4\/7, -2\/15, -0.1, 0.1, -0.4 in descending order.\nAnswer: 4\/7, 0.1, -0.1, -2\/15, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*d + 5*d - 3*d**2 - 8*d**2.\nAnswer: -11*d**2 + 5*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -x**3 + 10*x**2 - 22. What is the smallest common multiple of q(8) and 10?\nAnswer: 530","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -183*j**2 + 183*j**2 + 32*j**3.\nAnswer: 32*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -643 + 182. Which is smaller: 0 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 747 and 83.\nAnswer: 747","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2858975 and 72250.\nAnswer: 425","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -3*q + 4. Let s be v(-3). What is the highest common divisor of s and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 123 (b) -11.1 (c) 5 (d) -2\/19\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 49\/15756 and -109\/18.\nAnswer: 47268","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/(-46))\/(337057\/43309).\nAnswer: 2\/179","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 70.4 * 25.\nAnswer: 1760","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -45*v - 3032 = -2717 for v.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -16.188 rounded to 1 decimal place?\nAnswer: -16.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -7*a**3 - 2*a**2 + 4*a + 3. Let v be q(-3). Let j = v + -155. Let g = 3 - 2. Solve -3*p - j = -g for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -92318, -183591, -274864, -366137, -457410, -548683?\n\"Answer: -91273*q - 1045","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3390709, -3390710, -3390711, -3390712, -3390713?\nAnswer: -3390714","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine k so that -4*k**3 - 6896*k**2 - 150260*k - 823768 = 0.\nAnswer: -1702, -11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x**(2\/7)*x**(-6))\/((x\/((x*x**8*x)\/x))\/x*x*x*x**(-5\/3)))\/((x**(-2\/7)\/x)**(13\/5))**25 assuming x is positive.\nAnswer: x**(1838\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out 47928 + 17.3.\nAnswer: 47945.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -5206 minus 0.003?\nAnswer: -5206.003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -10815 + 10819. Let q(i) = -2*i - 3. Let g be q(-3). Let s be 1\/(-5)*(-5)\/(-2). What is the third biggest value in g, n, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fb when two letters picked without replacement from bbbbbbbbfbbfbfb.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 407092 to the power of 1\/2, to the nearest integer?\nAnswer: 638","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -164 - -167. Suppose -2*v = p*k - 546, -k + v = -138 - 44. What are the prime factors of k?\nAnswer: 2, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2)\/6 - 8\/3. Put i, -8, 3 in ascending order.\nAnswer: -8, i, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = k**3 - 75*k**2 - 495*k + 236. Determine c(81).\nAnswer: -493","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 43*o + 527714*o**2 - 23*o - 20*o.\nAnswer: 527714*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -b**3 + 4*b**2 + 17*b + 6. What is the remainder when j(6) is divided by 19?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 175490222 to the nearest integer?\nAnswer: 560","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 6*o + 39 - 3 for o.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -96 = -56*l + 912. Let w = 12 - 7. Let k be 5*(139\/w + 1). Calculate the highest common factor of l and k.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4.9*-76\nAnswer: -372.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 10 + 2002?\nAnswer: 2012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 45*x**2 - 2*x - 7. Let s(q) = -41*q**2 + 3*q + 8. Determine -3*p(i) - 2*s(i).\nAnswer: -53*i**2 + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ngneeennggne. Give prob of picking 2 g and 1 e.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = m**2 - 12*m + 11. Let a be q(11). Solve -3*l - 2*l - 15 = a for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 5\/7 - 52674\/126. Is -417 != c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - 2)*1\/3*116\/(-1102)?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -3*d + 15. Let x be w(6). Let f(c) = -24 - 7*c + 28 + 3*c + 0*c. Let v(o) = 5*o - 5. Give x*f(z) - 2*v(z).\nAnswer: 2*z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 2*h + 2 = 0, -4*m - 2*h + 4 = 0. Suppose m = c - 4*c. Suppose j - 3*j + 14 = c. Does 4 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 60757?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -270*p + 1 = -2*n - 273*p, 8 = 3*n - 5*p for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1743330 - 0.6?\nAnswer: 1743329.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-220)\/8*33\/90 and (-1418)\/(-308) - 4\/(-22).\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 182949?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f = 2*k - 3423, 5*k + 2745 = 5*f - f. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -6856, -50352, -168286, -397876, -776340?\n\"Answer: -6203*h**3 - h**2 - 72*h - 580","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = u**3 + 16*u**2 - 2*u - 28. Let b be q(-16). Solve -b*d - 7 = -m + 1, m + 3*d = -6 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1161 = -27028*w + 27071*w for w.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 730, 759, 788, 817, 846, 875?\nAnswer: 904","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 1, 4, -99, 3, 11 in descending order.\nAnswer: 11, 4, 3, 1, 0, -99","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 2044, 687, -1, 1 in increasing order.\nAnswer: -1, 1, 687, 2044","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2.06 - -0.06. Let h = 42.921 + 0.279. Let g = h - 43. Which is bigger: g or i?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.488 + -0.48799271. Round v to six dps.\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*l = -2*v - 44, -665*l = -667*l + 5*v + 29 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Are -19 and -21 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = v. Suppose x = 2*b + 144, 86 - 14 = -b + 3*x. Let c = b - -74. Suppose -2*a = -4*r + 2, -a - 3*r = -c + 3. Give t(a).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 293 (base 10) in base 13?\nAnswer: 197","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 4098373037 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(112)\/sqrt(2))\/sqrt(8))**2 - (-3 + (sqrt(112) + sqrt(7) - sqrt(7)))*-6.\nAnswer: 10 + 24*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -8*o**4 - 33*o**3 - 792*o**2 + 101*o + 8787.\nAnswer: -96*o**2 - 198*o - 1584","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -50*y**3 + y + 1. Let g be t(1). Let k = g - -73. Calculate the remainder when 96 is divided by k.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u - 8 = -6*u. Let m(x) = -2*x**2 + 15*x + 10. Let g be m(u). Suppose -g*f - 2*o = -3*o - 249, -4*o - 624 = -5*f. What is the tens digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**25*w\/(w\/((w*w**(-6\/13))\/w)))**(-1\/25) assuming w is positive.\nAnswer: w**(-319\/325)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let -2247200\/3 - 1\/6*z**2 - 2120\/3*z = 0. What is z?\nAnswer: -2120","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 4\/(-18) - 94\/(-18). Let v(x) = -10*x + 4. Suppose 280*b + 96*b = -1764 - 868. Let z(u) = -7*u + 3. Give b*z(s) + g*v(s).\nAnswer: -s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -287, -288, -289, -290?\n\"Answer: -f - 286","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 17, m: 2}. What is prob of sequence bbm?\nAnswer: 16\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2\/9201 + 88945\/9201. Factor 10\/3*s**3 - 2\/3 + b*s**2 + 17\/3*s.\nAnswer: (s + 1)*(s + 2)*(10*s - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = 5 + 3. Suppose -3*q - 2 = f*g - 4, 5*g - 5*q - 20 = 0. Solve 0 = -0*u - g*u + 10 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 81*q**2 + 19*q - 69. Let r(h) = 40*h**2 + 9*h - 34. Let k(y) = -3*a(y) + 7*r(y). What is the units digit of k(4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0138503144 rounded to six decimal places?\nAnswer: -0.01385","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 541 + 339. Calculate the remainder when k is divided by 59.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-1\/4)*g*g**0)\/(g*g\/g**(1\/2)*g)**37*(g*((g\/g**1)\/g*g)\/g*g)**(-13)\/((g**2\/g)\/g**(-1)) assuming g is positive.\nAnswer: g**(-427\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4605)\/(-614)*(-8)\/5?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 48 minutes after 10:56 PM?\nAnswer: 11:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -52, -193, -426, -751, -1168, -1677, -2278?\n\"Answer: -46*j**2 - 3*j - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 854 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -29, 4, -27, 1846 in decreasing order.\nAnswer: 1846, 4, 0, -27, -29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = l + 7. Let g be q(-13). Is -4 >= g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 51.73*6866\nAnswer: 355178.18","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 360325909 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(204) - 5*(-1*sqrt(204) - sqrt(204) - sqrt(204)))\/(sqrt(192)*-2).\nAnswer: -2*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w + 36 = 2*t, -2*t = t + 2*w - 54. Calculate the highest common factor of t and 90.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -235 or -234?\nAnswer: -235","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -4 + 55?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 166.47 * 354\nAnswer: 58930.38","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6)\/(-2))\/(-6*(-450)\/40)?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*w - 2 = 6*w - 2*l + 8, -4*l = -w - 20 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 278, 9, 4, -5, -1 in ascending order.\nAnswer: -5, -1, 1, 4, 9, 278","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express 19*s - 3315*s**2 - 89*s**2 - 7*s - 13*s as w*s + l*s**2 + a and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -1122230705*i + 460045973.\nAnswer: -1122230705","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 5*h - 1. Let s(x) = -45*x**3 + 2*x**2 - 1. Let w be s(h). Let v = -34 - w. Solve -2*n = 3*n - v for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 8 and 1538?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -688, -685, -682, -679, -676, -673?\n\"Answer: 3*y - 691","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*z - 4*z + 2*z + (3*z - z - 3*z)*(5 + 0 - 4) + 2*z - z - 3*z - 2*z + 5 - 5 - 2 - 2*z + 2)*(-3 + 3 + 2*z**2).\nAnswer: -12*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 337\/23 - 775\/46. Let m = w + 20\/161. Calculate the common denominator of m and -7\/8.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -70*(-19)\/190 - (-85)\/(-12)\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 9*i**6 - 5989*i**5 - 19*i**3 - 10*i**2 - 2*i + 222610 wrt i?\nAnswer: 1080*i**3 - 359340*i**2 - 114","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 217*f**2 + 2*f + 7. Let i(q) = -109*q**2 - q - 4. Determine 7*i(w) + 4*s(w).\nAnswer: 105*w**2 + w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(847))**2 + 1.\nAnswer: -4234","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2.5 in -0.1, -68, -3, -2\/21?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 131\/66 - 13\/6. Let y = 11 + -15. What is the nearest to q in 1\/4, y, 5?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -20 + 30. Let x(p) = p**3 + 15*p**2 + 14*p + 15. Let s be x(-14). What is the greatest common factor of s and b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.08 + -0.12. Let z = 24 - 24. Which is the smallest value? (a) w (b) -2 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2640 - -982. Let h be (3\/(-18))\/(2\/(-24)) + b. Round h to the nearest one hundred.\nAnswer: -1700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fxw when three letters picked without replacement from wppwxppweeeeef.\nAnswer: 1\/728","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Determine z so that -3*z**4\/4 + 255393*z**3\/4 + 191565*z**2 - 1149309*z = 0.\nAnswer: -6, 0, 3, 85134","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1686114 to the nearest integer?\nAnswer: 1299","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 976*h - 603*h - 12309 for h.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/7? (a) -3\/2 (b) -2\/3 (c) 5 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 6) to base 15\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(100)\/sqrt(2))\/sqrt(5))\/(-5*sqrt(72)))**2.\nAnswer: 1\/180","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -0.029585 times -0.04\nAnswer: 0.0011834","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 463 - 160 - c**2 - 150 - 153.\nAnswer: -c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 112*a + 220. Determine f(-2).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 17896, 17902, 17912, 17926, 17944?\nAnswer: 17966","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7098650?\nAnswer: 2, 5, 13, 67, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 1001 divide 70664594?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(-2 + sqrt(108)) + (1 + sqrt(3) + 3)*-2.\nAnswer: -10 + 4*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 9}. Give prob of picking 4 v.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find t such that t**5\/3 - 970*t**4\/3 + 85175*t**3 - 9812740*t**2\/3 + 87386620*t\/3 + 72027984 = 0.\nAnswer: -2, 18, 28, 463","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2412*g**4 + 85*g**3 + 51*g**2 - 2*g - 145 wrt g.\nAnswer: -57888*g + 510","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 59 minutes after 4:40 AM?\nAnswer: 5:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z + 10 = 4*z. Let n = 10 + z. Let o = -4 - n. What is the closest to 1 in 0.5, -1\/3, o?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2264 divide 720255740?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*k**2*n**2 - 162300*k**2*n + 15628*n**3 wrt n.\nAnswer: -4*k**2 + 93768*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 7061688 and 60.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1522386 - 1522542.9911. Let u = -157 - m. Round u to three dps.\nAnswer: -0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 47.6 - 41. Let n = -6.27 + k. Let s = -0.36 + n. Sort -0.4, 0, s in decreasing order.\nAnswer: 0, s, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -19*x + 3. What is the units digit of y(-3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*b**2 - 2912*b + 17616.\nAnswer: -4*(b - 6)*(b + 734)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 10268872 to the power of 1\/8, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4 - -6. Suppose -3*m + 19 = -d, 2*m = -5*d + 2*d - w. Let l = -23 + 37. Calculate the remainder when l is divided by m.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -v**2\/5 - 756986*v + 11354799\/5.\nAnswer: -(v - 3)*(v + 3784933)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 2*q + 46. Let t(s) = s**2 - 12*s + 38. Let y be t(6). Does 15 divide (-6)\/((-24)\/q - y)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x + 4*a = 24, 2*a - 5 + 2 = x. Let t be x\/4 - 153\/(-4). Find the first derivative of -22 - 24 + t + 4*m**3 wrt m.\nAnswer: 12*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1611\/4 - 8207\/20. Let l = -1.4 - -4.4. What is the third smallest value in l, r, 2\/5?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -179*k + 127*k - 701*k + 2*k + 1 - 1 + (6 + 1 - 3)*(k - 4*k + 2*k) in the form n*k + y and give n.\nAnswer: -755","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -236, -246, -264, -290, -324, -366?\nAnswer: -416","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2636 + 2386 = 25*p for p.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 91\/4 of a litre?\nAnswer: 22750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 55010 divided by 5501\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -894 - -1819. Suppose -3*s + a = 2*s. Suppose -5*v + s + 45 = 0. Does 16 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -2*w**3 + w**2 + 3*w + 2. Let l be a(0). Suppose -11*r + 15*r = -16. Sort l, r, 0, 8.\nAnswer: r, 0, l, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:51 PM and 2:15 AM?\nAnswer: 504","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/59 in -3, -2\/13, 1535?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*f - 21 = 4*f + 3*p, 0 = -4*f - p + 8. Let -w**3 - 88 - 18*w**2 + 184 - 92 - 10*w**3 - f*w = 0. Calculate w.\nAnswer: -1, 4\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5500 (base 6) to base 11\nAnswer: a46","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 65864840147 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-20)\/(-8))\/(-5)*2*-2.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) be the third derivative of 17*m**6\/60 - 17*m**3\/2 - 20*m**2 - 2. What is the first derivative of h(x) wrt x?\nAnswer: 102*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2*(0\/4 - 2). Suppose 0 = -p + 5 + 8. What is the remainder when p is divided by 2*2 - (-8 - z)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 89 - (9 - (42 + (-10 - 6)) - (1 + -13))?\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(800) + -3*sqrt(800).\nAnswer: -40*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3651 to the power of 1\/2, to the nearest integer?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 54473.\nAnswer: 19, 47, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -8 + 11. Let l(n) = n**3 - 4*n**2 + 2*n. Let f be l(3). Put -1, f, z in descending order.\nAnswer: z, -1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) be the second derivative of z**5\/12 + 3*z**2\/2 - z. Let l(m) be the first derivative of s(m). Let c(t) = t. Calculate l(c(k)).\nAnswer: 5*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -332*k - 1120 = -364*k. What is the greatest common factor of k and 2905?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bb when two letters picked without replacement from {b: 2, o: 4}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/10)\/(72\/16).\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -8*v. Let r(s) be the second derivative of -s**3\/6 + 4*s. Calculate r(c(m)).\nAnswer: 8*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 99 = -3*o + 5*z, -3*o = -5*z + 95. Let s = 8 - o. Calculate the remainder when s is divided by 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 7, v: 3}. Give prob of sequence vmvm.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 31, -1, 2\/5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) be the third derivative of -h**4\/12 + h**3\/6 - 2*h**2. Let i be x(2). Let o be (i\/3)\/(-1)*-2. Which is the biggest value? (a) 2\/11 (b) o (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 47 + 0. List the prime factors of r.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4709165 is divided by 606.\nAnswer: 545","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5284401, -10568778, -15853155, -21137532?\nAnswer: -26421909","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 260\/390*(-1)\/(-20). Let j(d) be the third derivative of 0 - f*d**5 + 0*d + d**3 + 0*d**4 + 9*d**2. What is the first derivative of j(s) wrt s?\nAnswer: -4*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -30 (base 8) to base 4\nAnswer: -120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -27016 divided by 44.\nAnswer: -614","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 63 divide 3574699?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 516 is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oror when four letters picked without replacement from orrrozrzrorrzrrrozo.\nAnswer: 25\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0001705833843 rounded to six dps?\nAnswer: -0.000171","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vdxr when four letters picked without replacement from xxvrvdrdrhxxdxdxvh.\nAnswer: 1\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Determine n so that 0 - 46\/5*n - 1\/10*n**2 = 0.\nAnswer: -92, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = u**3 - 4*u**2 + 464*u - 3570. Calculate c(9).\nAnswer: 1011","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 43\/2323 and -13\/303.\nAnswer: 6969","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16204179?\nAnswer: 3, 17, 317729","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 29\/870*75\/10. Sort 4\/7, 1, l, -2, 2.\nAnswer: -2, l, 4\/7, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -178231 and -5.4?\nAnswer: 962447.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -65\/102 and -89\/12?\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + 3 + sqrt(80)*-5 + (sqrt(3240) + sqrt(3240)*-3)\/sqrt(8)*2)**2.\nAnswer: -784*sqrt(5) + 15729","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*g - 427 - 329. Suppose 0 = 5*n - 484 + g. Let r = n + -23. Calculate the remainder when r is divided by 13.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = x**2 + 2560*x - 12826. Let w be h(5). Let t(i) = -25*i**2 + 5*i + 5. Let q(p) = -12*p**2 + 3*p + 3. Let g(l) = -7*q(l) + 4*t(l). Give g(w).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 40 and 12?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 27*p + 168. What is the tens digit of w(9)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 656*z + 130*m = 131*m - 1311, 0 = z + m + 3 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2\/(14\/(-6) + 3). Let y be (1 - r) + 0 + -1. Let a(b) = -b**3 - 4*b**2 + 2*b + 4. What is a(y)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(231) - (sqrt(231)*-2 + sqrt(231))*-5)\/(sqrt(176)*2))\/(sqrt(24)\/(sqrt(8)*-5) + (sqrt(3) - sqrt(27)\/sqrt(9)*-6)).\nAnswer: -5*sqrt(7)\/68","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (558\/(-33) - -11) + -4*9\/(-6).\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-74)\/6)\/(2\/6). Suppose -r + 2 = 4, 0 = -2*b + 2*r + 4. Is (b - (3 - 2))*p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -1\/2 (b) -0.04 (c) -0.32 (d) -0.05\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 0\/((-1)\/5*60\/(-4))\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 3696 a multiple of 33?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.4, -115, 1\/4, 101, -0.02?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 133\/299580 and 77\/74895?\nAnswer: 299580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 28155650 and 1250.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 4*b - 29 = 158, 5*n + b - 197 = 0. Calculate the remainder when 64 is divided by n.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 217 minutes after 11:17 AM?\nAnswer: 2:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2 + -101002122221?\nAnswer: -101002122223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 176*a**3 - 10*a + 10*a.\nAnswer: 176*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 44 = 4*a, 4*z - a - 21 = 3*z. Suppose 3*d - 37 = -2*o, 4*d - 7*o + 2*o - 80 = 0. Let q = d + -10. Solve -z = 3*u - r, -10 = -q*u + 8*u + r for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + -4*(1 + -2 + sqrt(99) + 2) + 0)**2.\nAnswer: 168*sqrt(11) + 1633","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 - 124*s + 118*s + 0.\nAnswer: -6*s - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j = 2*c, -2*c - 4*j = 93 - 34 - 33 - 36 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*d + 2*d - 4*d + (16*d - 454 + 454)*(4 - 2 + 0) - d + 3*d - d + (5*d + d - 5*d)*(-4 + 0 + 1).\nAnswer: 28*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + -4 - (31 - 38)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Do 14\/5 and 3.5 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (sqrt(1053)*-1 + 4 + 0)**2)*-3.\nAnswer: -3192 + 216*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in three fifths of a milligram?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 73\/54 and 3\/4.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 119 divide 17011047?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 69094601?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2269 + -2266. Sort x, 5, 2\/9.\nAnswer: 2\/9, x, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 811828\/65 - 12490. Let i = -2276\/195 - b. Calculate the common denominator of 68\/27 and i.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21006 is divided by 149?\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -21274 divided by 773\nAnswer: -21274\/773","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 16555802657 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(448)*-3 + 1 + -5.\nAnswer: -24*sqrt(7) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = c**3 - 6*c**2 - 27*c - 20. Let u be y(9). Let m = 21 - 36. Let n = m - u. What is the remainder when 6 is divided by n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 47016210?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.39 * -9.4.\nAnswer: 3.666","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00021446 rounded to five decimal places?\nAnswer: -0.00021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 5 + 9177663\nAnswer: 9177668","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 12\/20 - 458621271156\/(-39015). Let v = m - 11754999. Let d = v - -2\/867. Is -5\/3 bigger than d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 71\/24 and 127\/7788.\nAnswer: 15576","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.0864, 0, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1751\/18 or 2.428?\nAnswer: 1751\/18","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 17 in -2, -4\/7, 3\/7?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (1\/(-2))\/(3\/2)*-3. Solve -2*n = -b - 7 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3084655 a multiple of 155?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 925, 926, 927?\n\"Answer: n + 924","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -17*j**2 - 256*j - 251. Calculate o(-14).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-70)\/30)\/((-3)\/(-720)*-2). Let b = -170 + f. Suppose 2*y + 2*t = -2*t + 76, -92 = -4*y + 4*t. Calculate the remainder when b is divided by y.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (1536\/10)\/((-30)\/(-50)*4\/12). Calculate the highest common divisor of 1776 and t.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 752.4766 milligrams to kilograms.\nAnswer: 0.0007524766","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 2*l - 4 + 8 + 2 + l**2. Let w be r(-4). Let m(j) = j**3 - j**2 - j + 28. Let i be m(0). Calculate the greatest common factor of i and w.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - -11 - (36 + -31 + 15).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 14713\/7 not equal to 2101?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-18)\/15)\/((-3)\/(-10)). What is the nearest to 0 in -2, s, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mgg when three letters picked without replacement from gmmmmgmmgmgmg.\nAnswer: 40\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1136719*j - 4578004.\nAnswer: 1136719","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 739385291?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -90291088675\/8448 + 42751463\/4. Let n = k + 3\/256. Let y = 1\/33 + n. What is the third biggest value in -13, -0.5, y?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 719413 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 708000 rounded to the nearest 10000?\nAnswer: 710000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -u**3 + 5*u**2 + 8*u - 3. Let b be s(8). Let x = b - -1845\/14. Find the common denominator of x and -121\/10.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 3*m + 15 - 4*m - 11. Suppose -2*q + 16 = -6*q. What is x(q)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(0 + sqrt(700)) + 0 - (0 + (sqrt(700) - (-2*sqrt(700) - sqrt(700))) - sqrt(700) - (-3 + -2 + sqrt(700))))**2.\nAnswer: 600*sqrt(7) + 25225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (0 + (-3)\/3)*-2. Let 7*i**3 + 0*i**5 + 2*i**5 + 10*i - 2 - 7*i**2 - 10*i**4 + 13*i**3 - 13*i**a = 0. Calculate i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 132 minutes after 12:54 PM?\nAnswer: 3:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/11, 1\/47, -309 in descending order.\nAnswer: 1\/47, -2\/11, -309","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) be the first derivative of -68 + 14*x**2 - 4\/3*x**3 + 32*x. Let o(v) = 0. What is v?\nAnswer: -1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -15*s + 12. Give w(1).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -22330303 - -2?\nAnswer: -22330301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -i**4 + i**3 - 1. Let j(h) = -2*h**3 + 4*h**2 + 4*h + 1. Let k(l) = 2*j(l) + 2*z(l). Let k(t) = 0. What is t?\nAnswer: -2, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((r*r\/(r**(-9\/2)\/r)*r*r)\/r*(r**5\/r)\/r)\/(((((r*r\/((r*r**(-2\/43))\/r)*r)\/r)\/r)\/r)\/r**(-1\/2)))**43)**(-12) assuming r is positive.\nAnswer: r**(-5652)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v - 2*v = 30. Let f = -5 - v. Let x(u) = -u**2. Let i be (-4)\/(-10) - (-8)\/5. Let c(d) = d**2 - d - 1. Determine f*x(y) + i*c(y).\nAnswer: y**2 - 2*y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 250*i - 123. Suppose 5*n = 15*l - 11*l + 46, 0 = 3*n + l - 14. Let h be a(n). What is the highest common divisor of h and 81?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 178395.\nAnswer: 3, 5, 7, 1699","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 396384813?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 c when four letters picked without replacement from ccccccc?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 193.2783 meters to millimeters.\nAnswer: 193278.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 0*((-9)\/6)\/3. Let c(u) = -4*u + i + 7 + 10*u + 11*u. Is c(3) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -14*u**2 + 11*u - 17. Give c(2).\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*o**4 + 22*o**3 + 52*o**2 + 32*o.\nAnswer: 2*o*(o + 1)*(o + 2)*(o + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 15 = -f. Let u be (-8)\/(-12)*f - -1. Solve u*h = 5*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xmmmooomxmoogxox. What is prob of sequence moxg?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor w**2 - 2759*w - 7378142.\nAnswer: (w - 4426)*(w + 1667)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) be the second derivative of 0*l**3 + 38*l - 3\/4*l**5 + 0*l**2 + 0 - 9\/4*l**4. Find the third derivative of u(a) wrt a.\nAnswer: -90","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1183 (base 10) to base 2\nAnswer: 10010011111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2*k**4 + 87*k**2 + 827*k + 402433 wrt k?\nAnswer: -8*k**3 + 174*k + 827","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 152651 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - 6*q = -3*q - 46, 4*t + q = 92. Suppose 4 = -4*k + 16. Solve -t = -5*u - f, -2*f + 12 = 2*u - k*f for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 4*a + 25 = 0. Let c = -2 - a. Suppose -c = 5*m - o - 3*o, 1 = 5*m - 2*o. Which is smaller: m or 1\/7?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000548318398 to 6 decimal places.\nAnswer: -0.000055","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/11 in 750, 0.5, -1\/11, -1\/20?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -q**3 - 5*q**2 + 8*q + 14. Let m be n(-6). Let h(t) = 5*t - 4*t - 2*t + 2*t**m - t**2. Let b(r) = 5*r**2 - 4*r. Determine b(i) - 4*h(i).\nAnswer: i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 + 1\/3*q**3 - 5\/3*q**2 + q + 1\/3*q**4 = 0.\nAnswer: -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -35 divided by -282.\nAnswer: 35\/282","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11.2983 + 0.5.\nAnswer: -10.7983","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.34 + -0.16. What is the nearest to -1 in s, -2, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 6497465 to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -12*f**5 + 2*f**4 - 687460*f**2 + 1099323773*f wrt f.\nAnswer: -240*f**3 + 24*f**2 - 1374920","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/(t**(-2)\/t))**(4\/25)\/((t*(t**(-6)*t)\/t*t*t*t)\/(t*t**(-8))) assuming t is positive.\nAnswer: t**(-109\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 1, -1, 254.\nAnswer: -2, -1, 1, 254","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.041? (a) -3 (b) 2\/5 (c) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1312 - -1314. Calculate the least common multiple of 114 and m.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-8)\/10)\/(-20 - 3020\/(-150)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 11893 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in s - 2*s + 37488 - 37707.\nAnswer: -s - 219","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -103201021 (base 4) to base 5\nAnswer: -10024240","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -5*f**2. Let z(g) = -909559*g**2 - 6*g. Calculate z(b(a)).\nAnswer: -22738975*a**4 + 30*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 4 (b) -12 (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.07806 rounded to 3 dps?\nAnswer: -0.078","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -52*h - 195 = -247. Which is smaller: -16\/2741 or h?\nAnswer: -16\/2741","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(153) + -5*(sqrt(153) + sqrt(153)*-2 + sqrt(153)))*-5)\/((sqrt(9) - (-2*sqrt(90))\/sqrt(10)) + sqrt(81)\/(-2*sqrt(9))).\nAnswer: 6*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*k - 2*k. Suppose 67 = 4*r - w, k*w + 2*w = -5*r + 100. Suppose 0 = l + l - r. What is the units digit of l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -c**3 - 26271*c**2 + 157655*c + 47. Calculate y(6).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 3*f**2 + 4*f - 158. Calculate the remainder when j(-10) is divided by 10.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -4*a**2 - a + 5. Let k(c) = c + 7. Let w be k(-4). Let g(f) = 5*f**2 + 3*f - 5. Let z(s) = w*g(s) + 4*p(s). Determine z(6).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*g - 2551 - 1702 - 283 = 0. What is the lowest common multiple of 144 and g?\nAnswer: 1008","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 1, u: 2}. Give prob of picking 2 u.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by 4867329\nAnswer: -1\/1622443","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 6 (base 10) to base 16\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -129778 by -374.\nAnswer: 347","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -12.649 to 1 decimal place.\nAnswer: -12.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-37 - -23)\/((-38)\/18 - -2). Suppose 7*x = 84 + b. What is the remainder when 292 is divided by x?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*(w\/w**(-3\/7))\/w*w)\/((w*w*w*w*w*w**(-17))\/w)*w*(w*(w*w**(-4\/15)*w)\/w)\/w*w*w**(-6)\/w*w assuming w is positive.\nAnswer: w**(1277\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 154\/(-88) - 6\/(-3)\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 20967 and 870?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) be the first derivative of w**3\/3 + 3*w**2\/2 - 7*w - 11794. Let j be (6 + -2)\/(2\/(-4)). Calculate z(j).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 818b7 - b?\nAnswer: 818a8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 + (2 - 3))\/((-25)\/(-5))?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = j**3 - 438*j**2 - 1746*j - 9719. What is x(442)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 76*l**2 + 1 - 78*l**2 - 1. Let m(g) = -39*g. Calculate y(m(v)).\nAnswer: -3042*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 - 91699?\nAnswer: -91707","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by 2411829.\nAnswer: 5\/2411829","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -1 - (3520\/(-28) + -3). Let q = w - 128. Which is bigger: q or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -3 - -85?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -259, -1044, -2353, -4186, -6543, -9424?\n\"Answer: -262*q**2 + q + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (9*8\/288)\/((-1)\/4).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1633, -3338, -5043, -6748?\nAnswer: -8453","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0 + 2. Let u = 14.1 - 14. What is the nearest to u in m, -5, 3?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x + 9*m - 8*m = 451, -2*x - 2*m + 174 = 0. What is the remainder when x is divided by 42?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -18 + 25. Let l = t + -3. Solve -w + j = 0, j - l = 2*w - 0*j for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -19 + 18.96. Let t = o - 2.96. What is the third biggest value in t, -1\/14, 2?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r = -o - 5, -r + 13 = 2*o + 2*o. Suppose -7*s = -o*s - 12. Solve 25 = 5*u + s*q, u - 1 = 3*q - 15 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -4*s. Let r(t) = 2*t - 171292. Give c(r(d)).\nAnswer: -8*d + 685168","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 13 + 1. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 237*i = 104977 + 133919. Solve -18*h = -130*h + i for h.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7121 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 166b3 - 38?\nAnswer: 16677","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 85*q**2 - 43*q - 28. Does 19 divide g(-13)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*d + 95 = -27*d. Let x(j) = -j**3 + j**2 + 7*j - 10. Is 2 a factor of x(d)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4075, 8150, 12225?\nAnswer: 16300","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.4, -5, -0.3, 0.01 in decreasing order.\nAnswer: 0.01, -0.3, -0.4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 5471684, 10943367, 16415050, 21886733?\n\"Answer: 5471683*w + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 70668 by 151.\nAnswer: 468","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = g**2 + 8*g + 8. Let u(y) = 6*y**2 - 40*y + 37. Let w(c) = 4*d(c) - u(c). Calculate w(36).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-27)\/675)\/(6\/(-20))\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 1\/5 of a gram?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 808 is divided by 58?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -12 + 54. What is the second derivative of 67*t**2 + 2*t**5 + u*t - 14*t**2 - 22*t**2 wrt t?\nAnswer: 40*t**3 + 62","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11743 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 4*x**2. Let i(z) = 5*z - 6. Let f(l) = l - 1. Let v(w) = -2*w**2 - 2*w - 2. Let j be v(-2). Let c(q) = j*f(q) + i(q). Determine g(c(t)).\nAnswer: 4*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f + 4*q - 10 = 9*q, 2*f = 5*q - 5. Calculate the remainder when f is divided by 5.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 969 is divided by 140.\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -426559\/23 or -18545?\nAnswer: -426559\/23","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Express (-2*b - 2*b + 2*b)*(6*b**2 + 3*b**2 + 0*b**2) + b**3 - 3*b**3 + b**3 in the form i*b**2 + t*b + h*b**3 + f and give h.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8639455?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that -2*a**4 + 484*a**3\/3 - 6998*a**2\/3 + 6776*a - 3528 = 0.\nAnswer: 2\/3, 3, 14, 63","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -2*12\/16*-2. Suppose 4*w + 12 = -g, 0 = v*g + 3*w - w - 4. Suppose 6*k - 34 = g*k. What is the units digit of k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -s**2 + s + 6. Let d be l(3). Let f = -19 + 30. Let y = f - 12. Sort -3, d, y.\nAnswer: -3, y, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -21*o**2 + o + 10. Let v(w) = -22*w**2 + w + 9. Let x(r) = -5*g(r) + 6*v(r). Let m(q) be the first derivative of x(q). Is m(-2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:43 PM and 1:06 AM?\nAnswer: 623","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*i + 24*i = -3*c - 15, 3*i = 2*c - 8 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 1, 1198, -1 in ascending order.\nAnswer: -4, -1, 1, 1198","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-6)\/21 + 498\/(-21). Suppose 3*y + 5*a + 118 = 665, a = -2*y + 353. Let t = y + s. Does 10 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 21*w**4 - 39*w**4 + 415 - 831 + 20*w**4 - 3*w**3 + 2*w + 2*w**2 + 419 to b*w**2 + h*w**3 + l*w + v + n*w**4 and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1145*r**2 + 2423*r.\nAnswer: -2290","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -6*n + 6. Let g = 13 - 11. Suppose 14 + g = -4*j. Does 10 divide p(j)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2215251 - -31?\nAnswer: 2215312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) be the second derivative of u**4\/6 - 1760*u**3\/3 + 774400*u**2 - 1576*u. Factor v(p).\nAnswer: 2*(p - 880)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = m**2 + m. Let w(i) = 17*i**3 + 102*i**2 + 102*i. Let x(o) = -102*c(o) + w(o). Give x(-1).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -15696, -127266, -430558, -1021428, -1995732?\nAnswer: -3449326","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 10623*b**2 - 3. Let d(l) = 3*l**2. Give t(d(z)).\nAnswer: 95607*z**4 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (6*k + 2*k - 2*k + (3*k - 5*k + k)*(0 - 5 + 1))*(k + 0*k - 54*k**2 - k - 44*k**2) to f + a*k**2 + m*k**3 + r*k and give m.\nAnswer: -980","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-12)\/30 - 804\/(-10). Suppose -12*a = -9*a - 30. What is the highest common factor of p and a?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 5364083178?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -j**3\/3 - 302*j**2 + 9005*j - 93500\/3.\nAnswer: -(j - 25)*(j - 4)*(j + 935)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-1)\/(-2))\/((-1)\/20). Let h = k - -17. Suppose 0 = -49*q + 231 + 896. What is the remainder when q is divided by h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 3, o: 3, c: 2, j: 2, b: 3}. What is prob of picking 1 c and 1 b?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*(sqrt(99)*-4 + sqrt(99)))\/(sqrt(1152)\/sqrt(2)) - 3*(-3 + sqrt(99) + 0)*-5)**2.\nAnswer: -15525*sqrt(11)\/4 + 1438875\/64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x*x**(-1\/14)*x**34\/x assuming x is positive.\nAnswer: x**(475\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 11 - 5. Suppose 5*l - 38 = 3*h, z*l = -4*h + 3*l - 12. Which is bigger: h or -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 807 divide 82831027?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 1108349*h**4 - 162716 wrt h?\nAnswer: 4433396*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j - 5*h = -4*j + 6, -25 = 5*h. Solve -j*f + 16*f = 6 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14\/(4*-1*(-6)\/(-12))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1a705 - 2?\nAnswer: -1a707","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 16\/64*7\/((-28)\/8)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 579692?\nAnswer: 2, 23, 6301","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -68, -68, -80, -110, -164, -248, -368, -530?\nAnswer: -740","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (12*q - 220 + 220)*(q - 5*q + 3*q) + q**2 + 0*q**2 + q**2 + 0*q**2 + 3*q**2 - q**2 + (-4 + 1 + 1)*(4*q**2 + 0*q**2 - 6*q**2).\nAnswer: -4*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -1265268+-17152\nAnswer: -1282420","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2 (b) -5 (c) -2\/13 (d) -112\/5 (e) 8 (f) -0.05\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -7*p**3 - 45*p**2 + 105*p - 57. Let j(l) = -155*l**3 - 990*l**2 + 2310*l - 1255. Let a(c) = -2*j(c) + 45*z(c). Solve a(t) = 0 for t.\nAnswer: -11, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -6 or -1\/47?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 4 from -27478.69907.\nAnswer: -27482.69907","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2459, -4937, -7445, -9983?\nAnswer: -12551","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2535877\/3 or 845292?\nAnswer: 2535877\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = 5*w - 18569, -3*w - 18560 = -8*w + 5*o. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*o - 4866079 = -6*o - 71*o. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify r*r*r\/(r**(-10)\/r*r)*r*((r\/(r*r\/(r*r*r*r\/(r*r**(-10))*r)))\/r)\/r*(r\/(r*((((r\/(r*(r\/(r**(1\/28)\/r*r)*r)\/r))\/r*r)\/r)\/r)\/r))\/r*r**8 assuming r is positive.\nAnswer: r**(1007\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*c - 5*c = 12. Suppose 0*i - 4*i - c*f = -20, -3*i + 10 = f. List the prime factors of 2*1\/i*43.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.020083 and 0.1401?\nAnswer: 0.0028136283","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2 + 1. Let j(b) = b**2 - 11*b - 78. Let m be j(-5). Solve 0 = -n*p + 8*p + m*x - 26, 0 = -2*p + 5*x - 7 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -101322341 (base 5) in base 10?\nAnswer: -417221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 21.651 less than 93?\nAnswer: 71.349","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = n**3 - 2*n**2 + n + 4. Let g be 2\/(-13) + (400\/(-13))\/(-5). Let r be a(g). Let z = r - 76. What is the remainder when z is divided by 20?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -4*(2 + -4 - -1). Let z be ((-156)\/(-51))\/((-20)\/(-170)). Let o be -2*(1 + -2) - 2. Solve -c*i - 9 = 3*d + 11, 5*i + 4*d + z = o for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yudyf. What is prob of picking 1 f, 1 u, and 1 d?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l + 11*t - 10*t = 15, -5*t + 51 = 3*l for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (2 - 6) + -5 - (-4 - (15 - -4))\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 164 = 18*f - 372 - 28 + 96 for f.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 65, 38, 1, -52, -127?\nAnswer: -230","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -704, -718, -732?\nAnswer: -746","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 2974300 to the nearest one hundred thousand.\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15 - 227*i - 39*i - 122 - 69 - 215*i.\nAnswer: -481*i - 206","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -6*c - 63. Let q be i(-10). Let f(w) = w**3 + 7*w**2 + 6*w + 4. Let p be f(-6). Let m = p + -2. Put 0, m, q in decreasing order.\nAnswer: m, 0, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1325024 is divided by 259?\nAnswer: 239","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 13 + -9. Suppose -54 = -2*f - 2*j, 3*f - f - k*j = 78. Calculate the remainder when 123 is divided by f.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 896*l + 58*l + 48*l.\nAnswer: 1002*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 707 + 8c?\nAnswer: 795","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 293544\/702603 + (-24)\/(-188).\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*x - 645 = 8*x. Let z = x - 245\/2. Let q = 9983 - 59759\/6. Calculate the common denominator of z and q.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3 + -1. Suppose u*x = -j + 44, 5*j - 3*x = j + 132. Let c be (8 + -4)\/(3\/36). Calculate the greatest common factor of j and c.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*c**2 + 4*c**2 + 5*c**2)*(-4*c**2 - 10*c + 10*c + (0*c + 5*c - 3*c)*(0*c - 2*c + 0*c) - 1 + 1 + 2*c**2 + 0*c**2 - 2*c**2 + 0*c**2).\nAnswer: -40*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 128 minutes before 7:55 PM?\nAnswer: 5:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = n**2 - 7*n + 1. Let u be z(7). Let f be u - -14*(-3 - -4). Solve -3*q = -2*l - f, 8 = -4*l - q - 1 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100 + -111110001110111101?\nAnswer: -111110001111000001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -1675000 rounded to the nearest one hundred thousand?\nAnswer: -1700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*n**4 - 15*n**3 + 39*n**2 - 21*n.\nAnswer: -3*n*(n - 1)**2*(n + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*b**5 - 3*b**5 + 20*b**5)*((3 + 2 - 3)*(-3 + 7 + 0) + 0 + 0 + 1 + (1 - 2 + 0)*(-2 + 4 + 0)).\nAnswer: 91*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -4*x - 5. Let z(a) = 5*a + 5. Let p(k) = 3*f(k) + 2*z(k). Does 7 divide p(-7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 16 and 722344.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7084\/37191*(-1)\/10*14?\nAnswer: -4\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 28359?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3311 (base 5) to base 2.\nAnswer: 111001000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) be the first derivative of 0*k + 5\/3*k**3 - 1 + 0*k**2. Let f(m) be the second derivative of -m**3\/2 - 7*m - 77. What is f(g(s))?\nAnswer: -15*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b, 1 k, and 1 e when three letters picked without replacement from {k: 7, z: 1, e: 1, b: 4}?\nAnswer: 14\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 69632337 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (4\/5)\/(6\/15). Let d(y) = -5*y - 11. Let n be d(-3). What is the third derivative of 11*j**4 + 2*j**2 - 5*j**z - 5*j**n wrt j?\nAnswer: 144*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 204 divide 1895850?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 4 (base 12) to base 13\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 34*r**3 - 4*r**2 + 22*r. Let i(t) = -34*t**3 + 5*t**2 - 23*t. Let b(n) = -4*i(n) - 5*u(n). What is the second derivative of b(o) wrt o?\nAnswer: -204*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -668 - -677. What is the nearest to 2 in 3\/2, -1, k, 0?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/u**0)\/u*u**(1\/18)*((u*u**(1\/4))\/u*u)**(4\/7))**(1\/13) assuming u is positive.\nAnswer: u**(97\/1638)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -16 + 9. Let m = 0.1 + -0.2. Suppose 129*q - 215 = 43. Which is the closest to m? (a) -2 (b) x (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 65 = 58. Calculate the remainder when o is divided by 32.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 12 by -90.\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 664 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 33430328.\nAnswer: 2, 4178791","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + -5*(4 + (sqrt(6)\/sqrt(3) + 4 - 5*sqrt(8))) + 2)**2.\nAnswer: -3240*sqrt(2) + 5346","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -125 - 19?\nAnswer: -143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(1\/2)\/x)**(10\/13) assuming x is positive.\nAnswer: x**(-5\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2)\/((-4)\/14) + 0. Suppose 3*v - 2 = i. List the prime factors of v.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 674*x + 14. Let i be p(13). Suppose 0 = -12*v + 4*v + i. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k\/(k\/(k**18\/k))*k)\/k)\/k**(-10\/11))\/(k**(-2\/29)\/((k\/k**1)\/k)) assuming k is positive.\nAnswer: k**(5416\/319)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a tonne in kilograms?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 10*r + 21. Let h be v(-6). Let s = 129 + h. Calculate the greatest common factor of 10 and s.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -3*u. Let l(z) = -751*z**2. Give v(l(q)).\nAnswer: 2253*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -5 - -13. Suppose b = -3*j - j. Let h be (11\/4 + j)*4. Solve 0*l = h*l - 6 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -192 = -81*x + 328 - 115. Let q(k) = 6*k + 13. Give q(x).\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 719 divide 3250659461?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -2899746 divided by -3?\nAnswer: 966582","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (1*131)\/(845\/57460) is divided by 110.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nppppppp. What is prob of picking 2 p?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + v = -3*w - 1, -4*v = -5*w + 13. What is the units digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1488.8 - -842.7. Round m to the nearest ten.\nAnswer: -650","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -26*(-350)\/(-455) + 222\/10?\nAnswer: 11\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2\/(5\/(-10)*2). Let o be ((-3)\/t)\/(171\/(-60) + 3). Solve 4*n = -2 - o for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 261\/8*f + 15\/4*f**3 + 24*f**2 - 3\/2*f**4 - 3\/8*f**5 + 27\/2 = 0. Calculate f.\nAnswer: -3, -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26719 a multiple of 77?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -38*r + 9 + 523 = 0 for r.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ubububbbbb. Give prob of picking 3 u.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + (3 - (-10 - -11)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - p = 3*y + 12, -5*p + 2*y + 8 = 0. Let g be (11\/3)\/(-11)*(-99 + p). Let m be 114\/4*22\/g. Calculate the greatest common factor of m and 152.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 69 minutes after 8:51 AM?\nAnswer: 10:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 10843 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -8335.7 + 872602955\nAnswer: 872594619.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i, 1 z, and 1 l when three letters picked without replacement from {l: 1, p: 1, z: 1, i: 1, a: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -30577745*d**2*k**2 + 34*k**2 + 34*k - 280 wrt d.\nAnswer: -61155490*d*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 204063 and 2168?\nAnswer: 271","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1875?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 0, -2\/9, -1\/7, -2\/7, 0.1, -14886\/5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-59 + 12*o**2 + 59)*(-1 + 0 + 0) - 2*o - 2*o**2 + 2*o + (2*o - 6*o + 2*o)*(2*o + 2 - 2) - 259*o - 88*o**2 + 259*o.\nAnswer: -106*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-4)\/8)\/((-2)\/24). Let o(t) = t**3 - 5*t**2 - 6*t + 7. Calculate the remainder when (20\/6)\/(2\/12) is divided by o(w).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = h**2 + 30*h + 210. Calculate the remainder when 54 is divided by y(-11).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 4, f: 1, u: 6}. What is prob of picking 2 b?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -66 - 27*u**3 + 47 + 91*u**3 + 19.\nAnswer: 64*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p = 4*p - 4 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -745, -749, -757, -769, -785, -805, -829?\nAnswer: -857","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 200.4 times -2\nAnswer: -400.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -a**2 - 3*a + 7. Let f be d(-5). Let i be -1202*(-1 + 1*f\/(-6)). Let u = -313 + i. Is 12 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 331*s**2 - 652*s**2 + 334*s**2.\nAnswer: 13*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 77, 118, 191, 302, 457, 662, 923?\n\"Answer: v**3 + 10*v**2 + 4*v + 62","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 112 = 5*j - 83. Calculate the highest common factor of 13 and j.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-72)\/(-9))\/272)\/((-10)\/(-85))?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = c**3 + 3*c**2 - 1118*c - 7627. Give y(-7).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -210453 divided by -59?\nAnswer: 3567","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 6*a - 7*a - a + a**3 + 8*a - 5*a**2. Calculate s(4).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1294 is divided by 256.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/(-16))\/3*19566\/(-16305).\nAnswer: -3\/20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 20.66542ml?\nAnswer: 0.02066542","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (175824\/(-275))\/(-8) + 2\/50*2. Solve 0 = -r*a + 48*a - 32 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 4 (b) -4 (c) 224 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 22\/6 - (-10)\/(-15). Let x = t + 2. Suppose -2*w - 9 = 5*r, 0 = -3*w - 5*r - x - 1. What is the least common multiple of w and 4?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 1\/4, -1, 5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t = 5*j - 10, 0 = -j + 5*j - 4*t - 8. Suppose 40*p**j - p - 28 + 24*p - 30*p**3 - 17 + 5*p**4 + 7*p = 0. Calculate p.\nAnswer: -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 487340779 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -3*t. Let h(m) = -7676380*m**2. Give h(c(g)).\nAnswer: -69087420*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (0 + 3)*60\/18. Suppose -8*t = -r*t + 102. Suppose 5*y - t = 29. 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 -1346021, -2692041, -4038063, -5384087, -6730113, -8076141, -9422171?\nAnswer: -10768203","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 3670\/44*(-4136)\/(-110). Let c = g - 3134. Let y = 1741\/4 - 439. What is the common denominator of y and c?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 3634148.8 to the nearest 100000.\nAnswer: 3600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 154*i - 12271. Let d be o(80). Let g = 14 - 7. Calculate the greatest common factor of g and d.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -8250, -16516, -24778, -33036?\n\"Answer: 2*h**2 - 8272*h + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k when two letters picked without replacement from fnnknfkkknf?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 2, z: 4}. What is prob of picking 2 x and 2 z?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tqttqttt. What is prob of sequence ttqt?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) be the third derivative of -3\/4*k**4 + 0 + 1\/3*k**3 + 2*k**2 + 0*k. Is q(-3) a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 2 h when three letters picked without replacement from {h: 3, r: 1, w: 1, n: 4, l: 9}?\nAnswer: 9\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1454\/45 - -488\/15. Suppose 0 = -0*g - g. Let r = -1.1 - -5.1. Which is the nearest to r? (a) x (b) -2\/7 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 54254731 to the power of 1\/5, to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p = t + t + 10, 5*t = p - 25. Suppose 5 + p = v. Find w, given that 4*w**2 + 5 - 4*w - w + 1 - v = 0.\nAnswer: 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 8*d - 7. Let r(k) = 110*k**3 + 4*k**2 - 5*k - 1. Let q be r(2). Let m = q - 879. Give x(m).\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 360778 and 1364.\nAnswer: 682","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 992119077*w**2 + 834704870*w wrt w?\nAnswer: 1984238154","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 675369546 to the power of 1\/3, to the nearest integer?\nAnswer: 877","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16040*l + 30 = -16050*l for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -115 - -115. Let r(m) be the third derivative of 0*m - 1\/24*m**4 - 1\/120*m**5 + n + m**2 - 1\/12*m**3. Factor r(v).\nAnswer: -(v + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2.3 - -83.8. Let c = a + -91.5. Put -0.7, 2\/7, c in descending order.\nAnswer: 2\/7, -0.7, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 1 o when two letters picked without replacement from qomymqymmqymq?\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 94781, 94777, 94773, 94769, 94765, 94761?\n\"Answer: -4*u + 94785","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p = 0, -l = 2*l - 2*p - 6. Let f = -8 + 7.5. Which is the closest to -2\/7? (a) 3 (b) f (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(243) + 0)**2 + sqrt(9)\/(-2*sqrt(3)) + sqrt(33)\/(-1*sqrt(11))*3 + 5 + -5*(3 + sqrt(27)) + 5.\nAnswer: -37*sqrt(3)\/2 + 238","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 12, -0.17, -2, -4?\nAnswer: -0.17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 18 (base 12) to base 6\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3*(-3)\/9*136\/(-17)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = m**2 - 1. Let a(w) = 7*w**2 - w + 8. Let h(b) = -a(b) + 6*n(b). Let d(k) = 2. Suppose 6 = o - 4*o. Let t(c) = o*h(c) - 14*d(c). Factor t(g).\nAnswer: 2*g*(g - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 54408 to the nearest integer?\nAnswer: 233","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 9*s**2 + 48*s - 151. What is the thousands digit of b(-30)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 167972, 336592, 505212, 673832, 842452, 1011072?\n\"Answer: 168620*l - 648","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2 + 1.7. Suppose -2*i = -4*n + 2*i - 16, 3*i = 2*n + 8. What is the second smallest value in -0.5, 1\/9, j, n?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 499.893 plus -2.87186?\nAnswer: 497.02114","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -198*u + 8675 - 6889 + 5295 = -10541 for u.\nAnswer: 89","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1170 + 1191. Solve -147 = 21*k - v for k.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5163019891 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 457802 - 2?\nAnswer: 457800","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*c**2\/7 - 437901*c\/7 - 262746\/7 = 0.\nAnswer: -3\/5, 29194","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 4*h**2*i**2 - 3*h**2*i - 94*h**2 - h*i**2 wrt i?\nAnswer: 8*h**2*i - 3*h**2 - 2*h*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31 = -5*s - 21. Suppose -x - 3*x = s*v - 2366, 0 = -2*x + 2. Suppose 10*f = 3531 - v. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 6 - 1 - 2 - 3 + 4 + (3 - 4 + 0)*(-7 + 3 + 2) + 1 - 2 + 6 - 1 + 21 + 5 + 0)*(-11*z**3 + z**3 - 5*z**3) to d*z**2 + r + n*z + h*z**3 and give h.\nAnswer: -495","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.38 times 200?\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 87589 to the power of 1\/5, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -203 - -198. What is the closest to 4 in 2\/11, k, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 8, 2, 0, -100 in decreasing order.\nAnswer: 8, 2, 0, -100","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -31377420 < -31377417?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2668, -2268, -1602, -670, 528?\nAnswer: 1992","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -1. Let j(h) = -2*h - 12. Let s be j(-10). Let w(k) = 5*k - k + 2*k - s*k. Let d(v) = -2*b(v) - w(v). Give d(-3).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -41*h + 264. What is q(3)?\nAnswer: 141","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (2 - 99\/12)\/((-2)\/8). Suppose -7*q + 4*q - l + 17 = 0, -4*q = -4*l - 12. What is the greatest common factor of q and d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 70153270 (base 8) to base 12.\nAnswer: 4b27274","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(-1\/5)\/(m\/(m\/(m\/(m**(1\/6)\/m)))*m))\/(m**1\/((((m\/(m**(1\/7)*m))\/m)\/m)\/m)))\/(m**7*m\/m**(8\/7))**(-2\/11) assuming m is positive.\nAnswer: m**(-13697\/2310)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 500.1214ms?\nAnswer: 500121.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 4*m + 3*b + 12 = 0, 2*m + 20 = -5*b. Suppose -4*u + 8 = -m*u. Find the third derivative of h**5 + u*h**3 - 2*h**3 - 2*h**2 wrt h.\nAnswer: 60*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 2*y + 20 = 3*y, 4*y = -h + 17. What is the remainder when 5 is divided by h?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 7159 + -10049. Let g = 790 + u. What is g rounded to the nearest 1000?\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 172 - 32?\nAnswer: 140","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 11\/(495\/(-18)) + 4\/10. What is the closest to -2\/9 in 4, 23, m, 3?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -177364 divided by -1529?\nAnswer: 116","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 a factor of 12332234?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v when two letters picked without replacement from {i: 4, z: 3, w: 1, v: 3}?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 103\/28 and 103\/746005316.\nAnswer: 746005316","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 6894\/(-4)*(-2)\/(-42). Let z = j - -82. Calculate the common denominator of 41\/20 and z.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2482\/5 + 490. Let b = -2393 - -1609. Let m = 6333\/8 + b. Find the common denominator of a and m.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -9944000 to the nearest 100000.\nAnswer: -9900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 67, 155, 269, 421, 623, 887, 1225?\n\"Answer: 2*b**3 + b**2 + 71*b - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -66, 14, -3 in ascending order.\nAnswer: -66, -3, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -20483 + 20492. Solve -2*v + 5 + n = 2*s, v + 13 = 4*s for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1 - 22202102?\nAnswer: -22202110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*v - 508 = -1858. Calculate the greatest common divisor of v and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4125885 is divided by 485?\nAnswer: 475","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (-6*(sqrt(52) - sqrt(832))*1)\/(4*(sqrt(400) + sqrt(400)*1 + sqrt(400))).\nAnswer: 3*sqrt(13)\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 182 and 78441818.\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 208*0.4.\nAnswer: 83.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (-18 - 5907\/(-330))*1\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is (1 - 2)*(-137 - (-3 + 9)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*c + 0*c + 0*c)*(-1 + 2 + 0) - 7*c - 24 + 24 + 26 + 425*c - 26 + 4699*c + 0 - 2 + 2 + 2*c + (4*c - 3*c - 2*c)*(-2 - 1 + 4).\nAnswer: 5120*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 179298?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/(r*r\/(r**(-7\/2)*r)))**(-2\/79)\/(r**21*r**6) assuming r is positive.\nAnswer: r**(-2126\/79)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1502.\nAnswer: 2, 751","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -2 + 4*x + 0 - 5*x. Suppose -p = 3 - 1. Give f(p).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 44 + -1 + 714 + -740.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1034 + 4?\nAnswer: -1030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (45175\/390)\/139*(1\/(-95))\/(4\/(-12))\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1044 - 1031. Calculate the remainder when 59 is divided by v.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 26 + -11. Suppose -4*t + 9*t - o = 0. Let u(k) = k**2 - 2*k - 1. What is the units digit of u(t)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7018636?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -102432.8057 to the nearest one hundred.\nAnswer: -102400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out 690 * -0.3.\nAnswer: -207","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-28)\/(-2)*-11*(-7)\/154.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 11458 (base 15) to base 13\nAnswer: 1c046","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v**(-17))\/(v*v**(-4\/3)))\/((v*v\/(v*v\/(v**17\/v)*v))\/v*v*v**(1\/3)) assuming v is positive.\nAnswer: v**(-31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 2998662397 to the power of 1\/2, to the nearest integer?\nAnswer: 54760","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*u - 4*u - 2*u**4)*(-2 + 2 - 1) + u**4 - 2*u + 2*u - 2*u**4 + 3*u**4 - 2*u**4 - 101*u**2 + 108*u**2 + 3 - 3*u**4 - 704*u + 741*u.\nAnswer: -u**4 + 7*u**2 + 37*u + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2.6 + -2.8. Let u = -20.6 + 21.7. What is the smallest value in a, -0.5, 1, u?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (5 + sqrt(15)\/sqrt(3))*-1 + (sqrt(1715)*1)\/(sqrt(343)*-2).\nAnswer: -3*sqrt(5)\/2 - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -37656*q**2 - 177 + 37652*q**2 + 70 in the form k + b*q**2 + u*q and give k.\nAnswer: -107","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -2809825 less than -2809829?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 7*n - 291 = 0. Suppose 4*x + 41 = -o + 4*o, -7*o = -x - 29. Which is the biggest value? (a) -1 (b) n (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 402? (a) 146\/7 (b) 0.3 (c) -604\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a = 4*u - 180, 6*u - 68 = 4*u + 3*a. Suppose m - 43 + u = 0. Solve -m*t + 1 = -5 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) be the third derivative of o**5\/60 + 3*o**4\/4 + 19*o**3\/3 + 13*o**2. Let f be v(-16). Let z be (40\/(-8))\/(2\/(-1*f)). Solve z = 3*b + 2*b for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 136 and 5644.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.032337296 to three dps.\nAnswer: -0.032","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -s**3 + 21*s**2 + 33*s - 45. What is y(-2)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10 + 15398*v**2 - 7673*v**2 - 7698*v**2.\nAnswer: 27*v**2 - 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*w = -3*a + 49, 90 - 68 = -4*w + 2*a for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + 1*sqrt(1584) + 0 + (-1 + (sqrt(1584)*1 - sqrt(1584)) - sqrt(1584) - sqrt(1584)))**2.\nAnswer: 48*sqrt(11) + 1588","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = u + 6. Let b(s) = -2*s - 5. Let p(n) = 3*a(n) + 2*b(n). Let m be p(7). List the prime factors of 6 - 3 - (-1 - m).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-76*(-38)\/(-532))\/((-16)\/168*(-3)\/1)?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 50 minutes before 8:36 PM?\nAnswer: 7:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yvvvyv. What is prob of picking 1 v and 2 y?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1737316 to the power of 1\/7, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n = -r + 6, 4*n - 3 - 5 = -4*r for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -8*r**3 + 39*r**2 + 9*r - 12. Let m be w(5). Solve -x + m = x for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -960*m - 3. Let h(l) = l**2. What is h(v(w))?\nAnswer: 921600*w**2 + 5760*w + 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) be the first derivative of 0*l - 1\/4*l**4 - 1 + 0*l**2 - 2\/3*l**3. What is the third derivative of u(v) wrt v?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 3 and -14.481?\nAnswer: 17.481","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 1, f: 1, v: 4, u: 2}. What is prob of picking 3 v and 1 g?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4449779, 8899556, 13349333, 17799110, 22248887, 26698664?\nAnswer: 31148441","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 times -3.37?\nAnswer: -16.85","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -u**3 + 0*u**3 - 24*u + 1 + 24*u + u**2. Calculate the remainder when k(-2) is divided by 2\/(-9) + 65\/9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -11 + 156\/6 + -11. Suppose -6*a - 2*a**2 + 10\/3*a**3 - 2\/3*a**u + 0 = 0. Calculate a.\nAnswer: -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(4\/3)\/u**15)\/((u\/(u**(-1)*u))\/u)**(14\/9) assuming u is positive.\nAnswer: u**(-41\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z = 3*t - 43, 0 = t + 2*z - 0*z - 16. Let g = -1 + t. Solve -3*r + 2*u = 12, 2*r - 2*u + g + 5 = 0 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 8, -7, -3\/8?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 354 minutes before 2:00 PM?\nAnswer: 8:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -67163930*u**2*v**2 + 10*u**2*v + 16*u**2 + 6*u*v - 15*u + 62*v wrt v.\nAnswer: -134327860*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 58310 and 1632680?\nAnswer: 1632680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 228739, 228740, 228741, 228742?\nAnswer: 228743","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -11910.013 - -11903. Let y = 7 + x. Let w = 0.0039 + y. Round w to 3 decimal places.\nAnswer: -0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = y**2 + 3 - 2*y**2 - 1. Let v be a(2). Is v > -7\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -9.9 - -11. Let p = j - 0.6. Let g = 588 - 585. Which is the nearest to 2\/3? (a) p (b) 1\/6 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let v = -107\/12 - -89\/12. Which is the smallest value? (a) v (b) 0.5 (c) 1\/7 (d) 1.3 (e) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 259432 to the nearest integer?\nAnswer: 509","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o - 5*i - 32 = 2*o, 2*o + 2*i = -16 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*s - 1 + 1.\nAnswer: -8*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (((-6)\/(-20))\/(159\/(-848)))\/((-14)\/5)\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8\/(-5 + -3))\/(((-3)\/147)\/(-1))?\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 67353877 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*q + 108 = 18*q. Which is the nearest to 0? (a) -1\/4 (b) -0.7 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) be the first derivative of -1999999\/3*r**3 + r**2 + r + 2. Let k be g(-1). What is k rounded to the nearest one million?\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6593.1 plus 10?\nAnswer: 6603.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.083 - -14.717. Let u = c - 122.8. Let y = -107.999898 - u. Round y to 5 dps.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 28 = v - 4*v, -4*v - 36 = -4*d. Let w(i) = -3*i. Let k(y) = -16*y - 1. Let h(g) = g**3 - 2*g**2 + 1. Let a be h(-1). What is a*k(l) + d*w(l)?\nAnswer: -l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i = -3*m - 0*i - 4, 0 = 2*m + 5*i - 1 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 32592 = w, 24431 = 3*n - 6*w + 2*w. What are the prime factors of n?\nAnswer: 29, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 - -4 - ((-37 - -61 - -4) + (-16 - 0)).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 182086856?\nAnswer: 2, 7, 131, 24821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 355 divide 123976295?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 54 in 0.1, 5\/3, 2\/21?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -15*((-20)\/12 + 2). Let o(c) = -c + 1. What is o(t)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -16 + 25. Let o = 687293.9 - 687294. What is the closest to u in o, -0.5, 0.3, -4?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 117 and 598.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-6 + 6 + (-280)\/(-25))*-5. Let p be (6\/(-27))\/(y\/84). What is the closest to p in 3, 1\/9, -1\/9?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -66*n + 201. Let k be g(3). Sort k, 14, -1 in descending order.\nAnswer: 14, k, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + 15 - (139 - 141)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1 (b) 0.3 (c) 5 (d) -5 (e) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x + 77 - 6182 = -i, -2*i = 3*x - 4585. Let r be 2\/((-2)\/(-8) - 0). Suppose -3*j + r*j - x = 0. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 33632203 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 k(f) = -f**2 - 11*f - 8. Let h(j) = -j**3 - 6*j**2 - 3*j. Let q be h(-5). Let r be k(q). What is the units digit of (-18)\/((-12)\/16*r)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 295 + -744. Which is smaller: -451 or z?\nAnswer: -451","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -5*m**2. Let g(a) = 33*a - 16*a - 18*a. Give g(l(k)).\nAnswer: 5*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -1, -8\/5, -5\/4, -0.1 in decreasing order.\nAnswer: 5, -0.1, -1, -5\/4, -8\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 12\/14 - 224\/147. Let v be 2 + 38\/(-10) + 2. What is the biggest value in -2, v, r?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 12 = d. Suppose -h + 23 = 2*r, 24 = d*h + 4*r - 52. List the prime factors of (-38)\/(-10) - 12\/h.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -110 (base 8) in base 15?\nAnswer: -4c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 78932671 is divided by 416?\nAnswer: 415","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(-1*sqrt(396) - (sqrt(44) - sqrt(396)) - (-4*(sqrt(539) + 1 + sqrt(539)) + sqrt(539))) + 3.\nAnswer: 11 + 94*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 40536 to the power of 1\/4, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 166 is divided by 28?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 197 - 200. What is the nearest to -0.2 in -5, o, 1, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5262 - 5213 - (-1)\/1.\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -l**3 + 4*l**2 - l + 3. Let g be p(3). Solve -3*s + 0*s = g for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4391 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11856344 is divided by 1168.\nAnswer: 1144","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = 4*u - 31, -2*w + 76 = 5*u + 11. Let q be (-12)\/(-22) + 5887\/77. What is the highest common factor of w and q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.3 in 0.4, 0, -3\/2, 1?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -160367343 + 2?\nAnswer: -160367341","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -5477 less than or equal to -5476?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -4152*v - 19. Let t(d) = 2077*d + 8. Give 2*p(g) + 5*t(g).\nAnswer: 2081*g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 50*o**2 + 91*o**2 - o + o - 20*o**2 in the form d + l*o + a*o**2 and give a.\nAnswer: 121","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -20*x**2 + 11*x + 8. What is w(-1)?\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -41 + 44. Which is the biggest value? (a) m (b) -2\/9 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -26186 or -2?\nAnswer: -26186","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3 and 7905?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:23 PM and 5:28 PM?\nAnswer: 185","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 938 is divided by 27?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -19 + 4*z + 6 + 9*z**2 + 1. Does 15 divide w(6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -n**3 - 5*n**2 - 4*n + 5. Let j be s(-4). Let k = -9 + j. Let p be (k\/(-5))\/((-4)\/(-10)). Sort 1, -5, p in descending order.\nAnswer: p, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 535 minutes before 1:23 PM?\nAnswer: 4:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -2.47, 1\/4 in ascending order.\nAnswer: -2.47, 1\/4, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + 18 = -r - 3*r, 5*r = y - 13. Does 10 divide -4 + (38 - 3) + y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14 + 4961*t + 14.\nAnswer: 4961*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -44 + 62. Calculate the highest common divisor of 36 and j.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 31*n**2 + 21. Let l(m) = m**2. Calculate l(j(y)).\nAnswer: 961*y**4 + 1302*y**2 + 441","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8441 is divided by 136?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 56766.97m?\nAnswer: 56766970000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12\/3 + (42\/7)\/(-6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/(-8)*-11 + 4\/1\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q, 1 n, and 1 a when three letters picked without replacement from bbbsbqqqaan.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kxaxchxkkkkhxxccxx. What is prob of picking 2 c?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 6764070 * -5\nAnswer: -33820350","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 3, v: 2, q: 4, z: 1}. Give prob of picking 3 q.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 180046139 and 897?\nAnswer: 299","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a = 0, 5*g - 30 = 6*a - 2*a. Solve -q + 2*t - 6 = -g*q, -12 = -3*q - 4*t for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1945776853 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 473 minutes before 9:48 AM?\nAnswer: 1:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - s - 1980 = 400, -4*w - 4*s + 2360 = 0. What is the remainder when w is divided by 331?\nAnswer: 263","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 788\/4446 - 60\/390. Is 0 > b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pqph when four letters picked without replacement from jjjjhjjpphhjjjqjg?\nAnswer: 1\/9520","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.1245276665 to 5 dps.\nAnswer: 0.12453","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 19530 and 177055074?\nAnswer: 3906","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 13 + -9. Find the third derivative of 2*n**2 + 0*n**3 + 0*n**3 + q*n**4 - 3*n**4 wrt n.\nAnswer: 24*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -23 + 50 + (50 - 47)?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) be the third derivative of -w**5\/60 + w**2. Suppose 0*k = -3*k + 12. Let b(c) = -k*c + 6 - 6. What is j(b(u))?\nAnswer: -16*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -9144, -9163, -9218, -9327, -9508, -9779?\nAnswer: -10158","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 427671 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: Put -5, 3, -4, 14 in decreasing order.\nAnswer: 14, 3, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -520, -588, -786, -1180, -1836?\n\"Answer: -11*x**3 + x**2 + 6*x - 516","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4802 is divided by 4779.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-27)\/20 + 4\/(-6) + (-95)\/(-75). What is the fourth smallest value in -1, -5, 6, x?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*j + 3*j - j + (1 + 0 - 3)*(-3*j - 4*j + 6*j) + (-2 + 2 + 2)*(-2*j - 1 + 1) + 12*j + 25*j + 15*j.\nAnswer: 52*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0 - 1. Let o = -1.3 - c. Let l = 0.3 + o. Sort -4, l, -0.3.\nAnswer: -4, -0.3, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 26076 + 26083 + 2*i + 9*i**2 - 52162 as d*i**2 + y*i + j and give j.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:17 PM and 4:57 PM?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, 1, 94, -1, -4.\nAnswer: -4, -1, 0.1, 1, 94","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2 + -2. Suppose -3*m = -7*x + 2*x + 1391, -2*x + 557 = -m. Suppose q*w + x = 5*w. Calculate the highest common divisor of 16 and w.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -394\/5290695 or 0?\nAnswer: -394\/5290695","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -6f1 + -4?\nAnswer: -6f5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 2*w = -2, -2*h - w + 3 = -h. Let m be (-24)\/42 + ((-144)\/(-84))\/3. Solve m = -8*y - h*y + 12 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 1, x: 1, i: 1, j: 2, e: 1, h: 1}. Give prob of sequence xje.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -261 - -253. Let h be ((-36)\/60*(-10)\/t)\/(-123). Are 0 and h unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in seven halves of a litre?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -116*y - 1396 + 352 = 0 for y.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*t + 63 = 2*g + 13*t, -31*g = -2*t - 963. What is the greatest common factor of g and 10819?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -48441.52 to the nearest ten thousand.\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is d13 + -29?\nAnswer: cc8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 16*i - 28. Let h(j) = 3*j - 5. Let w be ((-1)\/(3\/(-5)))\/((-4)\/12). Calculate w*s(f) + 28*h(f).\nAnswer: 4*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -125.9387 to 0 decimal places.\nAnswer: -126","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 10439 divided by -3556\nAnswer: -10439\/3556","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Determine o, given that -3*o**3 - 36*o**2 - 96*o = 0.\nAnswer: -8, -4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 75777 (base 12) in base 9?\nAnswer: 255421","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 604*b**3 - 3*b**2 - 4*b + 7. Let t be s(1). Solve 0 = -53*j - 127 + t for j.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -344 + 347. What is the third smallest value in -2\/13, s, -4, 1\/9?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 39196258 less than -0.5?\nAnswer: -39196258.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 86*m**2 + 66*m + 538. Does 4 divide g(-9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2379232*b**3 - 5*b**2 - 1445414*b - 2 wrt b.\nAnswer: 14275392","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 1, r: 2, t: 1, g: 1, q: 1, i: 1}. Give prob of sequence pir.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a gram in milligrams?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a**4 + 21*a**3 - 27*a**2 - 21*a + 24 = 0. Calculate a.\nAnswer: -8, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.4 and 1366.8116479.\nAnswer: 1367.2116479","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -28 - -3. Let x = 45 + y. Is x a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + 2*(sqrt(832) + (sqrt(832) - (sqrt(832) - (sqrt(832) + 0 + sqrt(832)))**2) + 4 + sqrt(832)))*1.\nAnswer: -1652 + 48*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 11827 - 5513. Does 22 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sspsypssspppsppspsy. What is prob of picking 1 s and 1 y?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lo when two letters picked without replacement from olo?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 4*n = -199, 3*a + n + 137 = -n. Let q = a - -71. Calculate the highest common divisor of 70 and q.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 64*c**4 + 5*c + 12. Let i(b) = 64*b**4 + 5*b + 11. Let v(x) = -2*i(x) + 3*k(x). What is the second derivative of v(m) wrt m?\nAnswer: 768*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1050\/(-1120)*(-8)\/9?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand z**3 + 0*z**3 + 0*z**3 + (-29456 + 29456 + 207*z)*(1 - 1 - 3*z**2).\nAnswer: -620*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1466242 (base 7) to base 10.\nAnswer: 201469","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 6 + -2. Suppose 0*v + 4 = d*v. Suppose 0 = -2*o - 4, 4 - 5 = k + o. What is the remainder when k is divided by v?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -270.5 from -24.3.\nAnswer: 246.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.877 + 1.123. Let r = -1 - -1.2. Let w = 0.3 - r. What is the nearest to p in -5, w, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/(-9)*(24\/84*14\/(-2) + -40).\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1873125*c**4 + 694533*c?\nAnswer: 22477500*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 7134 a multiple of 96?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*r = 8*r - 14. Solve 0 = 2*n - r - 1 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 20+-1410862\nAnswer: -1410842","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -236 - -538. Calculate the remainder when t is divided by ((-3)\/12)\/(-21 - -26 - 1221\/244).\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 121 and 79552?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 8 - 0. Let r(l) = 42*l - 11*l + 2 - 9 - k. What is the units digit of r(5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 - (-5 + 5 - -1)) + -2?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -246 - -250. Solve -g - 2*o + 10 = -3*g, -i*o = -g - 5 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -116919.847 rounded to the nearest one hundred?\nAnswer: -116900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -160*t + 33*t - t.\nAnswer: -128*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (32*p + 24*p - 4 - 79*p)*(1 - p - 1) to t + u*p + j*p**2 and give u.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 760567 is divided by 36214.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from edextddedydxtttedd. Give prob of picking 1 e, 2 t, and 1 y.\nAnswer: 2\/255","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -5 smaller than 30\/17?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 200750?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*j + 0*j + 167 - 167 as n + h*j and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 930 divided by -31?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 0 - 4)*(0*w**3 - 4*w**3 - 3*w**3)*(0 - 5 + 3).\nAnswer: -42*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(1008)*-1)**2*4 + -1 - (6*(-4*sqrt(1008))**2 - (1 + 1*sqrt(1008))).\nAnswer: -92736 + 12*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:35 PM and 3:47 AM?\nAnswer: 432","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -603 or -600?\nAnswer: -600","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1268051 to the nearest integer?\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 1 + 5240252675\nAnswer: 5240252676","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1987294152?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 156*q - 2 + 161*q - 309*q.\nAnswer: 8*q - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-4 + 4)\/3 + -4. Let t be (18\/2 - 2)\/1. Let y be (t\/(-5) - -1)*5. Sort z, -3, y in descending order.\nAnswer: y, -3, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 16*t + 63. What are the prime factors of (-2)\/(-4)*t*3170\/(-15)?\nAnswer: 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (18 - (-8 - -29)) + 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.3 in 1\/5, 4\/5, -8, -2, 0.4, -0.0039?\nAnswer: -0.0039","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2405 - 2387. What is the closest to 1\/2 in x, 1\/3, -3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 69 = 5*z + 24. Suppose z*u - 737 = -143. Solve -u*o + 18*o - 148*o**2 + 144*o**2 - 144 = 0.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -70*(6 - (-270)\/(-35)). What is the units digit of 3*(v - (-6)\/(-6))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-9)\/(-42) - 956241\/(-462). What is the highest common factor of 450 and h?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 1280798, 1280796, 1280794?\n\"Answer: -2*k + 1280800","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 396*s + 26 = 5*q + 397*s, 0 = 2*q - s - 9 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -25473 - -509347\/20. Let i(v) = v**3 - 6*v**2 - 8*v + 3. Let x be i(7). Find the common denominator of (-1)\/(x\/(-8) - 22\/(-20)) and a.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-1*(-1176 + 5))\/1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -1 - (1 + -5) - 6\/2. Which is the closest to k? (a) -0.04 (b) 0 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 30bc (base 14) to base 4.\nAnswer: 2003032","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 38.7 + 2.3. Let w = 9 + s. Let c = w + -50.0000067. Round c to six decimal places.\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 48*r**4 + 333*r**3\/7 - 3*r**2\/7.\nAnswer: 3*r**2*(r + 1)*(112*r - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1269.6 - 1270. Which is the closest to 1\/8? (a) f (b) -1\/3 (c) -1 (d) -1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -641034600 divided by -12?\nAnswer: 53419550","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -4820, -4829, -4844, -4865, -4892, -4925?\n\"Answer: -3*u**2 - 4817","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1.98, -2\/13, 149610.\nAnswer: -1.98, -2\/13, 149610","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -145, -291, -437, -583, -729, -875?\nAnswer: -1021","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a day in seconds?\nAnswer: 21600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 678368\/40 + (-297)\/(-165)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -i - 3. Let w be s(0). Let h(j) = 77*j**3 - 32*j**2 + 9*j + 15. Let q(m) = 9*m**3 - 4*m**2 + m + 2. Let r(a) = -2*h(a) + 17*q(a). Determine r(w).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*q**3 + 3311803*q**2 + 13035*q - 238?\nAnswer: 18*q + 6623606","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: 45 - -5 - (-5 + 25 + -7)\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 154643 - -3658861364.\nAnswer: 3659016007","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2)\/(-63)*-21 + 8\/3. Factor 20\/9*t + 2\/9*t**d + 2.\nAnswer: 2*(t + 1)*(t + 9)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t - 2 = y - 3*y, -2*t + 5*y = 16. Solve 4 = -4*r + t*r for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = c**2 - 16*c + 29. Let g be v(14). Solve -g = -3*f + 4*f for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 584 minutes after 6:41 AM?\nAnswer: 4:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17756 is divided by 5910.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vox when three letters picked without replacement from vxfovnvvvsvxvvfon.\nAnswer: 2\/255","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 4*w - 1350 = 0, -2*r = -3*w + 1301 + 1379. Let i = r - -315. Let y = -771 + i. What is y rounded to the nearest one hundred?\nAnswer: -1800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3588, 7090, 10606, 14142, 17704, 21298?\nAnswer: 24930","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = -163 + 55. Calculate the remainder when 155 is divided by v.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*g + 11 + 5, o + 2*g = -8. Let j = -3 - 0. What is the second biggest value in o, -2, j?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = z**3 + 17*z**2 + 23*z + 23. Is b(-15) a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = h**3 - 2*h**2 + 2*h - 3. Let a be (-2)\/(-1)*1 - 0\/5. Let u be k(a). Calculate the remainder when (-3 + 48)*1\/u is divided by 24.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 61*i + 802. What is n(-13)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3747 is divided by 934.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 659156069?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -p**2 - 4*p + 4. Let x be s(-4). Let v(f) = 2*f - 6. Let k be v(x). Let l(g) = -6 + 3*g + g**2 + 4*g**k - 4*g**2 + 0*g**2. Determine l(-5).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -22112332121 - -10?\nAnswer: -22112332111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3356852 and 47.\nAnswer: 157772044","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6253140 divided by 17565.\nAnswer: -356","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 38691111913 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 58 divide 63278?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -9 + 69. What is the units digit of c?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 3, 1.7, -470, 0.2, 0.12?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a micrometer in nanometers?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -3 + (-2 - -2) + 5. Suppose z*a = -3*a + 20. Solve -3 = -a*f + 9 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 7\/28 - (-1 + (-83)\/4). Suppose -2 = r + 3. Let u = f + r. Is u a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c - 1128 - 287 = -3*w, w + 2*c - 465 = 0. List the prime factors of w.\nAnswer: 7, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 496 minutes after 11:42 AM?\nAnswer: 7:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25233 + 43898 + 36*r**2 + 6585.\nAnswer: 36*r**2 + 75716","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (702\/195)\/(-2 + 111\/60).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*j = 12*j. Let m(u) = -4 + 2*u + 3 + j - 5*u. Give m(-1).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 7.688905 kilometers?\nAnswer: 7688.905","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -602783, -1, 40, 3 in descending order.\nAnswer: 40, 3, 1, -1, -602783","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -12*k + 1919 + 73. What is the remainder when k is divided by 52?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - 6 = 0, -11 = -4*y - 0*y + a. What is the second smallest value in 4, -7, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4*(-4)\/(-12)*2*(-15)\/40.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 508 minutes before 3:20 PM?\nAnswer: 6:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) be the third derivative of s**5\/60 + 1789*s**2. Let n(v) = -29*v**3 + 5*v**2. Calculate n(b) - 5*q(b).\nAnswer: -29*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(272))**2 - sqrt(272))*-3 + 0 + sqrt(612)*-1.\nAnswer: -3264 + 6*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2831 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -3, 0, 13, 42, 93, 172, 285?\n\"Answer: t**3 - t**2 - t - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -2*h - 15. Let d(y) = -y - 3. Let w(r) = -c(r) + 6*d(r). Give w(-3).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ik when two letters picked without replacement from {y: 1, k: 1, n: 2, l: 2, w: 1, i: 8}.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2*25\/(-12) + (-3456856)\/(-778128).\nAnswer: 8\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -125*j + 3285. What is the remainder when (2\/3)\/(4\/474) is divided by y(26)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -110562 (base 7) to base 9\nAnswer: -28663","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 119567 and 219387.\nAnswer: 120882237","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 734 + 313. Let i = -560 + p. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m - 334*j + 24 = -331*j, 0 = -2*m - 4*j + 26 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 4.3 or 1\/35?\nAnswer: 4.3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -4*r**2 + 419*r - 3031. Give n(97).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.015 + 0.143. Let m = g + -0.638. Let t = m - -1.01. Which is the third biggest value? (a) -2\/17 (b) t (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor i**2\/4 - 401*i\/2 + 53217\/4.\nAnswer: (i - 729)*(i - 73)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -230*y - 37. Let v(g) = -701*g - 113. Determine 19*p(i) - 6*v(i).\nAnswer: -164*i - 25","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -26 (base 8) to base 7.\nAnswer: -31","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-3 - -3) + 0 + 1. Let n(z) = 7*z**2 - 2*z + 1. Let b be n(r). Let v be ((-32)\/b)\/((-2)\/3). Solve 0 = -2*q - 4 + v for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -4093795, -4093794, -4093793, -4093792?\n\"Answer: l - 4093796","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -753016 divided by -188254\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000254555537 rounded to five dps?\nAnswer: -0.00025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.02 + 0.62. Let n = -0.1 + j. Let m be (-2 + (9 + -6 - 3))*-2. Sort -1, m, n in increasing order.\nAnswer: -1, n, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -3*l - 8. Suppose -3*s = -8*s - 5. Let w(m) be the first derivative of m - 1. Let i(j) = s*r(j) - 6*w(j). What is the first derivative of i(a) wrt a?\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*t + 4*q - 28 = 0, q + 2 = -0*t - 2*t for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 8, y: 1, v: 6}. Give prob of sequence vv.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4345357?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6220800*v**3 + 49772160*v**2 + 138244*v\/3 + 32\/3.\nAnswer: 4*(v + 8)*(2160*v + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*p**2 - 6*p**5 - 2*p**2 + 0*p**2 + (p**4 - 3*p**4 + 0*p**4)*(2 - 2 + 2*p) + 2*p**5 - p**5 + p**5.\nAnswer: -8*p**5 - 2*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.7 times -232.86?\nAnswer: -395.862","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -46746*g**3 + 3*g**2 + 1177*g.\nAnswer: -280476","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 1 = -8. What is the first derivative of -3*p**3 + 4 - a + 3*p**3 - 4*p**4 wrt p?\nAnswer: -16*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1c84c (base 13) to base 7\nAnswer: -323155","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dqq when three letters picked without replacement from {s: 3, b: 1, q: 4, n: 1, d: 4, v: 1}?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 20930 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -42*s. Let y(b) = 7 + 332*b - 971*b + 332*b + 320*b. Let f(r) = 11*r + 6. Let a = 9 + -15. Let l(x) = a*y(x) + 7*f(x). Determine l(c(q)).\nAnswer: 42*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o - 4 = o. Let h = -2 - o. Let j(l) = 3*l**h + 7*l**2 + 2*l**2. Let r(m) = m**2. Determine r(j(w)).\nAnswer: 144*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b + 6*a = a + 81, 3*b + 2*a = 66. Is 2\/5*-4*(-660)\/b a multiple of 44?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 375.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + ((-2 + (4 + 1 + sqrt(17) - sqrt(272)*6))*-6)**2 + -4.\nAnswer: -4968*sqrt(17) + 324070","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:48 AM and 8:59 AM?\nAnswer: 191","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 11) to base 10\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 18*13\/(273\/(-28))*(-451)\/246?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 6\/26*4\/(-6). Sort -3\/2, 3\/5, r in descending order.\nAnswer: 3\/5, r, -3\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 34445460 divided by 1230195\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -57, 902, 3489, 8514, 16787, 29118?\nAnswer: 46317","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10010111010101011 - -101010011?\nAnswer: -10010110101011000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 3*m**2 - 5*m. Let h(o) be the third derivative of o**5\/15 - o**4\/4 + 4*o**2. What is 7*a(p) - 6*h(p)?\nAnswer: -3*p**2 + p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 39*t + 4. Let l be v(2). Suppose 97 - l = -3*u. Which is the third smallest value? (a) -1\/3 (b) 0.9 (c) 1\/10 (d) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.02285 rounded to 3 decimal places?\nAnswer: 0.023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -2*n**3 + 8*n**2 + n. Let k be y(4). Let h be k\/(-14) - (-10)\/35. Let a be (h - 6)\/(24\/16 + -3). Solve 3*v + a*i + 13 = 0, -i = -v + 2*i for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 2*o**3 - 39*o**2 + 2*o - 22. Let d be a(29). Suppose -5*y + d = -8620. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4 - 5. Let s = 12 + w. Let j(r) = 5*r + 5. Let p(t) = -6*t - 6. What is s*p(x) + 4*j(x)?\nAnswer: 2*x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 17*p - 15. Let v(r) = r**3 - 99*r**2 + 1457*r + 84. Let k be v(81). Calculate y(k).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 < -14\/8815?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 36 = 5*t + 2*h, -2*t = h + 12. Let r = 1 + t. Put r, 5, -5 in decreasing order.\nAnswer: 5, r, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1613424 and 128.\nAnswer: 12907392","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that 213*d**2 + 246*d + 33 = 0.\nAnswer: -1, -11\/71","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 147.5287 nanometers in centimeters?\nAnswer: 0.00001475287","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 356.2 - 355. Which is smaller: 2\/23 or c?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = n**2 + 3*n - 2. Let f(i) = i + 16. Let w be f(-19). Calculate b(w).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5 - -9. Let i = 0.2 - 1.2. Let g = f + i. Put 1, g, -0.2 in ascending order.\nAnswer: -0.2, 1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/(-10)*-3)\/(87\/290).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 times 8\nAnswer: 0.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 22.6 and -0.063835.\nAnswer: -1.442671","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 14*c**2 - 13*c**2 - 35.\nAnswer: c**2 - 34","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5613?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13838 divided by -814.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -3656910 to the nearest 100000.\nAnswer: -3700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1847500\/9 + 205492. Let b = -214 + u. Find x, given that 2\/9*x**3 + 4\/9*x**2 - b*x - 4\/9 = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1 + -47?\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -8 - 1 + y**2 - 2*y + 13. What is p(4)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s + 3*f - 194 = 0, 3*s + f - 125 + 7 = 0. What is the highest common factor of 20 and s?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 16.44233 centuries?\nAnswer: 164.4233","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 644851.9845 to the nearest 10.\nAnswer: 644850","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 83.20556t to nanograms.\nAnswer: 83205560000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 886, 5, 213, -5, -3, -6.\nAnswer: -6, -5, -3, -1, 5, 213, 886","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -335, -1483, -3421, -6155, -9691?\nAnswer: -14035","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 6*h - 4*c = -11, 5*c - 25 = 0. Suppose -5*q + 4*b = -0*q - 163, 0 = q + h*b - 25. Solve -4*t + q = 3*w, w - 19 = -t - 2*w for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -28 + 9 + (11 - 30) + 0 + 7 + -2.\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 25477766081 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000021368 to seven dps.\nAnswer: 0.0000021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11012111200 + -11?\nAnswer: 11012111112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2001122 + -100101121210?\nAnswer: -100022120011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -8 + 3 + 7*w + 2 + 11*w. Let x be l(1). Solve 6 = -f + 4*m + 1, x = -3*f - 4*m for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -6\/5*b**2 + 6\/5 - 9\/5*b.\nAnswer: -3*(b + 2)*(2*b - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 176\/110*(-35)\/(-4).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 - t)*(-2 + 9 - 2 + 2 + 1 - 1 + (4 - 2 - 3)*(-4 + 0 + 5) + 1 + 5 - 4).\nAnswer: -8*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2)\/(-7)*42\/18. Let u = -0.3 + -4.7. Which is the nearest to l? (a) 1 (b) u (c) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 2*i**3 - 837*i**2 + 1168*i + 34746. What is s(417)?\nAnswer: 135","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 7b41d - -138?\nAnswer: 7b556","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 5*x**3 - 3*x**2 - 4*x - 2. Let k be w(-3). Let z = 349 + k. What are the prime factors of z?\nAnswer: 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*i**2 + 73467800*i + 269875881842000 = 0. Calculate i.\nAnswer: -7346780","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 37906048 and 1720?\nAnswer: 344","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-214)\/(-17) + 23\/(138\/(-66)). Do y and 3 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 + 9 = w. Suppose -s - 5*g = w, 3 = 2*s - 4*g - 1. Let z = s - -6. List the prime factors of z.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2e (base 16) to base 10\nAnswer: -46","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) be the second derivative of -5*z**3\/6 - 4*z**2 + 117*z - 2. What is k(-6)?\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 57 by -1.\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 10972141 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 0.072, 0.3, -31?\nAnswer: 0.072","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 160788 is divided by 40194?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 366 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: Solve -14892 = 7641*m - 8079*m for m.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 29720?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d + o - 2 = 9, -4*d + 4*o = -28. Let u(z) = 68*z - 85. What are the prime factors of u(d)?\nAnswer: 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o + 0*h - 284 = -2*h, h = 2*o - 119. Let c = o + -53. Is c > 5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is d923c + 3?\nAnswer: d9241","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*r**3 - 3*r - r**3 - r**3 in the form m*r + j*r**2 + n*r**3 + t and give m.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 700 minutes after 3:11 AM?\nAnswer: 2:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3055 is divided by 23?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/(d*d*d**(-1\/2)*d))\/d**(-2\/7))\/((d*(d**1*d)\/d*d)\/d**(2\/5))*((d\/(d*d**(-1\/2)*d))\/d)**(-8)\/((d\/d**(2\/5))\/(d*d**(-3\/8))) assuming d is positive.\nAnswer: d**(2299\/280)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1003376 is divided by 13.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h - 21 = -5*i, 101*h + 35 = -i + 106*h for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ddvs when four letters picked without replacement from {v: 3, d: 4, n: 2, s: 2, p: 1}.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 28 - 14. Suppose -2*z + 2*u + w = 0, -2*z + u = -3*u - 22. Suppose -5*n + 0*q + 151 = 2*q, -97 = -z*n + 2*q. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4? (a) 2\/5 (b) 1 (c) -1\/2 (d) 73\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3876.484 - 3932. Round k to zero decimal places.\nAnswer: -56","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -h**3 + 3*h**2 - 16. Let t be (-20 - -8)\/(-36)*(1 - -14). What is r(t)?\nAnswer: -66","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*a - a**2 + 2 - 4*a)*(4 - 11 - 9) as c*a**2 + y + x*a and give c.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 261752519.4 rounded to the nearest one million?\nAnswer: 262000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) be the first derivative of f**4\/2 - 8*f**3\/3 + 5*f**2 - 4*f - 7. Determine o so that c(o) = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 57*r**3 - r**2 - 1. Let l(z) = 58*z**3 - z**2 - 1. Let k(b) = -4*l(b) + 3*n(b). What is the remainder when k(-1) is divided by 16?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -70*i**2 + 127*i**2 - 1468*i**3 + 10*i**2 - 67*i**2 + (-6 - 3 + 0)*(-3*i**3 + 0*i**3 + i**3).\nAnswer: -1450*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 433 (b) -6008 (c) -0.02 (d) -3 (e) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -273*g**3*q + 571*g**3 wrt q?\nAnswer: -273*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q = -3*w + 68, 2*q = 4*w + 3*q - 85. Suppose w*t - 1161 = 6798. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 83\/3984*1\/2*-27. Let y = -791\/480 - o. Find the common denominator of y and 35\/18.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 222 + -219. Let 63\/5*p**2 + 18\/5 - 12\/5*p**f - 87\/5*p = 0. Calculate p.\nAnswer: 1\/4, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1 - 0. Solve -u = -5*v + 4*v for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mqqq when four letters picked without replacement from {m: 4, q: 15}.\nAnswer: 455\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*(b*b**3\/b)\/b)\/(b\/b**(8\/11)) assuming b is positive.\nAnswer: b**(30\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 43963 is divided by 1748.\nAnswer: 263","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Calculate 52 + (-18 - (128 + -39)).\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -101 + 117. Which is greater: u or 0.06?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-1)\/b)**(-37)*(b\/b**(1\/3))\/b*b**(-1\/5) assuming b is positive.\nAnswer: b**(1102\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 2453 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.09885 plus 3?\nAnswer: 2.90115","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (-424)\/108 - 48\/(-12)\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 4*u**2 + 3*u - 6. Let t(n) = 3*n**2 + 4*n - 4. Let x(g) = -2*f(g) + 3*t(g). Let b(j) be the second derivative of j**3\/6 - 4*j. Determine b(x(a)).\nAnswer: a**2 + 6*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = j**2 - 10*j + 1. Suppose 0 = -8*m + 38 - 14. Suppose m*b - 2*w + 28 = 7*b, -5*b = -w - 42. Determine p(b).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -5 equal to -24165?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -8*o**3. Let i(s) = -s**3 + 3*s**2 + 3*s + 2. Let p be i(3). Let k(j) = 3*j**3. Give p*k(l) + 4*d(l).\nAnswer: l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 12*s + 242. Let b = -735 - -715. Let y be v(b). Factor 36\/7*h**y - 44\/7*h + 16\/7 - 4\/7*h**4 - 4\/7*h**3.\nAnswer: -4*(h - 1)**3*(h + 4)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2.16 in 0.2, 0.17, -1?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 3*r + 9 = 14, -2*x = -5*r - 1. Suppose 113 = -5*v - 112. Let w be 1\/(x + v\/(-20)). Sort 4\/3, w, 5 in decreasing order.\nAnswer: 5, w, 4\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1211119*214.\nAnswer: 259179466","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 0*n = 0, 5*l - 3*n = 0. Solve -5*w - 10 = -l*w for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 12874 - 7970. Round h to the nearest one thousand.\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 - 0 - (21 + (12 + 10 - 34))\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -81\/7, -0.11, -13\/10 in ascending order.\nAnswer: -81\/7, -13\/10, -0.11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 623 + (4\/(-7))\/(54\/(-189)). Let l = 4377\/7 - i. Let m = 2 - 2. Sort m, -0.4, l, 1\/4 in descending order.\nAnswer: l, 1\/4, m, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 157\/1806 and -47\/3942.\nAnswer: 1186542","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 83*b - 69*b + 42*b.\nAnswer: 56*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -m**2 - 3*m + 1. Let o be d(-2). Suppose j + 0 = o. Solve s + 2 = -j for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5 - 27 + 506*z + 22 to the form b + a*z and give a.\nAnswer: 506","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -20 (b) 3 (c) -0.02 (d) -0.00925\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -j + 13. Suppose 3*a - 3*l = 5*a - 14, -l = -a + 7. What is the remainder when 89 is divided by k(a)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 11577 + -11714.6. Round g to the nearest one hundred.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*k + k = 10. Let c(w) = -4*w**2 - 2*w. Let h be c(k). Let y be 8\/30 + h\/(-30). Is 0 <= y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + ((-3*sqrt(200) + sqrt(200))\/sqrt(8))\/(sqrt(5) + (-3*sqrt(605) - sqrt(605))) + 4.\nAnswer: 2*sqrt(5)\/43 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -y**2 + 6*y + 14. Let a be u(7). Suppose a*z = 5*z. Let t(s) = 3*s + 84. What is the units digit of t(z)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in twenty-one quarters of a year?\nAnswer: 63","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*l = 13*l - 51. Let x be (-17)\/(l\/6) + (-1 - -1). Suppose 4 = -z + 3*z. Solve 3 = z*q - o, 5*q + x*o - 45 = o for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(-4 + sqrt(171) + -1 + (sqrt(171)*1 - sqrt(171))*-5 - (1*(1 + sqrt(171)) + sqrt(171) + -5))**2*3 + -3.\nAnswer: 18*sqrt(19) + 513","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 2\/7, -0.0679, 5661, 3?\nAnswer: -0.0679","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/4, 1\/23637, 4\/5 in decreasing order.\nAnswer: 4\/5, 1\/23637, -3\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 391 minutes before 5:36 AM?\nAnswer: 11:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Do -15515 and -15511 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*v**2 + 0*v**2 + 2*v**3)*(3560 + 72*v - 3560) to the form z*v**2 + u*v**3 + b*v + m + g*v**4 and give g.\nAnswer: 144","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 45*q**4 + 1050*q**3 + 5765*q**2 - 4200*q + 720 = 0.\nAnswer: -12, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-8)\/6 + 1)*-81. Let j = d + -25. Put j, 0, 2\/5 in descending order.\nAnswer: j, 2\/5, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*s + s + 43 + 9*s - 4*s in the form g*s + h and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 102 - (7 + 145 + 19)?\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 3*a**2 + a + 6. Let b be o(-3). Suppose 82 = 4*w - b. Let j = 32 - w. Solve g + 0*g - 5*k + 6 = 0, j*g - 5*k - 6 = 0 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 20778548 - 13259248. Round u to the nearest one hundred thousand.\nAnswer: 7500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 v when two letters picked without replacement from vvvvppvvpvvvvvvpvpvv.\nAnswer: 21\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = -4*y + 287 - 8, 6*y - 2*g - 408 = 0. Calculate the remainder when y is divided by 16.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is m in -m**2\/5 - 3497148*m\/5 + 1398860 = 0?\nAnswer: -3497150, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -2*k**3 + 46*k**2 - 9*k + 8. Let u(b) = 3*b**3 - 46*b**2 + 12*b - 10. Determine -5*t(z) - 4*u(z).\nAnswer: -2*z**3 - 46*z**2 - 3*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is g in -2*g**2 + 174784*g - 1048632 = 0?\nAnswer: 6, 87386","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-6)\/(-2) - (-2265)\/(-297). Let o = a + 4849\/1089. Let r = o - 12085\/2178. Calculate the common denominator of r and -101\/8.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 95\/(-3)*(-2148)\/3580\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -163*h + 18*h = -294060. List the prime factors of h.\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -5*r + 29. Let -1\/4*b**4 - 2*b**3 - 6*b**2 - r - 8*b = 0. What is b?\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4602, 4, 7, -2, -4 in ascending order.\nAnswer: -4, -2, 4, 7, 4602","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 21 + -50 + 24 + -7 + -1 + 2\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -8231 + 8238. Let r(t) = 8*t - 10. Give r(s).\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:56 PM and 10:47 PM?\nAnswer: 51","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand m + 1 - 1 + (2 - 2 - 1)*(-2*m + 0*m + 0*m) + 1 + 2*m - 1 + (-2*m - m + m)*(1 + 2 - 5).\nAnswer: 9*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.09, 0, -10, -189, -0.027 in ascending order.\nAnswer: -189, -10, -0.027, 0, 0.09","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -166*k**2 - 97*k + 2 wrt k?\nAnswer: -332","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -n**2 + 121*n + 4045. Determine m(-27).\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1 (b) 0.5 (c) 4 (d) -1.2 (e) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 839284 to the power of 1\/2, to the nearest integer?\nAnswer: 916","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.05703 to 3 decimal places.\nAnswer: 0.057","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 3*v. Let p(y) = 2075*y**2 + 6*y + 642. Calculate p(m(x)).\nAnswer: 18675*x**2 + 18*x + 642","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 7*v**2 - 4*v - 77. Is x(-8) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1613341?\nAnswer: 1129, 1429","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide -79213308 by -27476.\nAnswer: 2883","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 847805 is divided by 1513.\nAnswer: 525","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a litre in millilitres?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*f**4 - 4*f**4 + f**2 - 3*f**2 - 6*f**3 + 0*f**2 as q*f**4 + d + p*f**3 + m*f**2 + l*f and give p.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 174590.44 rounded to the nearest 1000?\nAnswer: 175000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*o - o + 4*o + 3)*(26 + 58 + 39) to z*o + u and give z.\nAnswer: 123","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) be the third derivative of -d**8\/1680 - 2*d**7\/105 - 33*d**6\/200 - 22*d**5\/75 + 26*d**4\/15 - 6*d**2 - 142*d - 2. Solve h(c) = 0.\nAnswer: -13, -4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1325857?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 2*h. Let y(j) = 201593943*j. Determine u(y(r)).\nAnswer: 403187886*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9 + 0*l + 5*l - l - 3*l.\nAnswer: l - 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*a**3*n*s**3 - 2*a**3*s - a*n*s**3 - 10*a*n*s + n*s**3 - n*s**2 - 2*s**2 wrt s.\nAnswer: -12*a**3*n - 6*a*n + 6*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -4*v - 1. Suppose -252 - 183 = -5*r + 3*g, -v*r = 2*g - 190. Suppose 5*o = 2*o + r. Is 15 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b - 4*d = 5, b - 4*d - 27 + 4 = 0. Suppose -1434 = b*a - 6*a. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 110, -23, 33 in increasing order.\nAnswer: -23, 3, 33, 110","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -3419, 5, -4, 8, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 59 = -4*d - 7, 0 = -5*d - 2*n + 62. Calculate the highest common factor of d and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1\/((-2)\/(-54)) + -2. Suppose -64 = -5*p - 27*n + 25*n, 2*p + n - u = 0. Calculate the remainder when 93 is divided by p.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.511803kg in milligrams?\nAnswer: 4511803","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 168606.\nAnswer: 2, 3, 17, 19, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 444 + -440. Suppose -f*b = -27569 + 10029. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -60746088*t*w**3 + 20568*t*w**2 - 52*t wrt w.\nAnswer: -364476528*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -4*x - 5. Let s(n) = -4*n**3 + 3*n**2 - 4*n + 2. Let g be s(2). Let y = g - -22. Calculate p(y).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -477994.54 to the nearest 100.\nAnswer: -478000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2012.6 + 2013. Let l be -1 + -2 + (-14)\/(-4). Let n be ((-4)\/10)\/(0 + 7\/5). What is the nearest to n in x, l, 2\/3?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/(h*h\/(h\/(h*(h\/(h**21\/h)*h)\/h*h))))\/h)\/(h**7*h) assuming h is positive.\nAnswer: h**8","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -i**2 + 2*i + 11. Calculate w(-2).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4587207.6999916 + 4587285.7. Let m = -78 + l. What is m rounded to six dps?\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1967*o + 72*o - 776*o + 109511 = 0 for o.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000177 rounded to four decimal places?\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*d + 7*d + 4*d - 13*d - 1 to c*d + j and give j.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -16*s**2 + 14*s - 2. Let a(m) = 1. Let z(j) = 4*a(j) + 2*x(j). Find the second derivative of z(w) wrt w.\nAnswer: -64","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 9\/8 and 11\/255.\nAnswer: 2040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -b**2 + 5*b + 8. Let i be r(5). Let n(u) = 10*u + 0*u - i*u. Let x(m) = 296*m. What is x(n(t))?\nAnswer: 592*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-8)\/6)\/(20\/(-15)). Let r = 0 + w. What is the tens digit of r\/(-3)*(-238 - 8)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -19.9 + 20.3. Which is the nearest to 2? (a) 4 (b) m (c) 0.04\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11087355427 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) be the third derivative of 3*t**6\/20 + t**5\/15 - t**4\/12 - t**3\/6 + 26*t**2. Let c be q(2). Suppose -4*h + 739 = c. What is the tens digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 2330 = -4*s - s, -5*i + 2*s = -2324. Suppose 3*n - 2*r - i = 0, -2*n - 4*r - r + 341 = 0. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 36296464?\nAnswer: 2, 61, 37189","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 94 - 99 - (3 - 11) - -40?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (63\/(-28))\/((10\/8)\/5)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -6\/17 - 175\/34. Find the common denominator of 2 - (6 + -8 + 58\/10) and o.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.09032092925 + -52\nAnswer: -51.90967907075","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 5, -0.29, 1\/7 in decreasing order.\nAnswer: 5, 1\/7, -0.29, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 624 + -627.07. Let o = -0.07 - v. Which is the second biggest value? (a) -0.3 (b) 4 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:24 AM and 1:27 PM?\nAnswer: 663","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (-112)\/70*(-2)\/4*10\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 3*a**2 - a + 2. Let k be s(0). Solve k*l = 7 - 9 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) be the third derivative of d**6\/120 + 2*d**5\/15 - d**4\/3 + 3*d**3\/2 + 2*d**2 + 11. Give z(-9).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -r + 65 - 36 - 29. Let k(l) = 4*l + 1. Let t = -5 - -10. Let x(z) = t*j(z) + k(z). What is x(0)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4569484?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = 5*b - 53, 4*n - 7 - 18 = -3*b. Suppose 105 + 456 = b*c. Is c a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*j**4\/13 + 32*j**3\/13 - 72*j**2\/13.\nAnswer: 2*j**2*(j - 2)*(j + 18)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.01920722 to three dps.\nAnswer: -0.019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 3*i + 12 = 0. Let m be -1 + i - (2 - 2). Suppose -m*u = 3*u. Solve 4 = -3*z - u*b + 2*b, 0 = 3*z + 4*b + 10 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -98*d**5 + 2*d - 76 wrt d.\nAnswer: -1960*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -4*q. Let d = -7 + 0. Let c be d*(-2 + 3 - 0). Let t(g) = g. What is c*t(f) - 2*l(f)?\nAnswer: f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 860, 1584, -2\/105?\nAnswer: 1584","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yj when two letters picked without replacement from yypqyyzyyjyyqyjy?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1514 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1241 a factor of 16678992?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = v**2 + 3*v - 7. Let l be a(-6). Suppose 2*m + 4*r + 5 = l, -m + 4 = r. Solve 5*x - m*c - 30 = 0, -4*x + 5*c + 22 = -6 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -7840 + 7838. Sort j, 20, 1\/4, 2, 0.1 in ascending order.\nAnswer: j, 0.1, 1\/4, 2, 20","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -2 (b) -3\/8 (c) -0.5 (d) -29 (e) 0.9 (f) -1.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (115\/(-69)*(-3)\/15)\/((-23)\/((-3864)\/(-80)))?\nAnswer: -7\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 289*r = -33*r - 54*r + 1128 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1\/(-15)*6\/(-9). Which is smaller: b or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 105 = -88*b + 17 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 8\/14244807 and 10\/303081.\nAnswer: 14244807","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2671743?\nAnswer: 3, 229, 3889","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (44 - 8*l - 44)*(0 - 3 + 6)*(-3 + 6*l + 3).\nAnswer: -144*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2 + 46457?\nAnswer: 46455","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -3 + 9 + -16 + 8\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) be the third derivative of -y**5\/240 - 31*y**4\/12 - 247*y**3\/24 - 1201*y**2. Solve s(z) = 0 for z.\nAnswer: -247, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -7001775*w + 79704. Let u(t) = -11070*t + 126. Calculate 7*s(v) - 4428*u(v).\nAnswer: 5535*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.02689949612 to 4 dps.\nAnswer: -0.0269","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = u**2 + 8*u + 13. Suppose -5*p = 30*p + 245. Let g be b(p). Solve 7*h - 9*h = -g for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.079 - -26.921. Let a = q - -76. Let y = a + -99. Put 0.3, y, -0.2, -3 in decreasing order.\nAnswer: y, 0.3, -0.2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 528 and 864?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11770147 divided by 3.\nAnswer: 11770147\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -746, -1491, -2236?\nAnswer: -2981","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 94045, 94047, 94049, 94051, 94053, 94055?\nAnswer: 94057","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -16117, -24770, -33437, -42124, -50837, -59582, -68365?\nAnswer: -77192","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = y**3 + 13*y**2 + y + 19. Suppose -5*p + 4*t = 57, -2*t - 32 = 2*p + t. Calculate the remainder when 1\/(-2)*(-35 + 1) is divided by o(p).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -x**2 - 6*x + 1. Suppose 4*k - 16 = 2*k + 2*b, k + 12 = -4*b. Determine s(k).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 0 + (-7 - -2) - -1. Let a(y) = -y**2 - 6*y - 1. Give a(v).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 25 and 8?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000489124867 rounded to six decimal places?\nAnswer: 0.000489","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -192, 3, -1, -5, -2 in increasing order.\nAnswer: -192, -5, -2, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.1 or 37.2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3907 divided by 6.\nAnswer: -3907\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/(-1)*(352 - 345)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = 3*k + 3*p, 8*p - 3*p - 27 = -4*k. What are the prime factors of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -20\/279 and 53\/1023.\nAnswer: 3069","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -13, -5, -4939 in decreasing order.\nAnswer: -1, -5, -13, -4939","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -26 + 26. Suppose 9*q - 8*q = v. Suppose g - r = 2 - q, -r - 8 = 2*g. Let l(f) = f**2 + f - 7. Let y(a) = -3. What is g*l(w) + 5*y(w)?\nAnswer: -2*w**2 - 2*w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 24548 + (-92)\/(-368) + 10\/(-8) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 18 = 5*x + 3, 3*d = -4*x + 12. What is the derivative of 2 - 5*h**3 + d + 4*h**3 + 7*h**3 wrt h?\nAnswer: 18*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 42677.41ml?\nAnswer: 42.67741","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*o - o**2 + 250059*o**3 + 118 - 250056*o**3 + 5*o in the form v*o + d*o**2 + f*o**3 + s and give s.\nAnswer: 118","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1691*o**5*p**3 + 3*o**5*p - 2*o**2*p + 3*o*p**3 + 10*p**3 - 872 wrt o.\nAnswer: -101460*o**2*p**3 + 180*o**2*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -d*i**2 + 11*d*i - 48848*d - 196092*i**2 + 2*i + 121 wrt i?\nAnswer: -2*d*i + 11*d - 392184*i + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 147 is divided by 32?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -3*y**2. Let k = -19 - -31. Let q(n) = 0*n + k*n - 2*n - 9*n. What is q(g(u))?\nAnswer: -3*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*k**3 - 27 + 16 + k**3 to the form x*k**2 + y*k**3 + p + b*k and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.14 (b) 2 (c) -25\/68\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 3, -1991, 0, -1099, 2 in decreasing order.\nAnswer: 3, 2, 0, -1, -1099, -1991","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -480 - 1?\nAnswer: -481","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1599 = 35*d + 52*d + 36*d. Calculate the greatest common divisor of 8203 and d.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 15, 0, 45, 1, 2 in decreasing order.\nAnswer: 45, 15, 4, 2, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 20*u**3 - 2*u**2 + 3*u - 2. Calculate y(1).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -227 divided by -2388?\nAnswer: 227\/2388","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 3*z**2 + 13*z + 2. Let g(u) = 2*u**2 + 7*u + 1. Let s(i) = 4*c(i) - 7*g(i). Let o = -1 - -4. What is s(o)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -18.7 - -18. Let l = 0.9 + r. Let s = -2123\/12 + 177. Which is the nearest to l? (a) s (b) -2 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -140, -168, -194, -218?\n\"Answer: y**2 - 31*y - 110","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 6\/23 < -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5876, 8324, 10894, 13646, 16640, 19936, 23594?\nAnswer: 27674","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) be the first derivative of 39 - 13908*g**3 + 63*g + 23*g**4 + 13908*g**3 - g**2. What is the second derivative of p(k) wrt k?\nAnswer: 552*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5*(-48)\/3080*-14?\nAnswer: -12\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 6? (a) 3 (b) 12.9 (c) 1.6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + -6*(-1 + sqrt(99))**2 + -4*(sqrt(99) + 0 + sqrt(99))**2 + (sqrt(88) + (-1*sqrt(88)*-5 - sqrt(88)))\/(sqrt(24)\/sqrt(3)*3) + 3.\nAnswer: -2179 + 113*sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 52 is divided by 33\/(-6)*4\/(-2)*1?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4.89 - 0.11. Let s = 7 + n. Let l = -5612 + 5617. What is the nearest to -1 in l, s, -0.05?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = k**3 - 2*k**2 - 4*k - 2. Determine m(4).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 71137224?\nAnswer: 2, 3, 61, 5399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/(-18)*(-24)\/(-2)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 - 2 + 6 + (4 - 4 - 2)*(-2 - 1 + 4) - 4 + 3 + 2)*(8 - 9 - 7)*(l + 2*l + 0*l) to a + m*l and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1.63, -5, 4, -0.2, -1\/19, 4\/7 in increasing order.\nAnswer: -5, -1.63, -0.2, -1\/19, 4\/7, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-14)\/(-24))\/(532\/12768)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -7 + -1 + (10 - (0 + 2))\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 21*s - 83. Let u be f(4). Let p(d) = -d**2 + 4*d - 3. Let j(i) = i**2 + i + 1. Calculate u*p(q) + 3*j(q).\nAnswer: 2*q**2 + 7*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - 5 = 3*d. Let k = -33.3 + 34. Which is smaller: d or k?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (29 + -2)\/(54 + -4). Let q = s + -2047\/550. Calculate the common denominator of q and 7\/11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -604*o - 1100*o - 3880*o + 720*o - 2833*o in the form t + n*o and give n.\nAnswer: -7697","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 9*y**3 - 18. Let c be 16 + 4*1\/4. Let a(n) = 26*n**3 - 53. Let o(m) = c*j(m) - 6*a(m). Find the first derivative of o(q) wrt q.\nAnswer: -9*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1003 - 21143412?\nAnswer: -21142404","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3*g - 3)*(-4*g**2 + 21*g**4 - 22*g**4 - 9*g**2).\nAnswer: 3*g**5 + 39*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 + -5 + 9 + -9.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/2, -5\/2, 0.1, 0.1222, 0 in ascending order.\nAnswer: -5\/2, 0, 0.1, 0.1222, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*r**5\/3 + 2086*r**4\/3 - 44072*r**3\/3 + 201874*r**2\/3 + 135292*r\/3 - 112736\/3 = 0. What is r?\nAnswer: -542, -1, 1\/2, 8, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p - 7 = 2*j - 2, -p - 4*j - 1 = 0. Sort p, 1, 262 in decreasing order.\nAnswer: 262, 1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2 - -2. Let g = 159 + -158.9. What is the nearest to g in -4, c, -2?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -3 - 5*y - 13*y + 0. Let r be i(-2). Suppose 6*m - r = 3*m. What are the prime factors of m?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 + (-91588)\/(-68) + (-8)\/(-68) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 157212011 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -39 = 5*m - 18*m for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a = 5*k - 19, 3*k - 4*a - 23 = -10. Suppose -k*b + 264 = b. Let r = -33 + b. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -4 and 679538269293.\nAnswer: 679538269289","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-105)\/((1 - (-4 + 4))\/23). Which is bigger: -2416 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 1 f when two letters picked without replacement from {z: 1, j: 2, f: 2, a: 1, o: 1}.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*s**2 - 2*s**2 + 0*s**2)*(0*s**3 + 2*s**3 + 0*s**3) + s**5 + s**5 + 0*s**5.\nAnswer: 8*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 6.4 - 1.4. What is the third smallest value in v, -21, -0.4?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = p**3 - 4*p**2 + 2. Let f be v(4). Suppose -204 = 5*i - 4*r, -8*i - 2*r - 52 = -7*i. Let w = i - -47. Put 0, w, f, -2 in increasing order.\nAnswer: -2, 0, f, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10805 is divided by 29?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1)\/(-3)*0\/(4 - 6). Let k = 55\/3 - 211\/12. Is m bigger than k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:19 PM and 9:53 PM?\nAnswer: 454","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oioiiiijijii. What is prob of sequence oj?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1134 and 5126814.\nAnswer: 5126814","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -17900296, -17900286, -17900274, -17900260, -17900244, -17900226, -17900206?\nAnswer: -17900184","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -87091 less than -87042?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 270 = -5*d, 15*d - 12*d = 2*t - 136. Let o be (-1)\/(-3) - (-231)\/9. Calculate the highest common factor of t and o.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0036826802 to five decimal places.\nAnswer: -0.00368","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 59958415343 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -43*b - 74. Calculate the remainder when c(-4) is divided by 34.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 280394537.\nAnswer: 127, 2207831","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 525 divided by -175.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 0, -3443, 4, 7, 3 in increasing order.\nAnswer: -3443, -4, 0, 3, 4, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) be the second derivative of 13*w**4\/12 - 4*w**3\/3 + 4*w**2 - 2*w - 1. Let v be c(1). Solve 5*r - 3*p - v = -35, 2*r - 3*p = -16 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -40 - -44. Let y(z) = -6*z**2 - 80*z + m*z**2 + 69*z. Let r(h) = -h**2. Determine r(y(i)).\nAnswer: -4*i**4 - 44*i**3 - 121*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 5*f - 8, 3*f = -r + 16. Suppose 5 = 2*n - r. What is the remainder when 21 is divided by n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10010211 - 11220100?\nAnswer: -1202112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 52444, 104796, 157148?\n\"Answer: 52352*f + 92","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2368.\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -5929*x**2 - x + 34943.\nAnswer: -11858*x - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 110*y + 46*y = 1970 + 5362 for y.\nAnswer: 47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 265*l + 296*l = -184*l + 3725 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 606493 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 96 minutes before 8:49 PM?\nAnswer: 7:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by -85437453.\nAnswer: 1\/85437453","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(-1\/4)\/n)\/n*n*n)\/n*n*((n\/(n**(-2\/13)\/n))\/n)\/n*n*(n\/(((n\/(n*n**(2\/5)))\/n)\/n*n*n)*n)**(1\/2) assuming n is positive.\nAnswer: n**(547\/260)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.57442618 rounded to one dp?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) be the second derivative of 3*z**5\/20 + 3*z**4\/4 + z**3 - z. What is x in y(x) = 0?\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 866, 3, 47607, -5 in ascending order.\nAnswer: -5, 2, 3, 866, 47607","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1182311ug in milligrams?\nAnswer: 0.0001182311","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r when two letters picked without replacement from rforrrfrrrrfffrrr.\nAnswer: 55\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from obosbsooobosbnb. Give prob of sequence obs.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:42 AM and 8:14 AM?\nAnswer: 332","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Add 1 and -29801785.8447.\nAnswer: -29801784.8447","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16\/8 - (-8)\/(-5).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-36)\/33)\/((-4)\/22).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + (22 - (17 - 11)).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 2*a**3 - 34*a**2 - 150*a - 484. What is t(21)?\nAnswer: -106","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 11320978 to the power of 1\/2, to the nearest integer?\nAnswer: 3365","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4459 + 3149. What is the common denominator of -4\/7 and a\/1088 - 2\/17?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 4*b - 4*m = 3, 5*b + 23 = m. Let s = 0.004 - 7.004. Let v = -7.2 - s. Sort b, v, -3\/2 in descending order.\nAnswer: v, -3\/2, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-3)\/(-6)*(5765 + 90\/10)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = 5*s - 4502, 3*s - 5*s = y - 1801. Let f = s + -287. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 157743 and 801.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**17*f*f\/(f*f*f\/(f*f**(1\/7)*f))*f assuming f is positive.\nAnswer: f**(134\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 125263147 to the power of 1\/2, to the nearest integer?\nAnswer: 11192","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:37 AM and 4:09 PM?\nAnswer: 332","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = j**3 + j**2 - j - 2. Let w(k) = 192*k**3 - 2*k**2 + 2*k + 101. Let y(q) = -4*g(q) - 2*w(q). What is the derivative of y(p) wrt p?\nAnswer: -1164*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bntjjbjbnn. Give prob of sequence ntbj.\nAnswer: 3\/560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 208654?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 131*x - 145 = 49*x + 19. Solve 2*o = x*i + 2, -5*o = 2*i - 161 + 135 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e, 1 f, and 1 n when three letters picked without replacement from ibfnkneeeni.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1251.8534 rounded to the nearest integer?\nAnswer: 1252","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -1024*s**3 + 65*s**2 - 4*s - 16. Is w(-5) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*w**4 + 0*w + w**2 - 4*w**3 + 2*w**4 - w**3 + 2*w as h*w + l*w**3 + k*w**4 + o*w**2 + f and give l.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1306984 rounded to four decimal places?\nAnswer: 0.1307","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 66413, 66285, 66067, 65753, 65337?\n\"Answer: -f**3 - 39*f**2 - 4*f + 66457","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve p - 3*a = -7, p + 3*a = 7 + 10 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -1*3*(-5 - -4). Let k be (-2)\/8 - (-1)\/4. Suppose u*j + k*j = 9. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -0.01 (b) 3 (c) -4 (d) 1 (e) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in s - 90174 + 90174.\nAnswer: s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 5544?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/3, -857, -279, -0.3 in descending order.\nAnswer: -0.3, -1\/3, -279, -857","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.3 + 0.2. Let p = -4 - -4.8. Let x = -0.4 + p. Put m, x, 2 in ascending order.\nAnswer: m, x, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}