{"text":"Question: Calculate the common denominator of -38\/7161 and -8\/1243.\nAnswer: 809193","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.18, 5, 4.2, -2\/10619.\nAnswer: -2\/10619, 0.18, 4.2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Express (-2 - 2 + 5)*(-1 + 0 + 7*s - 3*s) as r*s + c and give r.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1, -5, -7 in increasing order.\nAnswer: -7, -5, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*n + 4*a - 64 = 188, -a = -n + 57. Let s be 6\/2 + n\/(-9). Let v = s + 3. What is the third smallest value in 0, -1\/4, v?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 12598 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -919645*c + 181195*c - 980579*c + 287776*c.\nAnswer: -1431253*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -7.6348 + 1.46.\nAnswer: -6.1748","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6 = n + 5. Put -5, n, -4, -2 in decreasing order.\nAnswer: n, -2, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.9504928 * 4.\nAnswer: -3.8019712","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"}
{"text":"Question: What is (-2)\/(-14*(-168)\/147)?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 6*t = -3*t + 27 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:22 PM and 1:17 AM?\nAnswer: 115","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*v - f + 35 = -6*f, 44 = 4*v + 4*f. Let a(h) = -h**3 + h + 5. Let n be a(0). Suppose 8 = 2*q - 8. Solve v = n*k - q*k for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2198300 a multiple of 95?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 99.07 - 0.5?\nAnswer: 98.57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-1)\/(4\/(-3)*(-1)\/(-4)). Let s = 3 + g. Find the second derivative of s*k**5 + 94*k - 121*k - k**5 wrt k.\nAnswer: 100*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-3*b**2 + 3*b**2 + 2*b**2)*(-3*b**2 - 17*b**2 - 1 + 51*b**2) in the form p*b**3 + l*b**4 + y*b**2 + n*b + q and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-974)\/12 - 30\/(-180). Let i = -92 - w. Which is the nearest to -1?  (a) i  (b) -3  (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 156 minutes before 12:06 PM?\nAnswer: 9:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 z when three letters picked without replacement from {z: 8, h: 5}?\nAnswer: 28\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-1)\/((20\/4)\/(-10)). Suppose -g*o - 3*o = 4*a - 109, 5*a = -2*o + 149. What are the prime factors of a?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 14917 and 917.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -42*z - 4 = -38*z for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0000036347 rounded to 7 decimal places?\nAnswer: 0.0000036","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 1\/(33\/15 + -2). Let n be 10 + (0\/3)\/3. Calculate the highest common factor of n and o.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(v) = 8*v. Let i be h(1). Let w = 0.07 - 0.095. Let q = w + -0.075. Which is smaller: q or i?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 48*x + 17100 = 980*x - 32*x for x.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is -6832 (base 9) in base 8?\nAnswer: -11673","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*i - 4*i + 8. Let t = -7 + 3. Let n = t + 5. Sort -3, n, i in descending order.\nAnswer: i, n, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*v + 1016 - 184 = 0. What is the lowest common multiple of 1 and v?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:14 AM and 8:26 PM?\nAnswer: 612","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let i(x) = -x. Let p(a) = 56*a - 49. Let f(s) = 7*s - 6. Let d(o) = 49*f(o) - 6*p(o). Determine i(d(h)).\nAnswer: -7*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:01 PM and 1:00 AM?\nAnswer: 359","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: -1 - -30 - ((-10 - 73) + 71)\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -59\/3 - -175\/9. Let r be 2*(-69)\/48 - 24\/(-8). Sort 2, z, r in ascending order.\nAnswer: z, r, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -29 + 34. Suppose -q = 4*g - n*q - 536, 0 = -2*g + q + 265. Suppose 0 = 5*d - v - g, 4 - 15 = -d + 4*v. Is d a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-2)\/11*((-120)\/130 + 2\/(-26)). Let q = -16 - 3. Let u = 0.8 + -0.4. Which is the closest to q?  (a) h  (b) -2\/17  (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence qdgq when four letters picked without replacement from {q: 2, g: 1, d: 1, o: 4}.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is three eighths of a millimeter in micrometers?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Product of -0.4 and 0.09653.\nAnswer: -0.038612","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 252 + -91. Let s(q) = -q**3 - q**2 + 4*q + 4. Let o be s(-2). Suppose o = -5*v + 114 + u. Is v a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4 - 3 - 3)*(o + o - 3*o) - 4*o - 2*o + 5*o + (0 + 3 - 2)*(-o + 0 + 0) + 0*o + o - 3*o.\nAnswer: -2*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Expand -8 + 3*s - 4 - 2*s + (0 + 2 - 1)*(0*s - 3*s + 4*s).\nAnswer: 2*s - 12","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let z(w) = -w. Suppose -4 = -3*n - n. Let q be z(n). Let p be ((-1 - -1) + -1)\/q. Which is the second biggest value?  (a) p  (b) -3\/4  (c) -3\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find b such that 2*b**2\/5 + 1932476*b\/5 = 0.\nAnswer: -966238, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3*-4*((4*(sqrt(5) + (sqrt(5) + -2 - sqrt(5))) + sqrt(5) - sqrt(5)) + 2 + sqrt(25)\/sqrt(5))*-6.\nAnswer: -360*sqrt(5) + 432","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let o(k) = k**3 + k**2 - 2*k. Let v(x) = 2*x - 5. Suppose t = -2*n - 9, 19 - 6 = 3*t - 2*n. Let s be v(t). Give o(s).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {y: 6, p: 4, m: 2, x: 1, v: 1, h: 4}. Give prob of sequence hyv.\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -26?  (a) -3  (b) -5  (c) -0.2  (d) 1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 295 - h**4 + 22*h + 11*h**3 - 25*h - 300 + 2*h**2 to j*h**3 + c + s*h + p*h**4 + l*h**2 and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -221 + 220.948. Round y to 2 dps.\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -822*w = -827*w + 770. What is the greatest common divisor of 1134 and w?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 868\/73 smaller than -1\/162?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {n: 2, d: 2, p: 5}. Give prob of sequence nn.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 1783673110?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:56 PM and 2:30 AM?\nAnswer: 154","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 1006.9722 rounded to one decimal place?\nAnswer: 1007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -4 - -9. Let r(z) = -3*z**2 + o*z**2 + 2*z**2 - 3*z**2. Let a(p) = -4*p. What is r(a(t))?\nAnswer: 16*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from kbhbbhnhkhbbkbfkob. What is prob of picking 1 k, 1 b, and 1 o?\nAnswer: 7\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 11684 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 55591945289 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 3678 + -1399. What is the thousands digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2*i**3 + 15*i**2 + 4*i**3 + 11*i**2.\nAnswer: 2*i**3 + 26*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -t + 26 = -52. Suppose -t = 6*p - 8*p. Suppose p = 10*x - 7*x. What is the remainder when x is divided by 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 10807 is divided by 10615?\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-2499)\/(-4)*(15 - 11). Let y be 1 - -2 - z\/900. Let r = y - -2\/75. Which is the closest to -3?  (a) -2\/9  (b) r  (c) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -40, 3, 19081, 0, 4\/3.\nAnswer: -40, 0, 4\/3, 3, 19081","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: 4.4 * 0.01\nAnswer: 0.044","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 42 and 5376?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 17833589?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let o(n) = -2*n**2 - 5*n + 27. Calculate o(-7).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of ((-1176)\/(-20))\/(16\/40).\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify k**(-7)*k\/(k\/k**(-4))*(k\/(k*k*k**1))**(2\/3)*(k**(-8)\/(k**8\/k))\/(k**(-2))**(-1\/3) assuming k is positive.\nAnswer: k**(-28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Express 2*t - 9*t**3 + 2*t**2 - 16*t**3 - 17*t**3 + 2 + 0*t + 43*t**3 - 20*t**4 in the form n*t**3 + c + w*t**4 + x*t + k*t**2 and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((k\/k**7)\/(k**(-2\/21)\/k))**(-2\/67)*(k**(1\/10)\/k**(-3))**(1\/32) assuming k is positive.\nAnswer: k**(109537\/450240)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1*((2*sqrt(7)*5 - sqrt(63)\/sqrt(324)) + 0 + (sqrt(175) - -2*sqrt(175)) + sqrt(7) + 4) + 5)**2.\nAnswer: -155*sqrt(7)\/3 + 168211\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 19*f**5 + 70 - 2*f**2 - 5*f**5 + 5*f**3 - 6*f**3 wrt f?\nAnswer: 840*f**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {i: 1, x: 1, b: 1, h: 1, y: 1}. What is prob of picking 1 i, 1 h, 1 b, and 1 y?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Factor 33*z**4 - 37689 - 36*z**4 + 482217 - 372*z**3 - 15120*z**2 - 190512*z.\nAnswer: -3*(z - 2)*(z + 42)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {s: 1, d: 1, w: 1, x: 3, o: 1}. What is prob of picking 1 d and 1 o?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 6 + (-1 - (-5 - -6)) + -11?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Convert -52464 (base 8) to base 15.\nAnswer: -66e2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 17*(-2)\/12*(-39)\/52 and 19\/10?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when ((-15)\/4)\/((-8)\/160) is divided by 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2894087.\nAnswer: 7, 59063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let k(m) = -m**2 + 7*m + 10. Let i be k(8). Suppose 4*v = 3*v + i. What is the derivative of -2 - 2*o + 3*o**2 + v*o + 0 wrt o?\nAnswer: 6*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -5\/3 and -89\/105.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 401 is divided by 134.\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let u(l) be the third derivative of -2 + 0*l + 3*l**2 + 19\/4*l**4 + 107\/6*l**3. Differentiate u(k) with respect to k.\nAnswer: 114","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 2338?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -59769 + 59769 + 6*u**2.\nAnswer: 6*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*a - 22 + 64. What is the remainder when a is divided by 9?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8412*t - 8402*t - 463900 = 0. What is t rounded to the nearest one thousand?\nAnswer: 46000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -572.2 - -572. Which is the smallest value?  (a) t  (b) -0.4  (c) 0.4  (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 340 - -10304?\nAnswer: 11144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is -1081.9859 rounded to the nearest integer?\nAnswer: -1082","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-4 - -14)*(-29)\/(-435). Let d = -121 + 121.5. What is the second smallest value in 1\/4, d, m?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 313700394.\nAnswer: 2, 3, 7, 43, 173699","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve -101*o = 71731 - 70822 for o.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:30 AM and 2:03 PM?\nAnswer: 153","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 627752?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 43*m = 39*m + 25308. Suppose 13*j + m = 22*j. What are the prime factors of j?\nAnswer: 19, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 31466803.\nAnswer: 41, 421, 1823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: 3770\/104*-1 + 42\nAnswer: 23\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is -10 != -11938?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let d(y) = -3*y. Suppose -3*r = -0*p + p + 4, 0 = -4*r + p - 3. Let m be d(r). Let o = -272 + 275. Solve m*s - 3 = 0, -4*v + 0*s - o*s = 9 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0000292994497 rounded to four decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.00001126 to five dps.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.47281757 to four decimal places.\nAnswer: -0.4728","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*r**3 + 3*r**3 - 2*r**3.\nAnswer: -3*r**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -438 < -436?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 2\/(-5) - 1334\/115. What is the smallest common multiple of -8*((-9)\/w - 2) and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-3020)\/(-30) - ((-592)\/1628)\/(3\/11).\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 99 + 143. Let p = -592148305.36000237 + 592148547.36. Let f = t - p. What is f rounded to 6 dps?\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -6*k + k + 35. Let q be (495\/(-132))\/(2 - 35\/16). Solve -q = -3*d + k*d for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-1)\/((65\/(-15))\/13*-1).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 1659 a multiple of 79?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*o - 2*o = -44. Calculate the remainder when 5 is divided by (-6)\/33 - 48\/o.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.00662061604 rounded to six decimal places?\nAnswer: -0.006621","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: -135a5a (base 13) to base 2\nAnswer: -1110010101011011110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 2253 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: How many minutes are there between 2:15 AM and 2:51 AM?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((1*sqrt(84))\/sqrt(12))**2*-5 + (sqrt(21) - sqrt(1344)*2)\/sqrt(3).\nAnswer: -15*sqrt(7) - 35","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -3189 - -4887. Calculate the remainder when s is divided by 142.\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: 2968 divided by 742\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(100)\/sqrt(80))\/(sqrt(5) + -2*sqrt(125)))\/((sqrt(288) - ((sqrt(288) - -1*sqrt(288) - sqrt(288))*-4 + sqrt(288) - sqrt(288)))*-2).\nAnswer: sqrt(2)\/4320","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Convert 96136.83 kilograms to nanograms.\nAnswer: 96136830000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let f(g) = -3 + 2*g + 0*g - 7 - g. Calculate f(0).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 45*q = 44*q + 9 - 1. Let k(b) = -18*b - 4. Let t be k(-6). Calculate the highest common divisor of t and q.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(g) be the third derivative of g**7\/2520 + g**6\/360 - g**5\/120 + g**4\/12 + 4*g**2. Let z(j) be the second derivative of k(j). Does 23 divide z(4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 582015 and 525.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-2)\/12 - 3557\/6. Let b = j - -2277\/4. What is the common denominator of (-54)\/(-40) + 4\/16 and b?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -14 = k + 4*a, k - 4*a - 31 = a. Let j(o) = o**3 + o**2 - 5*o - 3. Let y be j(-3). What are the prime factors of (4\/k)\/((-2)\/y)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -1228 - -2604. Calculate the remainder when d is divided by 60.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 8966, 9208, 9454, 9704?\nAnswer: 9958","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 27430282.\nAnswer: 2, 11, 17, 71, 1033","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is -407 less than -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 0.1 not equal to -14?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 25 + -16. Suppose -5*d - r - 6 = 0. What is the tens digit of (-16)\/d*(-6)\/(-2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (g\/((g**(-3\/8)*g*g)\/g*g*g))\/g**(1\/6)*((g*g**5)\/g)\/(g\/(g\/g**6))*(g*g**(3\/2)*g**(2\/5))\/(g**(-1\/3)\/(g*g**(-1\/11)*g)) assuming g is positive.\nAnswer: g**(3103\/1320)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let -1\/9*m**3 - 23*m**2 + 0*m + 0 = 0. Calculate m.\nAnswer: -207, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (z*z**0)**5 assuming z is positive.\nAnswer: z**5","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((p*p\/((p*p\/(p**(2\/39)\/p))\/p))\/p*p*p*(p*p**(-1\/3))\/p*p)\/(p**(-7))**(3\/16) assuming p is positive.\nAnswer: p**(1891\/624)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let k(u) = -u + 6. Let l be k(5). What is the greatest common factor of 7 and l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose u - 47 + 17 = 0. Suppose -527*o - 220 = -522*o. What is the remainder when u is divided by 1 + ((-24)\/(-1))\/((-66)\/o)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 22 and 13504?\nAnswer: 148544","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:28 AM and 10:10 AM?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*j - 166 = 5*w - 18, -5*j = -w - 276. Calculate the remainder when j is divided by 10.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2419 = -44*y - 2*o - 829, 214 = 2*y - 3*o + 374 for y.\nAnswer: -74","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*s - 4*r = 91, 3*r = -3*s - 2*s + 171. Calculate the least common multiple of 249 and s.\nAnswer: 2739","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3 - 5 - (-1 - (0 + 3))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (63\/(-28))\/(3\/(-24)*3).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -17 - (-81 - -54) - 41.\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from kkkkkkyy. What is prob of picking 1 y and 1 k?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let j(z) = -4269981*z + 76. Suppose -2*x = 3*v + 2*v + 16, -5*v + x = 22. Let y be j(v). What is y rounded to the nearest 1000000?\nAnswer: 17000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(p) = 1747*p + 823. Calculate s(-3).\nAnswer: -4418","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {i: 2, d: 9, z: 3, u: 2, b: 1, e: 3}. What is prob of sequence db?\nAnswer: 9\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*g + 0*g = 3*u - 20124, -u + 5*g + 6708 = 0. Suppose -4*v = 4*z - u, -2*z - 2*v + 3*v = -3351. Let y = 807 + z. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 55 in -0.5, 8\/5, -9.6?\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let w be -4 + (-1 - (2 - 4)). Let c(p) be the third derivative of -1\/30*p**5 + 0 - 1\/8*p**4 - 4*p**2 + 2\/3*p**3 + 0*p. Give c(w).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1100112001220 (base 3) in base 13?\nAnswer: -1c226a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Divide -11855 by -2371.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Convert 40545011 (base 6) to base 9.\nAnswer: 2164837","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -115641 = 15*k - 338631. What is the hundreds digit of k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -55\/316 or 1?\nAnswer: -55\/316","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: How many nanometers are there in 98.49518km?\nAnswer: 98495180000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many centimeters are there in 3\/5 of a meter?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 47\/140 and -43\/120.\nAnswer: 840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 236 minutes after 3:45 AM?\nAnswer: 7:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -0.13 + 0.03. Let g = -78 + 73.1. Let v = d + g. Which is the second biggest value?  (a) -3\/2  (b) -1  (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 856736.\nAnswer: 2, 41, 653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Convert -4948 (base 12) to base 10.\nAnswer: -8264","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Are 221 and 185296\/837 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -133, -615, -1415, -2533, -3969?\nAnswer: -5723","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -30*d + 8 = -22*d for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.7 * -24.\nAnswer: -16.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose t - 12 = -10*d + 8*d, 4*t = -d - 8. Suppose d*a - 182 = 154. Calculate the remainder when a is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -75772274*j**3 + 67530590*j.\nAnswer: -454633644*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 215642 and 252?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 549526507?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3*d**2 + 8*d**2 + 65149*d**3 - d**2 - 65146*d**3 - 10*d**2.\nAnswer: 3*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve -90*i + 215*i - 90*i = 122*i + 3480 for i.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let c(s) = -15*s + 2. Let q(h) = -16*h + 2. Determine 6*c(f) - 5*q(f).\nAnswer: -10*f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -w = 5*c + 10 - 2, c - 5 = 2*w. Let z(q) = q + 3. Let g be z(-5). Is (g - c)\/((-3)\/159) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of -33992, -57271, -80550?\n\"Answer: -23279*u - 10713","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -j - 3 + 17. Solve -6*w - j = -3*w - m, 5*m = -w + 22 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(x) = 263*x + 769. Let r be s(-2). Which is the closest to 0?  (a) -0.2  (b) r  (c) -5  (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 25 a factor of 1325?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*r**3\/7 - 18*r**2\/7 - 3564*r\/7 + 55176\/7.\nAnswer: 3*(r - 22)**2*(r + 38)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*f = v + 16 - 11, -3 = -3*f. Let s(n) = -5*n**3 - 4*n**2 - 3*n - 4. Let m(t) = 5*t**3 + 3*t**2 + 2*t + 3. Let h(l) = -4*m(l) - 3*s(l). Calculate h(v).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -44\/117 + 2\/13. Let g(v) = 2*v**2 - 13*v - 40. Let m be g(-4). Suppose m*w + 6 = 38*w. Put w, -3, -0.5, h in descending order.\nAnswer: h, -0.5, w, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of 1050, 4163, 9344, 16593?\n\"Answer: 1034*g**2 + 11*g + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Total of -1087.1 and -0.22350795953.\nAnswer: -1087.32350795953","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let u(m) = -14*m. Let h(w) = -w**2 + 12*w - 139. What is u(h(o))?\nAnswer: 14*o**2 - 168*o + 1946","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Sort 4, -4, 72 in descending order.\nAnswer: 72, 4, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let o(z) = -z + z + 3*z - 5*z. Let s be o(-2). Solve s*l - 4 = 12 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 3 - 5. Let f be 0 + q*(-2)\/(-14). Let n = 333214 + -333212. Which is bigger: n or f?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*v = 5*m - 58, 0*v = -5*m + 2*v + 76. Let a = 554 - 428. Calculate the highest common divisor of m and a.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 12165*n + 12162*n - 24327*n + 1731*n**2 as d*n**2 + v*n + u and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of -31816, -63632, -95448?\n\"Answer: -31816*s","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is s in -3*s**4 - 42981*s**3 - 3291498*s**2 + 3592404*s + 20007000 = 0?\nAnswer: -14250, -78, -2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is the sixth biggest value?  (a) -3\/14  (b) 0.4  (c) 80\/37  (d) -3  (e) -4  (f) -0.5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 6398 + -6398.13. Let a = 91 + -91.37. Let f = a + c. Put f, -36, 1, 1\/10 in increasing order.\nAnswer: -36, f, 1\/10, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(b) = -b + 4. Let o(c) be the first derivative of c**3\/3 - 50. What is o(j(n))?\nAnswer: n**2 - 8*n + 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 8 and 14.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 344 - 343.3. Which is the biggest value?  (a) i  (b) 12\/5  (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (84\/20)\/((-537)\/(-1790))?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: How many grams are there in one tenth of a tonne?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*a + 2*k + 86 = 0, -2*k = -2*a + 5*a - 139. Suppose x = -5*u + a, -4*u - 9*x = -7*x - 36. Let m = -3 + 3. Solve 3*r = -m*r - u for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(x) = x**3 + 3*x**2 - 10*x - 40. Let k be g(-5). What is the remainder when 168 is divided by (10 + 0)*(k\/(-8))\/5?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 523204154 to the power of 1\/2, to the nearest integer?\nAnswer: 22874","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:53 PM and 11:24 PM?\nAnswer: 631","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Sort -8, -1773, -2, 2\/13, 4 in descending order.\nAnswer: 4, 2\/13, -2, -8, -1773","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -131\/2558568 and -139\/5052.\nAnswer: 1077157128","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*p**2 + 80724*p - 161460 = 0 for p.\nAnswer: -26910, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Does 21 divide 769377?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify z**(1\/3)*(z*z**(2\/5)*z)\/z*z*z**2*(z\/(z*z**(-3)*z))\/z*z assuming z is positive.\nAnswer: z**(101\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Convert d26 (base 14) to base 9.\nAnswer: 3478","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose n = -16 + 164. Suppose 52*x = 19*x + 2376. Let o = x - n. Round o to the nearest ten.\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 3247220036 to the nearest integer?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Does 32 divide 89711360?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 67\/2874 and -97\/804?\nAnswer: 385116","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let i(s) = 7*s + 751. What is the remainder when i(20) is divided by 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -0.19 - 0.81. Let m = 0.1 - -0.4. Which is the nearest to k?  (a) m  (b) -4  (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 201502\/197 or 1023?\nAnswer: 201502\/197","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"}
{"text":"Question: Suppose -45 = -7*z - 10. Suppose z*v - 6 = 9. Solve -8 - 104*x**v - 5*x**5 - 44*x - 192*x**2 + 96*x**2 - 56*x**4 - 7*x**5 = 0 for x.\nAnswer: -1, -2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 150 + -146. Let w = 11\/24 - 5\/24. What is the second biggest value in 0.2, p, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 7 - 7. Let g be 46\/11 - 88\/484. Let n(m) = -g*m - m + 4*m. Give n(o).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 30*a**2 - 14*a**2 + 384 - 191 - 193.\nAnswer: 16*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let h(r) = -6*r - 2. Let y(x) = -x. Let s(k) = h(k) + 2*y(k). Is s(-6) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-208)\/(-48) + (-2)\/6. Suppose 3*o = x*z + 27 + 21, -o - 4*z = 0. Calculate the greatest common factor of o and 18.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2375881517 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 7225066 a multiple of 35?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 657599 to the power of 1\/5, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 1\/32 or 7342?\nAnswer: 1\/32","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 60 in -1, 5\/3, 1\/3, -1\/3, 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 60963?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*q + 54 = -31. Let t(i) = -19*i - 30. Is t(q) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 5 - (4 - ((-5 - -13) + -4)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 85, 166, 245, 322, 397, 470?\nAnswer: 541","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 2 - (5 - 5 - 1).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*o + p = -1193, 2*o + p = 3*o - 399. Is o a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 491 + -431. Suppose 3*k - i - 6 = 0. What is the lowest common multiple of 14 and k?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 + 0 + 0)*((-o**2 - 2*o**2 + o**2)*(1 - 1 - o) + (40*o - 278 + 278)*(2*o**2 + 2*o - 2*o)).\nAnswer: -82*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Divide 7384 by -330.\nAnswer: -3692\/165","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 160 and 517635?\nAnswer: 16564320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*y + 5*v - 25, 0 = -11*y + 14*y + v - 5. Let i(f) be the first derivative of -3\/2*f**4 + y*f + 3\/2*f**2 + f**3 - 1. Suppose i(x) = 0. Calculate x.\nAnswer: -1\/2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -0.015 + 24.015. Let b = f - 23.6. What is the second biggest value in 4, -1\/4, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be ((-4)\/70)\/(1\/(-10)). Suppose 4 = -2*w - 0. Which is the nearest to 3?  (a) w  (b) n  (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(66)\/sqrt(99) - sqrt(6))\/sqrt(3))**2.\nAnswer: 8\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 14*a**3 - 19*a**3 - 44*a**3.\nAnswer: -49*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 93750, 93621, 93496, 93375, 93258?\nAnswer: 93145","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((w*w*w**6)\/(w*w**(4\/3))*(w**0)**(-2\/7))\/((w*(w**(2\/5)*w)\/w*w)**(-13)\/(w**(3\/4)*w**(-5)*w)) assuming w is positive.\nAnswer: w**(2017\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 6813 is divided by 236.\nAnswer: 205","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -n + 3*j - 5, 2*j - 9 = 4*n + 1. Let p = 0.0061 + 31.8939. Let i = p - 32. What is the closest to i in n, 1, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-191 - 297 + 94)*(f - 4*f + 4*f).\nAnswer: -394*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1298 + 2740 = 177*n - 1803 for n.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: 3 divided by -5470\nAnswer: -3\/5470","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Do -1 and 4\/11284137 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve 180 = -3*m, -79 = p + 22*m - 23*m - 138 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1 in 211\/9, -1\/27, 0.064?\nAnswer: -1\/27","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Put -5, -3\/4, -1\/6, -23045, 2\/11 in descending order.\nAnswer: 2\/11, -1\/6, -3\/4, -5, -23045","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 8*f + 6*f - 28. Suppose -f*d + 24 = 10*d. What is the common denominator of (-297)\/(-72) + 6\/(-4)*d and -16\/11?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(t) be the second derivative of -t**7\/1260 - t**6\/90 - t**5\/15 + t**4\/12 + t. Let a(m) be the third derivative of c(m). Find r, given that a(r) = 0.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-8)\/6 + 0 - (-28)\/12\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: How many nanometers are there in 19.8525 meters?\nAnswer: 19852500000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 161\/28*20\/5?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 25 - 27 - (-2 + (6 - 0))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: ((-2)\/(-3))\/(-56 - 9040\/(-160))\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1 less than 32160.9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let q(o) = -o**2 + 2. Let m be q(0). Suppose 0 = 5*b - 20, c + m*b = 7*b + 3603. Let w = c - 43525\/12. Calculate the common denominator of -11\/14 and w.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -27 + 52. Find the third derivative of 29*m**2 - 33*m**2 - w*m**4 + 21*m**2 wrt m.\nAnswer: -600*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (34 - -8) + -1 - (35 - 22)?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 14907565609 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let f(t) = 516*t - 4138. Determine f(8).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 53 - -2098?\nAnswer: 212b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {y: 2, j: 3, n: 2, h: 4}. What is prob of picking 2 h and 1 y?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 86 - (-8 + 58) - 23?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 191.03 - 191. Let v = -2 + 19\/8. Put -0.7, v, -5, t in descending order.\nAnswer: v, t, -0.7, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 2059, 2718, 3419, 4168, 4971, 5834, 6763, 7764?\nAnswer: 8843","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 3557 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 743062.\nAnswer: 2, 313, 1187","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Does 14 divide ((-87)\/(-2))\/((14\/98)\/((-1236)\/(-42)))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2620*v**2 + 455*v + 50.\nAnswer: -5*(4*v - 1)*(131*v + 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: How many litres are there in 0.480973ml?\nAnswer: 0.000480973","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1504095272?\nAnswer: 2, 188011909","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve 7*b - 2*l = 10*b - 9, 0 = 5*l for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 14 a factor of 9005?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -0.03394 - -0.033946022. What is r rounded to 6 dps?\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 3710 - 3710. Let h(x) be the first derivative of 23\/3*x**3 + 0*x**2 - 15 + g*x. Let b(s) = s**2. What is b(h(u))?\nAnswer: 529*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 89 - 22. Does 14 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 150\/35847767 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1 in 0.4, -3.9, 2\/13?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Product of -31369 and 139.\nAnswer: -4360291","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 51*t**2 - 3 - 66*t + 3 + 19*t**2.\nAnswer: 70*t**2 - 66*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 1616 to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let c(m) = -20*m**3 - 9*m**2 - 34*m - 68. Let n(l) = -7*l**3 - 3*l**2 - 12*l - 23. Let q(b) = -6*c(b) + 17*n(b). What is the derivative of q(g) wrt g?\nAnswer: 3*g**2 + 6*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(56)\/(sqrt(128)*-6).\nAnswer: -sqrt(7)\/24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: 21 divided by 232164\nAnswer: 7\/77388","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 w and 3 d when four letters picked without replacement from wdwwwwddwwww?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -0.371 - 3.599. Let b = 0.03 - n. What is the biggest value in 4\/9, b, -2?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*b - b + b)*(-4 + 2 - 1) + 0*b + 0*b + 2*b.\nAnswer: 8*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 29846522 - 477697371\/16. Let g = c - -9559. Calculate the common denominator of g and 125\/18.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((2 + sqrt(2057))*1 - (-4 + -1 + sqrt(2057)))**2.\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((g**(1\/2))**(-1\/30))**(1\/40)*g**(-1\/6)\/(g\/g**(-6))*(g**(4\/5)\/g*g)\/((((g\/(g*g**3)*g)\/g)\/g)\/g) assuming g is positive.\nAnswer: g**(-3281\/2400)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let f(q) = -3 + 112*q - 84*q - 3. Let d be f(5). Suppose -4*z + u + 223 = 0, -4*u + 150 + d = 5*z. Is 14 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(s) = 4*s**2. Let h(b) be the third derivative of b**7\/1680 + 2*b**5\/15 - 8*b**2. Let n(c) be the third derivative of h(c). Determine n(a(d)).\nAnswer: 12*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let i(r) = 259*r - 408. Is i(2) a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find h such that 19*h + 29*h + 4*h**2 - 44*h + 2*h**2 - 2 = 0.\nAnswer: -1, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 231*z - 230*z + 10 = -2*a, -2*a - 2*z - 14 = 0 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let r(h) = -2*h**2 + 5*h. Let c(d) = 3*d**2 - 7*d. What is -5*c(l) - 7*r(l)?\nAnswer: -l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -719218269*s**3 + 548*s**2 - s + 186431?\nAnswer: -4315309614","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -12739841*m**2*t**3 - 1200*m**2*t + 307 wrt t.\nAnswer: -76439046*m**2*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: 1 - (4 + (-30 - -1))\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -l**4 + 2935*l**3\/4 - 16961*l**2\/2 - 2166*l = 0.\nAnswer: -1\/4, 0, 12, 722","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*c + 442 = -4*g - c, 3*g - 5*c = -342. Let h = -106 - g. Suppose -3*b + 1 = v - h, -4*b + 27 = -3*v. Solve 4*n + 3 = b*n for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 5643 a multiple of 33?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 300495 to the nearest integer?\nAnswer: 548","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let a(s) = 4*s + 17. Calculate a(-11).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.643857971 rounded to 1 dp?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Does 15 divide 1410?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 4323801\/650 - 6652. Calculate the common denominator of v and 123\/1300.\nAnswer: 1300","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(i) = -i**3 + 29*i**2 - 123*i + 65. What is w(24)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 65506576 a multiple of 851?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: -981 times 59.33\nAnswer: -58202.73","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*v + f + 120 - 4010, v - 4*f = 981. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(w) = -5*w**3 - w**2 - 2*w - 2. Suppose i + 120 = 7*i. What is the remainder when j(-2) is divided by i?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*h - 5*t + 45735, 0 = h + 4*t - 10429 + 1267. What is the units digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(i) be the first derivative of -2*i**3\/3 + 6*i**2 - i + 10. Let x be t(5). Suppose -h = -40 + x. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-3)\/(-9)*-2*(-2)\/(-2).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 21 a factor of 1196?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve -15*t + 16*t - x - 3 = 0, x = -5 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 152756 is divided by 2075?\nAnswer: 1281","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 14\/6 + 2\/(-6)*1. Suppose -3*y + 17 = -34. Let g = 19 - y. Solve 3*b + 0*o = g*o + f, 4 = 2*b - 4*o for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -2\/5, -0.3, 0.5, 53, -71\/4?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*d + 139 = -41. Let t be (34\/(-3))\/(10\/d). What is the tens digit of t*(135\/(-10))\/9?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -6.0002 - -6. Round o to three dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((-7 + 5 - 4)*(2*q**2 - 2*q**4 - 2*q**2) - 15*q**4 + 63 - 63)*(q + 0 + 0 + (3 - 3 + q)*(1 - 2 + 2) - q + 2*q - 2*q).\nAnswer: -3*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: How many micrograms are there in one tenth of a milligram?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-9)\/3 - (-2 + -2). Let s = 2 + l. Suppose -5*d = -0*d + s*z - 230, -5*d = 2*z - 225. What is the units digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"}
{"text":"Question: Let q(t) = -t**2 + 8*t. Let c be q(6). Suppose -37 + c = -5*z. Suppose -2*m = 1 + 5. What is the second smallest value in 5\/2, m, z?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-6 - 6) + (72 - 63) - (5 - -2)) + 86.\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand z - 9 + 9 + 3*z - z + 0*z - 2*z - z + 4*z + (-2 + 2 - 2*z)*(-3 - 1 + 2) + 0*z + 3*z - 2*z + 0*z + z - 2*z + 4*z - 5*z - z.\nAnswer: 6*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:52 AM and 3:00 PM?\nAnswer: 428","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3990473.\nAnswer: 3990473","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 25 and 155?\nAnswer: 775","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*q - 5*v - 40 = 0, -v = -268 + 273 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (22 + 6 - 4)*(-2*f - 2 + 0 + 0) - f + 1 - 1.\nAnswer: -49*f - 48","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 27.73 - 28. Let m = 0.139 + l. Round m to 2 dps.\nAnswer: -0.13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1313 (base 4) to base 12.\nAnswer: 9b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-1256)\/(-2198))\/(3\/((-21)\/2*-7)).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is a in -4565*a**4 + 18276*a**3 - 64*a**2 = 0?\nAnswer: 0, 16\/4565, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Express 477 + 478 - 1169*h - 956 + 465*h as m*h + i and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 1716?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:18 PM and 2:54 AM?\nAnswer: 636","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Put -871152, 25, 2 in increasing order.\nAnswer: -871152, 2, 25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve -667*x = 227*x + 1788 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of -1318, -887, -456, -25, 406?\n\"Answer: 431*n - 1749","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 33 and 99.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of -963385, -963453, -963521, -963589?\n\"Answer: -68*h - 963317","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((p\/((p\/(p*(p\/p**(-2\/11))\/p))\/p*p))\/p)\/p)\/p**(1\/7)*p**(4\/7)*p*p*p**(6\/11)\/p)**(8\/11) assuming p is positive.\nAnswer: p**(712\/847)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 7 a factor of 21539?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -13 + 4. Let w be (-1374)\/270 - 2\/r. Let n = -21\/5 - w. Which is bigger: -1 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1, -0.3, -4, 24 in descending order.\nAnswer: 24, 1, -0.3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let g(j) = -663*j - 41768. Calculate g(-63).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Expand 4*k**2 - k**2 + 0*k**2 - 3*k + k**2 + 3*k + (3*k + 0*k - k)*(-3*k + 2*k + 3*k) - 2 - k**2 + 0*k**2 - k**2.\nAnswer: 6*k**2 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose m - 241468 = -7*m + 882892. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (52\/130)\/(2\/(-30)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 7\/(-5)*-5*(27 - 6) and 126.\nAnswer: 882","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 38572.55 years in centuries?\nAnswer: 385.7255","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -23*v + 23*v - 89*v**2 - 22*v**2.\nAnswer: -111*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 5049504 and 17266.\nAnswer: 178","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 4*l + 4*p + 80, 4*l - 5*p + 3*p - 12 + 1 - 17 = 0 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3192650552.\nAnswer: 2, 7, 13, 4385509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 8647*w**6 - 16*w**5 + 538377*w**2.\nAnswer: 1037640*w**3 - 960*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of 268, 660, 1368, 2392, 3732, 5388?\n\"Answer: 158*k**2 - 82*k + 192","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 1 + -2 + (2 - 0)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -9.57 - 331319737\nAnswer: -331319746.57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Total of 69.1 and 0.45.\nAnswer: 69.55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let i(z) = 2*z - 7. Suppose 44*q = n + 41*q - 47, 3*n - 5*q = 141. Let k = -120 - -74. Let t be n\/7 + (k\/(-14) - 3). Determine i(t).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 675 minutes before 6:48 AM?\nAnswer: 7:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 29282 to the nearest integer?\nAnswer: 171","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -15 - -19. Suppose 0 = 4*g - 2*v, -4*v - 12 + i = 0. What is the nearest to g in -0.2, -1\/7, 2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 2*i**3 + 222856 - 222856 - 247*i as l*i**3 + s*i**2 + k*i + z and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 3\/69611617 less than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 400 minutes after 4:55 PM?\nAnswer: 11:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 4324 and 92?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((-5*a + 0*a + 4*a)*(4 - 2 - 4) + (1385 - 1385 - 34*a)*(-6 + 3 + 9))*(3 - 6 - 2).\nAnswer: 1010*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 45.5 + -50.5. Which is the closest to -0.1?  (a) v  (b) -22  (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -1895 or -1899?\nAnswer: -1899","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 25719?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {x: 5, i: 2, h: 3, o: 7, n: 2, f: 1}. Give prob of picking 1 f and 1 o.\nAnswer: 7\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 67\/7673952 and -77\/1152?\nAnswer: 92087424","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.000035387 to six decimal places.\nAnswer: 0.000035","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -28\/29  (b) 10  (c) 42\/11  (d) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let k(m) = 1327*m**2 - 1100*m + 1105. Give k(1).\nAnswer: 1332","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 4\/(-6) + 56\/3. Let b(r) = r**3 - 5*r**2 + 4*r + 8. Let u be b(4). Let j = v - u. Calculate the remainder when 39 is divided by j.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(a) = -2*a**2. Suppose -1 - 9 = -5*b. Let h(d) = -b*d - d + d + d. Give s(h(f)).\nAnswer: -2*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is (72\/(-96))\/((-66)\/16)?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.231 - 6539.89.\nAnswer: -6539.659","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 2*(-2)\/(-4) + 13. Let y be 4\/p - 38\/(-14). Suppose -32 = y*l - 158. What is the highest common factor of 6 and l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(w) = w**3 + 17*w**2 + w + 3. Let u be n(-7). Let s = -212 + u. Does 10 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 3*(-6)\/45*196\/392. Let h(n) = -n - 5. Let a be h(-7). What is the closest to 2\/3 in a, -3\/16, w?\nAnswer: -3\/16","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(t) = -25*t**2 - 648*t + 59. Let g be c(-26). Is g at most as big as 87?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -1794 - -1798. Solve -3*q = -5*a - 8, -o = q - 2*a - 8 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(s) be the second derivative of -5*s**4\/12 - 7*s. Let d(i) = 3*i**2 - 4*i**2 + 2*i**2. What is t(d(o))?\nAnswer: -5*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 744450, 744433, 744406, 744363, 744298, 744205, 744078?\nAnswer: 743911","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -0.01 - -3.01. Let q = -225\/932 - 2\/233. Let b be 2\/4*(-1 + 2). What is the third smallest value in q, b, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor i**2 - 200*i + 784.\nAnswer: (i - 196)*(i - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-1)\/((-28)\/(-48)) + 2. Let m = -1345 - -6722\/5. Which is bigger: m or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -2 (base 13) in base 12?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: 0.476*-5\nAnswer: -2.38","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 4 - (-5 + (-4 - -12))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 705 minutes after 5:59 AM?\nAnswer: 5:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 14691 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: Simplify (j\/(j\/(j*j**3*j*j))*j*j*(j*j*j**(-5))\/j*(j*j\/(j**8\/j))\/(j*j**7))**14 assuming j is positive.\nAnswer: j**(-126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose m = u + 391 - 90, -918 = -3*m - 2*u. Suppose -4*f + m = 12. List the prime factors of f.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (90\/(-20))\/((78\/8)\/(-13)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Sort 15, 1, -7, 0 in decreasing order.\nAnswer: 15, 1, 0, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 4*c**2*d**3 + 468*c**2*q - c*d**3*q - 63*d**3 + 2*d**2*q + 1 wrt c.\nAnswer: 8*d**3 + 936*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Sort -493, 1\/3, 345, -1 in descending order.\nAnswer: 345, 1\/3, -1, -493","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -4591\/8 + 576. Let v be 4556\/(-33) + (-1)\/(-3). Let m = v - -11075\/88. What is the common denominator of m and c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Are 29 and 7\/3 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -11476, -10707, -9930, -9145, -8352, -7551, -6742?\nAnswer: -5925","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -192.94449 rounded to the nearest ten?\nAnswer: -190","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 6 + 32 - 38 + 19704*q**3.\nAnswer: 19704*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Sort 6474, -4, -1092, 7 in decreasing order.\nAnswer: 6474, 7, -4, -1092","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 104 is divided by 50?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Put 7, -12\/5, 0.1, -5, 4\/5, -29 in ascending order.\nAnswer: -29, -5, -12\/5, 0.1, 4\/5, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (14*(-18)\/(-2772))\/(1\/((-5)\/10)).\nAnswer: -1\/22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Does 29 divide 580?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let j(n) = n + 1. Let h(z) = 3*z - 7. Let v(l) = h(l) + 3*j(l). Let k be v(9). Let f = -36 + k. Is f a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 13411 is divided by 16?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 4721 is divided by 105.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let q(s) = -s**3 + 5*s**2 + 5*s - 1. Let d be q(5). Suppose -20832 = -124*l - 0*l. What is the highest common divisor of d and l?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(z) = 28517 - 4*z - 28517. Calculate c(2).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*o + 3*u, 0*o - 3*o = -3*u. Suppose o = -3*d - x + 37, -5*d + 35 = -3*x - 2*x. What is the highest common divisor of d and 33?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of 172, 349, 540, 751, 988, 1257, 1564?\n\"Answer: l**3 + l**2 + 167*l + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -154*p + 22*p - 2772 for p.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 55 is divided by 21.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of -449, -448, -447, -446, -445, -444?\n\"Answer: h - 450","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -524, -1723, -3580, -6095, -9268?\nAnswer: -13099","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (b**16\/b*b**(3\/7))\/(b**(-10\/3))**6 assuming b is positive.\nAnswer: b**(248\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 823535801?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 80495778 is divided by 405?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (8\/(-84)*-6*(-119)\/1615)\/((-2)\/(-5)).\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let x(y) = -3*y + 25. Let p be x(9). Let v be 1\/1 + 4 + (p - -2). Suppose m = v, -w + 4*m - 730 = -6*w. What is the tens digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = t - 111 - 248. What are the prime factors of t?\nAnswer: 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -29*z + 82 = 24. Let y(v) = 43344 - 43344 + v**z. Let h(s) = -3 + 3 - 37*s. Calculate h(y(x)).\nAnswer: -37*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 10  (b) -1\/3  (c) 4  (d) 3  (e) 0.127\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let j(q) be the third derivative of -q**5\/12 + q**4\/8 + 11*q**3\/6 + 5*q**2. Let c(d) be the first derivative of j(d). What are the prime factors of c(-4)?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 571376 to the power of 1\/3, to the nearest integer?\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -2?  (a) 0.5  (b) -1\/5  (c) -22  (d) -69\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let r(s) = -16 - 20 + 65 - 26 - 28 + s**2. Let p be r(-5). Is 373 less than p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 6142207 by 1.\nAnswer: 6142207","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 541?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(28)\/(sqrt(4) - sqrt(16)\/sqrt(4)*-2).\nAnswer: sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Sort 5, 7\/6, -0.3, -0.1, -0.12 in ascending order.\nAnswer: -0.3, -0.12, -0.1, 7\/6, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose l - 5 = -0. Suppose -l*d - 3 = -43. Suppose -907 + 613 = -49*y. Calculate the smallest common multiple of y and d.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -21 - 19*t + 5*t + 12*t.\nAnswer: -2*t - 21","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -21.3 + 25.3. Sort -4, t, -9 in ascending order.\nAnswer: -9, -4, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(v) = -5*v**2. Let y(n) = -236441*n**2. What is y(f(k))?\nAnswer: -5911025*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let s(b) = -b**2 + 5*b + 44. Suppose -4*z + 11*z = 63. Let d be s(z). Do 9 and d have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"}
{"text":"Question: Calculate 10 divided by 2.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 28168 to the power of 1\/6, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Add together 3820492 and -0.06.\nAnswer: 3820491.94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((v*v**(-2\/9)*v)\/v**(2\/5))**(-1\/12)\/(v**4\/(v\/(v*v*v**(1\/8)*v)*v))**(-10\/9) assuming v is positive.\nAnswer: v**(3013\/540)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (6*sqrt(130)*2)\/(sqrt(10) + 2*sqrt(490)).\nAnswer: 4*sqrt(13)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 2\/((-3)\/18*-3). Suppose 4 = -t*b, -3*a - 2*a - 4*b = -521. Suppose f = -2*f + a. Is 15 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1571884 to the power of 1\/2, to the nearest integer?\nAnswer: 1254","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (k**(1\/3)\/k**(2\/11))**(-1\/4)*((k\/(k\/(k*k\/k**(-2\/15)*k*k))*k)\/(k\/((k\/(k\/(k**6\/k)))\/k)))\/(k**(2\/17)\/(k**4\/k)) assuming k is positive.\nAnswer: k**(41057\/3740)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -4014 + 6451. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 1333 - -1997. What is the hundreds digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (45\/(-9))\/((-10)\/12).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -8627*-153.\nAnswer: 1319931","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 12450787 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*m - 81 + 1981 = 5*b, -3*m - b + 1142 = 0. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(z) be the second derivative of -z**4\/12 + 2*z. Let u(y) = 4*y - 3. Let w(m) = 11*m - 8. Let k(x) = -8*u(x) + 3*w(x). What is k(r(a))?\nAnswer: -a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Put -14, -2\/15, 0.2, -278, 0.06 in ascending order.\nAnswer: -278, -14, -2\/15, 0.06, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 156*q - 1632 = 144*q. Is 131 equal to q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 22*n - 38 = 3*n. Find the third derivative of 6*u**5 + 527*u**n - u**6 + u - 557*u**2 - u wrt u.\nAnswer: -120*u**3 + 360*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 11666 to the power of 1\/2, to the nearest integer?\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Expand -34 - 4*z + 31 - z + (2 - 1 + 1)*(2*z - 3*z - z).\nAnswer: -9*z - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (2548\/(-208))\/49*-100?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Round -133.4691 to the nearest integer.\nAnswer: -133","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (2\/5)\/(31\/(-8215)). Let b be 4832\/44 - (-4)\/22. Let k = b + j. Calculate the remainder when 5 is divided by k.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve q + 2 = -5*v, 5*v + 3*q - 4 = -0*q for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-4 + -16)\/(4\/6). Let m be 8\/5*z\/(-12). Let p(t) = t**3 + 3*t - 7. What is the tens digit of p(m)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 2353, 3\/4, 0, 28, 2, -2?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 214144 a multiple of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let x(p) = p**3 + 2*p**2 + 8*p + 21. Give x(-7).\nAnswer: -280","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 122 + -126. Let y(r) be the first derivative of r**3\/3 + r**2\/2 - r + 110. Let h(b) = -b**3 - 2*b**2 - 3*b + 2. Give m*y(d) - 2*h(d).\nAnswer: 2*d**3 + 2*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*x = 2*s + 84 - 132, -49 = 4*x + 9*s for x.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {f: 4, r: 11, u: 4}. What is prob of sequence rrrf?\nAnswer: 55\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {o: 1, l: 9, f: 1, c: 2}. What is prob of picking 1 l and 1 f?\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -1965916*r**3 + 1324656*r + 3.\nAnswer: -11795496*r","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"}
{"text":"Question: Round -0.0000565053706 to 7 decimal places.\nAnswer: -0.0000565","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -1\/11 or -32\/11649?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -9.1 + 8.6. Let v = 84.7 - 81. Let i = v - 0.7. What is the smallest value in -0.1, t, i?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 500 - 497. Suppose -n = 4*o - 679, d*n + 687 = 4*n + 2*o. Is 11 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 v, 1 y, and 1 i when three letters picked without replacement from {v: 6, h: 1, k: 3, n: 3, i: 2, y: 4}?\nAnswer: 16\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 25 - 23 + 2*g**2 - 3*g**2 to x + v*g + b*g**2 and give b.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let d(r) = -r**3 - 18*r**2 - 30*r + 35. Let m be d(-16). Let s be 84\/(-48)*(-4)\/1. Suppose -10*c = -s*c - 12. Put c, -4, m in descending order.\nAnswer: c, m, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -17.6 + 21.6. Put 6, -3, s, -0.3 in descending order.\nAnswer: 6, s, -0.3, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 11049434 is divided by 109?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (214\/3)\/(6\/3789). Let j = h - 137127. Let t = 207920 - j. Round t to the nearest one million.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 9\/11 + (-28)\/(-154). Differentiate -4 - 5*n - 2 - w + 10*n wrt n.\nAnswer: 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3445 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: b\"What is the pth term of -90, -245, -468, -759, -1118, -1545, -2040?\n\"Answer: -34*p**2 - 53*p - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -7.1 + -8.7. Let p = -15.6 - w. Let j be (-4)\/(-14) - (-22)\/70. What is the closest to -0.1 in -1, j, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 19146?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {n: 3, u: 1, f: 3}. Give prob of picking 3 n and 1 f.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -11 = -3*r - 2. Suppose 4*k = -3*u + 14, r*u - 2*k = -4*k + 22. What is the remainder when u is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(g) be the third derivative of 7*g**4\/6 - 85*g**3\/3 + 4106*g**2. Determine y(6).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 92 + -89. Suppose g*j = 13 + 11. Does 4 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 4*k + k - 2 - 4*k + (1 + 2 + 0)*(1 + 4 - 2)*(3*k - 3*k + 4*k) to the form i*k + a and give a.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 21 = 2*i + 13. Suppose 0 = 3*h - i*h + 23. What is the tens digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -42*o + 712 = 334 for o.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -69 + 68.6. What is the nearest to 0.1 in 6, -5, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: (2 + 0 - -1) + -6\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*l - 2 - 2 = 0. Let y be -16*(-2)\/(-4) - (-6)\/2. Put y, 4, 2, l in descending order.\nAnswer: 4, 2, l, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*x + o + 16, -5*x + 42 = 5*o - 28. Suppose -5*b = s + s + 8, 5*b = -5*s + x. Solve -2*f - 10 = -2*y, -9 = -3*f - s*y + y for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(k) = -k**3 + 5*k**2 + 17*k - 26. Let w be 1\/(-1 + 33\/30 + (-22)\/(-220)). What is q(w)?\nAnswer: 59","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 63 divide 138?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let h(t) = t**5 + 2*t**4 + t. Let o(k) = -2*k**5 - 3*k**4 + k**3 - 2*k. Let v(r) = -3*h(r) - 2*o(r). Solve v(s) = 0 for s.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-38448)\/(-60))\/(-12)*(-23)\/((-621)\/45)?\nAnswer: -89","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 136180 + -95441. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 4146826155?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -1d0 + 14bd?\nAnswer: 12cd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Express 10*r**2 - 6*r**3 - 10 - 10*r**2 + 0*r**3 in the form x + c*r**3 + j*r**2 + g*r and give x.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(245)\/sqrt(180))\/(6*sqrt(28)\/sqrt(4)).\nAnswer: sqrt(7)\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*a**4\/7 + 610*a**3 - 50994*a**2\/7 + 89186*a\/7 - 42460\/7 = 0. What is a?\nAnswer: 1, 10, 2123","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 14734 and 139?\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -11*a**3 - a**2 + 323*a?\nAnswer: -66*a - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let b(i) = -i**2 - 19*i - 12. Determine b(-19).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -3 + -161?\nAnswer: -164","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let u(k) be the first derivative of -5*k**4\/24 + 2*k**3\/3 - 3*k**2\/2 - 5. Let c(s) be the second derivative of u(s). What is the derivative of c(b) wrt b?\nAnswer: -5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 12*(1 + (-6)\/8). Suppose 3*n = -k - g, -2*k + 1 + 1 = 2*n. Let a be 3\/(-8) - k\/(-72). What is the third biggest value in -0.4, a, 1?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of 4260, 8500, 12726, 16932, 21112, 25260, 29370?\n\"Answer: -n**3 - n**2 + 4250*n + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let g be -4 + -3*(-1 + 0). Let m(u) = -u**2 - 6. Let q(l) = 7. Let y(h) = 7*m(h) + 6*q(h). Calculate y(g).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 79356 is divided by 1017.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: -1 - (-4 - -7) - 0\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*t + 12 = k + 3*k, -5*k + 19 = t. Suppose 0*d - 5*u = -2*d + 16, -6 = -4*d - 3*u. What is the smallest common multiple of -4*(3\/(-2))\/d and k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*d + 65 = 4*l, -d = 5*l - 0*l - 7. Calculate the highest common factor of d and 243.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (u\/((u**0*u)\/u*u*u*u)*u*u)**(-1\/11) assuming u is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 75\/14 and -69\/2188.\nAnswer: 15316","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-z + 4*z - 2*z)*(9*z - 9*z + 22*z**3) - 8*z**4 + 7*z**4 + 3*z**4 to i*z**2 + v + j*z + k*z**3 + x*z**4 and give x.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of -295, -294, -293?\n\"Answer: d - 296","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*k = -3*g + 72, -52*k = -47*k + 5*g - 90. Let f be (5\/20)\/(k\/240). Factor -2*s**4 - f*s**3 + 0 - 4\/3*s**2 + 0*s.\nAnswer: -2*s**2*(s + 1)*(3*s + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (0 - -4)\/(47464\/(-408) + 116)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -2*s + 6738 - 20085 - 37*s**2 + 6805 + 6671 + (1 - 1 + s)*(-3 + 3 + s).\nAnswer: -36*s**2 - 2*s + 129","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -79675 + 46007*j**2 - 46011*j**2 + 79675.\nAnswer: -4*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 16 - ((4 - 6) + -10). Solve 3*w + 3*v = 12, -2*w + 30 = -4*v + y for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 574945\/8 - 146745\/2. Let r = -1501 - d. Calculate the common denominator of r and 41\/7.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0616713 rounded to two decimal places?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(720) + -1 + 1*sqrt(720))**2 + -2 + 0 - ((sqrt(405) - -3*(sqrt(405) + 0)) + -4 + sqrt(405)*-3 + sqrt(405))**2.\nAnswer: 96*sqrt(5) + 1243","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let g(x) = 16*x - 1. Suppose -5*m + c = 26, 2 = -m - 2*c - 1. Let t(l) = -6*l. Let w(q) = -5*q. Let f(y) = m*w(y) + 4*t(y). Let s be f(-1). What is g(s)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from rrrqrrrrqrrr. What is prob of picking 2 r?\nAnswer: 15\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 221*r = 210*r + 2772. List the prime factors of r.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is six fifths of a milligram in micrograms?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 878 divided by 22?\nAnswer: 439\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 59609?\nAnswer: 11, 5419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 2984 - -2097. List the prime factors of y.\nAnswer: 5081","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*m**3\/5 + 76842*m**2\/5 - 147640374*m + 2213914086\/5.\nAnswer: -2*(m - 19209)**2*(m - 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Divide 5 by -4848.\nAnswer: -5\/4848","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let z(i) = -2*i**2 + 47*i + 28. Let n be z(24). Suppose -n*m = p - 2*p - 532, m + p = 133. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 44 - 40. Suppose 6252 = 10*k - a*k. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(j) = -2*j**2 + 10*j + 2. Let l be t(5). Let m(v) be the first derivative of 2 - 18 - 2*v**l - 14 + 6. Let a(u) = u**2. Calculate a(m(i)).\nAnswer: 16*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is six fifths of a tonne in kilograms?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 78642 is divided by 93?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Put -7, 1\/6, 143\/2, 2, -1\/2 in descending order.\nAnswer: 143\/2, 2, 1\/6, -1\/2, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 1469666 and 267212?\nAnswer: 2939332","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-4*(1 + sqrt(396) + -3) + -2*(-4 + sqrt(396))*3 + -2)**2 + -4.\nAnswer: -3600*sqrt(11) + 40496","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 0.052 - -0.148. Let z = 2\/15 - 4\/5. What is the nearest to 1 in k, z, 9\/2?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -21, 7, -63, 3, 4, 2 in descending order.\nAnswer: 7, 4, 3, 2, -21, -63","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0 in 3\/2, 5\/27, 524, -2?\nAnswer: 5\/27","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let v(f) = -f**3 - 4*f**2 - 4*f. Let r be (-8)\/(-4) + (-1 - 4). Calculate the remainder when ((-1)\/(-2))\/(3\/42) is divided by v(r).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 1379, 1548, 1789, 2102, 2487?\nAnswer: 2944","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -2c6ab06 - -2?\nAnswer: -2c6ab04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -2\/7  (b) -2\/15  (c) 2  (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from huuhuuuuu. What is prob of sequence uuh?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -6\/5  (b) 0  (c) -3  (d) 0.5  (e) 0.01\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -3\/5  (b) 0.109  (c) -3  (d) -156\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1335 is divided by 48.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1 in -0.3, -1\/6, -41?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 0.520004 - 0.52. Round s to five decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: 22 divided by -2\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.7 - 173.48.\nAnswer: -172.78","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let c(x) be the second derivative of -x**3\/3 - 2*x. Suppose 2*i - 3 = 1. Let j(z) = z**i - 2*z**2 + 3*z**2. Give j(c(t)).\nAnswer: 8*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 689234 to the power of 1\/3, to the nearest integer?\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of -127154, -247595, -368046, -488513, -609002, -729519, -850070?\n\"Answer: -c**3 + c**2 - 120437*c - 6717","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 546 minutes after 3:56 AM?\nAnswer: 1:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -14055 or -4411?\nAnswer: -4411","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-65)\/(190190\/88)*(-119)\/68?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:28 PM and 7:42 PM?\nAnswer: 374","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 43  (b) 22  (c) -4  (d) -5\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 206784845?\nAnswer: 5, 3581, 11549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-k + k + 3*k + (0*k + 0*k + k)*(5 - 1 - 1))*(-17*k + k - 49*k).\nAnswer: -390*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -7 + -11 + 16 + (32 - (1 + -1)).\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 26477 and 35358.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 712 and 2314.\nAnswer: 178","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of 176189, 176191, 176195, 176201, 176209, 176219?\n\"Answer: h**2 - h + 176189","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (0*i - 2*i + 3*i + (2*i + 0*i - 5*i)*(0 - 3 + 1) + 3*i - 3*i + i + (-350 + 350 - 3*i)*(-2 + 2 + 2))*(-1 - 4 + 4) to c*i + u and give c.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let n(j) = -2724*j + 1367*j + 1345*j. Let w(r) be the third derivative of r**2 + 0 + 0*r + 0*r**3 - 1\/12*r**4. Calculate n(w(b)).\nAnswer: 24*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let w(d) = d - 3. Let m(q) = 4*q. Let i be (-6)\/5*(-5)\/2. Let x be m(i). Suppose -3*k + x + 0 = 0. Give w(k).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -5, 2, 2.4?\nAnswer: 2.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let j(w) = -w**2 - 14*w - 9. Let i be j(-14). Let d be (8141\/22 - 2)\/(i\/3). Let k = d + 243\/2. Which is smaller: k or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is five fourteenths of a week in hours?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2*-1*(5 + sqrt(4032)*1 + ((sqrt(28) + sqrt(28) + 1)**2 + -5 - (sqrt(252) + 0)**2)).\nAnswer: -64*sqrt(7) + 278","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is -50677.3826 rounded to the nearest 10000?\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 12 and 852.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 z and 1 y when two letters picked without replacement from zzzzhzzzzoyz?\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {s: 9, j: 5}. Give prob of sequence jjjs.\nAnswer: 45\/2002","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -58, -114, -190, -298, -450?\nAnswer: -658","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 12 - -9. Suppose 0 = 2*x - 6, -3*i + y = -2*x - 3*x. What are the prime factors of i?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 651678?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -121, -116, -107, -94, -77, -56, -31?\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 3738438\/2686 + (-6)\/(-34). Does 1391 = d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is three eighths of a litre in millilitres?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let b(l) = l**2 - 8*l + 31. Is b(16) a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -57*o**5 + 2361466*o**4 + 24469101*o**2 wrt o.\nAnswer: -3420*o**2 + 56675184*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -6233114, -6233118, -6233122, -6233126, -6233130?\nAnswer: -6233134","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 0.044 - -0.256. Let h = 1 + 2. Which is the second biggest value?  (a) k  (b) -0.1  (c) -8  (d) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 4.802 - -68129212737.\nAnswer: 68129212741.802","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is (91\/(-28))\/(6\/(-288)) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -27\/14 and -31\/22565728?\nAnswer: 157960096","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let o(q) = -q**2 + 2*q - 1. Determine o(-2).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 48418272 divided by -36792.\nAnswer: -1316","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 303 minutes before 6:31 AM?\nAnswer: 1:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 36 and 42966?\nAnswer: 85932","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -79\/9558 and -113\/2430.\nAnswer: 143370","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: -332ba (base 13) to base 12\nAnswer: -45825","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 3579676 to the power of 1\/2, to the nearest integer?\nAnswer: 1892","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4539 + 1464 + 2415)*(3*q**2 - 11*q**2 + 3*q**2).\nAnswer: -42090*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -18.061 - -18. Let m = -0.081 - q. Let v = 6 - 5. Which is the third smallest value?  (a) m  (b) 5  (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 120 in -5, 5, 3\/2?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 1068 and 801?\nAnswer: 267","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 19 - 67 = -12*h for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of -258272, -1033128, -2324560, -4132568?\n\"Answer: -258288*k**2 + 8*k + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -0.09920639 + 0.0992. Round r to six decimal places.\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 0*s**3 + 3 + 4*s**2 - s**3 - 5*s**2 + 7*s - 3*s to the form o*s**2 + d*s + b*s**3 + a and give a.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 429 minutes before 5:13 AM?\nAnswer: 10:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let q(k) = k**3 + 24*k**2 - 37*k + 1. What is the remainder when q(-25) is divided by 17?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 245*n - 248*n - 19*k - 3 = -16, -1 = -n - 3*k for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2310 + 2310 + 10*u**2 + 0*u**2.\nAnswer: 10*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 2545 to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let i(w) = -17*w**2 + 7*w - 367. Let b(g) = 45*g**2 - 20*g + 1097. Calculate -3*b(v) - 8*i(v).\nAnswer: v**2 + 4*v - 355","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 217\/25740 and 19\/468.\nAnswer: 25740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-14)\/56 - (-2)\/8. Solve -3*j + z + 6 = 0 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -4.21 + 0.21. Let k = 3.6 + i. What is the nearest to 0.1 in 5\/2, -1\/6, k?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 196073 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let g(a) = -2*a**3 - 16*a**2 + 4*a - 18. Let m(l) = -l**2 - 1. Let s = -144 + 142. Let f(x) = s*g(x) + 36*m(x). Factor f(r).\nAnswer: 4*r*(r - 2)*(r + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 3132 and 1959588?\nAnswer: 1044","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let f(w) = 949*w**2 + 6*w - 2. Suppose 10 = 8*v + 26. Let r be f(v). Suppose -i - 9735 = -5*b - 226, 0 = 2*b + 5*i - r. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1247247072 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: In base 6, what is 0 - 1032?\nAnswer: -1032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is -2582139 <= -2582138?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: 66420 divided by 60\nAnswer: 1107","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Expand 124*p - 86*p - 402*p + (3 - 3 + 2)*(2*p - 3*p + 10*p).\nAnswer: -346*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let q(x) = 13*x + 5. Determine q(-4).\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(468) + 3 - sqrt(13))*5)**2.\nAnswer: 750*sqrt(13) + 8350","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.344 take away 4.26221?\nAnswer: -4.60621","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is -430 divided by 5?\nAnswer: -86","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let r(g) = 6*g + 12. Determine r(-8).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 4 a factor of (-2 + (-15)\/(-6))\/((-1)\/(-152))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -20.71 + -0.29. Let j = c + 25. Let h = -5.1 - -1.1. What is the closest to 1 in -2\/9, h, j?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 4?  (a) 2\/9  (b) 1588  (c) -4  (d) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -300*w + 296*w + 38 - 5 = r, -4*r + 42 = 6*w for w.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -7806280 divided by 5.\nAnswer: -1561256","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"}
{"text":"Question: Let l(j) = 6*j - 4. Let m be l(5). Suppose -39 = -4*s + 5*k, -2*s + 0*s - 4*k + m = 0. What is the units digit of s\/66 + 155\/6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1104454?\nAnswer: 2, 13, 107, 397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -30*h = -31*h + 29. Suppose -534 = h*n - 32*n. Is n a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0, -1\/2, 2\/19, -4\/3 in decreasing order.\nAnswer: 2\/19, 0, -1\/2, -4\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*v - t = -3*v - 7, 5*v - 4*t + 2 = 0. Let q be v\/6 - (-70)\/15. Suppose 0*z = -5*z + q. Is z greater than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -30846156 - 1?\nAnswer: -30846157","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.38 less than -3230?\nAnswer: -3230.38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-1)\/((-1)\/(-2)) - 3. Let d(s) = 5*s + 0 - s - 3*s + 12. List the prime factors of d(x).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 7836 divide 2435921741?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -100*i = -101*i + 19. What are the prime factors of i?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find w such that 0*w + 0 - 2\/7*w**3 + 2\/7*w**5 + 4\/7*w**2 - 4\/7*w**4 = 0.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*g**2\/7 + 24945351*g\/7 + 74836026\/7.\nAnswer: 3*(g + 3)*(g + 8315114)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is -196816 at least as big as -3345860\/17?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 0.5 and -2320.03?\nAnswer: -1160.015","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-9)\/((-405)\/(-6)) + 3\/9. What is p in 6\/5*p + 9\/5 + v*p**2 = 0?\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*n = -n. Solve -2*m + 8 = 2*l - n*m, 0 = 5*l + 3*m - 20 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -24.9 - -25. Suppose 0 = s + s. Which is smaller: s or k?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (g*g\/(g*g\/(g*g*g**(2\/13))*g*g))**(5\/16) assuming g is positive.\nAnswer: g**(5\/104)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 4082 and 182?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 63600604609 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*w = 3*o - 37, 34*o = 31*o - 2*w + 65. Calculate the remainder when 873 is divided by o.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh biggest value in -0.06, -6, -3.28, -1\/8, -0.54, 0.11, 1?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 285\/(-6)*(6300\/625 - 10)*-5?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(q) = 3*q**2 + 8*q - 19. Let f(g) = 4*g**2 + 8*g - 20. Let k(y) = -4*f(y) + 5*h(y). Let c be k(4). Suppose l - c = -4. Which is smaller: l or 0?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 206078 by -617.\nAnswer: -334","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -18 + 6 + (13 - (-8 + 4)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 100 is divided by 16.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 2 - 2092040?\nAnswer: -209203b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 209 is divided by 55.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let a(y) = 3 - 2*y - 1 + y - y. Let j(l) = -3*l - 4. Let t be j(-2). Give a(t).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 10632774.\nAnswer: 2, 3, 347, 5107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 8720 and -1947?\nAnswer: -16977840","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 179406?\nAnswer: 2, 3, 9967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 3 - -2. Let r be -197 - ((-13)\/((-26)\/(-12)) - -3). Let y = -971\/5 - r. What is the second biggest value in 1\/3, y, k, -3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 48 = 23*y - 31*y. Is 4368 - (y - -3) - (12 - 8) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2297 is divided by 25?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*i + 14 - 34 = 0 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (5\/(-4))\/((-7)\/28). Suppose 0 = f - 5*y + m, -2*f - f - 2*y + 2 = 0. Solve f = -7*r + 3*r - 8 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(y) = -10*y**2 - 234*y + 119. What is d(-23)?\nAnswer: 211","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 2529691449?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence klp when three letters picked without replacement from {y: 3, k: 1, p: 2, l: 1, x: 1, j: 3}.\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -21*i + 2709 = -18*i. Suppose 12 = 5*l - i. Does 61 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of 17612, 141844, 479014, 1135592, 2218048, 3832852, 6086474, 9085384?\n\"Answer: 17745*t**3 - t**2 + 20*t - 152","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 9475341.07500033 + -9475341. Let f = -0.075 + r. What is f rounded to 7 decimal places?\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 793641 and 793641.\nAnswer: 793641","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 115\/1482 and 23\/38?\nAnswer: 1482","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 7244 and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Sort 48, -3, 13 in increasing order.\nAnswer: -3, 13, 48","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let z(o) = -o**3 + 6*o**2 + 19*o - 19. Let b be z(8). Let k(i) = -20*i + 5*i - 35 + b*i. Does 31 divide k(-19)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 2 + 0. Let d = -56 + 56.1. What is the nearest to 0.1 in g, d, 2\/11?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be ((-2)\/4)\/(6\/8). Let b be (-85)\/(-476) + (-153)\/357. Let f be (-6)\/(-2) - 145\/45. What is the fourth smallest value in f, 0.1, b, s?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence cd when two letters picked without replacement from {m: 3, d: 2, j: 3, c: 1, z: 1}?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (c*c**16)\/c**(1\/7) assuming c is positive.\nAnswer: c**(118\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 17733*j**3 + 15*j - 15*j - 17731*j**3.\nAnswer: 2*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let r(o) = -o**3 - 5*o**2 - 3*o + 4. Let m be r(-4). Suppose -2*y + 24 = 2*y. Let w = y + -27\/4. Does m = w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -4*g - g + 7650 + 7648 + 7677 - 22975.\nAnswer: -5*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (3*(4*((sqrt(1088) - (0 + sqrt(1088))) + sqrt(1088))*-5 - (1 + sqrt(1088) + -1 + sqrt(1088)*1*6 + sqrt(1088))))**2.\nAnswer: 7676928","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 10 - 1011001101001011000?\nAnswer: -1011001101001010110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*f - b = 2*f - 6, -f - 3*b = 7. Let q = 78 + -76. Solve f*j + h - q + 24 = 0, -5*h - 10 = 0 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of 195319, 195158, 194889, 194512?\n\"Answer: -54*g**2 + g + 195372","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: How many microseconds are there in 926553.3 days?\nAnswer: 80054205120000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*m + 38 = 3*u + 8, 22 = 5*u + m. Suppose -u*z = 18 - 63. What is the units digit of z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -364538000 rounded to the nearest 1000000?\nAnswer: -365000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -62*g + 481999 = 162451. What are the prime factors of g?\nAnswer: 2, 3, 859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 23 a factor of 59685?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 1111000111101010 + -1011001?\nAnswer: 1111000110010001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3, 573, -5 in increasing order.\nAnswer: -5, -3, 573","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-34)\/12*14\/(-5). Let a = -22\/3 + i. Let j = 0.15 + -2.15. What is the closest to -0.1 in a, j, 2?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -7554, -15185, -22816?\nAnswer: -30447","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 690 and 4350?\nAnswer: 100050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 545488 is divided by 6387?\nAnswer: 2593","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -2*j**4 + 162*j**3 - 275*j + 20 wrt j.\nAnswer: -24*j**2 + 972*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {v: 3, z: 1, r: 3}. Give prob of picking 1 r and 1 v.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence yee when three letters picked without replacement from yyyeeyre?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -51928 - -90906. Does 9 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {i: 1, a: 1, o: 1, v: 1, h: 1}. Give prob of picking 2 h.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 168133283 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (5*-4*(sqrt(11) + sqrt(11) + -1)*-2 + 5)**2 - (sqrt(704) + sqrt(704) + -1 + 3 - (sqrt(176) + (sqrt(176) - (-1 + sqrt(176))))*-5)**2.\nAnswer: -6104*sqrt(11) + 57320","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -11 + -1121112?\nAnswer: -1121200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 5\/5 + -2 - 48\/(-30). What is the smallest value in -1\/3, 0.1, d, -2\/9?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 0.55 and -305205?\nAnswer: -167862.75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 5\/((-135)\/(-2))*(-18)\/3?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -1\/4 + 23\/60. What is the second smallest value in 4, a, -4?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -7\/3 in 0.1, 0, 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 3331023 is divided by 3331015?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth biggest value?  (a) 6  (b) 39  (c) 1\/3  (d) 1\/2  (e) -5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*t**5\/3 - 158*t**4 - 9120*t**3 + 28800*t**2 = 0 for t.\nAnswer: -120, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is (234\/(-104))\/((-315)\/28)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((l*(((l\/l**1*l)\/l*l)\/l)\/l)**(-50))**37 assuming l is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {q: 5, c: 9}. What is prob of sequence cqcc?\nAnswer: 15\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence mamm when four letters picked without replacement from tzttamtzmmm.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 7 and 3226127?\nAnswer: 22582889","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let s(l) = 8*l**2 + 10*l - 4. Let w(h) = -7*h**2 - 9*h + 4. Calculate -6*s(q) - 7*w(q).\nAnswer: q**2 + 3*q - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9*y = 3*y + 6. What is the third smallest value in y, -1\/2, 0.4?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 243 minutes after 7:15 PM?\nAnswer: 11:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -728*d**3 + 12*d + 21 wrt d?\nAnswer: -4368*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let u(s) = -s + 9. Let k be u(9). Suppose -2*z - 4 = k, 5*r + 2*z - 21 = 5*z. What is the smallest value in -2, -1, r?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(d) be the second derivative of -2*d**3\/3 - 15*d**2\/2 + 3*d. Is b(-10) a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 232 and 6380?\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -6.9811 + -93.5059. What is c rounded to the nearest 10?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*m**2 - 24888*m - 3096260.\nAnswer: -4*(m + 127)*(m + 6095)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 635028092?\nAnswer: 2, 47, 59, 57251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 1800300 rounded to the nearest one hundred thousand?\nAnswer: 1800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (8\/66)\/(4\/6). Which is the nearest to -1\/6?  (a) o  (b) 2  (c) -4\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-88)\/72 + 11 + -10\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose n**5\/3 + 32*n**4\/3 + 62*n**3 + 280*n**2\/3 + 125*n\/3 = 0. Calculate n.\nAnswer: -25, -5, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 9.5 - 9.3. Let m = -532\/13 - -41. Which is smaller: f or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(p) = 8*p + 2*p - 8*p - 1 + p. Calculate n(1).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 80052 is divided by 793?\nAnswer: 752","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 10*(-10)\/(-100)*(-3)\/(-4).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-24)\/36*((-3)\/(-18))\/(13\/1872)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 2.15 - 109.15. Let j = u - -106.999929. Round j to 5 dps.\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 15*b - 4*b + 8*b**2 + b**4 - 9*b - b + 1 as y + l*b**2 + x*b + o*b**3 + p*b**4 and give x.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let g(l) = 9*l. Let t(p) = -8*p. Let n(h) = 6*g(h) + 7*t(h). Let a(z) be the second derivative of 0 + 1\/3*z**3 + 0*z**2 - 4*z. Determine a(n(b)).\nAnswer: -4*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (1\/(-11)*(-12)\/(-3))\/2?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let d(u) be the second derivative of -u**6\/105 - u**5\/70 + u**4\/14 + u**3\/21 - 2*u**2\/7 + 16*u. Suppose d(w) = 0. Calculate w.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence mvuu when four letters picked without replacement from {v: 1, u: 6, m: 4}?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence tttm when four letters picked without replacement from {d: 12, m: 1, t: 5}?\nAnswer: 1\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 6\/(-8) + (-16161)\/(-12) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 18 and (-12)\/4 - (3 - 62).\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -113*n + 109*n + 5*p - 23 - 100 = 0, 7*n = -3*p + 102 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -11*u = -12*u + 9. Let g be (-2 + 0)\/((-108)\/u). Let f = -18\/37 - -124\/407. Which is the third biggest value?  (a) 2\/3  (b) f  (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3 + 0 + 5)*(6*j - 2*j + 511 - 101)*(0*j**2 + 4*j**2 - 3*j**2).\nAnswer: 8*j**3 + 820*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-32)\/(-6) - 2\/6. Suppose -g*n + 21 = -44. Suppose 5*y = -72 + 327. Calculate the remainder when y is divided by n.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is one fifth of a litre in millilitres?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is (-189)\/(5292\/(-616))*(-4)\/(-11)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*u**3\/15 + 5012*u**2\/15 - 334*u.\nAnswer: -2*u*(u - 2505)*(u - 1)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 11394 and 162?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: 258673 divided by -325\nAnswer: -258673\/325","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 542470 is divided by 23?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Sort -173, 1, 3, 497, -4 in decreasing order.\nAnswer: 497, 3, 1, -4, -173","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 34971.\nAnswer: 3, 11657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -0.1 - -0.1. Let j = 4923.3 + -4923. Is j less than r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of 2965, 5931, 8897, 11863, 14829?\n\"Answer: 2966*l - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Round 198733000 to the nearest one million.\nAnswer: 199000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let k(d) = -d**2 - 15*d - 7. List the prime factors of k(-11).\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {v: 1, i: 1, m: 1}. What is prob of sequence imm?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: How many micrograms are there in 0.55616 nanograms?\nAnswer: 0.00055616","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*z - 5*g + 5 = -10, -12 = 5*z - 2*g. Let t be ((-15)\/z)\/(-56 - -59). Which is the biggest value?  (a) t  (b) -2\/5  (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-4)\/54)\/(-6*1\/9)?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 582 minutes after 2:46 PM?\nAnswer: 12:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 j and 1 x when three letters picked without replacement from {q: 1, o: 1, v: 2, j: 2, a: 1, x: 2}?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of ((-12)\/8)\/(3\/(-40))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 3\/153*2*3\/1?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 34670 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 73 (base 12) in base 15?\nAnswer: 5c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 90872.\nAnswer: 2, 37, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -84*m*n*p*z**2 - 2*m*n*p*z - m*n - 2*m - 6*n*p*z**2 + 5*n*z**2 + n*z - 4548*p*z wrt z?\nAnswer: -168*m*n*p - 12*n*p + 10*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-2*j + 0*j - 5*j)*(-7 + 3 + 2) + (3*j + j - 2*j)*(1 - 4 + 2) to the form c + z*j and give z.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 3614  (b) -0.5  (c) 0.1523\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 68903611?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"}
{"text":"Question: What is 22233 (base 8) in base 2?\nAnswer: 10010010011011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let y(s) = -7*s**3 + 12*s**2 + 10*s - 6. Let x(f) = -8*f**3 + 13*f**2 + 11*f - 7. Suppose 30*p + 13 = -2*i + 35*p, -2*p = 3*i - 28. Give i*x(h) - 7*y(h).\nAnswer: h**3 - 6*h**2 - 4*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (144\/(-252))\/(2\/(-7) + 0). Is ((-14)\/7 - x) + 512 + -4 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*f**2 - f**4 + 8 - 2*f**2)*(-4 - 1 + 1).\nAnswer: 4*f**4 - 32","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let u(b) be the second derivative of -92 - 19*b - 6*b**3 + 91 + 12*b. Let o(i) = i. What is 30*o(n) + u(n)?\nAnswer: -6*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -4, -94, -1077877?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1 - (8 - (4 + 6 + -4)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -226880194, -226880196, -226880198?\nAnswer: -226880200","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -194.669011 - -153.66899. Let j = 151 - 110. Let x = f + j. What is x rounded to 5 decimal places?\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -14*g*i*x**3 + g*i*x + 2*g*x + i*x**3 - 2*i*x**2 + 10*i*x - 3*i wrt x?\nAnswer: -84*g*i*x + 6*i*x - 4*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -879 - -897. What is the highest common factor of x and 14?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1213 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let m(u) be the first derivative of u**3\/3 + 13*u**2\/2 + 3*u + 89. Calculate m(-13).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of -2.117 and -3.\nAnswer: 6.351","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -4.3022 - 0.0838. Let x = -5.76 - j. Let v = x + 1.58. What is v rounded to two dps?\nAnswer: 0.21","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(p) = -p**3 + 7*p**2 + 4*p. Let i be z(6). Suppose 0 = 4*c - f + 3*f + 46, 0 = -5*c - 3*f - i. Which is smaller: 0 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5 = p - 0. Let m be 180\/50 + 2\/p. Suppose 5*y - 41 = -g, -2*y + m*g + 52 = 2*y. Is y a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 13\/4 in -980\/3, 1\/2, -125, 2\/5?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -115 - i + 68 + 69 - 22.\nAnswer: -i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let y(o) = -o**2 + 6*o + 4. Let r be (1 - 2)\/((-5)\/35). Let n be y(r). Is 0 + (n - -2) + 378 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 243248 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 e and 1 j when three letters picked without replacement from {j: 1, v: 6, e: 2, b: 1, c: 2}?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 150\/600*(3 + -11).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -2  (b) -1  (c) -4  (d) 6\/31\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 170 + -170.216. Let r = 0.316 + n. Which is the nearest to r?  (a) -4  (b) 0.08  (c) -6\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -2 (base 5) to base 8.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from zuuogguoz. Give prob of picking 1 z and 3 u.\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -6 - -3. Let m(t) = t**3 - 6*t**2 + t - 1. Let y be m(6). Let w = b + y. Solve 0 = -4*p - w*g + 18, g = -4*p + 6*g + 25 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 21893 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 30*s - 27*s = -h + 6, 2*s = -5*h + 17. Suppose 4*x - n - 9 = 0, -2*x + 5*n + 8 = -1. Solve -x*f - s = -5 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 1117 + -60. Let v = 9499\/9 - x. Find the common denominator of ((-57)\/(-54) - 1)\/((-6)\/292) and v.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add together -4 and -201.8054.\nAnswer: -205.8054","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -396 = -12*m + 11*m. What is the units digit of m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4225*q - 4*y + 12 = 4226*q, 0 = 4*q + y - 18 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 152072050?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify f**(-3\/16)\/f*f**(1\/10) assuming f is positive.\nAnswer: f**(-87\/80)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -14 + ((-14 - 10) + 6 - -18)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve r + 3*w - 67 = -74, 7*w + 11 = -5*r for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 1077\/91904*-1*6\/(-6)*-4?\nAnswer: -3\/64","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 6 and 1641.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 0 + (-9)\/15 + 1156\/10.\nAnswer: 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 1*(-3)\/(42\/20 - (-54)\/(-90)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -3\/21982 and -33\/203.\nAnswer: 153874","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.07751 rounded to 1 decimal place?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Are -938\/17 and -55 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of -86, -311, -680, -1193, -1850, -2651, -3596?\n\"Answer: -72*a**2 - 9*a - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 96 - 65. Does 13 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 110200 + 1120212002?\nAnswer: 1121022202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between 2101.3041 and -8237?\nAnswer: 10338.3041","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 12212 - 33?\nAnswer: 12124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let k(b) be the third derivative of b**4\/24 - b**2. Let h(q) = -7*q**2 + 3*q. Let n(i) = 9*i**2 - 3*i. Let x(r) = 4*h(r) + 3*n(r). Calculate x(k(j)).\nAnswer: -j**2 + 3*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Expand 4*y**4 + y**4 - 3*y**4 + (y**2 - y**2 - 2*y**3)*(-5*y + 0*y + 4*y) + y**4 + 3*y**2 - 3*y**2 + (-y**4 + y**4 - y**4)*(206 - 163 - 650).\nAnswer: 612*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 67197220*a**3 + 172998936 wrt a?\nAnswer: 201591660*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9*y - 1200 = -24*y. Suppose -8*x - y = -12*x. Is x >= 23?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: 2 * 0.5\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 418 - 22 = 12*c. Solve c - 41 = 2*z for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(u) be the second derivative of -u**4\/12 + u**3\/6 + u**2\/2 + 65*u. Let s(b) = -7*b**2 + 7*b + 6. Determine -6*f(o) + s(o).\nAnswer: -o**2 + o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2*n + n + 4*n**2 + 5*n**2 + 3*n**2.\nAnswer: 12*n**2 - n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 54129?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 407623 to the nearest integer?\nAnswer: 638","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve -10*t + 91 = 101 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 18259 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: Suppose -5*m + 2*o = 11, 2*m - 2*o + 11 = o. Let n(d) = -d**2 - 7*d + 6. Let a be n(-8). Do a and m have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 28 = 5*n - 7. Suppose n*k - 6*k = -7. Does 13 divide (15 + -2)\/(k\/(-28))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 432 (base 7) in base 3?\nAnswer: 22010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (5*b**4 + 9*b - 9*b - b**2)*(11 + 13 - 38)*(14 - 15 + 17)*(-2 + 3 - 2).\nAnswer: 1120*b**4 - 224*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -329*k + 2 - 9 + 7.\nAnswer: -329*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 90187 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Factor -w**4\/8 + 167*w**3\/4 - 26169*w**2\/8 - 35905*w - 92450.\nAnswer: -(w - 172)**2*(w + 5)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (6*(-5 + (sqrt(637) - (sqrt(637) + 2*(2*sqrt(637) + sqrt(637) - sqrt(637)) - sqrt(637))) + sqrt(637) + 1))**2.\nAnswer: 4032*sqrt(13) + 92304","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 2660?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 60 a factor of 51780?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (5 - (6 + -3)) + (-5 - 3).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let l(q) = -1000*q + 37908. What is l(38)?\nAnswer: -92","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:38 AM and 3:20 PM?\nAnswer: 582","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2505*f + 2387*f = 2279386 - 17170868. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of -13886, -27745, -41594, -55433, -69262?\n\"Answer: 5*h**2 - 13874*h - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (3 - 0 - -1)*(-150)\/(-120)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 45*c**2*t - 4*c**2 - 3*c*t - 3*c - t - 4778 with respect to c.\nAnswer: 90*c*t - 8*c - 3*t - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of -146, -963, -3218, -7631, -14922, -25811?\n\"Answer: -120*k**3 + k**2 + 20*k - 47","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 17*955.\nAnswer: 16235","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 34 - 21. Suppose 12*h = s*h - 31. Let n = -29 + h. Solve 3*p = n*u - 0*p - 6, 4*u + 5*p = -10 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((5 + (sqrt(572)\/(sqrt(11) + (sqrt(11) - sqrt(99))))\/((sqrt(16)\/sqrt(2))\/sqrt(2)))*5*-4)**2.\nAnswer: -4000*sqrt(13) + 15200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:31 AM and 5:37 AM?\nAnswer: 186","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (5 + sqrt(272) + 2 - ((sqrt(272) - (sqrt(272) + 2)) + -3)**2)*-3.\nAnswer: -12*sqrt(17) + 54","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is -15 - 1 - (-15 + 8)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 120 and 2060448.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let c(p) = -p**3 + p**2 - 11*p - 10. What is c(6)?\nAnswer: -256","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 7564399?\nAnswer: 521, 14519","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 13*m - 14*m = 0. Suppose -1 = 4*q - 3*n + 1, 5*q + n + 12 = m. What is the third biggest value in -0.1, 5, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (6\/45)\/(1\/3). Let n = -0.4 + 1.4. Let f be (15\/25)\/(6\/(-4)). Which is the nearest to 1\/2?  (a) v  (b) n  (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*n - 10, -5*b + 9362 = -n + 3479. Is 1179 less than b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be ((0 - -1)*1)\/(8\/64). Calculate the highest common divisor of c and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0268433077 to six decimal places.\nAnswer: 0.026843","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 2049?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let t(p) be the third derivative of 5\/12*p**5 + 0 - 11\/336*p**8 + 26*p**2 + 0*p**4 + 0*p**6 + 0*p**7 + 0*p + 0*p**3. Find the third derivative of t(x) wrt x.\nAnswer: -660*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -19576 - -19576.0036611. What is c rounded to 5 decimal places?\nAnswer: 0.00366","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(h) be the second derivative of -h**4\/6 + 2*h. Let x(g) be the second derivative of -5*g**4\/12 + 93*g - 1. What is x(p(k))?\nAnswer: -20*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let k(r) = -r**3 + 9*r**2 - 10*r - 4. Let t be k(7). Solve 5*i - 4 + t = q, 2*q = 10 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*b - 3*b**2 - 3*b)*(-5*b**2 + 6*b**2 - 3*b**2) + 5*b**4 - 3*b**4 - b**2 + 3*b**2 - 3*b**4 + 5*b**4 - b**4.\nAnswer: 9*b**4 + 2*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -5*l*o**2*q - 2115611*l*o**2 + 18*l*o + 3229922*o**2*q wrt q?\nAnswer: -5*l*o**2 + 3229922*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -7*p**3 + 0*p**3 - 2*p**3 - 3*p**3.\nAnswer: -12*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 23\/9 - 7\/3. Let h = -2 - -4. Suppose h = -3*a + 5. Which is smaller: c or a?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 4 a factor of 154576?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -4 + (-28 - -28) + 24 + -3.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -11133*c = -10347*c + 25938 for c.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: -232223213 (base 4) to base 11\nAnswer: -120725","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*o - 12 - 13 = 0. Suppose -1 = o*k - 6, 2*x - k - 5 = 0. Solve 3 - 17 = b + 5*n, x*n + 9 = 0 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 5394448633?\nAnswer: 7, 37, 20827987","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 80985881 to the power of 1\/7, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -2 + 950*n**3 + 150688*n - 93*n**2 - 150688*n wrt n?\nAnswer: 5700","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -1 not equal to 2\/5573?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from hohhoohhxoohooo. Give prob of sequence ooh.\nAnswer: 8\/65","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Factor 54289*v**2 + 22834*v + 2401.\nAnswer: (233*v + 49)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 325*t**4 + 2*t**3 + 80*t - 3 wrt t?\nAnswer: 3900*t**2 + 12*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -4 - -2. Let h = -5 + 5. Let c = 0.5 + h. Sort c, -0.5, m in ascending order.\nAnswer: m, -0.5, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-1 - 0)\/(-5)*3. Suppose 0*u + 2*u = 3*s + 68, 5*u - 120 = 5*s. Let l be -3 - (-2 - (-12)\/s). What is the smallest value in 5, w, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 18606 is divided by 18430?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Expand j + 3*j**3 - j**3 + 0*j**3 + j**2 + (3*j + 0 + 1 + 0*j)*(-5*j - 2*j**2 + 5*j).\nAnswer: -4*j**3 - j**2 + j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 1408685 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 63.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve -249*l = -196*l - 371 for l.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let x(l) = -2*l**2 - 17*l - 27. Let g be x(-6). Solve 2*f + g = 11 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 11001011 + -10?\nAnswer: 11001001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: -1222210210112 (base 3) to base 13\nAnswer: -2b10a5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -42446, -84891, -127336, -169781, -212226, -254671?\nAnswer: -297116","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -334 + 292 + 32 + 36 + q.\nAnswer: q + 26","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Expand -2*m**2 + 13*m - 13*m + (-m + 4*m - 2*m)*(-4*m - 3*m + 3*m) + 5*m**2 - 3*m**2 - 4*m**2 - 4*m**2 - 4*m**2 + 6*m**2 + (-2*m + 5*m - m)*(2*m + 2*m - 2*m).\nAnswer: -6*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 1595952 to the power of 1\/8, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Put 4, -5, -3, 94, 12, 5 in decreasing order.\nAnswer: 94, 12, 5, 4, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let o(t) = t**2. Let y(c) = -c**2 + 3*c**2 - 5*c**2. What is o(y(z))?\nAnswer: 9*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 720 and 252160.\nAnswer: 2269440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -23*n = -120 - 64. Let y(w) = w**3 - 6*w**2 - 16*w - 1. Let t be y(n). Which is greater: t or -32?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: (2 - 1) + 9 + -14 + (0 - 3)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (1 - 1) + 4\/9. Let u = -0.04 + -0.96. Let t = 1.5 + u. Which is the second smallest value?  (a) l  (b) t  (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of 39398, 78725, 117996, 157211, 196370, 235473?\n\"Answer: -28*p**2 + 39411*p + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 1009 + -1009. Which is smaller: 5\/481 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*o - 171 + 174 = 0. Let r(x) = -49*x**3 + x**2 - 2*x + 1. Let y be r(o). Is y bigger than -47?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of -8063, -30296, -52541, -74804, -97091, -119408?\n\"Answer: -u**3 - 22226*u + 14164","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let r(f) = -14*f**3 - f**2 + f. Let v be r(1). Let j = v - -20. Let d = -148 + 151. Is d not equal to j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 342 minutes before 12:02 PM?\nAnswer: 6:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 13\/4 of a millennium in years?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.3, -17\/5, 2\/3, -5 in ascending order.\nAnswer: -5, -17\/5, 0.3, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is (6\/(-9))\/((-24)\/(-369)) - 312\/416?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-16)\/36*450\/(-200)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (1\/(-36)*3)\/((-2786)\/(-3184)).\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 35*q - 11*q. Solve 2*a + 5*u = 1, -5*a = -q*u - 2*u + 12 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 330132?\nAnswer: 2, 3, 11, 41, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -109\/4666626 and 125\/534.\nAnswer: 4666626","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: How many litres are there in 8886.93ml?\nAnswer: 8.88693","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 584 minutes after 7:53 PM?\nAnswer: 5:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 299674468 to the power of 1\/8, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(11) + -4*(sqrt(55)\/sqrt(5) + sqrt(11)) - sqrt(44)\/sqrt(4)*1) + -3*(sqrt(121) + (sqrt(121) - (sqrt(121) + sqrt(121)*-1)))\/sqrt(11))**2.\nAnswer: 2156","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(220)\/(sqrt(11) - 5*sqrt(99)))\/((sqrt(256) - (sqrt(256) - 4*(sqrt(256) + sqrt(256) + sqrt(256)*-2)) - sqrt(256)) + sqrt(256) + sqrt(256)).\nAnswer: -sqrt(5)\/112","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 6753, 29438, 67253, 120198, 188273, 271478?\nAnswer: 369813","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from lllhlklklkhhlkkl. What is prob of picking 1 l, 1 k, and 1 h?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (w**(-1\/2)\/((w*w**0)\/w))**(-18)\/((w*w*w*w\/(w*w**6))\/w**(-2\/15))**27 assuming w is positive.\nAnswer: w**(432\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 30319 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 65\/12 and 105\/152.\nAnswer: 456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*v + 5*m = -16, 4*m = -v - v - 14. Suppose 4*l - 9 = v*l. What is the units digit of 2\/(-8) + l\/4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 47.7 + -43.7. Put 19, u, -3, -0.1 in increasing order.\nAnswer: -3, -0.1, u, 19","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 15907 = -2*y - 3*i + 15935, -5*y + 44 = i for y.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Does 350 divide 10335150?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -111 - 304230100?\nAnswer: -304230211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve i + 6 = 2*f, -5*f - i + 40347 = 40318 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -35 + 7 = 4*a. Let m(x) = x**2 - 1. List the prime factors of m(a).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2203402 (base 5) in base 2?\nAnswer: 1001010001011001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is three fifths of a decade in years?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -2\/7, 5, 4, 0.06, -4?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 3813 + -2148. List the prime factors of t.\nAnswer: 3, 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -6, 5, 1435 in decreasing order.\nAnswer: 1435, 5, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let n(v) = -6*v. Let d(r) = -r - 2. Let k(f) = 3*f + 5. Let y(m) = 5*d(m) + 2*k(m). Give -4*n(j) - 21*y(j).\nAnswer: 3*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:05 PM and 11:56 PM?\nAnswer: 291","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-3498)\/(-1908))\/(154\/112)?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(p) = -p**3 - 2*p**2 + 3*p - 6. Let v be n(4). Let x be v\/(-40) - (-6)\/8. What is the greatest common divisor of 1 and x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -460 = 128*d - 126*d - 4*c, 2*d = -5*c - 460. What is the units digit of ((-1564)\/d)\/(4\/610)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(c) = c**3 - 3*c**2 + 2*c - 3. Let f(l) = -6*l**3 + 17*l**2 - 12*l + 17. Determine 6*f(i) + 34*s(i).\nAnswer: -2*i**3 - 4*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-8)\/(-22) - (66\/484)\/(7\/(-7)).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (-9)\/15 + (-2)\/5. Let c be (-2)\/132 - b\/(-6). Which is greater: 1 or c?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -181\/15600 and -97\/18200.\nAnswer: 109200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let a(b) = -18*b**3 + 8*b**2 - 7*b + 6. Let l be a(5). Let w be 5\/(-6) + l\/(-2106). What is the smallest value in -0.07, w, 0?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(i) = 11*i**2 - 5*i + 17. Let w(n) = 5*n**2 - 2*n + 8. Let o(g) = 2*r(g) - 5*w(g). Differentiate o(x) wrt x.\nAnswer: -6*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(h) = -h + 2. Let y(b) = 13*b - 97. Let f be y(7). Let c(w) be the third derivative of w**4\/12 - 2*w**3\/3 + 5*w**2 + 2. Determine f*c(j) - 11*t(j).\nAnswer: -j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(612) + 1 + -3 + (sqrt(187) + 2*sqrt(187)*3)\/sqrt(11).\nAnswer: -2 + 13*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 4 - (-6 + -2 + 8). Solve m*w = -2*d + 20, -5 = -d + w - 2*w for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(j) = 1325*j + 11936. Give o(-9).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*v + 2*o = 4*v + 22, 2*v + 19 = -o. Let d = v - -20. Calculate the lowest common multiple of 20 and d.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (5*(sqrt(190) + (sqrt(190)*-1 - sqrt(190)))*-3*-6)\/((sqrt(7260) - -1*sqrt(7260) - sqrt(7260))\/((sqrt(48)\/sqrt(2) + sqrt(24))\/sqrt(4))).\nAnswer: -180*sqrt(19)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 197120 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 167179 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from eyyeee. Give prob of sequence ey.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let m(p) = -30*p**2 - 10*p + 5. Let l(n) = 30*n**2 + 9*n - 5. Let g(v) = 5*l(v) + 4*m(v). What is the tens digit of g(1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2*6*((4 + (sqrt(1100) + (sqrt(1100) + 1)*-4 - sqrt(1100)) + sqrt(1100))**2 + 0).\nAnswer: 118800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -380 + 380.323. Let j = s + -0.223. Which is the nearest to -2?  (a) 1\/5  (b) -12\/7  (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(x) = -5739*x. Let n(u) = 20*u. Give t(n(l)).\nAnswer: -114780*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Divide 12462406 by 15.\nAnswer: 12462406\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 1, 58, 1\/9, -0.5, -5, 64?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -2310 + 2450. Sort 7, 3, w, -2 in descending order.\nAnswer: w, 7, 3, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4, 12, 1.9, -0.5, -0.1 in increasing order.\nAnswer: -4, -0.5, -0.1, 1.9, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 v and 1 e when two letters picked without replacement from eveeevvevee.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 50 + -46. Solve 0*x = r*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -2.296818 to two dps.\nAnswer: -2.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let h(p) be the first derivative of -1\/4*p**4 + 0*p**3 + 0*p - 2 + 0*p**2. Determine d so that h(d) = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -3*k + 5*z + 8, 3 = 5*k + 4*z - 2*z for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 0 - -4. Is (122 - h)*(-2)\/(-4) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 132.349 - -0.451. Let s = -0.056 - -146.056. Let z = s - j. Round z to zero decimal places.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) 130  (b) 13  (c) -2\/3  (d) 2\/37  (e) 1.7  (f) 5\/8\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -11*v**2 + 78*v - 78*v.\nAnswer: -11*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let a(h) = -4*h**3 + h**2 - 25*h - 183. What is the thousands digit of a(-17)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 4 a factor of 6483900?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 17\/(204\/24) - 9.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 4093413 to the nearest integer?\nAnswer: 160","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Does 385 divide 4038910?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 7*d*h*i - 2*d*i + 5*d + 55*h**2*i - 74*h**2 wrt i?\nAnswer: 7*d*h - 2*d + 55*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (21\/(-70))\/((-18)\/15)*44.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 432 and 72.\nAnswer: 432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -10 - -6. List the prime factors of f + 225\/3 + 3.\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 32 - 31. Let j = r + -1.4. Which is the smallest value?  (a) -1\/6  (b) j  (c) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 96 and 360?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 s when two letters picked without replacement from {g: 4, w: 2, s: 8}.\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 4\/6 - (-8)\/6. Let i be (2\/y - 0)*-4. Is (22\/i)\/(4\/(-8)) a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-11 - 0) + 6 + -10 + 6 - (46 + -58).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*b - 116 = 2*b + 2*n, -3*n = 5*b - 101. Let j be (-11)\/b + (2 - 1). Factor -j*p**3 + 1\/2 + 1\/2*p - 1\/2*p**2.\nAnswer: -(p - 1)*(p + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 38 + -38.4. Suppose -4*h - 3 = 2*d - d, -5*h = -5*d + 35. Which is the third smallest value?  (a) -4  (b) t  (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(w) = w**3 - 15*w**2 + 24*w - 23. What is the units digit of y(14)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(k) = -41*k. What is d(1)?\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: How many seconds are there in two fifteenths of a hour?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (3*(-5 + sqrt(147)*1 + sqrt(147) + sqrt(147) + (-1 + sqrt(147))*2 + -5*(-2 + sqrt(147))*-5)*5*-1)**2.\nAnswer: -5386500*sqrt(3) + 30498525","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((z**(-5\/2)\/(z**(-8)\/z))\/(z**(2\/9)*z)**(25\/3))**(-12))**(43\/5) assuming z is positive.\nAnswer: z**(17114\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let n(v) = -v + 9. Suppose 5*g = 5 + 20. Let a be n(g). Suppose 7 - 27 = -5*f, a*f + 10 = m. What is the units digit of m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(y) = 5*y**2 - 7. Let w(x) = 2*x**2 - 3. Let k(s) = -3*t(s) + 7*w(s). Let v(o) = -31*o. Give k(v(b)).\nAnswer: -961*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 5\/(-10) + 7 + (-243)\/36. Put -0.8, 3, h, -4 in ascending order.\nAnswer: -4, -0.8, h, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -61 - -55. Suppose 5*g = 4*g - 3*y - 16, g + 5*y + 22 = 0. Which is smaller: r or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -8809, -8807, -8805?\nAnswer: -8803","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {n: 2, z: 9, h: 6, i: 2}. What is prob of picking 1 h and 2 i?\nAnswer: 2\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 420 minutes before 7:54 PM?\nAnswer: 12:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 27\/(-18)*6994\/(-3) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of 130, 260, 390, 520?\n\"Answer: 130*n","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 70536 a multiple of 255?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 42 and 7518.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 8909*b**2 - 4460*b**2 - 6525*b**3 - 4451*b**2.\nAnswer: -6525*b**3 - 2*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Expand -8 + 4*f**5 + 8 + (720 - 720 - 13*f**3)*(-1 + 1 - 3*f**2).\nAnswer: 43*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 46\/31 or 69.6?\nAnswer: 46\/31","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve 381*n = 393*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 8809 + -8803. What is the least common multiple of 150 and v?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -0.06504 - -7.06504. What is the third smallest value in -18, 1\/3, 5, c, 0.2?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 11 + 17 + -32 + -11 + 0?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 2 - 2.1. Let q = -1749.015 + 1749.1150007. Let h = z + q. What is h rounded to seven decimal places?\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -10*v + 5*v. Suppose 2*a + 9 = b - a, a + 1 = v. Let k = 510 - 444. What is the highest common factor of k and b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 32\/(-10)*(-5)\/2. Let q(c) = 40*c**2 + 6*c - 9. Let j be q(f). Let u = 18164\/7 - j. Calculate the common denominator of u and -9\/4.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(i) = -22*i - 26. Let p be t(-3). Suppose 2*m + 444 = -p*z + 41*z, -3*z = 4*m - 1352. What is the hundreds digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence uyuu when four letters picked without replacement from {u: 4, y: 3}.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 32837 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Expand -1 + 2*b**3 + 1 + (b**2 - 1 + 1)*(-3*b - b - b) + 7*b**3 - 9*b**3 - 8*b**3.\nAnswer: -13*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -665\/18 + 49\/9. What is the common denominator of -29\/3 and u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in 3\/8 of a century?\nAnswer: 450","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 35 - 34. Let a(r) = -2*r - 3. Let p(g) = 1. Calculate q*a(w) + 2*p(w).\nAnswer: -2*w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*a - 3*a - 7 = 5*r, 5*r = -5*a + 25. Suppose -2*p = -a*d - 14, 3*d = 4*d + 3. Let t be p\/5 - (-45)\/25. Solve o - t = 2*o for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -170 = 13*t + 77. Let i = -31 - t. Let m(f) = -f - 9. What is m(i)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millimeters are there in 7\/2 of a meter?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let j be ((-3)\/2)\/(3\/(-4)). Let h(r) = -4*r + 1 - 2 + r + j*r. What is the remainder when 7 is divided by h(-4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of 11680, 11503, 11324, 11143, 10960, 10775, 10588?\n\"Answer: -w**2 - 174*w + 11855","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 127.3211 times -40?\nAnswer: -5092.844","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 77 and 110.\nAnswer: 770","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let n(i) = -i**3 + 4*i**2 - 5*i + 1. Calculate n(2).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Put 20\/3, 0.3, 1 in decreasing order.\nAnswer: 20\/3, 1, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 48 and 480?\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*o + 3*o = 10. Let q be (-2)\/((1 + -3)\/o). What is the third derivative of 13*m**3 + 16*m**2 + 16*m**2 - 19*m**q wrt m?\nAnswer: 78","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 293 minutes before 7:23 AM?\nAnswer: 2:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 435510 - 3?\nAnswer: 435503","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Round 21.5 to the nearest ten.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let y be -1 + (-26)\/4*-3448. Suppose 4172 + 88294 = 6*z. Let w = y - z. Round w to the nearest ten thousand.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 276979 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let k(m) = 32240875*m**2 - 41826*m. Let b(p) = -6938*p**2 + 9*p. Give -13942*b(h) - 3*k(h).\nAnswer: 6971*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*d + 2*t - 17 = -2, -4*d - 20 = t. Let h = -11 + 10.99. Let r = h + 0.41. What is the closest to 2\/11 in d, r, 4?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 36 = -2*v - 5*f, -5*v + 2 - 22 = -5*f. Let g = v + 8. Let t be ((-84)\/8)\/(1\/(-2)). Solve -4*n + d + t = g, -n = n + 2*d + 2 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 16.72179*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*v**3 - 1110*v**2 + 11919*v - 25848.\nAnswer: 3*(v - 359)*(v - 8)*(v - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Put -11, 0, 2137.88 in decreasing order.\nAnswer: 2137.88, 0, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let a(z) = 4*z**2 - 2*z. Let j(u) = -5*u**2 + u + 1. Let d(m) = 4*a(m) + 3*j(m). Let s be d(3). Sort 1, -2, 5, s in ascending order.\nAnswer: s, -2, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.00035337841 to seven dps.\nAnswer: -0.0003534","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*g - 77 = -3*o - 3*g, 5*g = -3*o + 47. Let m = o + -21. Suppose -130 = -w - 4*c + 6, c - 419 = -m*w. Is 35 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {l: 6, i: 4}. What is prob of sequence iili?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence kuq when three letters picked without replacement from ikkubqkkuqukukqqwwwq.\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 1 + -4. Let m = 15 - 20. Put 0, m, c in descending order.\nAnswer: 0, c, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3*(1 + sqrt(396) + sqrt(396)*2 - ((sqrt(11) + (sqrt(77) - -2*sqrt(77) - sqrt(77))\/sqrt(7) - sqrt(11)) + 0))**2 + -5.\nAnswer: -8456 - 96*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 25*b - 26*b + 5 = 0. Suppose b*u - 35 = -20. Let s = 21 - u. Calculate the remainder when 52 is divided by s.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 2220 - 0?\nAnswer: 2220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve 9138*t = 9130*t - 8, -3*t + 16 + 8 = -3*o for o.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let q(g) = g**3 + 5*g**2 - 5. Let o be q(-5). What is the smallest value in 4, -0.5, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 24 + -15. Let q be (-4)\/(12\/o) - (9 + -16). Suppose -5*u + 3*z = -11, 14 = -0*u + 4*u - 5*z. Which is greater: u or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 206495?\nAnswer: 5, 41299","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1*(sqrt(1200) + -2*(sqrt(1200) - (0 + sqrt(1200))) + (1 + sqrt(1200))*-4))**2.\nAnswer: 480*sqrt(3) + 10816","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 8347 = 1762*n - 179*n + 49505 for n.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of -23011, -47292, -71573?\n\"Answer: -24281*k + 1270","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 89361 less than 1271?\nAnswer: -88090","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let u(v) = -925*v**2 + 17653*v - 44. What is u(19)?\nAnswer: 1438","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 133596, 267212, 400828, 534444, 668060?\nAnswer: 801676","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 664253 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 9 and 2367.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/(-9)*9\/1?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(j) = j**2 + j + 42. Calculate the remainder when z(0) is divided by 28.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 340, 357, 364, 355, 324, 265, 172?\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (2\/20)\/(2\/8). Let z be 28\/60*48\/42*15\/(-10). Let c = -2\/5 - -17\/30. Sort 0.1, p, c, z in descending order.\nAnswer: p, c, 0.1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millimeters are there in thirty-one fifths of a centimeter?\nAnswer: 62","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 194, -3\/2, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 5 - 3. Let k be (m\/3)\/((-2)\/(-6)). Let q = -0.439 - 2.561. Which is the closest to k?  (a) q  (b) 3  (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (125\/(-20))\/(41925\/(-308568))?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand 14*s**3 - 2*s**5 - 2*s + 10 - 16*s**3 - 12 + (3*s**2 - 6*s**2 + s**2)*(3 + 2*s**3 - 3) + 5*s**5 + 2*s**5 - 5*s**5.\nAnswer: -4*s**5 - 2*s**3 - 2*s - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/40 of a kilometer in meters?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1705*r**3 - 873*r**3 - 835*r**3.\nAnswer: -3*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2, -14, -435.\nAnswer: -435, -14, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: 7060866 * 6\nAnswer: 42365196","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of (-236)\/(-6) - 4\/(-6)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 5422?\nAnswer: 2, 2711","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-26*(-432)\/(-4680))\/((-6)\/(-10)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 2131*o*w + 43273*o - 666031501*w wrt o.\nAnswer: 2131*w + 43273","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -8399*s + 47941 - 47941 - 10*s**2 + 8399*s.\nAnswer: -10*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let m(c) = 2*c**2. Let b(j) = 8*j + 6*j - 4*j + 33*j. Give b(m(v)).\nAnswer: 86*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let l(t) = t**2. Let a(q) = q**3 - 8*q**2 + 3*q - 16. Let w be a(8). Let i be w\/36 - 140\/(-18). Let p(v) = -24 - i*v**2 - 28 + 52. What is l(p(k))?\nAnswer: 64*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 298.4 - 298.42512. Round f to 2 dps.\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(t) = 8*t + 214. Determine y(-27).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-60)\/8)\/(-5)*16\/120.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.003296616 to 4 decimal places.\nAnswer: -0.0033","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 69\/10 and -67\/956?\nAnswer: 4780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 33*h = 38*h - 25. Let g = 0 + h. What is r in 0 + 2\/7*r**3 + 0*r**2 + 0*r + 0*r**4 - 2\/7*r**g = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1465738 is divided by 51?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -11 - -7. Let p(c) be the second derivative of -1\/20*c**5 - 1\/3*c**4 + 2*c + 0 + 0*c**3 + 1\/2*c**2. Determine p(n).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7 - 35 = -3*n. Let i = 18 - n. Suppose -t = -i*t + 18. Solve j - 16 = 3*p, 2*p + 0*p + t = -4*j for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 560\/(-96)*6\/(-28).\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 6116?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2702*u - 48230 = 84168 for u.\nAnswer: -49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let y(i) = i**2 + 4382*i + 233703. What is y(-54)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2 - 2 + 2*p)*(-1 + 2*p - 1 + 5*p) + (2*p - 3 + 3)*(0*p + p + p).\nAnswer: 18*p**2 - 4*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*j - 3*a - 0*a - 15, 0 = -2*j + a + 5. Suppose -i + j*i = 0. Solve -3*t - t - 4 = i for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of 22, 43, 62, 73, 70, 47, -2, -83?\n\"Answer: -c**3 + 5*c**2 + 13*c + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let p(o) = 5*o**3 + 21*o**2 + 13*o + 27. Let f(s) = 4*s**3 + 20*s**2 + 14*s + 26. Let z(j) = -4*f(j) + 3*p(j). What is z(-16)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 7343.9*156\nAnswer: 1145648.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is (-40)\/((-160)\/8)*8?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*u = -36, 15*n - 56057 = 11*n + 5*u. What is the ten thousands digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 4957?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 133535b - -1?\nAnswer: 1335360","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: -15657408 divided by -884\nAnswer: 17712","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (16\/12)\/4 + 253\/33. Solve -a = 4*h - 5*t - 0, 2 = -h + t for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*r = 2*n - 3*n + 4104, -6*n + 15*n = 0. Calculate the highest common divisor of r and 351.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 20 - -2. Suppose 0 = -a + 2. Suppose -a = -h - 0*h - 2*i, 0 = -5*i. Solve r = -2*y - 4*z, -3*y - h*z = -4*z + 9 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 191462?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: 4 divided by 237225\nAnswer: 4\/237225","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve 14*a - 12*a - 8*a - a = 217 for a.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*p + 0*p - 6 = 0. Let l be 4\/3*(-6)\/(-4). Factor -2*x**2 + l*x**p - x**3 + x.\nAnswer: -x*(x - 1)*(x + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(a) = -a + 2. Determine h(-5).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let l(w) = -w**3 - 18*w**2 + 276*w + 43. Calculate l(10).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -7.4?  (a) 1  (b) 2\/31  (c) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*y - i = -0*i - 99, -5*y + 95 = 5*i. What is the tens digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 947, 952, 969, 1004, 1063, 1152, 1277, 1444?\nAnswer: 1659","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -1070 + 1073. Solve i*b = -1 - 5 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -18 - -30. Let z be (-1719)\/(-21) - 11 - 12\/14. What is the units digit of (z\/3)\/(i\/18)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -2033 - -2012020021?\nAnswer: 2012011322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let q(t) = t**3 - 4*t**2 - 2*t - 3. Suppose -c + 13 = u, 0*c + 49 = 4*u + c. Let s be (-2)\/6*-1*u. Give q(s).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 266 is divided by 85?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*l = 4*l + 28. Suppose 3940 = -l*c + 24*c. What are the prime factors of c?\nAnswer: 2, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 3679, 14671, 32961, 58555, 91459, 131679?\nAnswer: 179221","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 379.172 rounded to the nearest 10?\nAnswer: 380","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve 673*j - 36 = 655*j for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (n**5*n*n*n*n\/(n\/n**(-1\/3))*n)**(3\/29)\/((n**(-1\/3)*n**9\/n*n)\/(n\/n**(-1))**26) assuming n is positive.\nAnswer: n**(3848\/87)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let a(g) = -19*g. What are the prime factors of a(-8)?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 325499 divided by 4?\nAnswer: 325499\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 21 and 50526.\nAnswer: 50526","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: -7 divided by -1574\nAnswer: 7\/1574","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve -277 = 3*y - 280, 2*i - 3*y = -13 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of -1240, -2095, -2950, -3805?\n\"Answer: -855*s - 385","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -1 - -5. Suppose 0 = -q + i + 1. Suppose -4 + q = n. What is the units digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many grams are there in 9.424404 nanograms?\nAnswer: 0.000000009424404","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 26*c + c = -c + 56 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.8564852nm in kilometers?\nAnswer: 0.0000000000008564852","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -2\/7 in 0.05, 3, -6, 1\/4, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -2710 + 13842\/5. Let x = i + -2074\/35. Sort x, 2\/7, -0.3 in decreasing order.\nAnswer: 2\/7, -0.3, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -131410 divided by -17?\nAnswer: 7730","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-1)\/(-13) + (-2700668)\/(-2756). What is the highest common divisor of k and 154?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 107841373 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let s(a) = -a**3 - a - 15. Let x be s(0). Let i = x + 44. What are the prime factors of i?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 282 a factor of 4028908338?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 47\/444051 and -13\/164?\nAnswer: 72824364","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(78)\/(sqrt(324)\/sqrt(6)) + (-5*(-1*sqrt(208) - sqrt(208)))**2 + -2.\nAnswer: sqrt(13)\/3 + 20798","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 7365?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 323 is divided by 288?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-3*sqrt(504))\/sqrt(8))\/sqrt(9).\nAnswer: -3*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, 3, -2, -112588 in descending order.\nAnswer: 3, -2, -5, -112588","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 27\/2 of a litre in millilitres?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 424 minutes before 10:40 AM?\nAnswer: 3:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((r\/(r\/r**(-3)))**(-1\/2))**27)**(-16) assuming r is positive.\nAnswer: r**(-648)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.1?  (a) 2  (b) -465  (c) 0  (d) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let t(y) = -4*y**3 - 3*y**2 + 5*y - 7. Let x(h) = 7*h**3 + 6*h**2 - 11*h + 14. Let f(c) = -7*t(c) - 3*x(c). What is the second derivative of f(a) wrt a?\nAnswer: 42*a + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(q) = -q**2 + 4*q + 5. Let z(l) = -l**3 - 14*l**2 - 12*l + 18. Let o be z(-13). Determine f(o).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(p) be the first derivative of p**2 + 1. Let b(s) = -42 + 2*s + 42. Give b(j(f)).\nAnswer: 4*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Round 45215422 to the nearest 1000000.\nAnswer: 45000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Express -l**2 + 36 + 52*l**4 - 16 + 42*l**3 - 16 + 2*l - 43*l**3 in the form x*l**2 + y + t*l**3 + i*l**4 + o*l and give o.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let y(k) = -69*k**3 + 5*k**2 + 5*k - 6. Let a(f) = 37*f**3 - 3*f**2 - 2*f + 3. Determine 5*a(w) + 2*y(w).\nAnswer: 47*w**3 - 5*w**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -334 or -308?\nAnswer: -334","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let o(q) = -2*q. Let c(b) = -511*b**2 - 2*b - 415. What is c(o(a))?\nAnswer: -2044*a**2 + 4*a - 415","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: How many decades are there in fourty-three halves of a century?\nAnswer: 215","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let i(f) = f**2 + 10*f - 1. Let b(u) = u**2 + 11*u - 2. Let z(q) = -4*b(q) + 5*i(q). Let h be (-20)\/(-30)*42\/(-4). What is the units digit of z(h)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(z) = 117*z**2 + 12*z + 28. Is r(13) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(f) = 3*f + 33. Give i(-10).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 519 - 511. Let z be (n - 3 - -4)\/3. Let q = 0.1 - 0.1. Put 2\/9, z, -2, q in descending order.\nAnswer: z, 2\/9, q, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 374 + -206. Calculate the remainder when x is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 269 = 11*s + 181 for s.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -7254 divided by 139.\nAnswer: -7254\/139","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 207567195.\nAnswer: 3, 5, 11, 17, 73999","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(1584)*1)**2 + sqrt(1584) + sqrt(1100))*4*-4.\nAnswer: -25344 - 352*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Do 348 and 24\/5 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 15 - (-4 + (-7 - -9)) - 8.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -98 in 3, 1605, 37?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 28.44 + 4.\nAnswer: 32.44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 20146604*c - 12051*c**2 + 12042*c**2 - 20146604*c.\nAnswer: -9*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2*u + 6*u - 11*u - 66*u.\nAnswer: -73*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 v and 2 j when three letters picked without replacement from {j: 3, v: 4}?\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence mi when two letters picked without replacement from {e: 11, m: 1, i: 7}.\nAnswer: 7\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-1 - 1 + 1)*(0*a - 3*a + a) - 1 + 1 + 2*a + (-3 - 1 + 1)*(-a + 2*a + a) to k*a + m and give k.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let 346*z**5 - 50174*z**4 + 815410*z**3 - 3010970*z**2 - 3832196*z + 44704 = 0. What is z?\nAnswer: -1, 2\/173, 8, 11, 127","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {o: 3, j: 4, u: 1, f: 4, e: 6, r: 2}. Give prob of sequence rruo.\nAnswer: 1\/19380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Put 1, 2, 3, -1 in descending order.\nAnswer: 3, 2, 1, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 4731584 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 46 + -32. Let s = 13794 + -13791. Suppose 4*y - 11 = s*g - 0, d = 4*y - 2*g. Solve 4*w + 0*a + 26 = y*a, a = 2 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 57, 43, 21, -9?\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 109334 is divided by 3770?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: -23.8422 - 0.0270489685\nAnswer: -23.8692489685","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 2\/5?  (a) 0  (b) -2  (c) -0.2  (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Express (-1 + 1 + 6*d)*(1 + 2 + 2*d - 2 + (2 + 3 - 1)*(64 - 64 + 11*d)) in the form w + y*d**2 + q*d and give q.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 366 + -357. Factor 51*m + 7*m**2 - 26*m**2 + t*m**2 - 800 + 8*m**2 + 29*m.\nAnswer: -2*(m - 20)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 16*j - 98205 = j. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 135758 is divided by 27112?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1*(-5*sqrt(2880)*-1)\/(-3*sqrt(250)*-3).\nAnswer: 4*sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 898*(0 + 2 + -3). Let j = 959 - w. Suppose -j + 7857 = -3*n. Round n to the nearest ten thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose z - 2*g - 2 = -3*g, 0 = -3*g + 12. Let r(k) = -3*k + 2. Let o(u) = -u - 1. What is z*o(y) - r(y)?\nAnswer: 5*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -73\/36 and -121\/954.\nAnswer: 1908","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 2558339332?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 0 - 5 - 16*k + 7 to the form n + i*k and give n.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let s(u) = -28*u - 16. Determine s(0).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Does 8 divide 326791740?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let v(g) be the third derivative of g**6\/120 + g**5\/12 + g**4\/4 - g**3\/3 - 745*g**2. Suppose -2*q + 1 = 9. What is v(q)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -3627, -3631, -3635, -3639, -3643?\nAnswer: -3647","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let y(f) = f + 2. Suppose -56 = -5*l - 31. Let u(q) = 2*q + 3. What is l*y(g) - 4*u(g)?\nAnswer: -3*g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve -81757764*s**5 - 817866984*s**4 + 5147845436*s**3 + 52997257184*s**2 + 187511040*s + 165888 = 0.\nAnswer: -9, -8\/4521, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -36.1 + 192. Let z = p + -156. Are z and -4.1 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find s, given that -11340*s**3 + 601015*s**2 - 4082135*s - 1800 = 0.\nAnswer: -1\/2268, 8, 45","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5 + (3*sqrt(187)*-1)\/(sqrt(1100)*1).\nAnswer: -5 - 3*sqrt(17)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let r(j) = -3*j**2. Let h(k) = 8*k + 16. Let u be h(8). Let a be u\/56 - (-3)\/(-7). Let q(m) = a - 4 + 3 - m. What is q(r(y))?\nAnswer: 3*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*t = 5*v - 5, 0*t - 4 = -3*v + t. Let y(j) = -j**2 + 7*j - 2. Let o = 9 + -3. Let r be y(o). Sort -4, v, r in decreasing order.\nAnswer: r, v, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 8\/16*((-8)\/2 - -4). Find r, given that 9\/2*r**3 + l*r + 3*r**2 + 3\/2*r**4 + 0 = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 32*a - 5*a + 23*a**4 - 8*a**4 wrt a?\nAnswer: 180*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 10396022?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is -1\/3054 not equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -366.56 + 368. Which is the closest to 1\/4?  (a) 5  (b) 0  (c) -1  (d) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 28197167 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*w = -4*n + 122, 5 = 5*n + 10. Is 22 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(g) be the second derivative of -g**5\/5 + 16*g**4\/3 - 56*g**3\/3 - 89*g. Factor q(m).\nAnswer: -4*m*(m - 14)*(m - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8 = -117*c + 115*c. Find s such that 0*s + 0 + 1\/2*s**c + s**3 + 1\/2*s**2 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 2\/(-2)*-4 + -1. Suppose k*n - 4*i - 138 = -i, 0 = i + 5. List the prime factors of n.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 3823, 3821, 3819, 3817, 3815?\nAnswer: 3813","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let v(o) = -o**3 + 9*o**2 + 2*o - 2. What is v(9)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-210)\/(-240)*1\/(31\/(-74964)). Let l = r + 2116. Find the common denominator of l and -37\/8.\nAnswer: 248","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(n) = -n + 17. Let i be d(11). Suppose -14 = -5*v + i. Let s(t) = -t**3 - 7*t**2 + 9*t + 9. Let f be s(-8). Solve r + f = v for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 4410 and 15680?\nAnswer: 490","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*g - g + 2*g)*(-1 + 1 - 3)*(2 - g**2 - 2).\nAnswer: 3*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let c(o) = 96*o**2 - 10*o - 2. What is the remainder when c(-2) is divided by 15?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*v + 12 = -u, 4*v - 5*u - 20 = -2*u. What is the greatest common divisor of 1 and v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(n) = 75*n + 4575. Determine m(-61).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is (((-465)\/65)\/1 - (-84)\/12) + (-20)\/(-975)?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify i*i**(-1\/19)*i\/((i*(i**(1\/4)*i)\/i)\/i) assuming i is positive.\nAnswer: i**(129\/76)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 3394*b**6 - 1495*b**2?\nAnswer: 407280*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 315 and 2583.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 376211.\nAnswer: 11, 23, 1487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is -12 bigger than -4694\/427?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 b and 1 q when two letters picked without replacement from {o: 3, q: 1, f: 2, w: 2, s: 1, b: 3}.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 5\/28 in -3, -0.2912, -10.7?\nAnswer: -0.2912","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 690815460 rounded to the nearest 1000000?\nAnswer: 691000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 24\/(9\/6 - 0). Let p be (-2*1)\/(513\/(-72) - -7). Let j = p - g. Which is smaller: -1 or j?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 346776991 to the power of 1\/2, to the nearest integer?\nAnswer: 18622","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 144187348 to the nearest integer?\nAnswer: 524","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 1600 divided by -64?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Put together 28 and 0.02.\nAnswer: 28.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -23555 and -21?\nAnswer: 494655","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2*b + 0*b - 3*b - 4*b**2 + 3*b.\nAnswer: -4*b**2 + 2*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:34 PM and 4:23 AM?\nAnswer: 289","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2110*o - 649*o + 27759 = 0 for o.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let g(r) = -r**3 - 4*r**2 + 8*r + 6. Let u(d) = 2*d**2 - 4*d + 4. Let l be u(2). Suppose -20 = 4*k + l. Is g(k) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2, 2, -940, -5, 4.\nAnswer: -940, -5, -2, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Divide -130944 by -8184.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -5.863 + 6.36. Let p = s + -1.176. Let n = p - 0.151. What is n rounded to one decimal place?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -4*h**2 - 36519*h + 881406.\nAnswer: -8*h - 36519","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Sort 896, -1, 0, -2304 in descending order.\nAnswer: 896, 0, -1, -2304","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*x + 5*j + 0 = 25, 4*x - 4*j - 12 = 0. Let n = x - -1. Find r such that -r**3 + 9*r**n - r**3 - 5*r**4 - r**5 - r**5 = 0.\nAnswer: -2\/7, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(i) be the third derivative of i**4\/3 + 3*i**3\/2 + 3*i**2. What is the derivative of x(d) wrt d?\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 1134011?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*g**2 + 19784*g.\nAnswer: -4*g*(g - 4946)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -12 - (11 - (0 + -16 + 11) - 41).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 q when two letters picked without replacement from ssqsnsqnssqsqs.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0 in 125, 4, 3, 0.04?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 162*a - 3984255 + 603153 = 0. Is 27 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence wwe when three letters picked without replacement from zoezwowjzw.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve -7*g + 110 = 3*n + 124, 3*g = 4*n - 6 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let u(w) = -26*w. Suppose c + 5*d + 10 = 0, 4*c - d = -3*d + 50. Let t(g) = c*g - 6*g - 10*g. Calculate u(t(p)).\nAnswer: 26*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 18\/201133 and 145\/12.\nAnswer: 2413596","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 0.44 + -20.44. Let w = s + 19.9. Which is the third smallest value?  (a) -5  (b) w  (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3*1*((((sqrt(72) - sqrt(72)*1)*-5)**2 + -3 + (sqrt(72) - sqrt(72)*-2))*5 + -3).\nAnswer: -54 + 270*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-4*(3*-2*sqrt(833) + sqrt(833)) + -4*(sqrt(119) - 5*(sqrt(119)*2 - sqrt(119)))\/sqrt(7))**2.\nAnswer: 413712","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: -3893 * 15\nAnswer: -58395","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*g - 4*y - 168 = 0, 5*y - 149 - 81 = -3*g. Suppose -c = -4*u + c + g, -3*c = 0. What is the remainder when 31 is divided by u?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(n) = n**2 - 21*n + 14. Determine o(15).\nAnswer: -76","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 14 from -13792725902.\nAnswer: -13792725916","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let y(x) = -7*x**2 + 4. Let v(u) be the second derivative of 1\/12*u**4 - 1\/2*u**2 + 0*u**3 - 3*u + 0. What is -6*v(w) - y(w)?\nAnswer: w**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 488*r + 4*r**2 + 485*r + 488*r - 127 - 1459*r to j + k*r**2 + o*r and give j.\nAnswer: -127","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 1\/((4\/(-2))\/10).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -4 + 3. Suppose 81 = -0*n + 3*n. Let b = a + n. Is 10 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*u - 4 = -u, 0 = -2*x + 4*u + 254. Solve 5*s = -x + 105 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -v + 173 = 29*z, -295 = -10*v - 428*z + 425*z for v.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*u + 52 = -176. List the prime factors of u.\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*k - 30 + 10 = -2*v, -3*k - 12 = -2*v for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 6*v - v - 32*v + 5*v + 4*v + 17*v.\nAnswer: -v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let n(d) = d**2 + 21*d - 18. Determine n(-22).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 227142864 a multiple of 2613?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -33980 + 37432. What are the prime factors of q?\nAnswer: 2, 863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(h) = -2*h**2 + 5. Let d(n) = -19*n**2 - 4*n + 29. Give -d(j) + 6*q(j).\nAnswer: 7*j**2 + 4*j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -2927 - -2800. Let j = 3698403 + -3698275.9999877. Let x = j + b. Round x to 6 decimal places.\nAnswer: 0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -4 - -2. Let o be d\/(-10) - (-228)\/60. Solve s + 2*h - 2 = -3*h, -o*h = 5*s + 11 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ymnkike. Give prob of picking 1 m and 1 k.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve -195 = 9*f + 16*f - 20*f for f.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-32 - 4)*3\/(-4). Suppose -470 = -3*n - 4*m, 812 = 4*n + 5*m + 184. What is the highest common divisor of n and f?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1785854924.\nAnswer: 2, 7, 293, 217681","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-24336)\/2106)\/(2\/(-9)) - 9.\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(s) = -23*s**3 - 3. Let k(l) = -46*l**3 - 5. What is -5*d(u) + 3*k(u)?\nAnswer: -23*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let l(v) = v**3 - 3*v**2 - 4*v + 3. Let o be l(4). Let i be 42902\/6 - (-2)\/o. Let g = -71573\/10 + i. Find the common denominator of 3\/8 and g.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*m - 3*o + 21 = -57, 5*o = 10. Solve m = -4*n + 4*j, -5*n + 6*j - 2*j - 25 = 0 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(k) = -23*k**3 - k**2. Let p be 9*-3*(-8)\/(-36). Let r = -7 - p. What is the remainder when 86 is divided by d(r)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(o) = 3*o**2 - 1386*o - 36892. What is q(-26)?\nAnswer: 1172","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 540 - 8*p**2 + 57*p - 537 - 30*p.\nAnswer: -8*p**2 + 27*p + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 121 - 85. What is the highest common divisor of c and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 4136193015?\nAnswer: 3, 5, 275746201","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of 1523, 3050, 4577, 6104, 7631, 9158?\n\"Answer: 1527*k - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5 = -3*j + 3*d + 10, -j = -4*d - 17. Let m be j\/(-3) - (-3)\/36. Suppose 1 = 4*y - 3. Does m = y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: 5 (base 14) to base 2\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose l - 3*h - 90 = -5*h, -3*l + 3*h + 261 = 0. Suppose l - 42 = r. Let q = r - 18. What is the remainder when q is divided by 18?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 985.6409g in milligrams?\nAnswer: 985640.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 6114214 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Sum 4377.7 and -0.7.\nAnswer: 4377","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*g + 0*g - g)*(-2 + 3 - 2) + 1 - 1 + g - 114 + 114 + 12*g.\nAnswer: 14*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let r(f) = 36*f - 59. What is r(2)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: How many nanograms are there in one fifth of a microgram?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of -177, -329, -479, -621, -749, -857, -939?\n\"Answer: f**3 - 5*f**2 - 144*f - 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: 1224 (base 8) to base 7\nAnswer: 1632","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 3\/4 + 4\/16. Which is the closest to 0?  (a) 1\/4  (b) m  (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-4 + 3)*(-8 - -5 - -7)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there in 2\/9 of a day?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -r + 2*r = 2. Suppose -12 = -5*m - x, m + r*x = -2*m + 10. Suppose -m*s - 2 = -3*s. Solve -s*g - 6 = -0*g for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 351171140 divided by 3.\nAnswer: 351171140\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (0\/(24\/(-6)))\/1. Suppose r = 3*o - 15, -o - 2*o - 141 = -4*w. Suppose -1 = -5*k + 764. What is the remainder when k is divided by w?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: -225 + 0.03\nAnswer: -224.97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1\/2 in -2\/669, 1\/2, -23, -48?\nAnswer: -2\/669","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 226428129?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -145 + 77. Let c = -35 - z. What is the tens digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 109285565 to the power of 1\/4, to the nearest integer?\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: 29 divided by 7\nAnswer: 29\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of -6514, -13034, -19568, -26122, -32702, -39314?\n\"Answer: -r**3 - r**2 - 6510*r - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let h(l) = -270*l - 15. Let m(k) = 270*k + 13. What is -6*h(d) - 7*m(d)?\nAnswer: -270*d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 19 + -16. Suppose 2*b + 15 = -5*p - h*b, -p + 6 = -2*b. Is 9 at most as big as p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -24807831 or -0.07?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let g(r) = 4. Let o(p) = -p - 21. Let j(l) = -g(l) - o(l). What is the remainder when 99 is divided by j(0)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 63 - 58. Which is the fourth biggest value?  (a) g  (b) -1\/7  (c) 0.1  (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 6 - -2. Let c be (g\/(-6) + 2)*12. Calculate the greatest common factor of 64 and c.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence tg when two letters picked without replacement from {h: 3, t: 3, g: 6, v: 7}.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/4 of a microgram in nanograms?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2 + 2 + 3)*(0 + 3 - 5)*(-13*t + 3*t - 18*t)*(2 + 1 - 5).\nAnswer: -336*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 2574007 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let u(b) = -5*b**2 - 717*b - 9239. What is u(-13)?\nAnswer: -763","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -11163*u**4 + u**2 - 575*u + 28.\nAnswer: -267912*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from yyyy. Give prob of sequence yyyy.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {c: 1, q: 1, p: 1, f: 1, k: 1, s: 2}. What is prob of picking 1 p, 1 s, and 1 c?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -5488, -10698, -15910, -21124, -26340?\nAnswer: -31558","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -21*22\/6*(-558)\/3069?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 57 + -53. Let y(i) = i**2 - 2*i + 4. Calculate y(v).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: -5882 divided by 4\nAnswer: -2941\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let t(w) = -w**2 - 66*w + 74. Calculate t(-67).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let a(d) = -8*d - 10. Let i be a(-2). Let j be 3*((-87)\/(-297) + i\/(-33)). Let m = -2 + -3. What is the third smallest value in j, m, 0.1?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 655 - 655. Solve 3*j - 4*s = -6 - 9, t = -2*j - 5*s + 13 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:59 PM and 8:21 PM?\nAnswer: 142","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 484\/(-352) - 15\/(-24).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Does 268 divide 83039?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let a(v) be the second derivative of v**4\/24 + v**3\/3 + v**2 - 2*v. Factor a(p).\nAnswer: (p + 2)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*a = 2*a + 57. What are the prime factors of a?\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(a) be the third derivative of a**8\/168 - 3*a**7\/35 - a**6\/4 + 53*a**5\/30 - 5*a**4\/2 - 57*a**2 + a. Solve p(t) = 0 for t.\nAnswer: -3, 0, 1, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 0 or 15186237?\nAnswer: 15186237","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of -31354, -31340, -31316, -31276, -31214?\n\"Answer: q**3 - q**2 + 10*q - 31364","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (g**0)**23*(g\/g**(1\/9)*g)\/(g**(-7)*g*g*g) assuming g is positive.\nAnswer: g**(53\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 797528960?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 2 - (-13 + -8 + 89). Sort -2, 0, c, -4.\nAnswer: c, -4, -2, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -1\/1334 greater than or equal to -67\/45?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence rqqq when four letters picked without replacement from {q: 3, r: 5}.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 6 (base 16) in base 2?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9*q**4\/7 + 380631*q**3 - 888138*q**2\/7 = 0. Calculate q.\nAnswer: 0, 1\/3, 296046","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -12 + 13 + (-7 - -1) + 11?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4 = 10*u - 8*u. Let z be 1020\/(-165) + u\/11. Let v(g) = -g**3 + g + 1. Let o(w) = 4*w**3 - 6*w - 5. What is z*v(h) - o(h)?\nAnswer: 2*h**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -12 = -2*r + 4*h, -5*r + 12 = 4*h - 8*h. Suppose -11*b + 6*b = 15, r = x + b - 692. Let q = 1357 - x. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 215*q - 185*q - 210 = 0 for q.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 14 = -n + 4. Let h be 4\/n - 7\/(-5). What is the tens digit of (-6 + 7)\/(h\/14)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 2 + 2e24e68?\nAnswer: 2e24e6a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose v + 2*h - 17 = 0, 1 + 7 = 4*h. Let x = 13 + v. Suppose 2*u = 26 + x. What is the units digit of u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 5, -0.07, 3\/10, 7, 3 in descending order.\nAnswer: 7, 5, 3, 3\/10, -0.07","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*s = -4*i - 4*s + 7366, 0 = 5*i + 2*s - 9194. Is i a multiple of 102?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -f**2*g**2 + f**2*g + 24*f**2 + 188*g**2 wrt f.\nAnswer: -2*f*g**2 + 2*f*g + 48*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Round 100675.16 to the nearest one thousand.\nAnswer: 101000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 104.000211 - 104. Round b to 5 decimal places.\nAnswer: 0.00021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1 + (sqrt(70)\/(sqrt(20)\/sqrt(2)))**2.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 415 + -295. Suppose -y = 4*f + f. What is f rounded to the nearest ten?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-2)\/(-4))\/(11\/(-22)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -65 + -81590102\nAnswer: -81590167","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 351481448 to the nearest integer?\nAnswer: 706","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Put 4, -37, 2, -1 in descending order.\nAnswer: 4, 2, -1, -37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let m(h) = h**2 + 5*h + 5. Let l be m(-5). Suppose -5*d = -15, -l*d - 744 = -4*o - d. Is 27 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 3977164?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*i + 2*x + 287 = 0, 181 + 12 = 2*i - 3*x. What is the units digit of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 12153*u**4 + 68*u**3 - 1637886*u**2 wrt u.\nAnswer: 291672*u + 408","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let d(f) = -f**3 + 7*f**2 - 4*f - 2. Let g be d(6). Let p = g + -8. Solve -p*k + 3*r + 3 + 1 = 0, 5*k = 5*r for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -115112, -230226, -345340?\nAnswer: -460454","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 67455 and 306?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1*0.043.\nAnswer: -0.043","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 7*(-6)\/10*(-1)\/3. Let r = 25 - 24. Which is smaller: r or g?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -2221112 - 1101?\nAnswer: -2222213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 625644 and 543?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 11905 or 83331\/7?\nAnswer: 11905","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 230\/(-6) + (42\/27)\/(10\/15).\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.00001870064 rounded to seven dps?\nAnswer: -0.0000187","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-2 - 1 - 3 - -1) + 2.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 2 + 4 - (2 + 0). Find the second derivative of -3*l**4 - x*l + 0*l + l wrt l.\nAnswer: -36*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Are 130 and 155 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*x - 902 = -2*q, 3*x - 542 - 384 = -2*q. Let f = q - 457. Suppose 0 = -5*g - 0*g. Solve 2*o + g + 4 = f for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2*z**2 - 14*z**2 + 8*z**2 + 0*z**2.\nAnswer: -8*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let y(u) = 4*u + 226. Let j(t) = -t - 76. Let o(p) = 16*j(p) + 5*y(p). What is the smallest common multiple of 8 and o(22)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 0.0628 + 485.9372. Let o = 85.156 - 574.866. Let g = o + a. What is g rounded to 0 dps?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 100814959?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let t(c) = -c - 3. Let z be t(-7). Let i be (z - 1 - (1 + 1))*23. What is the greatest common factor of i and 207?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from bybbby. What is prob of picking 2 b and 2 y?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve 315*v = 127*m + 224*m + 310*v - 762, m = 2*v + 26 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let f(p) = -69*p - 42. Calculate f(1).\nAnswer: -111","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -8 and -7?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: -14.8 times 3\nAnswer: -44.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 467 - 6093 = -o + 3*l, 5*o + 5*l = 28210. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4*k + 3*k - 2*k)*(6*k - 4*k + 0*k) + (-1 + 6 - 9)*(-43*k**2 - 25*k**2 - 3*k**2).\nAnswer: 278*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Expand (16042*a**2 - 23291138 + 23291138)*(0*a**2 + 3*a**2 - 2*a**2).\nAnswer: 16042*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let w(s) be the third derivative of -s**7\/2520 + 5*s**4\/24 + 2*s**2. Let v(m) be the second derivative of w(m). Let a(g) = 3*g**2. Calculate v(a(c)).\nAnswer: -9*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*t + 7 - 22 = 0. Suppose 4*i + 10*i**2 + 3*i**2 - 11*i**2 - 2*i**t = 0. What is i?\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*t = 119 + 142. Let u(m) = 527*m + 26 + 625*m + t*m + 1855*m. Let i be u(21). Round i to the nearest ten thousand.\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 65415\/1323 - (-8)\/(-18). Solve 83 = 22*v - f for v.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-2*y + 2*y + y)*(2 + 1 - 1) - 2*y + 3 - 5 + 0*y + (2 + 1 - 5)*(-14*y - 7*y + 16*y) + 5*y - 5*y - 2*y in the form f*y + d and give f.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -1846 - 802*w + 932 + 914 to j*w + k and give j.\nAnswer: -802","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: How many meters are there in 9689.543cm?\nAnswer: 96.89543","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 3*-2*4\/(-8). Suppose -21 = -3*u + t. What is the third derivative of 3*n**2 + 6*n**3 - 5*n**3 + u*n**3 wrt n?\nAnswer: 54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3 + 1 = -2*q. Let w(i) = 2*i**2 + i - 2. Let n be w(q). Solve 0*k + 2*m + n = -k, -2*m - 2 = 0 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(p) = -3*p**3 + 19*p**2 - 5*p + 6. Suppose -66 = -8*a - 3*a. Let o be q(a). Solve -2*h + 6*h = o for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -1 + -1 + 6 + -8 + 0.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:16 PM and 9:33 PM?\nAnswer: 557","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is -8 + (-5 - -19) + 0?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -9632760, -9632761, -9632762, -9632763, -9632764?\nAnswer: -9632765","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 10226065 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Are 0.1 and -92159.1 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -7320*i**4 - 4*i**2 + 1505 wrt i.\nAnswer: -175680*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let o(c) = c**3 - 7*c**2 - 5*c + 6. Suppose -3 + 0 = -j + 2*y, 2*y + 24 = 4*j. Let p be o(j). Is p greater than or equal to -24?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify x**(-3\/4)\/x**(-5) assuming x is positive.\nAnswer: x**(17\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 582359709.\nAnswer: 3, 19, 10216837","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 6*b - 102318*b**3 - 4*b + 102304*b**3 - 2*b.\nAnswer: -14*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 5247962 and 717.\nAnswer: 239","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let s(n) be the first derivative of -2*n**5\/45 + n**4\/18 + 2*n**3\/27 - n**2\/9 - 12. Suppose s(z) = 0. What is z?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from ccxcsxccxxxcxscx. What is prob of picking 2 x and 1 c?\nAnswer: 21\/80","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 c and 1 d when two letters picked without replacement from {m: 9, d: 3, c: 4, e: 4}?\nAnswer: 6\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let r be -1 - (-5)\/2 - (-7)\/(-2). Let f be ((-8)\/(-16))\/(2\/(-36)). Let l be (r - f\/3)*71. What is l rounded to the nearest ten?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(l) = 3366*l + 26932. What is f(-8)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 11 - 31 - (0 - 5 - 4).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -157*g**3 + 74*g**3 + 70*g**3.\nAnswer: -13*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify j*j\/j**13*j*j**(-18) assuming j is positive.\nAnswer: j**(-28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from qwpxwfp. What is prob of sequence fww?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.354 * -0.03691.\nAnswer: -0.01306614","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 228 - 118. Let h(m) = -m**3 + 2*m**2 + 10*m + 2. Let p be h(4). What is the greatest common factor of p and v?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 173*t**3 + 8*t**2 + 340*t**3 - 21*t**2 + 198*t**3 + 11*t**2 to c + y*t + b*t**2 + r*t**3 and give r.\nAnswer: 711","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 15 + -163051?\nAnswer: -163036","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 424 + -409. Solve 3*p - q = a, -3*a = -0*a + 3*p - 3 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 1\/(128\/((-640)\/10)).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.108 - 0.62?\nAnswer: -0.512","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 837.7 - 876. Let u = 35.2 + d. Is u >= -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 48 and 22464?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Sort -6, 2, -105, -1 in increasing order.\nAnswer: -105, -6, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Express -156*w**2 + w**4 - 2*w**3 - 759*w + 757*w + 0*w**3 as j*w**2 + r*w**4 + i + b*w + f*w**3 and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Convert 291773.8g to nanograms.\nAnswer: 291773800000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 10 - 7. Let f = 13121 - 13131. Sort s, 2, f in increasing order.\nAnswer: f, 2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (x**(1\/3)\/x*x*x**(1\/8))\/(x**(4\/7)*x**(-2)*x)*(x**5*x**(-1))**(-2\/39) assuming x is positive.\nAnswer: x**(1489\/2184)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 36 and 36?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.000105348 rounded to five decimal places?\nAnswer: -0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 478000486.\nAnswer: 2, 83, 2879521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from fznzfzbzfnf. Give prob of sequence zzzn.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 12\/15 - (-3 + 1) - 3.\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 244028*j**3 + 252499.\nAnswer: 732084*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (16 - 37 + 20 + 79*p)*(-4*p + 35*p - 6*p) to the form v*p + r*p**2 + k and give r.\nAnswer: 1975","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let f(y) = -10*y. Let n(q) = 47*q**2 + 2. Determine n(f(p)).\nAnswer: 4700*p**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -144293*k**2*p**2 + 8*k**2*p + 3*k**2 + k + 69 wrt p?\nAnswer: -288586*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:04 AM and 4:10 AM?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 0.08 + -8.08. Let m = 11 + h. Which is the second smallest value?  (a) -2  (b) m  (c) 2\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -197 - -197. Solve l = -9*w + 5*w + 4 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -27055, -53807, -80257, -106405, -132251?\nAnswer: -157795","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.1?  (a) 7  (b) 70  (c) 14  (d) 2\/11  (e) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let v(r) = -6*r**2 - 4*r + 675. Let h(u) = -u**2 - u. Let b(z) = -5*h(z) + v(z). Let t be b(0). Calculate the greatest common factor of t and 27.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -3  (b) -4  (c) -9  (d) 206\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 174 + -198. Is 0.1 less than or equal to t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 73009 is divided by 14.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let y(k) = -6*k**2 - 61*k + 105. Determine y(-13).\nAnswer: -116","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 3*r**2 + 146*r - 54*r**3 + 13*r**3 + 6*r**3 - 29*r**3 - 13*r**3 wrt r?\nAnswer: -462*r + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(c) = 3*c. Let a(g) be the first derivative of g**3 + 3. Give q(a(m)).\nAnswer: 9*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 249 minutes after 12:15 PM?\nAnswer: 4:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let n(s) = 3*s**3 - 34*s**2 + 4*s - 36. Is n(12) a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: -0.4 times 0.0428\nAnswer: -0.01712","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let o(w) = 60*w - 84. Is o(3) a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 82708 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: Two letters picked without replacement from aattattatr. What is prob of picking 2 a?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-8)\/10*1)\/(20636\/14070)?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*y**3 - 2*y**2 + 2*y**2)*(0 + 0 - y + (2 + 3 - 3)*(-1 - 2 + 4)*(3*y - 3*y + 2*y)).\nAnswer: 6*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 61054 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2304.26 + -0.198881.\nAnswer: -2304.458881","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"}
{"text":"Question: Let j = 48.607 + -19.007. What is the third biggest value in 9, j, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -2120919\/14 + 151807. Let b = 313 - g. Find the common denominator of -87\/340 and b.\nAnswer: 2380","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is (4\/(-12))\/(8\/(-12054936)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -5*h + 212*h - 39 + 39 to l*h + d and give l.\nAnswer: 207","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 500 and 9745700.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let g(n) be the first derivative of n**3\/3 - 3*n**2 + 9*n - 11. Let p be 6*(-18)\/12*4\/(-6). Suppose p*m + 18 = 9*m. Calculate g(m).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -6.855 and -0.65.\nAnswer: 4.45575","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -u - r + 3 = u, 5*u - 6 = -4*r. Let d(q) be the second derivative of 1\/6*q**4 + 0*q**u + 0 + 0*q**3 - 2*q. Let a(o) = -o**2. Calculate d(a(j)).\nAnswer: 2*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 7139, 8515, 9891?\nAnswer: 11267","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -4 + -1 - -3 - (4 - 2)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 5 or 10320\/2701?\nAnswer: 10320\/2701","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let h(j) be the first derivative of -2*j**2 - 27. Let o(c) = -c. Let k(g) = -2*g. Let s(y) = 2*k(y) - 5*o(y). Determine s(h(a)).\nAnswer: -4*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -367*z - 38*z + 10092 + 4488 for z.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (5\/((-30)\/(-33)))\/1*3*60\/(-90).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 285319 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 148765 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of 148, 594, 1652, 3580, 6636, 11078, 17164, 25152?\n\"Answer: 43*w**3 + 48*w**2 + w + 56","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -w - 2*r - 4, 3*w + 5*r + 2 = -8 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let x(q) = 88*q**3 - 3*q**2 + 3*q - 7. Let b(r) = -265*r**3 + 9*r**2 - 9*r + 21. Let v(n) = -4*b(n) - 11*x(n). Is v(3) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -42*a - 24 + 64 = -22*a. Let w be 16\/6 + 4\/3. Solve w*z = -a*h, z - h + 5*h = -14 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -4 + 3.8. Let k = -3.1 - -3. Let q = k + 0. What is the nearest to q in a, -3\/8, 1\/4?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -2 + 4. Suppose 0 = -h*d + 7 - 1. Solve -5*v = -4*c - 26, -3*c - d = -v + 11 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(d) = -9*d**4 + 6*d**3 + d + 14. Let n(t) = 9*t**4 - 4*t**3 - 15. Let s(l) = -3*n(l) - 2*x(l). Differentiate s(z) with respect to z.\nAnswer: -36*z**3 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from oorrdqnd. What is prob of picking 1 o and 1 n?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let f(q) = 19*q**3 + 49*q**2 - 2 - 53*q**2 - 18*q**3 + 3*q. Determine f(3).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(g) = -5*g - 10. Let f(z) be the third derivative of -z**4\/4 - 3*z**3\/2 + 1222*z**2. What is -3*f(m) + 4*l(m)?\nAnswer: -2*m - 13","meta":{"dup_signals":{},"source":"polynomials__add_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: What comes next: -158, 861, 3504, 8581, 16902, 29277, 46516, 69429?\nAnswer: 98826","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -30752240 divided by 40.\nAnswer: -768806","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Does 14 divide 1680?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Divide 2866 by -4.\nAnswer: -1433\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -10101110000 - -1?\nAnswer: -10101101111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let h(z) = -z. Let g(w) = -w - 2. Let y be g(-3). Let x(d) = 0 + 2 - 2 + 2. Calculate y*x(t) - 2*h(t).\nAnswer: 2*t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 76*z - 112*z**2 + 72*z - 217*z + 69*z.\nAnswer: -112*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-2)\/(-6)*0 - 0. Suppose 2*n - 7*n + 55 = f. Suppose -5*w + 5*o = o - 155, 2*w + 2*o = 62. Calculate the remainder when w is divided by n.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -8*z**2 - 5*z**2 + 17*z**2 - 2*z**2.\nAnswer: 2*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve 133*a - 132*a - 22 = 5*r, 0 = 5*a - 4*r - 5 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of -125, -366, -773, -1352, -2109, -3050, -4181, -5508?\n\"Answer: -j**3 - 77*j**2 - 3*j - 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 3468 and 136?\nAnswer: 6936","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.3 * 4.084.\nAnswer: -1.2252","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -336*s + 119*s - 173*s.\nAnswer: -390*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 486 - 485.5. What is the smallest value in f, 5, -41?\nAnswer: -41","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 96702 and 1353147?\nAnswer: 192146874","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 302 + -299. Let q(m) = -13*m - 2. Give q(a).\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 z and 1 w when two letters picked without replacement from huwquwhzmhw?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: How many nanoseconds are there in 31601.37 microseconds?\nAnswer: 31601370","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0 + (-4 - -1 - 3).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 3623912 to the nearest integer?\nAnswer: 154","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 11 = c + 4*t, 2 = -4*c + 2*c + 4*t. Suppose 0 = 4*v - 34 - 30. Suppose -c*x + 11 + v = 0. Calculate the least common multiple of 9 and x.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 1897 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 x and 1 j when two letters picked without replacement from bwtoobtobwxotjw?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2128 - 2128 + 2*x.\nAnswer: 2*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1144*p + 300 = 1094*p for p.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Total of -1111.614 and -380792816.\nAnswer: -380793927.614","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 164215?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 315 and -4.449.\nAnswer: -1401.435","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Express -6*n - 53 - 8 + 6*n - 2*n**2 as v + g*n + i*n**2 and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -7 - -18 - 40\/(-8).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*u - 20*k - 10771 = 7*u, 5*k = -4*u + 42829. What are the prime factors of u?\nAnswer: 10711","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -23 + 49. Calculate the greatest common factor of 182 and m.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2*(sqrt(50)\/(sqrt(70)\/sqrt(7))*5)**2.\nAnswer: -250","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Sort -84\/17, 3, 2.17, 5 in increasing order.\nAnswer: -84\/17, 2.17, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (z*(((z*z**(12\/7))\/z)\/z)\/z*z\/z**(-1\/5)*z**0\/(z*z\/z**(-4\/3)))**(-10\/7) assuming z is positive.\nAnswer: z**(298\/147)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let y(r) = -r**2 - 17*r - 27. Let j be y(-15). What is the highest common divisor of j and 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 14306093 to the nearest integer?\nAnswer: 243","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 13156143 to the power of 1\/9, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/6 of a century in months?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in thirty-one halves of a litre?\nAnswer: 15500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -43 + 37. Let z = 355 - 351. Let c = 0.94 - 1.04. Sort c, g, z in ascending order.\nAnswer: g, c, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 19\/4911 and 49\/33.\nAnswer: 54021","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 288 and 128.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -70*h = -164 + 24 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-5390)\/(-24500))\/(121\/22)?\nAnswer: 1\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 98774 or 98777?\nAnswer: 98774","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 10\/(-12)*(-23)\/((-2300)\/(-126))*288\/(-336)?\nAnswer: -9\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 130781 is divided by 756?\nAnswer: 749","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*r**2 - 3*r**2 - r**3)*(4 - 2*r - 4) + (14 - 2*r - 14)*(-2*r**3 + 0*r**2 + 0*r**2) - 2*r**4 - 1 + 1.\nAnswer: 4*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1 = c - 0, a + 4 = 2*c. Is -1 + 85 - (a - -3) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(t) = 33*t - 140. Let r(x) = -17*x + 79. Let w(p) = 4*c(p) + 7*r(p). Let q(m) = -m - 1. Let b be q(-3). Let y be w(b). Is y less than 19?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*u - 3*u + 10. Suppose 2*s - 12 = 4*i + s, u*s + 3 = -i. Let y(v) = -v**2 - 4*v. What is the remainder when 11 is divided by y(i)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*p - 3*k - 9 = -p, -3*k = -2*p + 2. Let o(t) = -20*t**2 + 153*t - 16. What is the remainder when 290 is divided by o(p)?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose y + 4*i = 134, -199 = -2*y + 2*i + 99. Let g = y - 114. Suppose 0*u + u = 4*p - 118, 0 = p + u - g. Solve h - 2*k - 23 = -2*h, -p = -2*h + 5*k for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*l = 5 + 3. Let v be (-1 - (-3)\/(-1))*l. Let f be 2\/v + (-23199995)\/20. Round f to the nearest one hundred thousand.\nAnswer: -1200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve z - 2 = v, -3*z - 2*v - 3 = -4*z for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 119 and -0.07?\nAnswer: -8.33","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 19 - 0 - (3 + 1 + 3)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let -3*g**4 + 62190*g**3 + 35631111*g**2 + 106457958*g + 70889040 = 0. What is g?\nAnswer: -555, -2, -1, 21288","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (26\/39)\/((-1)\/(-3)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: 0.5 - 52.51433\nAnswer: -52.01433","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -192*t - 540 = -197*t. Calculate the common denominator of -1\/8 and ((-3)\/t)\/(14\/763).\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(f) = -7808*f**3 - 549*f**2. Let a(n) = 57*n**3 + 4*n**2. Give 549*a(z) + 4*r(z).\nAnswer: 61*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (1 + -3 - 0) + 2. Let b = k - 3. Let r(j) = j**2 + 3*j - 3. Let o(i) = -3*i**2 - 8*i + 9. Calculate b*o(g) - 8*r(g).\nAnswer: g**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -288*n - 24398 = 6130. Sort 3, 2, n, -5 in increasing order.\nAnswer: n, -5, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 30809647*h + 121859506?\nAnswer: 30809647","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 11, 22, 33, 44?\nAnswer: 55","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {h: 5, w: 4, f: 3, s: 1}. Give prob of picking 1 w and 2 h.\nAnswer: 20\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 147 = 3*x - u, -u = -x - 0*u + 49. What is the units digit of x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -18 - ((-2912)\/40)\/4?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1 + sqrt(7) + 2 - (sqrt(847) + 3)) + (0 + sqrt(7)*-3 - sqrt(7) - (-2 + sqrt(847))**2).\nAnswer: -853 + 30*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let h(t) = 60*t**2. Let y(k) = -669*k**2 - k. Calculate y(h(m)).\nAnswer: -2408400*m**4 - 60*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -29 - -29. Suppose 4*n = 88 - b. What is the highest common divisor of n and 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 22653130.\nAnswer: 2, 5, 19, 119227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -1.2 + 0.8. Let v = r - 6.6. Let i = 7.01 + v. Round i to two dps.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(o) = 202*o - 5. Let p be c(8). Suppose -n = -389 - p. Round n to the nearest one thousand.\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(r) be the first derivative of -r**3\/2 + r**2 - r + 3. Let y(s) be the first derivative of t(s). Determine y(4).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(v) = -v - 3. Let h = -10 - -34. Suppose 5*s + 1 = -h. Let m be u(s). Solve -m*a = 2*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-12*5\/70)\/((-10)\/(-70))\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Express 4*j**3 + 19 + 6 - 3*j**3 in the form l + f*j + h*j**2 + t*j**3 and give t.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from oooloolvoolvvv. Give prob of picking 1 v and 1 o.\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence qqql when four letters picked without replacement from {l: 3, q: 7}?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is (7 + -2 - (1 + 9)) + 2?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -119 - 13. Let j = -132.4 - m. What is the closest to -1 in 7\/6, j, 1?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0?  (a) 4\/3  (b) 569.4  (c) -4  (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let y(a) = -6*a - 5. Let w = -140 - -120. Let p = -50 - -25. Let j = w - p. Let v(k) = -7*k - 6. Determine j*v(d) - 6*y(d).\nAnswer: d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 2150 and 250?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.02611323 rounded to three decimal places?\nAnswer: -0.026","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*k, 2*o - 1852 - 898 = k. Calculate the highest common factor of o and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find h, given that -5*h**4 + 20725*h**3 - 473900*h**2 - 536100*h + 989280 = 0.\nAnswer: -2, 1, 24, 4122","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 375 and -17.5.\nAnswer: -6562.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 4*1\/((-8)\/(-10)). Suppose 3*d = 2*d + t. Solve d*y = y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 13, 2, 1 in decreasing order.\nAnswer: 13, 2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 4229 - 3002. Is (w\/(-12))\/((-9)\/36) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: -0.0688781+26192\nAnswer: 26191.9311219","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-f + f + 4*f)*(-1 + 1 - 2)*(-3 + 1 + 0 + (-2 - 4 + 5)*(0 - 2 - 2)) to the form j*f + d and give j.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-1197)\/(-18))\/19*6\/15.\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -2593*a**4 + a + 114 wrt a.\nAnswer: -31116*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3 = -6*i + 15. Suppose -4 = -4*g, 2*g - i = -w + 4*g. Determine m so that 3*m**5 + 9*m**3 + 9*m**4 + 12*m**2 - 9*m**2 + 0*m**w = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -7 = -5*l + w - 2, 0 = l - 5*w + 23 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: 3\/(-2) - 81\/54\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (d*d\/(d\/d**8)*d*d)**(-50) assuming d is positive.\nAnswer: d**(-550)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1259*k**2 - 629*k**2 - 630*k**2 - 2*k**3 + 10*k**3.\nAnswer: 8*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let f(s) = -99*s**2 - 93*s + 4. What is f(-1)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 365982078 minus -1?\nAnswer: 365982079","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {a: 6, t: 1, f: 4, j: 7}. Give prob of picking 1 a, 1 j, and 1 f.\nAnswer: 7\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*u = 119 - 94. Suppose 2*f + 5*m - 75 = 0, 74 = 5*f + u*m - 91. Find the third derivative of -11*j**2 + f*j**2 - 4*j**5 + 32*j**5 wrt j.\nAnswer: 1680*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 4.4 + -1.4. Let m = 2 - f. Put 3, m, 1 in increasing order.\nAnswer: m, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(v) = -v**2 + 1. Let j = 11 + -6. Let p(z) be the third derivative of -z**5\/10 - z**4\/24 + 5*z**3\/6 - 9*z**2. Let o(q) = j*s(q) - p(q). Factor o(r).\nAnswer: r*(r + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -28 - -25. Is q equal to -15\/8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 l and 1 r when three letters picked without replacement from {n: 3, s: 1, r: 3, l: 4}.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*n**4\/7 + 356*n**3\/7 + 16194*n**2\/7 + 31328*n\/7 + 15488\/7 = 0. Calculate n.\nAnswer: -88, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve b - c - 4*c = -19, 0 = b + 3*c - 5 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 988618351?\nAnswer: 7, 47, 3004919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.1245801 rounded to three dps?\nAnswer: -0.125","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let i(v) = 15780*v**2 + 21*v + 10. Let k(u) = 10520*u**2 + 15*u + 7. Calculate -5*i(w) + 7*k(w).\nAnswer: -5260*w**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -19\/10 + -3\/5. Let t = l - -3. Find f, given that -7\/4*f - f**2 + t = 0.\nAnswer: -2, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*k - 5 = 0, -11*m + 2*k = -16*m + 2. Is -5\/153 < m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1483668.\nAnswer: 2, 3, 41213","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-5122 + 2203 + 1973)*(-3*a**3 - 8*a**2 + 8*a**2).\nAnswer: 2838*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -2\/13  (b) -70\/529  (c) -6\/313\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 355 is divided by 140?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 6820?\nAnswer: 2, 5, 11, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0 in -4\/9, 5\/36, -1\/6?\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((c**(-34)*c)\/c)\/c**16)\/(c\/c**(-1\/4)*((c**(-30)\/c)\/c)\/c) assuming c is positive.\nAnswer: c**(-73\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence zycq when four letters picked without replacement from {y: 9, c: 3, a: 2, q: 1, p: 1, z: 2}?\nAnswer: 1\/1360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1 (base 10) to base 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -10 divided by -210?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 146069 - 49787 = 27*l. List the prime factors of l.\nAnswer: 2, 1783","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 324, 320, 302, 264, 200, 104, -30?\nAnswer: -208","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 535548 to the nearest integer?\nAnswer: 732","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let f(o) = 29*o. Let d be f(1). Let h = d - 408. Is -1 - 1 - (4 + h) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(y) = 2*y**2 + 22*y - 24. What is m(-14)?\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 430 and 1.\nAnswer: 430","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of 43, 94, 147, 202?\n\"Answer: c**2 + 48*c - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let a(k) = 5*k**2 + 2*k. Let r(o) = 4*o**2 + 2*o + 1. Let j(h) = 3*a(h) - 4*r(h). Calculate j(-3).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1769344 is divided by 20?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 2  (b) -210  (c) 0.2  (d) -56\/3  (e) 12  (f) -20\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 2*(2 + -3) + 51. Let p be 6872\/140 + 9\/45. Let s = u - p. Which is the closest to -0.1?  (a) 0  (b) s  (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 53 minutes before 1:14 AM?\nAnswer: 12:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 556 minutes before 11:47 PM?\nAnswer: 2:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.1 in -2\/15, -5, 29016?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -1 or 7\/905?\nAnswer: 7\/905","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (0*1\/(-4))\/3. Suppose -3*k + 4*k - 6 = m. Suppose 4*q - 55 = 9. Calculate the remainder when q is divided by k.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -3249 by -3.\nAnswer: 1083","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 46462132?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve -r + 24 = -5*h, -75*r + 5*h = -71*r - 21 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 q and 1 g when two letters picked without replacement from qgvggvvgqjvvgvqvg?\nAnswer: 9\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 99176869 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is (-7)\/(-16*20\/(-128))*10\/52?\nAnswer: -7\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -4450.68*3.\nAnswer: -13352.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let x(r) = 166*r**2. Let w(b) = -4*b - 873 - b + 3*b + 873. Give w(x(j)).\nAnswer: -332*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve 9*s**4\/4 - 21*s**3\/2 - 51*s**2\/4 + 42*s + 15 = 0.\nAnswer: -2, -1\/3, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 2006901259 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-4 + 6*(-1 + (sqrt(1300) - (1 + sqrt(1300)))) - (2 + -6*(sqrt(1300) - -2*(0 + sqrt(1300))))**2)*-3.\nAnswer: -2160*sqrt(13) + 1263660","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 1\/114376781 or 0?\nAnswer: 1\/114376781","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of -15, -22, -29?\n\"Answer: -7*s - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 3263\/2 + -1606. Calculate the common denominator of q and -97\/680.\nAnswer: 680","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 138343?\nAnswer: 37, 3739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4 + sqrt(12)*3 + 2.\nAnswer: 6 + 6*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 0 + 0.3. Let i = 0.4 - j. Let a = 13\/3 - 71\/15. Are i and a unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-3)\/(-9) - 2\/((-84)\/10). Let s = 27 - 27.2. Which is the closest to s?  (a) 0  (b) 6  (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 5919\/(-4)*((-558)\/54 - -9) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 1.1 - 0.1. Let n = -8.4 + 9. Let v = n - s. Which is the closest to 1?  (a) 3\/5  (b) v  (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 45\/11 and -4\/24629815.\nAnswer: 270927965","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2*-6*sqrt(170)*1)\/(5*sqrt(20)\/sqrt(2) + (sqrt(640) - -2*sqrt(640)))*-1 + 5.\nAnswer: -12*sqrt(17)\/29 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let i(n) = -n**2 + 13*n - 8. Let l = -13234 - -7591. Let g be (9\/8)\/(-3) + l\/(-456). Give i(g).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 5 divided by 531?\nAnswer: 5\/531","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve -42*x + 366 = -103*x for x.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: 17254 (base 9) to base 12\nAnswer: 6a57","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*x = 64*v - 61*v - 39967, 0 = v + 2*x - 13329. List the prime factors of v.\nAnswer: 5, 13, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 76*w - 971 = -93*w + 43 for w.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let z(w) be the third derivative of w**5\/60 - w**4 + w**3\/3 + 69*w**2 + 2*w. Let b be z(24). What is the nearest to 1 in -0.5, -3, b, -2?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(z) be the third derivative of -z**4\/24 - z**3\/6 + z**2. Let s(g) = 386 - 132 - 126 - 134. Calculate -6*h(x) + s(x).\nAnswer: 6*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 69\/155 + -741\/620. Let f = -0.3 + 0.2. What is the fourth smallest value in 1\/4, 0.2, w, f?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(b) = 2*b**2 + 6*b + 5. Suppose -19 = 6*w - 55. Let y(v) = 2*v**2 + 7*v + 6. Suppose 0*g + 5*g + j + 27 = 0, -11 = g + 3*j. Calculate g*y(t) + w*r(t).\nAnswer: 2*t**2 + t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Divide 385824600 by -27558900.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let d(j) be the third derivative of -j**8\/10080 - j**5\/30 + j**2. Let x(b) be the third derivative of d(b). Let t(h) = -17*h**2. Calculate x(t(o)).\nAnswer: -578*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 4 - 4. Let s = -6 + 10. Put -1, s, c in increasing order.\nAnswer: -1, c, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(k) = -k**2 + k - 4. Let b be z(0). Let f be -4 - 0 - (18\/(-45))\/(18\/90). Let l = -15 + 34. Put l, b, f in decreasing order.\nAnswer: l, f, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 169439?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -5*y - 1995*y**2 + 1997*y**2 + 4*y + y.\nAnswer: 2*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 203 + -104034?\nAnswer: -103331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 38.57058cm in millimeters?\nAnswer: 385.7058","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of 35348, 35505, 35794, 36281, 37032, 38113, 39590, 41529?\n\"Answer: 11*w**3 + 80*w + 35257","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*z - 24 = -2*w, 2*w = -2*z - 2 + 14. Let f = 218 + -156. Is (f\/(-4))\/((-2)\/z) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(b) = b + 10. Let q(m) be the second derivative of m**3\/3 + 21*m**2\/2 + 258*m + 1. What is -4*q(x) + 7*u(x)?\nAnswer: -x - 14","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let h(l) be the third derivative of -5*l**4\/24 - l**3\/3 - 2*l**2. Suppose -15 = -23*w + 20*w. Let u(z) = 3*z - 2*z + 3 + w*z. Determine -5*h(s) - 4*u(s).\nAnswer: s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2986550522.\nAnswer: 2, 1493275261","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Divide 129 by -129.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -10.44, -2\/15, -1, -1.78?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:16 PM and 3:12 AM?\nAnswer: 416","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 143*l - 141*l - 4 = 0, 2*m + 2 = 3*l. Let i(n) = 3*n + 2*n**3 - n**2 + 0*n**3 - n**3 - 2. Give i(m).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 2 - 7. Let r be (6\/o)\/(9\/(-30)). Let j = 4 - r. Is j at least as big as 4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*j + 36 = -4*f, -f + 3*j - 31 = -12. What is the closest to 1 in -2, -207, f?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:34 PM and 1:30 AM?\nAnswer: 416","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 3469113543?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1.462?  (a) 1\/4  (b) 2\/11  (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 609931?\nAnswer: 7, 87133","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let o(h) be the second derivative of -h**6\/75 + 17*h**5\/25 - 7*h**4\/2 - 1176*h**3\/5 - 11*h - 117. Let o(u) = 0. Calculate u.\nAnswer: -8, 0, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 875 + -4?\nAnswer: 871","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Product of 2 and -0.1416.\nAnswer: -0.2832","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let a(n) = -4*n**2. Let m be ((-2)\/(-15))\/(1 - 224\/240). Suppose 3*i = 147 + 276. Let s(j) = 141 - i + m*j. What is s(a(p))?\nAnswer: -8*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*r - 1630 = 14*v - 18*v, -812 = -2*v - 4*r. What is the highest common divisor of v and 24?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(h) be the third derivative of -3*h**2 + 1\/2*h**3 - 1\/6*h**4 + 0*h + 1\/60*h**5 + 0. Is d(4) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: 94116 divided by -138\nAnswer: -682","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve 507*p - 12386 = 10936 for p.\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Divide -1345 by -65.\nAnswer: 269\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let g(n) = -n**2 + 1062*n + 9553. Determine g(-9).\nAnswer: -86","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 110.08 - 1140305.\nAnswer: -1140194.92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:32 AM and 5:36 AM?\nAnswer: 4","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 230 is divided by 140?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 133366369 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 488744.\nAnswer: 2, 199, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-12)\/(-6876)*191)\/((-2)\/366).\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 30*i**3 + 7 - 7 - 89*i**3.\nAnswer: -59*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: 39a3 (base 14) to base 9\nAnswer: 14815","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 352 and 10736?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (s\/s**5*s*s\/(s*s*s**(-4\/9)*s)*(s*s\/s**(-12)*s)\/(s*s**(2\/23)\/s))**15 assuming s is positive.\nAnswer: s**(10720\/69)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 66 a factor of 23562?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let p(n) = 223*n + 11819. Determine p(-53).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 32926849 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -20 - -23. Suppose -c*y + 222 = 4*z, -2*z - 134 = -3*y + y. What is the tens digit of y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*c = -2*f + 5, -2*c + 6*c = 12 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 0  (b) 222  (c) -0.06  (d) -4  (e) 1\/3  (f) 2\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-12)\/(-1000))\/(((-27)\/42)\/(((-756)\/147)\/6)).\nAnswer: 2\/125","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(v) be the second derivative of -2*v**4 + 8*v. Let x(c) = c**2 - 2*c**2 + 628*c - 628*c. What is x(r(l))?\nAnswer: -576*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 77\/985164 and -79\/1788?\nAnswer: 146789436","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of -3064425, -3064428, -3064431, -3064434?\n\"Answer: -3*l - 3064422","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let b(w) be the second derivative of w**7\/840 + w**6\/360 - w**5\/40 + w**4\/6 + w**3\/2 + 3*w. Let v(g) be the second derivative of b(g). Calculate v(-3).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((9\/15)\/(-87*1\/(-20)))\/(-2).\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*a - 46 = -42. Suppose 4*i - 5*m + 2*m - 740 = 0, -a*i = 5*m - 344. Does 26 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(i) = i**2 + 13*i + 23. Calculate g(-7).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*k = 4*k - 6. Suppose -d = 2*i - 6, 0 = -2*i - 2*d + k + 3. Suppose -2*j = -4*q + 38, 4*q - i*q = 5*j + 14. List the prime factors of q.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:59 PM and 2:07 AM?\nAnswer: 428","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (10 + -8)*((-6)\/12 - -8). Let u(p) = -6*p**2 + p**3 + 3 - p**3 - p**3. Let x be u(-6). What is the greatest common factor of l and x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((x\/x**0*x*x**10*x)**(-3\/10))**(8\/9) assuming x is positive.\nAnswer: x**(-52\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 19 - 18.95. Let o = 2640 + -2637. What is the closest to o in -0.4, n, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 20 a factor of 8237?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*r - 94 + 119 = -2*n - 2*n, -r - 4*n = 13 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 7676 and 2052.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (22\/55)\/(1*42\/15).\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Put -508, -0.3, -2\/69, -65\/19 in decreasing order.\nAnswer: -2\/69, -0.3, -65\/19, -508","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from xxvvxhix. What is prob of picking 1 h and 1 i?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 54\/252*(-28)\/(-12).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*b + 4*b = 60. Let z = b - -27. Calculate the highest common factor of z and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -3492024 (base 11) in base 9?\nAnswer: -12416442","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 9 = 5*b - 5*k - 21, 0 = -2*b - 4*k - 30 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3682*k - 6655*k**3 + 7952*k**3 - 3683*k.\nAnswer: 1297*k**3 - k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 213, 611, 1157, 1815, 2549, 3323, 4101, 4847?\nAnswer: 5525","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of (-16)\/(-72) - ((-6026)\/18 + 2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 18732*v**3 + 19373*v**3 - 57484*v**3 + 19377*v**3.\nAnswer: -2*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Express -1305*z + 64*z - 1308*z + 139*z as w + i*z and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 99428462?\nAnswer: 2, 7, 7102033","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*g - 29 = -85. Is (0 + -1)\/(g - 11704\/(-1464)) a multiple of 61?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -3\/157 - -335\/25748. Which is the second biggest value?  (a) 0.4  (b) f  (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 l, 1 a, and 2 d when four letters picked without replacement from {g: 1, d: 3, l: 5, a: 7}?\nAnswer: 3\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2825071917?\nAnswer: 3, 17, 29, 1910123","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 58 = -4*x + 62. Suppose 0 = -4*w + 8, -f = 2*f + w + x. Let n be 4\/90*(-1 + 4). What is the closest to 2\/3 in n, f, 0.1?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 14 - ((0 - -8) + 0) - (-88 - -50)\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let x(o) = -4*o**2 - 4*o**3 + 7*o**3 - o**2 - 2*o**3 + 7. Let r be 2\/4 - 18\/(-4). What are the prime factors of x(r)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find s such that 2\/7*s**3 + 64\/7*s**2 + 38*s - 4332\/7 = 0.\nAnswer: -19, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:44 PM and 12:26 AM?\nAnswer: 702","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 211401 is divided by 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let s(l) be the second derivative of -l**5\/150 + l**4\/60 + 13*l**2\/2 - 2*l. Let t(u) be the first derivative of s(u). Suppose t(p) = 0. What is p?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -27*k - 9*k = -6*k + 23*k - 3180 for k.\nAnswer: 60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 20515*y**3 - 41594*y**3 + 21050*y**3.\nAnswer: -29*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: (63\/(-18) - -5)*(-32)\/552\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(144)\/sqrt(8)*-4 - (sqrt(128)*1 + -3).\nAnswer: -20*sqrt(2) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 23\/151 and -107\/36940.\nAnswer: 5577940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 19 a factor of 730854?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -506 + 495. Is -85\/7 at least as big as b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -103115611 - -3?\nAnswer: -103115606","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 3 + (-3 + 5)\/(-1). Let h(l) = -l**3 + 8*l**2 - 5*l - 9. Let y be h(7). Let o(a) = -4*a**3 - 4*a**2 + 1. Let m(k) = k**3 + k**2. Give q*o(b) + y*m(b).\nAnswer: b**3 + b**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -15 + -10061?\nAnswer: -10076","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of -8769, -8763, -8755, -8745, -8733, -8719?\n\"Answer: v**2 + 3*v - 8773","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 178090, 712332, 1602738, 2849308, 4452042?\nAnswer: 6410940","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0315681028 to six dps.\nAnswer: 0.031568","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 4\/5*(2 + 3). Suppose h*g - 30 = -g. Let p(f) = -2*f**3 + 2*f**2 + 4. Let t(j) = -11*j**3 + 11*j**2 + 23. Determine g*t(a) - 34*p(a).\nAnswer: 2*a**3 - 2*a**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 0.38 + -0.08. Let w = -1\/27 - 37\/459. Which is smaller: y or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (r**2\/r)**(-35\/2)*(r*(r*r**(1\/4))\/r)**(2\/87)*((r\/(r*r\/((r\/(r\/(r*r*r*(r*r**(-2\/3)*r)\/r*r*r*r)))\/r)))**(-5\/7))**(-49) assuming r is positive.\nAnswer: r**(11675\/87)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) 0.2  (b) -12053  (c) -1\/2  (d) 25  (e) 2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Do -64609993 and -64609992 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 27\/1544 and (-502)\/84 - (-3)\/12 - 404\/(-2828)?\nAnswer: 4632","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 3023325 is divided by 303?\nAnswer: 294","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2 = 4*l - d - 6, 0 = l + 3*d - 2. Let f(n) = -n**3 + 44*n**2 + 297*n + 150. Let s be f(50). Sort s, 4, -23, l in decreasing order.\nAnswer: 4, l, s, -23","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -31 = -8*s - 39. Which is the closest to -1?  (a) -2  (b) s  (c) 5  (d) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 30257 != 151279\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -2\/7?  (a) 13  (b) 0.3  (c) 0.04  (d) -3\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let c(w) = -w + 9. Let b(k) = -4*k**2 + 3*k. Let u(p) = 11*p**2 - 8*p. Let q(i) = 8*b(i) + 3*u(i). What is c(q(d))?\nAnswer: -d**2 + 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:55 PM and 2:21 AM?\nAnswer: 386","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Divide -10865792 by -8.\nAnswer: 1358224","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let i(m) = -45*m**3 - 3*m**2 - 7*m - 12. Suppose 15 = 15*r + 45. Does 25 divide i(r)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 3420264 by -25149.\nAnswer: -136","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Factor 14*y**5 + 2132*y**4 + 36800*y**3 - 3758016*y**2.\nAnswer: 2*y**2*(y + 92)**2*(7*y - 222)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-4)\/(-18) - (-76)\/(-18). Let r be w\/(-2) - 6*1. Which is the closest to -1?  (a) r  (b) -4\/5  (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:06 PM and 5:54 AM?\nAnswer: 468","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: How many milligrams are there in 0.730263 nanograms?\nAnswer: 0.000000730263","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 16169 + -16173.5076. What is g rounded to the nearest integer?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -149 or -13.762?\nAnswer: -13.762","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let h(v) = v**2 + 13*v + 2. Let m be h(-12). Let k = m - -2. Let i be 4\/k - 2\/(-16). What is the biggest value in -4, i, 0.09?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-32208)\/4752 - (-7)\/(-2)*-2. Sort y, -1\/2, 5990 in ascending order.\nAnswer: -1\/2, y, 5990","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millimeters are there in 1\/10 of a kilometer?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let w(p) = -98*p**2 + 2*p - 3. Let h(d) = -2*d**2 - d - 1. Let y(k) = -4*h(k) - w(k). Does 15 divide y(2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -0.05  (b) 0.05  (c) -70\/1923\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of 772, 732, 624, 412, 60, -468, -1208, -2196?\n\"Answer: -6*p**3 + 2*p**2 - 4*p + 780","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Does 2 divide 5901?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 6*b**3 + 11*b**3 - 12*b**3.\nAnswer: 5*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -57 - -58. Let p be (-2)\/4*8\/62. Is p < q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 2210000101000011 - 11?\nAnswer: 2210000101000000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.1?  (a) 2  (b) -2  (c) 2\/493  (d) -248\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Total of -19 and 431495.\nAnswer: 431476","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 1\/2  (b) 4  (c) -5  (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4 - 13 - 17)*(-5 + 0 + 3)*(-4 - 2 + 7)*(5 - 4 - 2)*(0*q + q - 3*q).\nAnswer: 104*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 18859583 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -187*k**3 - 177*k**3 - 294*k**3 + 810*k**3.\nAnswer: 152*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {d: 1, v: 2, g: 2, e: 4}. Give prob of picking 1 e and 1 v.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 4 less than -60464?\nAnswer: -60468","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let k(y) = -y**3 - y**2 - 2*y - 2. Let d(j) = -6*j**2 - 50*j + 44. Let n(x) = -x**2 - 10*x + 9. Let c(l) = 2*d(l) - 11*n(l). Let r be c(9). Determine k(r).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 25 + 0*s - 13 + 14 + 5 - s to w*s + r and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is -128474 times 8.5?\nAnswer: -1092029","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of 9, 6, -3, -18, -39, -66?\n\"Answer: -3*o**2 + 6*o + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 7875 + 20175 + 10*f + 3*f**2 - 10*f.\nAnswer: 3*f**2 + 28050","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -101\/96 and -47\/4047.\nAnswer: 129504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ca when two letters picked without replacement from aaoacaazaaaaaacocoz?\nAnswer: 11\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 31 is divided by 10.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 55239551 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1*((sqrt(20)\/sqrt(36))**2 + sqrt(20)*4).\nAnswer: -8*sqrt(5) - 5\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 2905 and 875.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let v(c) = 4*c**2. Suppose -8*j + 3*j + 580 = 0. Suppose b - j = 96. Let o(w) = 212 + w - b. Determine o(v(n)).\nAnswer: 4*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let a(z) = 6*z - 184. Let c be a(31). Does 11 divide 14993\/(-58)*-1*c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 32*x = -7*x + 117. Solve x = 4*k + 5*p + 19, -3*k - 12 = -5*p for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -3*n**4 + 9*n + 1 + 27*n**3 + 17*n**2 - 8*n - 26*n**3 + 101*n**2 in the form i*n**2 + y*n**4 + p*n + w + o*n**3 and give o.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 144 + -68. Calculate the greatest common divisor of 19 and r.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_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: What is 1473144648 to the power of 1\/3, to the nearest integer?\nAnswer: 1138","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-40)\/(-16)*(-10)\/(-1). Solve -2*l - 3*l = u for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -192.6896966 rounded to 2 dps?\nAnswer: -192.69","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is -7*(-3965)\/(-182)*7\/(2940\/48)?\nAnswer: -122\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let x(w) = -w**2 + 9*w - 6. Let i be x(8). Suppose -4*g = -r - 66, -i*g - r = -29 - 1. Calculate the highest common divisor of g and 64.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(22)\/sqrt(99) - sqrt(6)\/(sqrt(18)\/sqrt(6)))**2 + (sqrt(2) - (sqrt(18)\/(sqrt(9)*3))**2 - -3*sqrt(32)).\nAnswer: 2\/3 + 13*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let s(l) = -51*l**2 - 10*l + 404321. Is s(0) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -1\/1205946 - -43800561697\/4823784. Let r = -9068 + b. Find the common denominator of 44\/157 and r.\nAnswer: 1256","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((i**2)**(-39)*(i**(-3\/4))**(-2\/5))**(2\/35) assuming i is positive.\nAnswer: i**(-111\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1 = -3*r + g + g, -2*r - 5*g = -7. Let f = 2 + r. Suppose f*h + 14 = 5*h. What are the prime factors of h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -593 + 1213. Which is smaller: 619 or w?\nAnswer: 619","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 0 - (-1 + 8\/11). Let n = 67 - 71. Let x(u) = 2*u + 8. Let t be x(n). Which is smaller: t or l?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 8 + -2. Suppose -t*o = -3*o. Suppose -5*j = -4*g - 25, -3*j + 2*g = -g - 15. Solve j = -o*r + r for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 208 + -208.5. Let i = 52 + -362\/7. Let v be 6\/8 - 2\/4. What is the second smallest value in v, i, f?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (h**(-4)*h**(3\/2)*h*(h**9*h)\/h*h\/h**(-2\/31))**(-14) assuming h is positive.\nAnswer: h**(-3717\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -0.1  (b) 0  (c) -11  (d) 1\/304  (e) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 73519 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let j(g) = 2*g**2. Let x(l) = -588*l**2 - 3. Determine x(j(w)).\nAnswer: -2352*w**4 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve 14*z - 19*z - 64 = -64*u, 0 = -0*u + 5*u - 5*z - 5 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let c(y) = 7*y**2 - 54*y + 225. Let d be c(5). Calculate the highest common divisor of d and 470.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 14459821 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 + x - 1)*(-9*x + 11*x + 3 + 4).\nAnswer: 2*x**2 + 7*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Round -362670 to the nearest one thousand.\nAnswer: -363000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 0.5  (b) 1\/7  (c) -2  (d) -3  (e) -0.12\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*v**2\/5 - 2094*v\/5 - 4148 = 0. Calculate v.\nAnswer: -1037, -10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 168 - 164. Let n be (-114)\/(-5)*10\/v. Calculate the greatest common factor of 38 and n.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(q) = 29*q**3 + 106*q**2 - 4*q + 2. Let s(n) = -157*n**3 - 528*n**2 + 21*n - 11. What is 11*j(p) + 2*s(p)?\nAnswer: 5*p**3 + 110*p**2 - 2*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -17 - -23. Suppose 3*j + 3*p + 13 = -2*p, -4*j - p = t. Which is smaller: -2 or j?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -o**3*s**2 - 20*o**3 + o**2 + 2*o*s**3 - 18*o*s with respect to s.\nAnswer: -2*o**3*s + 6*o*s**2 - 18*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from iesnsnqqiean. Give prob of sequence naq.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*k - 40 = -15. Put k, -0.3, 2\/9, 1\/5 in decreasing order.\nAnswer: 2\/9, 1\/5, -0.3, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -105\/1292 and 97\/697622.\nAnswer: 450663812","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 9 - 5. Let l = f + 0. Solve l*o - 9 = o for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 52\/(3 + -1) + 0. Let j = 8 - m. Let d = 1 - j. What are the prime factors of d?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (0 - (-1)\/2)*8. Let q(f) = f**2 - 3*f - 5. Let s be q(a). Let w be s\/2 - 1\/(-6). Is w < 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(g) be the second derivative of -g**8\/672 - g**6\/40 - 3*g**4\/2 + 15*g. Let v(l) be the third derivative of o(l). Find the second derivative of v(a) wrt a.\nAnswer: -60*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -62, 1\/10, -0.5, -27 in increasing order.\nAnswer: -62, -27, -0.5, 1\/10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 3\/43  (b) 2  (c) -1621470\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 19018 is divided by 51?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 12132389 to the nearest integer?\nAnswer: 230","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -5 + 1562.6.\nAnswer: 1557.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 33 and 1002.\nAnswer: 11022","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*z**2 + 0 + 0)*(173 - 173 + 57*z**3).\nAnswer: 114*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let p(l) = 5*l**2 - 2*l - 2. Let k = -18 - -20. Give p(k).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(k) = -k**3 + 3*k**3 - k - 1 - 5*k**3 + k**2 - k**3. Let f be (1 + 0)*(-3)\/3. Let a be d(f). Solve 7 = 5*r + h, 4*h + h = 5*r + a for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.2122602517 to 3 dps.\nAnswer: 0.212","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of 442, 345, 222, 67, -126, -363, -650, -993?\n\"Answer: -x**3 - 7*x**2 - 69*x + 519","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -3348875.3 rounded to the nearest one million?\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let h(d) = d**3 + 6*d**2 - 6*d - 9. What are the prime factors of h(-6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 1.526187 - -336.512413. Let z = -338 + i. Let y = z - 0.063. What is y rounded to three decimal places?\nAnswer: -0.024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(c) = c**2 - 15*c - 4. Let p be h(17). List the prime factors of -6*3\/(-135) + 2546\/p.\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 229, -190, -905, -1928, -3271?\nAnswer: -4946","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 3602542904?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0008044 rounded to six decimal places?\nAnswer: -0.000804","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 1159 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let n(l) = l - 9. Let u be n(13). Let h(i) = 3*i**2 - 2*i**2 - 1 + u. Let t be h(0). Solve -j + t = 1 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 46109 is divided by 5979.\nAnswer: 4256","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: 10132323130 (base 4) to base 6\nAnswer: 41105004","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 9887546 to the nearest integer?\nAnswer: 215","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (38 - 48) + 18 - 49.\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 2123010 (base 4) to base 12\nAnswer: 58b0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 136414335.\nAnswer: 3, 5, 9094289","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: -323100 (base 4) to base 14\nAnswer: -154c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-20)\/30*(-9)\/2.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 9*l - 32 - 4. Suppose -8 = l*f - 4*p, 2*f - 5*p - 1 = -20. Suppose -i - 4 = 2*g - f, 5*i = g - 16. Solve 0 = t + 2*k - g + 12, -21 = t + 4*k for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(h) = -5*h. Let a(t) be the first derivative of -t**3\/2 + 12*t + 8. Let b(q) be the first derivative of a(q). Give 8*b(g) - 5*u(g).\nAnswer: g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify g**1*g\/(g\/(g*g*(g\/(g*g*(g*g**(1\/2)*g)\/g))\/g))*(g*g*g**0)**37*g\/g**(1\/4)*g\/(((g\/g**(-1\/3))\/g)\/g)*(g\/g**(-1))**(5\/7) assuming g is positive.\nAnswer: g**(6497\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(108) + 1 + sqrt(108))**2.\nAnswer: 24*sqrt(3) + 433","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 5 - (-64)\/352*(-11)\/2. Let m(w) = w + 12. Let s be m(-5). Let o = s - 4. Solve -k = o*i - 12, 0*i = -j*k - 5*i + 13 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let 661054*s**4 - 35035858*s**3 + 512316638*s**2 - 1239473150*s - 7500 = 0. What is s?\nAnswer: -2\/330527, 3, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -8*c - 8*c - 3 - 11*c + 3*c + 39*c - 78.\nAnswer: 15*c - 81","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 87 - 105 = -6*w. Which is the closest to 1\/3?  (a) w  (b) 1\/2  (c) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -6  (b) -2\/29  (c) 0.2  (d) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 1677 or 0.1?\nAnswer: 1677","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -21  (b) -0.5  (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:07 PM and 10:02 PM?\nAnswer: 535","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3582 - 3582 + 50*k + 0*k + 0*k - 2*k + (0 + 0 + 2*k)*(-4 + 1 + 1))*(-2*k**4 + 0*k + 0*k).\nAnswer: -88*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let x(z) be the third derivative of 4*z**6\/15 - z**5\/12 + 3*z**4\/8 - 5*z**3\/6 + 5988*z**2. Let k(u) = 48*u**3 - 8*u**2 + 14*u - 8. Give -5*k(h) + 8*x(h).\nAnswer: 16*h**3 + 2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 y and 1 q when two letters picked without replacement from qqqxyxqxxxxqxqxqq.\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1589*i = -1587*i + 2*d + 4, 2*i - 20 = 4*d for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Factor q**3\/2 - 10601141*q**2\/2 + 63606819*q\/2 - 95410215\/2.\nAnswer: (q - 10601135)*(q - 3)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: 4 (base 10) to base 8\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let v be ((-352)\/33 + 8)*(-3)\/2. Let n be 8\/10*(-5)\/(-2). Solve -v = n*f - f for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(f) = 13*f**2 + 8. Let t be x(8). Suppose t = -8*s + 4*s. What is the remainder when s\/12*(-2 + 0) is divided by 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((q*q**(2\/9)*q)**20)**(-1\/13) assuming q is positive.\nAnswer: q**(-400\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*b + 2 - 2)*(-b + b + b) - b**2 - 4 + 4 + 0*b**2 - 2*b**2 + 4*b**2 + (b + 3*b - 5*b)*(-2*b + 6*b + b).\nAnswer: -6*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4 + (-2*-1*sqrt(68))\/sqrt(4)*-3.\nAnswer: -6*sqrt(17) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of 6147, 6147, 6119, 6063, 5979, 5867, 5727?\n\"Answer: -14*h**2 + 42*h + 6119","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -43450 divided by -8690.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*k + 9 = 2*u, -3*k - 1965*u - 7 = -1967*u for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -0.03  (b) 2\/7  (c) 2\/9  (d) -1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let v(i) = 6*i - 29. Let g be v(7). Suppose -g*j = -2*j - 440. Calculate the remainder when j is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(u) = u**2 + 5*u + 8. Let z be v(-4). Suppose -w - 22 = -x - 0*w, 0 = -z*w - 12. Let a = x + -17. Solve 2*n - 12 = -a for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -1b6 + -38c?\nAnswer: -575","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 577477\/21 - 16*35\/(-5880) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -44*z + 955 = 47*z + 40*z - 7691 for z.\nAnswer: 66","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 362 a factor of 824680?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 65579056 to the power of 1\/3, to the nearest integer?\nAnswer: 403","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let t(u) = -2 + 5*u - 12*u**2 + 20*u**2 - 8 + u**3 + 0*u. Let y = -5 - 2. Let p be t(y). Solve -p*w - w = 0 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let -25*l**2\/2 + 20490*l = 0. Calculate l.\nAnswer: 0, 8196\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Divide -48682970 by -4868297.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 265021 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 0.104 - 0.004. Let u = 0.2 + 0. What is the nearest to z in u, -119, -0.1?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (18\/(-90))\/((-6)\/12).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((v**(-39)*v)\/(v**(-36)*v*v))\/((v**(2\/5)\/v)\/v*v)**18 assuming v is positive.\nAnswer: v**(34\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 165 is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let f(r) = -4*r**2 + r - 6. Let z(d) = -3*d**2 + d - 6. Let q(c) = -f(c) + z(c). Let m(a) = -4 - 5 + 11 + 95*a**2. What is q(m(o))?\nAnswer: 9025*o**4 + 380*o**2 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -85\/260928 and -47\/5582168.\nAnswer: 1205748288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (-44)\/22 - 2\/((-6)\/7). Solve -2\/3*x - b*x**2 - 1\/3 = 0 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 8728 - 8508. Solve -18 = -5*x + p, 21 = -215*x + u*x - 2*p for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 218\/436*2*(-2 - (2 - 2)). Let r(x) = -7*x + 2. Let u(j) = -3*j + 1. Let i(a) = 4*r(a) - 9*u(a). Give i(p).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 38*q**2*x**2 + 40*q**2*x - 17*q**2*z**3 - 2*q**2*z + q*x*z**3 - 86*q*z**3 - 5*z**3 with respect to x.\nAnswer: 76*q**2*x + 40*q**2 + q*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Expand -w**5 + 2*w**5 + w**5 + (29 + 22*w - 29)*(6*w**4 - 10*w**4 + 8*w**4).\nAnswer: 90*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 3163 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence zzc when three letters picked without replacement from {c: 6, e: 7, z: 2}.\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1574*a - 1579*a + 15 = 0 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 2 - -4?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 0.879 + -0.079. Let z = 0.2 - 2. Let a = z + b. Sort 2, 3\/5, a in descending order.\nAnswer: 2, 3\/5, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(d) = -d**2 + 6*d - 6. Let a be c(5). Let m be -1*(-2 + 2 + 1)*a. Which is bigger: -1 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 4442195 is divided by 12951.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -513.187 + 513. Which is smaller: -1\/3 or u?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2240189 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*l**2 + l**2 + 0*l**2)*(0*l**3 + l**3 - 3*l**3) + (-1 + l + 1)*(-l**4 - 2*l**4 + 2*l**4) + (-l + 0*l + 0*l)*(0*l**4 - 3*l**4 + l**4).\nAnswer: 3*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 2337719 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is -322 minus 0.75?\nAnswer: -322.75","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {u: 3, h: 4, w: 7, x: 5}. What is prob of picking 2 w?\nAnswer: 7\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: 13 (base 9) to base 6\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let r(i) = 4*i - 16. Let u be r(5). Let c(d) = 6*d**3 + 6*d**2 - 6*d - 4. Let f(h) = 17*h**3 + 17*h**2 - 17*h - 11. What is u*f(n) - 11*c(n)?\nAnswer: 2*n**3 + 2*n**2 - 2*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:32 PM and 2:38 AM?\nAnswer: 186","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -0.03 + -0.77. Let t = s + -1.5. Let q = -1.9 - t. Put 2, q, -0.1 in increasing order.\nAnswer: -0.1, q, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(v) = v**3 - v**2 + v + 1. Let c(b) = 36*b**3 - 2*b**2 + 3*b + 2. Calculate -c(r) + 2*f(r).\nAnswer: -34*r**3 - r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let v(p) = p**3 + 11*p**2 - 5*p + 23. Let a be v(-11). Find the third derivative of -2*f**6 + 0 - a*f**2 + 0 + 83*f**2 wrt f.\nAnswer: -240*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 49754963 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 33064\/32 - (7\/(-4) + 2). Let p = q + 1794. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:37 AM and 7:40 AM?\nAnswer: 63","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 5 + 10. Suppose -s + 12 = -4*g + 4, 4*s + g - k = 0. Let z be (0 + s\/(-4))*-4. Let m(v) = -v**2 + 4*v + 1. What is m(z)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose a**3 + 989428*a**2 + 244743920640*a + 978959851776 = 0. Calculate a.\nAnswer: -494712, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*n + 4049 = 2*g, 4*n - 521 = g + 4896. Suppose k + 3885 = -2*o, 0 = -5*o + 2*k + 3*k - 9720. Let i = n + o. Round i to the nearest 100.\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 11048433?\nAnswer: 3, 11, 53, 6317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: 10\/((-100)\/(-6))*5\/30*95\nAnswer: 19\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3530, -13, -3, -5, 3, -1, 21 in decreasing order.\nAnswer: 21, 3, -1, -3, -5, -13, -3530","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 8 + (-39 - -6) - (6 - 14).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-3)\/(-24))\/((-35139)\/(-624) + -53).\nAnswer: 2\/53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 14\/(-21) + 28\/6. Suppose -k*z + 18 = -2*z. Suppose -2*p + 13 = -z. What are the prime factors of p?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2189 is divided by 541.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 g, 1 v, and 2 y when four letters picked without replacement from gevvvvbbymye?\nAnswer: 4\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*a = -5*g + 5, 3*a - 4 + 5 = g. Solve 2*k + 4 = -a*k - 4*p, -k - 1 = 3*p for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 33*d**2 + 13 - 5*d - 2*d**2 + 17*d**2.\nAnswer: 48*d**2 - 5*d + 13","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Express (v - 7*v**2 + 9*v**2 + 5*v)*(-57 + 73173*v + 73196*v - 146386*v) as u*v**2 + g*v**3 + c*v + x and give g.\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -3.3 in 3\/8, 0.3, -16, -0.4, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 1147017382 to the nearest integer?\nAnswer: 1047","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence bbm when three letters picked without replacement from {m: 1, b: 2}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*i - 3 = 0, -m - 46*i + 43*i + 7 = 0 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -369, -685, -1005, -1329, -1657?\nAnswer: -1989","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 511*f**3*h**3*r**2 - 32*f**3*r**3 - 1439*f**2*h*r**3 - 2*f*h**3*r**3 - 7*f*h**3*r**2 wrt f?\nAnswer: 3066*h**3*r**2 - 192*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 7710255 is divided by 31.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*h + 9 = 39. Are h and -4 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -149*m - 2816 = -325*m for m.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Round 84321900 to the nearest one million.\nAnswer: 84000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*p - 9 + 14 = 0. Which is greater: -1\/3 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the sixth smallest value?  (a) -321  (b) -2\/3  (c) -240  (d) -0.5  (e) 1  (f) -2\/7  (g) 1\/12\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 77\/3475236 or -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -1157.4 + 1157. Which is the third biggest value?  (a) -4\/3  (b) -0.02  (c) s  (d) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*p - 2*p + 2*q + 4 = 0, 3*p - 10 = 5*q. Let b = p + 6. What is the units digit of 3\/9 + 10\/b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 5086 + -5097. Let f(q) = q**2 + 8*q - 25. Give f(o).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -99549, -99576, -99603, -99630, -99657, -99684?\nAnswer: -99711","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let r(j) = 139 - 6*j**2 - j - 12*j - 120. Let b be r(13). Let m = 337 - b. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let -100*t**4\/7 + 140*t**3 - 2816*t**2\/7 + 1936*t\/7 = 0. What is t?\nAnswer: 0, 1, 22\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 288 + -286. Suppose 0 = 3*x + 5*z + 4, 2*x + 4*z = -0*x - 4. Solve -x*v + k*d - 18 = 3*v, d + 13 = -3*v for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (m\/(m*m\/m**(-12)))\/m**(16\/3) assuming m is positive.\nAnswer: m**(-55\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-q - 5*q + 3*q)*(0*q - 3*q + 0*q) + (-q + 2*q - 4*q)*(-2 - 2*q + 2) - 6*q + 6*q + 26*q**2.\nAnswer: 41*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let w be -9*4*2\/(-12). Let o = 0.39 + -0.49. What is the second biggest value in 1, o, w?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 19, 0.2, -1 in increasing order.\nAnswer: -1, 0.2, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-6)\/15 - (-36)\/15. Let b be (z + -3)\/(3\/(-6)). Solve 0 = 4*w - b + 22 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -9*v**2 - 10*v**2 + 38*v**2 + 5*v**2 - 3*v**2.\nAnswer: 21*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let b(x) = -x. Let l(v) = v**3 + 5*v**2 + 2. Let t be l(-5). Let m(g) = 5*g + 0*g - t*g. Calculate m(b(q)).\nAnswer: -3*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let m(h) = -h**2 + 3*h + 3. Let g(n) = n**2 - n - 1. Give -12*g(s) - 4*m(s).\nAnswer: -8*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 8423963.3 rounded to the nearest one hundred thousand?\nAnswer: 8400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 60 a factor of 12620652?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -39 - -312. Calculate the remainder when l is divided by 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*z + 3*r + 1 = 2*z, -4*r = -2*z - 2. Let s be (-186)\/(-15) - 2\/z. Let 3*f**2 + 6*f - 7*f + s + 13*f = 0. What is f?\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -4018*r**3*s*u + 356*r**3*u + 10*r**2*u - 302034*r*s*u wrt r.\nAnswer: -24108*s*u + 2136*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (7 - 2)*(-22)\/5. Suppose -2*q + 20 + 24 = 0. Let y = q + s. Solve -a - 5*g - 10 = -2*g, 3*a - 2*g - 3 = y for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {w: 1, b: 4, k: 2, d: 3, j: 1}. What is prob of sequence kkd?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 67\/4 of a decade in months?\nAnswer: 2010","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (p**(1\/5)*p\/(p\/(p*p*p\/p**0*p)*p))**(1\/2)\/((p\/p**(-1\/2))**(-21))**42 assuming p is positive.\nAnswer: p**(6623\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let v(g) = 10*g - 2. Let c(m) be the second derivative of 5\/6*m**3 + 4*m + 0 - 1\/2*m**2. What is 11*c(s) - 6*v(s)?\nAnswer: -5*s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 22222300 - -5?\nAnswer: 22222305","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1692*f = -188*f - 43294 + 10206 for f.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let b(w) = 523*w - 3149. What is b(6)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -270 + 485. Suppose 3*r + r - 294 = 5*m, -m - z = -3*r. Let c(k) = r*k - 44*k - 55*k. Let p(f) = -f. Calculate p(c(i)).\nAnswer: 28*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*s = -3*x - 1, 121 = -3*s + 5*x + 91 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 251 divided by -39?\nAnswer: -251\/39","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Sort -50798, -952, -5.\nAnswer: -50798, -952, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 3231430*k**3 + 2854*k - 778.\nAnswer: 19388580*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let g(m) = m**2 - 2*m + 3. Let s be g(0). Is 10 + -2 - s*1 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*x = x - 12. Let g(s) = -2*s**2 + 4*s. Let n be g(x). Let o = n - -17. What is the remainder when o is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(2448) - (1*(sqrt(2448) - sqrt(2448)*-1))**2)*1 + (1*sqrt(1836))\/(sqrt(18)\/(sqrt(18)\/sqrt(3))).\nAnswer: -9792 + 18*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 1068.3427 rounded to the nearest 10?\nAnswer: 1070","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 217239.75 milliseconds in hours?\nAnswer: 0.060344375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*o + 20 = 2*n, -o - 5*n + 21 = -3. Find the common denominator of -91\/18 and o\/(-22) - (-333)\/(-44).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(m) = -m**2 + 9*m - 8. Let q be o(7). Let h = 13 - 6. Suppose -h*c = -2*c - 5. Solve -q*u + 5*u = c for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 57767 - -44450. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1 - (8 - (-5 - -15)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2648*x - 134*x + 101*x.\nAnswer: -2681*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve -266 + 8 = 43*h for h.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*s = -3*b - 73 - 48 + 135, 5*b - 32 = s for b.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 75\/3470884 and -137\/372.\nAnswer: 10412652","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: -4446+0.08\nAnswer: -4445.92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Express p - 3 - 5*p - 12*p + (1 + 5 - 4)*(-p + 5*p - p) in the form b + s*p and give s.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 522 is divided by 496.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let n be -1 - (-128)\/72 - (-2)\/(-2). What is the third biggest value in 1\/3, n, 4?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0000024587724 rounded to 7 decimal places?\nAnswer: 0.0000025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 8 and 284?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 1822195 and 1368?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 722610?\nAnswer: 2, 3, 5, 7, 31, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let z(u) = -u**3 - 9*u**2 - 5*u + 26. Let o = 760 + -768. Let k be z(o). Solve -5*m = r - 4, 3*r + 0 = -k*m - 1 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 62 + -66. Sort -2\/5, 1\/6, -2\/19, v in descending order.\nAnswer: 1\/6, -2\/19, -2\/5, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 17, -0.4, -2.17, -4, -17, 0 in descending order.\nAnswer: 17, 0, -0.4, -2.17, -4, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let j(i) be the second derivative of 5*i**3\/6 + 5*i**2 + i. Let x = 17 + -10. Let u be j(x). What is the highest common factor of 5 and u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((v*v*v**(3\/2)*v*v)\/((v**(-3)*v)\/v))\/(v**(2\/3))**42 assuming v is positive.\nAnswer: v**(-39\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4*o**2 - o**2 - o**2)*(6 + 4*o**2 - 6) - 6*o**4 + o**3 + 5*o**4 + 3*o**3.\nAnswer: 7*o**4 + 4*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of -25429, -51557, -77685, -103813, -129941, -156069?\n\"Answer: -26128*m + 699","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let p(q) be the second derivative of q**4\/12 - q**3\/6 - 44*q - 2. What is p(4)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -4 (base 15) to base 12.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4 + (sqrt(132)\/sqrt(12) + -5 - sqrt(11)) + (sqrt(1584) - (sqrt(1584) + -5)*4 - sqrt(1584))**2 + sqrt(1584).\nAnswer: -1908*sqrt(11) + 25735","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 106248251 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let l be ((-2)\/(-6))\/((-10)\/(-30)). Sort 1\/2, l, 4\/3.\nAnswer: 1\/2, l, 4\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put together -0.19 and -0.47.\nAnswer: -0.66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 248743 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let x(p) = 14*p**2 + p. Let m be x(-1). Let v be -1*(10 - -2) - 58\/(-29). Let t = m + v. Is 4 bigger than t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -0.11 and 0.6376421?\nAnswer: -0.070140631","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let w(d) = 23 - 30 - d**2 + 6*d**2 + 2*d**2 - 3*d**3. Let y(q) = 2*q**3 - 6*q**2 + 6. What is 6*w(i) + 7*y(i)?\nAnswer: -4*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is -2373312 rounded to the nearest one million?\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 2 - -19. What is the highest common divisor of k and 189?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 8526.6 rounded to the nearest one thousand?\nAnswer: 9000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 476 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 159 - 53. What are the prime factors of i?\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 11*d - 10*d = 170. Find the third derivative of 2*f**5 - 170*f**4 + d*f**4 - 2*f**2 wrt f.\nAnswer: 120*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 107902290 a multiple of 610?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (30\/135)\/(3\/81).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 12*q - 225799 + 10663 = 0. What is the ten thousands digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 263762 and 28466.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Divide 724 by -181.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 16623 is divided by 3239?\nAnswer: 428","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -4*0.7173.\nAnswer: -2.8692","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 5 + -3. Let c(j) be the second derivative of j**5\/20 + j**4\/6 + j**3\/6 - j**2 + 2*j. What is the smallest common multiple of c(q) and 6?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (52*f**2 + 23*f**2 + 46*f**2)*((f + 6*f + 14*f)*(0 + 2 - 1) + (-1 - 2*f + 1)*(-3 + 4 - 3)).\nAnswer: 3025*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 31a919 - a?\nAnswer: 31a90a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1857945 is divided by 371524?\nAnswer: 325","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*h + 6 + 0 = 0. Suppose -4*o = 2*m - 34, -3*o + h*o = 4*m - 12. Solve -4 = -x - 5*t, 3*x - x = t + o for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -43\/27 + -2\/27. Let q be 4\/16 - 28411\/(-4). Let i = q + -78081\/11. Find the common denominator of o and i.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -128 + 37. Let p = -93 - t. Which is the nearest to p?  (a) -0.6  (b) -0.4  (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 5*y**3 + 1020*y**2 + 53025*y + 102010.\nAnswer: 5*(y + 2)*(y + 101)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:45 PM and 3:42 AM?\nAnswer: 597","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*z - 13 = 8. Let s be (-8 + z - -4)*-5. Sort s, 1, 0 in descending order.\nAnswer: s, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"}
{"text":"Question: Convert 44.594 kilograms to milligrams.\nAnswer: 44594000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1028377 is divided by 1970.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let v(m) = -2*m**3 + 37*m**2 + 51*m - 25. What is the lowest common multiple of 15 and v(15)?\nAnswer: 6945","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -14837191\/4 or -3709299?\nAnswer: -3709299","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let h be -1*(15\/(-21) + 1)*(277 - 410). Calculate the greatest common factor of 22534 and h.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(r) be the second derivative of 19*r**6\/225 + 4*r**5\/15 - 43*r**4\/30 + 62*r**3\/45 + 8*r**2\/15 - 410*r. Let l(z) = 0. What is z?\nAnswer: -4, -2\/19, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -1922931371\/53138 + 72375\/2. Is u < 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(h) = -h**3 - h**2 + 1. Let y be o(-2). Let w(b) = -30*b**2 + 3*b - 5. Let z be w(y). Round z to the nearest one hundred.\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*b + 27 = -2*o - 4*b, 0 = -o + 2*b - 21. Suppose 4*f = 4*k + 52, k + 2*f = -f - 21. Is k less than o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 0 + 106*k**3 + 0.\nAnswer: 106*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -j - 115 = 3*n + 4994, 4*j = -3*n - 5118. Let q = n + 428903\/252. Let u = -247\/36 - q. What is the common denominator of u and -3\/10?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -f + f - 3*f**2 + (-10 - 4*f + 10)*(-1 + 1 - f).\nAnswer: f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 21 and 23016.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.17672441 - 375.5488.\nAnswer: -375.72552441","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 375 to the power of 1\/2, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1\/2?  (a) -5  (b) 0.8  (c) 2\/9  (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*h + 66 = h. Let d = 75 - h. Suppose 4*s = 5*f + d, -s + 2*s = f + 26. Does 22 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 624 minutes before 9:24 AM?\nAnswer: 11:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: (-28)\/(-1140)*7110\/4977\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 3917 - 1509. Let t = j - 91. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1\/2 in 3\/11, 0.5, -949, -5, 2?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 935\/(-340)*2*2 - -6. Put -0.004, 0, -1\/4, m in increasing order.\nAnswer: m, -1\/4, -0.004, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many seconds are there in 1\/5 of a day?\nAnswer: 17280","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Do -79 and -80 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 351 + -335. Which is the smallest value?  (a) 2  (b) o  (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (7 - (6 - 2) - 5) + -3.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Convert 68208.16 days to minutes.\nAnswer: 98219750.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 10*(162\/(-30) + 5). Let l(o) = -o**2 - 3*o + 4. Let k(h) be the first derivative of -h**2\/2 - 8. Let z(x) = 3*k(x) - l(x). Give z(j).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 1745*n - 188*n - 449*n - 413*n - 226*n in the form l*n + c and give l.\nAnswer: 469","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (r\/r**(-1\/8)*r**5)\/(r*r*r**(-4\/3)*r*(r\/(r\/(r\/r**(-1\/5))))\/r) assuming r is positive.\nAnswer: r**(511\/120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Work out 2494.2 - 14789317.\nAnswer: -14786822.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let n(b) = -13*b**2 - 7*b - 65. Let m(x) be the first derivative of -4*x**3\/3 - x**2 - 22*x - 3465. Give 7*m(t) - 2*n(t).\nAnswer: -2*t**2 - 24","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Convert -176738 (base 10) to base 9.\nAnswer: -288385","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort 5, 20\/9, 1, 0.06, -0.3.\nAnswer: -0.3, 0.06, 1, 20\/9, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 180457729.\nAnswer: 127, 701, 2027","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: 136\/40 + (27\/5)\/(-1) + 5\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify b**(-1\/2)*b**(2\/7)*b*b**(-6\/11)*b*b\/b**(2\/11) assuming b is positive.\nAnswer: b**(317\/154)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Convert 192.3415 kilograms to grams.\nAnswer: 192341.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 60 = -3*b - 3*q, 0 = -3*b - 4*q - 78 + 13. Let o = 39 + b. Is o a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 314\/5 - 63. What is the closest to 0.8 in 1, -4, a?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 6 - 6. Differentiate -10*q**4 - 9 + x*q**4 + 15 with respect to q.\nAnswer: -40*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 8016971 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 1.838354051 rounded to 4 decimal places?\nAnswer: 1.8384","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:53 PM and 12:56 AM?\nAnswer: 63","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of -3055, -12214, -27481, -48856, -76339?\n\"Answer: -3054*p**2 + 3*p - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 1755623?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 58954756139 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 51\/260 and -137\/540.\nAnswer: 7020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of 5681, 5675, 5665, 5651, 5633, 5611?\n\"Answer: -2*n**2 + 5683","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 0.26 + -0.76. Which is the smallest value?  (a) 13  (b) -1\/4  (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of 132, 138, 150, 168, 192, 222?\n\"Answer: 3*t**2 - 3*t + 132","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let k(a) = -27*a**2 + 5*a - 10. Let b(d) = -418*d**2 + 77*d - 154. Let g(f) = -5*b(f) + 77*k(f). Let q(t) = 4*t + 2. Calculate q(g(n)).\nAnswer: 44*n**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: 19377186536 - 0.2\nAnswer: 19377186535.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(19) + (sqrt(19) - (sqrt(228)*2)\/sqrt(12))**2 + -5 - (-2 + -2*sqrt(19))*4.\nAnswer: 22 + 9*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.1372 to one dp.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 62115688 and 54351227?\nAnswer: 434809816","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Sort 4, 5, 1, -2 in decreasing order.\nAnswer: 5, 4, 1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 7711 + -7704. What is the remainder when 69 is divided by q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(x) = 32*x - 475. Let o be y(15). Which is the nearest to 9.8?  (a) 0.2  (b) 1  (c) 0.5  (d) o\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -10*h + 11 + 140 = -29 for h.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 2\/5, 0.01, -645, -1, -5, -2?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is -7.9398 at most as big as 2\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -3*l*w**2 - 3*l*w + 1132*l + 3*w**3 - 2*w**2 wrt w?\nAnswer: -6*l*w - 3*l + 9*w**2 - 4*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 13\/(39\/62)*(-3)\/(-2). Solve 0 = -27*f + 112 - y for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: -32503 (base 13) to base 9\nAnswer: -147647","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((c\/c**(-6)*c*c**(3\/5))\/((c\/(c*c**5*c))\/((c\/(c**(-3)\/c))\/c)))\/((c**(2\/3)*c)**1\/(((c*c**5*c)\/c)\/c**(-2\/3))) assuming c is positive.\nAnswer: c**(118\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 2234 + 5359?\nAnswer: 7593","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*x - 4*c = -2, -2*c = -4*x + 3*c + 13. Suppose 0 = -x*z + 2*m + 12, 5*z - 15 + 5 = m. Solve 2*y - 3*d = 9, y + z - 2 = -2*d for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -1.8 + 2. Let c = 22 - 148. Let o = 126.07 + c. Is p bigger than o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -32559*i**2*n**3 + 180*i**2*n**2 + 2*i**2 - 659884*i + 25 with respect to n.\nAnswer: -97677*i**2*n**2 + 360*i**2*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 85641?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*i - 11 = -23. Let y be 2*(-36)\/((-3)\/1). Suppose -y = -i*x - 12. Solve -t = -x*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 60 = 7*p - 2*p. What is the remainder when 23 is divided by p?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(h) = -h + 15. Let c be s(11). Suppose -4*i + 4*g = 12, -i + c*i + 5*g = 15. Suppose -m = -i*m - 6. What is the greatest common factor of 4 and m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of 1028, 1093, 1202, 1355?\n\"Answer: 22*z**2 - z + 1007","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ih when two letters picked without replacement from {i: 3, h: 12}.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (y**(-5)\/(y**(-10)*y))\/((y**(-1\/10)*y)\/(y\/y**6*y)) assuming y is positive.\nAnswer: y**(-9\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 2744219 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: How many seconds are there in 17\/4 of a minute?\nAnswer: 255","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 1245 or 461364\/371?\nAnswer: 1245","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let s(h) = -7*h + 5. Let l(t) = -6*t + 4. Determine -3*l(p) + 2*s(p).\nAnswer: 4*p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*o = -8*b + 31, 5*b + 6 = -o + 19. Solve -o*p - 4*z + 23 = -8*z, 4*p - 16 = -2*z for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -55 - -53.3. Let m = 1.3 + q. Let h be (-1)\/4 + 1\/1. Which is the smallest value?  (a) 0.09  (b) m  (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 41*b + 90 = 71*b. Let u(s) = 3*s**3 - 5*s**2 + s + 4. Calculate u(b).\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 546330 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -999 - -3997\/4. Which is smaller: 13 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(n) = 3*n**3 - 47*n**2 + 42*n - 35. Let y(o) = -2*o**3 + 31*o**2 - 28*o + 23. Let d(l) = -5*i(l) - 8*y(l). What is the units digit of d(12)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 9\/(-3)*(-12)\/9. Suppose 2*a - 2 = -2*w, 3*a = -5*w + g*a + 11. Suppose 0 = w*j - 0*j - 70. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -o - 2*p - 2 = 0, -o - 13 = -2*o + p. Suppose -6 + 15 = 3*q. Let s = q + o. List the prime factors of s.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 24*b - 39*b + 16*b.\nAnswer: b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve 15226*j - 15275*j = 1568 for j.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: (-2 - -7) + -6 + (10 - 7)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 360 a multiple of 72?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is -28 at least -30?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let -3*s**3\/7 - 1077*s**2\/7 + 5320752*s\/7 + 15971868\/7 = 0. What is s?\nAnswer: -1522, -3, 1166","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((u*u\/((u*u\/(u\/u**(1\/3))*u*u)\/u))\/(u*(u\/(u\/u**(4\/9)))\/u))**(22\/5) assuming u is positive.\nAnswer: u**(-154\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -143 - -141. What is the nearest to -6 in d, 4, -2\/3?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*c + 2*c = 12. Let x be (-28)\/(-35)*(0 + (-5)\/(-2)). Suppose x*q + 224 = c*q. Calculate the remainder when q is divided by 19.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -1 - -4. Let a(c) = 3*c**2 + 10*c + 23. Let o(u) = -7*u**2 - 19*u - 45. Let j(w) = 5*a(w) + 2*o(w). Let i be j(-10). Sort z, i, -2 in increasing order.\nAnswer: -2, z, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 467 minutes after 6:15 PM?\nAnswer: 2:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 5121*f**6 + 2*f**4 - 23*f**2 - 2*f?\nAnswer: 614520*f**3 + 48*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 90 and 10445913?\nAnswer: 104459130","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: (2\/8)\/((-33)\/66)\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(a) = -2431*a**3 - 11*a**2 + 5*a - 7. Let q(i) = 1216*i**3 + 6*i**2 - 3*i + 4. Let o(v) = -6*d(v) - 11*q(v). Is o(1) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(c) = -117*c**3 - 3*c + 4. Let p(o) = -117*o**3 - 4*o + 6. Give 4*f(g) - 3*p(g).\nAnswer: -117*g**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let i(a) = 208*a**2 - 3*a - 3. Let l be (-2 - 8)*17\/34. Let j(t) = -1. Let w(c) = l*j(c) + i(c). List the prime factors of w(1).\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be -1*(-8)\/(-2)*(41789\/(-870) + 48). Let k(u) be the third derivative of 0 + 0*u**3 + 0*u - 1\/3*u**4 - 1\/60*u**6 - x*u**5 - 12*u**2. Solve k(i) = 0 for i.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (36\/18)\/(3\/(-507)*-13).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between -1.3584413 and 27?\nAnswer: 28.3584413","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let a(z) = -z - 1. Let k(o) = o**2 + o - 1. Let b(g) = g**2 - 5*g - 13. Let x(v) = b(v) - 2*k(v). Let h(q) = 44*a(q) - 4*x(q). Factor h(y).\nAnswer: 4*y*(y - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 6*c**2 + 10*c**3 - 2*c**2 + 3*c**2 wrt c?\nAnswer: 60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {k: 3, b: 3}. Give prob of picking 2 b and 1 k.\nAnswer: 9\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 72 + -39. Let f = 6 - -42. Let x be 18\/f - 84\/(-32). Calculate the greatest common divisor of v and x.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 743162 and 7630.\nAnswer: 1526","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -6\/7?  (a) -4  (b) -1353  (c) 1310\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 8973 is divided by 106.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1877276864?\nAnswer: 2, 29332451","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: 1 + -8 + (-15 - (-12 + 5)) + 8\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 11*t + 8*t = 152. Let y be (t\/6*-1)\/((-3)\/9). Solve -2*s + 2*c - 10 = 0, y*c - 20 = -s + 3*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*t - 3059 = 3393. Suppose -36013 = -z - t. What is z rounded to the nearest 10000?\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 359244 divided by -359244?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*y = -0*y - 24. Let x(z) be the second derivative of z**4\/12 + z**3 + 5*z**2\/2 - 32*z - 1. Let q be x(y). Is q at most as big as 6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3731851 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let l(b) = 93*b**2 - 3*b + 4 - 188*b**2 - b + 94*b**2. Let d(y) = 0*y - y**2 - 5 + 5*y + 2*y**2. Give -3*d(q) - 4*l(q).\nAnswer: q**2 + q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 28\/12*12\/294*6\/(-8)?\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -111 + 10?\nAnswer: -101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 42433 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 46745?\nAnswer: 5, 9349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 0.64 - 3.94. Round x to zero decimal places.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of -29638, -58353, -87068, -115783, -144498?\n\"Answer: -28715*j - 923","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let f(m) be the first derivative of m**4\/4 - 3*m**3 - 21*m + 27. Let y(c) = -2*c - 8. Let j be y(-9). What is the units digit of f(j)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: -132 divided by 2\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4*v**2 - 2*v**2 + 0*v**2)*(v - 3*v + 3*v) - 31*v**3 + 387*v**2 + 21*v**3 - 469*v**2.\nAnswer: -8*v**3 - 82*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {a: 4, l: 2, v: 2, o: 2, j: 4, n: 1}. Give prob of picking 1 j and 1 l.\nAnswer: 8\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((sqrt(140) + sqrt(35))\/sqrt(7) + 2)**2 - sqrt(35)\/(sqrt(7)*1)*-2)*-2.\nAnswer: -98 - 28*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 1158 - 1156.537. Round r to 1 decimal place.\nAnswer: 1.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 1517381 and 11?\nAnswer: 16691191","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from zzeyzzwyyzm. What is prob of sequence yzym?\nAnswer: 1\/264","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let s(g) = 6*g**2 - 1. Let a = 73 + -74. Let x be s(a). Solve 0 = -3*t - x*z - 9 - 3, 4*t = 4*z + 16 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify i**17*i\/i**(2\/51) assuming i is positive.\nAnswer: i**(916\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (s*s**(1\/5)*s*s**(2\/15))**(16\/3)\/((s**(2\/5)*s)\/(s**(2\/17)\/s))**18 assuming s is positive.\nAnswer: s**(-21908\/765)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 120092770*p**3 - 2004756*p**2 - p + 17 wrt p?\nAnswer: 720556620","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let m(c) = -708*c - 4951. Let o be m(-7). Solve 4*i = -4*u + 12, -9*i + 12 = -u - o*i for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 107645643 to the power of 1\/5, to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let a(c) = -c**2 + 3*c + 3. Let l(y) = 3*y**3 - 1. Let n be l(1). Let b be (2\/4)\/(n\/12). List the prime factors of a(b).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-30909)\/(-27) - (-64)\/288. Calculate the highest common divisor of w and 916.\nAnswer: 229","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (0 + sqrt(8) + -4 + sqrt(8) + -3)**2.\nAnswer: -56*sqrt(2) + 81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 12 - 1?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let x(n) be the third derivative of -491*n**4\/24 - 3*n**2 - 2*n. Let r(y) = -2*y. Give r(x(j)).\nAnswer: 982*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of -21, -86, -199, -366, -593, -886, -1251, -1694?\n\"Answer: -n**3 - 18*n**2 - 4*n + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 64\/(-80) - 2548\/(-10)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -2017919  (b) -2  (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 877725 and 1341.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 4662*g**5 - 7*g**2 - 22032767*g wrt g?\nAnswer: 93240*g**3 - 14","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -0.01 + 2.01. Let v = 5 - w. Sort v, 2, -2 in decreasing order.\nAnswer: v, 2, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 156 divided by 24.\nAnswer: 13\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 11774481*s**2 + 54841969*s.\nAnswer: 23548962","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 508 is divided by 87?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 62313035 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = i - 2*k + 1, 32*i + 5*k + 12 = -45 - 182 for i.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-2)\/(-4) + (-60)\/(-8). Calculate the highest common factor of w and 904.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 14894 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1 - (6 + (-7 - 3) + -6).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 26 = 2*d + 5*y, -3*d - 4*y = y - 44. Suppose -5*h + 2*a = 9 - 33, 0 = -4*h + a + d. Let r be (-2)\/5 - (208\/10)\/8. Put r, h, 0, -1 in decreasing order.\nAnswer: h, 0, -1, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from nnjjjnnddj. What is prob of sequence njn?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (20*138\/408480)\/((-2)\/((-48)\/(-9))).\nAnswer: -2\/111","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let b(n) = n**2 + 131676*n - 6322735. Determine b(48).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*l - 17 = 3*d, -d + 6 - 1 = 0. Suppose 3*y - 68 = -2*r, 8*y - 11*y + 5*r = -40. What is the remainder when y is divided by l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-1)\/(-6))\/((-5)\/(-50))*13*17\/(-1989).\nAnswer: -5\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let l(k) = -8381*k + 1072762. What is l(128)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let d(f) = -13*f**2 - 4*f**2 - f + 18*f**2. List the prime factors of d(-4).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(a) be the second derivative of 0*a**4 - 134*a + 0 + 1\/6*a**3 + 33*a**2 - 29\/20*a**5. What is the first derivative of j(g) wrt g?\nAnswer: -87*g**2 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -0.0041 - -244.8041. Let m = -245 + u. Which is the nearest to 2\/5?  (a) -1\/9  (b) -0.4  (c) 5  (d) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 52*o**3*w**5 + o**3*w - o*w**5 + 2*o*w**2 + w**2 wrt w?\nAnswer: 3120*o**3*w**2 - 60*o*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let k(f) = 6*f**2 + 51*f + 3. Let o(n) = -13*n**2 - 85*n - 5. Let j(c) = -5*k(c) - 3*o(c). Let y(u) = -35*u - 4. What is j(y(a))?\nAnswer: 11025*a**2 + 2520*a + 144","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve -a = -7*a - 0*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of -199, -400, -603, -808, -1015?\n\"Answer: -k**2 - 198*k","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 53745870 is divided by 2639?\nAnswer: 2635","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 294?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*o = -466 + 1321. Calculate the highest common factor of 19 and o.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of ((-486)\/40)\/(3\/2) and -34\/9?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 7964781?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Convert 10736.65 millilitres to litres.\nAnswer: 10.73665","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {k: 2, n: 2, p: 4}. Give prob of sequence pn.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -41\/2 + -28. Find the common denominator of m and (1 + (-38)\/(-6))\/((-84)\/(-45)).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -2*z + 4*z + 2*z + z + z - z + (3*z - 3*z + z)*(1 - 4 + 4).\nAnswer: 6*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in v**2 - v**2 - 276*v**3 + 287*v**3.\nAnswer: 11*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 118?  (a) -0.05  (b) -4  (c) -147.6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let a(f) be the first derivative of -f**5\/20 - 5*f**4\/12 + 7*f**3\/6 + f**2\/2 - 166*f + 140. Let t(j) be the first derivative of a(j). Calculate t(-6).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*p - 27 = -3*b, 30 = 2*p + 5*b - 0. Suppose t - r = -2*r + p, 3*t - 2*r = 0. Let s = 0 + 4. Solve -4*h + 7 = j, 2*h + s = t*j - 0 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert c70 (base 13) to base 5.\nAnswer: 31434","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 g and 1 c when two letters picked without replacement from wycybgy?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.3 in 0, 3, -6\/143, 5?\nAnswer: -6\/143","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let i(o) be the first derivative of -15*o**2\/2 - 35*o + 31. Is i(-5) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 277*a + 446*a - 736*a.\nAnswer: -13*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from qpsocsoqcqosqoqosss. What is prob of sequence pso?\nAnswer: 5\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -477 + 21033?\nAnswer: 20334","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve -14*x**4\/3 + 74*x**3\/3 - 44*x**2 + 88*x\/3 - 16\/3 = 0.\nAnswer: 2\/7, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Express (-324*y - 27*y + 95*y)*(3*y**2 + 3*y**2 - 5*y**2 + y) in the form u*y + k + h*y**3 + l*y**2 and give l.\nAnswer: -256","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 6 (base 8) in base 5?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-27)\/55)\/(-3)*(-18)\/(-2268)*-105.\nAnswer: -3\/22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 8*n + 228*n - 72*n + 391*n - 555 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve l + 19 - 9 = -154*z + 147*z, -3*l + 58 = -z for l.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 94 is divided by 90.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 + 2 = -2*j. Let a(q) = 8*q**3 + 10*q**2 - 8*q - 10. Let c(n) = -n**3 - n**2 + n + 1. Let k(f) = j*a(f) - 6*c(f). Solve k(b) = 0 for b.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 158 - 5. Let h = -105 + a. Calculate the highest common factor of 16 and h.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(33) - 6*sqrt(825))\/((sqrt(48) - sqrt(3))*-5).\nAnswer: 29*sqrt(11)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3371 = 291*y - 819*y + 12977 + 11108 for y.\nAnswer: 52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let a(u) = 98*u + 12. Let s be a(1). Is 110 at most s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1*((-2 + (1*sqrt(833) - sqrt(833)))**2 - ((sqrt(833)*-2)**2 + sqrt(833) - sqrt(833))*-5) + -4 + 4.\nAnswer: -16664","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -115, -2, 5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 2*(((-8)\/(-12) - 2) + 1). Let q = -32 + 158\/5. Which is the closest to z?  (a) q  (b) 0.5  (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find d such that 2*d**3 + 442512*d**2 - 147079320*d + 12212157856 = 0.\nAnswer: -221588, 166","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.003104118 to five dps.\nAnswer: -0.0031","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 136*(3 + (-14)\/4). Let k = w - -29. What is the common denominator of k and -67\/6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 6248875.\nAnswer: 5, 49991","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 100587?\nAnswer: 3, 33529","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let t(s) = s**3 - s**2 - 2*s. Let u be t(2). Suppose 5*w + 0*q + 5*q + 5 = u, 0 = q + 3. Calculate the least common multiple of 9 and (-8)\/(-14)*14\/w.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 9574?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 666174355 to the power of 1\/9, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -31 - 99*q + 31 + 4*q**2 - 7*q**2 + 201*q**3 + q**2 wrt q.\nAnswer: 1206*q - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 0\/((7 - -2)\/9). Solve 2*i + 5*i - 28 = f for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*h - 18 = -d - 4*d, 5*h + 1 = -d. Which is bigger: h or 1\/103?\nAnswer: 1\/103","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(z) = z**3 + 7*z**2 - 16*z - 16. Let p be j(-8). What is the greatest common factor of 24 and p?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: 13 (base 4) to base 7\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*d + 103 + 295 = 0. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 99363 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: Calculate prob of sequence qqq when three letters picked without replacement from {e: 4, o: 7, q: 5}.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 85522*o**2 - 171280*o**2 + 85829*o**2.\nAnswer: 71*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 17.5723 - 17.5323. Let f be 2\/2*(-1)\/2. Let a be (-6)\/9*(-1 + 7). What is the second biggest value in h, a, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -495 - -496. Let s(k) = -19*k**3 + k**2 + k - 1. Give s(b).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 267938, 1071758, 2411460, 4287044, 6698510, 9645858?\nAnswer: 13129088","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Find n such that 0 - 8\/5*n**2 + 4\/5*n**3 - 12\/5*n = 0.\nAnswer: -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 12397 and 2277?\nAnswer: 253","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: -28565037 * 0.7\nAnswer: -19995525.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 95*u**2 - 479 + 220*u**2 + 479.\nAnswer: 315*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -16 + 50. Let s = 42 - k. Calculate the remainder when 11 is divided by s.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -131012800.46 to the nearest one thousand.\nAnswer: -131013000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -37956 + 56309. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -66 in 0.03, 0.052, 0.5, -0.2, 0?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 151\/36 and 97\/12.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Determine t so that -t**3\/4 - 271159*t**2\/4 + 271163*t = 0.\nAnswer: -271163, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Expand 19 - 19 + 4*j + (-2 + j + 2)*(-3 + 1 + 1) - 87 - 8*j + 87.\nAnswer: -5*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 1463 and 247?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is twenty-five halves of a millennium in decades?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Are 337\/7 and 47 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*k - 3*d - 23 = -2*k, -3*k - d + 1 = 0. Suppose -4*r - 4*m + 260 = -9*m, -k*r + 136 = -m. What is the units digit of r?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 630 minutes before 6:24 PM?\nAnswer: 7:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -c - 2*t + 6 = 5, -19 = -4*c - 3*t. Suppose 2*k = -c + 25. What is the derivative of 9*q + k + 5*q - 5*q + 4*q wrt q?\nAnswer: 13","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(s) = 4*s**2 - 7*s + 17. Let n be b(-13). Let f = -434 + n. Is f a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -b + 0*k = -3*k - 10, 0 = -2*k - 4. Suppose b*o**3 - 4*o**5 + 4*o**2 + 950 - 4*o**4 - 950 = 0. Calculate o.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 72, 1086, 2150, 3270, 4452, 5702, 7026?\nAnswer: 8430","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -26 - -35. Suppose -76 - l = -j. What is the remainder when j is divided by 18?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2071 < -89?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -3*n**3*p + 3108*n**3 + n**2 - 3*n*p + 160*n + 2*p wrt n.\nAnswer: -18*p + 18648","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 17265*q**4 - 12*q**2 - 31*q?\nAnswer: 414360*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Expand -4 - 17 - 773*z + 379*z - 7 + (2 - 2 + 3*z)*(2 + 0 - 4).\nAnswer: -400*z - 28","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 8 - (11 + 1 + -6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Put 273, 0.01, 10, -2\/17, 1, 0, 5 in decreasing order.\nAnswer: 273, 10, 5, 1, 0.01, 0, -2\/17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 13\/((-507)\/(-5603)) - 8\/(-6). Solve -7*t = -187 + d for t.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 45 at most as big as 28174\/645?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 5617867 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 b, 1 f, and 1 o when three letters picked without replacement from {o: 1, f: 1, b: 1, m: 1, x: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is -3 divided by -392?\nAnswer: 3\/392","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 426541*k - 426300*k - 7712 for k.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -1.39999988 - -1.4. What is s rounded to 7 dps?\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(v) = -3*v**2 + 11*v + 2. Let m(o) = -7*o**2 + 23*o + 3. Let l(j) = -9*c(j) + 4*m(j). Let u be l(-6). Factor u + 1\/5*b - 1\/5*b**2.\nAnswer: -b*(b - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(k) = 2 + 0 + 2*k - 4 - k. Let o be v(6). Solve -o*q = -0*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(c) = 23*c + 210. Let p be m(-9). Suppose 2 = -a + s + 11, 5*a - 41 = s. Solve a*y - 20 = p*y for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -179\/247650 and 5\/86868?\nAnswer: 28232100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 1 - -26781388?\nAnswer: 26781400","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 9\/22712 or -1\/2?\nAnswer: 9\/22712","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 38\/503 at least 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -308 divided by 4.\nAnswer: -77","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let q(s) be the third derivative of -s**5\/60 - 5*s**4\/6 - 2*s**3\/3 - s**2. Let l be q(-20). Let o(a) = -9*a - 4. List the prime factors of o(l).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*h + 11 = -0*r + r, r = -h + 7. Suppose 0 = r*q - 6, -q + 2 = 2*f + f. Suppose f*t = t - 15. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 12978?  (a) -2  (b) -0.2  (c) -5\/7  (d) 37\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let m(t) = 113890*t**2 - 7*t + 2. Let d be m(6). Suppose 6*w = w + d. What is w rounded to the nearest 100000?\nAnswer: 800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -8\/67  (b) -19\/3  (c) 0  (d) 0.19  (e) -0.02  (f) -1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-616)\/(-34) - (-8)\/(-68). Calculate the smallest common multiple of 9 and 13\/11 - y\/99.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 199575922 to the nearest integer?\nAnswer: 584","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -9 + 12. Let h = 0.4 - -1.6. Which is the second smallest value?  (a) -1\/4  (b) h  (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine w so that -w**5 + 49*w**4 + 102*w**3 = 0.\nAnswer: -2, 0, 51","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve t - 612*m + 615*m = 1, -3*t + m = -3 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 192.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Convert -2025 (base 6) to base 7.\nAnswer: -1211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -3551865 and 5.\nAnswer: -17759325","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {u: 3, v: 4, t: 4}. Give prob of sequence tt.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 43\/624 and -67\/14658.\nAnswer: 1524432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*p + p + 8 = 0. Let x = p - -5. What is the closest to -0.1 in 2, x, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:26 AM and 6:25 AM?\nAnswer: 359","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let j(o) be the third derivative of -o**4\/24 - 5*o**3\/3 - o**2 + 39*o. Give j(-11).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-50)\/(-15) - 5 - -2?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 103\/36 and -32\/5.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (2 - 1\/1)\/(-1). Suppose 5*i + 3*f - 41 = 0, -7 = -2*i - 4*f + 1. Let y be 2\/i*(2 - -1). Which is the nearest to 1?  (a) n  (b) y  (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1139469 a multiple of 147?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*q - 26 = -y, y - 6*q - 16 = -4*q. Suppose 4*b - 49 = -y*x + 3*x, 3*x = -15. Suppose -3*d + b = d. List the prime factors of d.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*y - 6 - 2. Solve z - 4*h - 7 = -0*h, y*z = 4*h - 8 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1274 a multiple of 49?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*c + 3 - 9. Suppose 5*v = c*l + 3*v - 2, 2*v - 12 = -5*l. Suppose -10*k + 48 = -2. Solve -7 = -d - 4*b, 2*d - 3*d = -l*b + k for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 3 - ((-1 - -8) + -8 - (22 - 42))\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let o(s) = -12*s**3 + 410*s**2 - 75*s + 137. Calculate o(34).\nAnswer: -101","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 31363 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let a(g) = g**2 - 136*g + 2320. Calculate a(116).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 60 minutes after 6:37 AM?\nAnswer: 7:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -1449, -1586, -1805, -2106, -2489, -2954, -3501?\nAnswer: -4130","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*b - 5 + 1 + 6)*(3 + 2 - 2).\nAnswer: -9*b + 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: -56242805 divided by -19769\nAnswer: 2845","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 97812?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Expand 7 - 7 - 4*n**2 - 3*n**2 - 11*n**2 + 6*n**2 + (5 - 3 - 1)*(-4*n**2 + 2*n**2 + 3*n**2) - 4*n**2 + 3*n**2 + 2*n**2 - 5*n**2 + 0*n**2 + 3*n**2.\nAnswer: -12*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*o + 4*w - 14 = 0, 2*o + 3*w = 6*o - 50. Solve -j = 3*t + 3*j - 14, 3*j = -2*t + o for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 634 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 0.5  (b) 6  (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 551 (base 8) in base 4?\nAnswer: 11221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 90618280?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -61631 + -2?\nAnswer: -61633","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 13.9 - 14. Let p = -29 - -59\/2. Let w = 19\/222 + 3\/37. Which is the closest to p?  (a) j  (b) w  (c) 3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((1\/6)\/((-189)\/(-19845)))\/((-5)\/(-24)).\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -4*q**4 - 124570*q**3 - 657319 wrt q.\nAnswer: -16*q**3 - 373710*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -147*f + 1757 - 1757 to the form c + h*f and give h.\nAnswer: -147","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 85 and 97716.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 101 (base 4) in base 6?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of 17796, 35600, 53406, 71214?\n\"Answer: k**2 + 17801*k - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 7*2\/8*(-2)\/(-7)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 21122120202 (base 3) to base 14\nAnswer: 3cc51","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let g(k) = 23*k**3 + 76*k**2 + 32*k - 16. Let p(w) = -22*w**3 - 76*w**2 - 32*w + 16. Let i(a) = -6*g(a) - 5*p(a). Factor i(v).\nAnswer: -4*(v + 1)*(v + 2)*(7*v - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence xvbb when four letters picked without replacement from xbvvxxvvhbx.\nAnswer: 2\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-8)\/(-28))\/((-40)\/(-4340)).\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 513 + -513. Suppose -3*p = 4*x - 2*p + 10, k = -3*x - 5*p - 16. Let o(h) = -2*h**2 + h - 2. What is o(x)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -15 - 0 - ((9 + -15 - 13) + 0).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 1 and 2541.\nAnswer: 2541","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -4713, -9425, -14139, -18855, -23573, -28293, -33015?\nAnswer: -37739","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -c + 2*z + 1, 3*z - 2*z = 4*c - 4. Let n be c\/(-3) + (-736)\/(-48). Suppose 2*r - 65 = n. Is r a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 t and 1 b when two letters picked without replacement from ucbuunubunubfbt?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 38645 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 210 and 3535.\nAnswer: 21210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 76 - -28. Let t = z - 935\/9. Sort -0.4, t, -0.2 in decreasing order.\nAnswer: t, -0.2, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-41)\/((-9)\/6 - -2). What is the units digit of s\/(-6) - (-2)\/(-3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(f) = 9*f**3 - 28*f**2 + 3*f + 2. Let t be c(3). What is the smallest value in 1, 0.6, t?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -1018, -2034, -3050, -4066, -5082, -6098?\nAnswer: -7114","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (10 - (19 + 51)) + 32 - -106.\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-3 + (-4*sqrt(22)\/sqrt(2) - ((sqrt(99) - (-3*sqrt(99) + sqrt(99)))\/sqrt(9) + sqrt(11))) + -3 + -5*(0 + sqrt(891)))**2 + 0.\nAnswer: 636*sqrt(11) + 30935","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-543*y + 0 + 3057*y + 2343*y + 0)*(y - y + 2*y).\nAnswer: 9714*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Sort -68, 2\/19, 1, 0.02, -1 in descending order.\nAnswer: 1, 2\/19, 0.02, -1, -68","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 1841?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 2 a factor of 95?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -1.3 and 17266.\nAnswer: -22445.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*b - 27*j = -30*j - 45, -4*j - 122 = -17*b for b.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:50 AM and 12:45 PM?\nAnswer: 715","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 1248360 to the nearest integer?\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve -37*r - 34047 = 178*r + 76*r for r.\nAnswer: -117","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.0105 * 13494.2.\nAnswer: -141.6891","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*l + 61 = 5*h, -17*l + 18*l - h - 34 = 0. Solve -3*r = -14*r + l for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from bbgbbgbbgbgbbbbbgg. Give prob of picking 3 g.\nAnswer: 5\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Put 5619\/43, 1, -0.042 in decreasing order.\nAnswer: 5619\/43, 1, -0.042","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Does 10 divide 1563?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (o*o\/(o\/(o\/(o*o**16)*o)))\/o**(-3\/7) assuming o is positive.\nAnswer: o**(-95\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 5 + 0 + -72 + 64?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is -198 bigger than -198?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 12 - 7. Let s(y) = -2*y**2 + 8*y - 5. Let a(n) = -n**2 + 4*n - 2. Let l(q) = c*a(q) - 2*s(q). What is the second derivative of l(j) wrt j?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 28*y - 25*y - 3*k = -21, 2*k = 4 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let m(r) be the third derivative of 0*r - 1\/60*r**5 + 0*r**3 + 0 + 0*r**4 - 3*r**2 - 1\/120*r**6. What is the third derivative of m(j) wrt j?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -11659464 by 161937.\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 2048?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let m(i) = 2*i**4 - i**3 - 2*i**2 - 1. Let y(l) = l**4 - 1. Let u(h) = -2*m(h) + 2*y(h). Factor u(j).\nAnswer: -2*j**2*(j - 2)*(j + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from gssvsxxgvuuvvxvuvv. Give prob of picking 1 v, 1 u, and 1 x.\nAnswer: 21\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -125 - -235. Suppose 0 = 160*i - 161*i + v. Calculate the remainder when i is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 241120 (base 5) in base 3?\nAnswer: 110020000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let w(t) = -2*t**2 + 6*t - 16. Let g(i) = 5*i**2 - 13*i + 35. Let q(j) = -6*g(j) - 13*w(j). Calculate q(2).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 5*k + 4*o + 22, -3709*o = k - 3704*o + 17 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: -279613 divided by -5\nAnswer: 279613\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 256, 313, 416, 571, 784?\nAnswer: 1061","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 9 + -4. What is the remainder when 13 is divided by b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of 2738522, 5477044, 8215570, 10954100?\n\"Answer: 2*g**2 + 2738516*g + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: -395 divided by 5\nAnswer: -79","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {t: 4, o: 3, r: 5}. Give prob of picking 1 r and 1 t.\nAnswer: 10\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: 16773 times -1.6\nAnswer: -26836.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -b + 31*b. Suppose 2*i = -x + 2 - 1, b = 5*i + x - 4. What is the remainder when 16 is divided by i?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -221.7536 * 0.4.\nAnswer: -88.70144","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4 = -v - 0*v. Let h = 2 + v. What is the third derivative of -4 - 3*i**4 - 2*i**2 + 4 + h*i**2 wrt i?\nAnswer: -72*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(a) = -95*a. Let f(d) = 148*d**2. What is f(s(t))?\nAnswer: 1335700*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let j(w) = -w**3 - 58*w**2 - 216*w + 12. Give j(-54).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let n(y) = -5*y + 13. Let g be n(13). Let x be g\/2*2\/(-4). Suppose -8*w - 30 = -x*w. Is 4 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(m) = -2*m**2 - 7*m + 7. Let f be h(-4). Solve f*z + 0*z - 15 = 0 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -12*j = -16*j + 60. Let a = j - 19. Suppose l = 2 - 1. Put a, 0, l in descending order.\nAnswer: l, 0, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 41 a factor of 656?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let x(h) = h**2 - 6*h - 294. Give x(15).\nAnswer: -159","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let u(g) = 0*g + 0*g + g**2 - g**3 + 3*g**2. Let q be u(3). Solve 3 = -4*m - q for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3*(sqrt(3) - (-3 + sqrt(12))**2).\nAnswer: -39*sqrt(3) + 63","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let m(r) = -r**3 + 4*r**2 - r. Let y be m(4). Let x = 5 + 4. Let w = -14 + x. Sort y, w, 0 in descending order.\nAnswer: 0, y, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 283 - 211. List the prime factors of p.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-80)\/300*(-27)\/60. Which is greater: 0 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -8*o = -6*o + 2 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 759?\nAnswer: 3, 11, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 44 + 16\/(-12)*3. Suppose 4*g + p = 3*n, n + g + 2 = 20. Suppose -n*a + 19 = -15*a. Calculate the remainder when a is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 2963.889 or 1?\nAnswer: 2963.889","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Work out -2.6362 - 99.97921.\nAnswer: -102.61541","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let v(r) = -10 + 2 - 2*r + 1. Let j be v(-5). Let u = j + 1. What is the units digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(c) be the first derivative of -c**4\/4 - 8*c**3\/3 - 15*c**2\/2 - 3*c + 23. Is 4 a factor of g(-6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(y) = 7*y**2. Let a(c) be the first derivative of -c**2 + 16. Determine o(a(n)).\nAnswer: 28*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -2  (b) 69  (c) 1128  (d) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2621*f - 2626*f + 25. Suppose -2*h = 0, -f*h + 1395 = n - 4*h. Does 31 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 7301088 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 8405.55 + -8383. What is v rounded to the nearest 10?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(x) = -x**2. Let i(s) = 1194*s + 34 + 66 - 45 - 54. What is g(i(d))?\nAnswer: -1425636*d**2 - 2388*d - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 15449\/4 + -3886. Find the common denominator of (-14239)\/2320 - 2\/(-10) and l.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-6)\/(-2)*(-17)\/3. Suppose -96*f = -98*f + 66. Let x = f + n. Solve -4*c + 4 = x for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 14\/(-3)*(-9)\/6. Suppose 209 = 5*b - 71. What is the greatest common factor of k and b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 41, 8, -20, 3 in increasing order.\nAnswer: -20, 3, 8, 41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let x(f) = f - 2. Let c(o) = -o**3 + 2*o**2 - 2*o + 1. Let h be (2\/(-5))\/(1\/(-5)). Suppose 2*z + h - 4 = 0. Let t be c(z). Give x(t).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 59\/627 and -13\/9.\nAnswer: 1881","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve -8*a + 5 + 11 = 0 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 384678?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let p(o) = -2*o**2 + o. Let s be p(-1). Let l be 2 + 0 + s - 2. Let d(u) = -2*u**3 + 4*u**2 + 4*u. Let c(v) = 3*v**3 - 7*v**2 - 7*v. Give l*c(q) - 5*d(q).\nAnswer: q**3 + q**2 + q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -36 = -o - 5*o. Suppose 537 = o*p + 159. Is 63 greater than p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 544000 to the nearest integer?\nAnswer: 738","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-17)\/(-5) + (-8)\/20. Suppose 5 = z - l. What is the units digit of z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 737177 (base 9) in base 5?\nAnswer: 103011110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 k, 1 o, and 1 x when three letters picked without replacement from {q: 1, w: 1, o: 1, k: 2, x: 1, v: 1}.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let d(w) be the third derivative of w**5\/12 + 9*w**4\/8 + w**3\/6 + 17*w**2 - 3*w. Let x be d(-7). Calculate the greatest common factor of 1311 and x.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of 12, 48, 106, 186, 288?\n\"Answer: 11*x**2 + 3*x - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ebd when three letters picked without replacement from ddeydbbjdj.\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 18 - 4. What are the prime factors of i?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -532 - -903. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 21\/5 of a litre in millilitres?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let h(f) = -f + 51 - 23 - 35. Let r(a) = -35*a + 78. What is the smallest common multiple of r(2) and h(-14)?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be ((-6)\/(-8))\/((-1)\/4). Let r(x) = x**3 + 3*x**2 - x. Let t be r(g). Find the second derivative of -4*y - 5*y**3 + 4*y**t + 3*y wrt y.\nAnswer: -6*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of 188, 187, 186?\n\"Answer: -c + 189","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*m - 25 = -13*m + 3*b, -2*b = 2*m - 10. Let f = -4 - -7. Factor y**5 + 3*y**f - 3*y**4 - y**2 + 4*y**2 - 4*y**m.\nAnswer: -3*y**2*(y - 1)*(y + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -6*s + 24. Let z be (-212)\/(-20) - 4\/(-10). Find the third derivative of -2*t**2 - 9*t**4 - z*t**2 - 5*t**s wrt t.\nAnswer: -336*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose v - 6 = -2. Suppose -v = -2*g + 56. Suppose 0*i + 2*i - 22 = 0. Calculate the remainder when g is divided by i.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(g) = 257*g - 7266. Give p(28).\nAnswer: -70","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ff when two letters picked without replacement from ofggffg?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9 + 41 = 5*x + 4*w, 4*x = -3*w + 25. What is the greatest common factor of 4 and x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Are 1 and 28\/41 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Express -2*x**2 - 8*x**2 + 3*x**2 - 21 + 5*x**2 in the form p*x**2 + n*x + t and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 389955 + -4292463\/11. Do -269 and l have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -101\/252 and -31\/196.\nAnswer: 1764","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 5\/192 and 11\/357.\nAnswer: 22848","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from atqqtpdadqqqqpq. Give prob of picking 1 p, 2 t, and 1 q.\nAnswer: 2\/195","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 0.2, -5\/3, 67\/43, 0.07?\nAnswer: 67\/43","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*k**2 + 5*k**2 - 4*k**2)*(-2*k**2 - 23 + 5*k**2 + 47).\nAnswer: 9*k**4 + 72*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -133019693*q**3 + 6625*q + 4740.\nAnswer: -798118158*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 5799?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:18 PM and 8:23 PM?\nAnswer: 185","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of -8, -33, -76, -137, -216, -313, -428?\n\"Answer: -9*a**2 + 2*a - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let q(f) be the third derivative of -f**4\/12 + f**3\/6 + 40*f**2. Calculate q(-6).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.9662456 millilitres in litres?\nAnswer: 0.0009662456","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 13 - 9. Suppose -4 - 3 = -5*h + a*p, h + p = -4. Is h smaller than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(z) = 1 - 19 - 5*z + 12*z. Let h(s) = 14*s - 35. Let d = -5 - -12. Let t(y) = d*p(y) - 4*h(y). What is the derivative of t(a) wrt a?\nAnswer: -7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve i = -g, 5*g - 2*g + 4*i - 2 = 0 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-21)\/11 + (-48)\/(-16). Factor -2\/11*b**3 - 16\/11 - 24\/11*b - w*b**2.\nAnswer: -2*(b + 2)**3\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(t) = -7*t - t**3 + 1 + 7*t. Let g(r) be the first derivative of -r**4\/2 - 2*r + 1. Let v(l) = -4*c(l) + g(l). Find the first derivative of v(p) wrt p.\nAnswer: 6*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -38383155478504980*w**2 - 876163860*w - 5 = 0.\nAnswer: -1\/87616386","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let y(x) = -2*x - 15. Let d be y(-10). Let s(k) = 1 - d*k - 2 + 3. Let p be s(1). Is -4 less than or equal to p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 475446, 1901754, 4278926, 7606962, 11885862, 17115626, 23296254?\nAnswer: 30427746","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 6341 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*p - 40 = -5*x + 3*p, 5*p = -x + 32. Let y = x + -3. Let u(q) = -110*q + 884. Let d be u(8). Solve -3*r - y + d = -2*i, 2*i - 6 = 2*r for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1\/2 in 1.8, 1.9, -4?\nAnswer: 1.8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Does 472 divide 922042162?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of -237141, -237142, -237143?\n\"Answer: -i - 237140","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 357656883.\nAnswer: 3, 457, 260873","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 14 - (2 - (1 + -2) - (-1659 + 1676)).\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-2)\/(-3)*(-3)\/(-6)*-1.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 9*t - 11*t + 6. Suppose y = 1, -2*y = -t*b + 3*y + 73. What are the prime factors of b?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of 149, 194, 155, 32, -175, -466, -841?\n\"Answer: -42*h**2 + 171*h + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 4933 - 2436. Is 13 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 27*j - 14*j = -4*j - 612 for j.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -a - 3*x = x - 5, a = -3*x + 4 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 32875\/2 + -16437. Put 0.4, 43, 1.1, z in increasing order.\nAnswer: 0.4, z, 1.1, 43","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 35 is divided by 10\/(12\/8*(-15)\/(-27)).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((61 - 5)\/4)\/(7966\/35278).\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 16198219?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose i + 0*h = 5*h + 12, -3*i = 3*h + 18. Sort -2, i, -4.\nAnswer: -4, i, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 12 = 3*f + 3. Suppose 4*w + 3 = f*h + 14, 1 = -2*w - 5*h. What is the lowest common multiple of (-80)\/(-6) + 8\/12 and w?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -76a + -4?\nAnswer: -772","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 26 + (-5525)\/150 + (-33)\/(-3).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is -4596.1 rounded to the nearest 100?\nAnswer: -4600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:31 PM and 4:25 AM?\nAnswer: 714","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Sort -454, 482, 5, 2.\nAnswer: -454, 2, 5, 482","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 15 - 15.08. Let u = o + 0.28. Let c = 8 - 3. What is the third biggest value in c, u, -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*d - 2*d = -f + 565, -2*d + 1715 = 3*f. What are the prime factors of f?\nAnswer: 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(1815) + 2*sqrt(1815) - sqrt(1815)) + sqrt(1815) + sqrt(1815) + sqrt(735)*2)\/(sqrt(12)\/(sqrt(4)*1) + sqrt(3) + sqrt(21)\/sqrt(112)).\nAnswer: 232*sqrt(5)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Sort 7074, -241, -3 in ascending order.\nAnswer: -241, -3, 7074","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"}
{"text":"Question: Let k(b) = 3*b - 6. Suppose -2*y + 42 = 5*x, -y = -5*y + 3*x + 84. Calculate the remainder when k(15) is divided by y.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 0.1 at most as big as -68629.9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 17 - 20. Let q = 6 - 5.9. Which is the third smallest value?  (a) v  (b) -1\/6  (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-1 + -3)*(-4)\/(-8). Which is the third smallest value?  (a) 4  (b) d  (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 0.00314 + -2.70314. Put 6\/13, 4, h in descending order.\nAnswer: 4, 6\/13, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3414 rounded to the nearest 100?\nAnswer: 3400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let b(z) be the third derivative of 0 + 19\/30*z**5 + 1\/21*z**7 + 0*z**3 - 176*z**2 - 3\/10*z**6 + 0*z + 1\/336*z**8 - 13\/24*z**4. Solve b(n) = 0.\nAnswer: -13, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 45\/8 of a second in milliseconds?\nAnswer: 5625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let y(l) = -39*l. Let c(j) be the first derivative of -j**5\/60 + j**2\/2 - 24*j + 59. Let n(m) be the second derivative of c(m). Give y(n(v)).\nAnswer: 39*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let n(m) = 4*m + 14188*m**2 - 7 - 14189*m**2 - 13*m. Give n(-9).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 2 - 2.1. Let g(y) = -508*y - 2032. Let z be g(-4). What is the closest to v in -13\/6, z, -2?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 3 - -1. Suppose o*x - 5*x + 4 = 0. Solve 2*y + y + 14 = 2*p, 0 = -p + x for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 254, -4, 0, -1 in increasing order.\nAnswer: -4, -1, 0, 254","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*n - 130 - 284 = 0. Suppose 6*p - 69 = n. What is the units digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose y + 3*y = -3*a - 11, 4*a - 32 = 4*y. Suppose 0 = a*c - 9 - 9. Suppose 3*k - c = -0. Sort 1, -5, k in decreasing order.\nAnswer: k, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(k) = 16*k - 12. Let w(f) = 8*f - 5. Calculate -2*q(c) + 5*w(c).\nAnswer: 8*c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 251 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 192923?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let j(t) = 79*t**2. Let w(m) = -666*m**2. Give j(w(r)).\nAnswer: 35040924*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -40 - -39. Let u be (-154)\/(-88) + (z - 5\/(-4)). Suppose 0 = w + u, -3*s + 7194 = s - 3*w. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-54)\/30 - 42\/(-30)\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -87, -80, -69, -54, -35, -12, 15?\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 247 in -3, 0.4, 0.07, 18\/5, 0.3?\nAnswer: 18\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of -81, -83, -85, -87, -89?\n\"Answer: -2*w - 79","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -3707 divided by 10445?\nAnswer: -3707\/10445","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let o(h) = -h**3 - 238*h - 3. Let q(y) = y**3 + y + 1. Give o(u) + 3*q(u).\nAnswer: 2*u**3 - 235*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 381977 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.5, -0.1, 0, 4 in descending order.\nAnswer: 4, 0.5, 0, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-119)\/(-35) - (-6)\/10. Let f(d) = -d**3 - 8*d**2 + 5*d - 10. Let b be f(-9). Suppose -148 = -9*n + 4*n + 2*k, -b = -n + j*k. Does 7 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-678*z**2 - 90*z - 43*z + 132*z)*(-3 + 2 - 2).\nAnswer: 2034*z**2 + 3*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Round 53.0356 to one dp.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Do -12 and -1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 28\/27 and 44\/543.\nAnswer: 4887","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve 188*f**5 - 1864*f**4 - 3920*f**3 + 16600*f**2 + 20052*f + 1584 = 0.\nAnswer: -3, -1, -4\/47, 3, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 1\/(-2) + (-14)\/(-4). Suppose -x = u - 17, w*x - 28 - 38 = -4*u. List the prime factors of u.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(z) = 3*z**2 - 29*z + 22. Let q be h(9). Solve 0 = 3*o - q*g + 1, -o = g - 2*g + 1 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2, 3, 7, -15, -4, 14 in decreasing order.\nAnswer: 14, 7, 3, 2, -4, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 13 + -16. Let d(q) be the first derivative of 7*q**3\/3 + q**2\/2 - 7*q - 5. Let s(a) = -4*a**2 + 4. Let f(t) = -3*d(t) - 5*s(t). Give f(y).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from nyynnnynynnyuyeuen. Give prob of picking 2 e and 1 u.\nAnswer: 1\/408","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*n - 11*n - 77. Which is the closest to n?  (a) -4  (b) 5\/4  (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 14086514.\nAnswer: 2, 13, 443, 1223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {u: 7, e: 5}. Give prob of picking 1 e and 3 u.\nAnswer: 35\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1\/2 in -1, -4\/7, -27, 7?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -6 + 14. Let z = 9 - q. Is -2 greater than z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (267 + 0 - 0)*(-29)\/(-87). Solve 72*y = v*y - 51 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -24*d - 5*j + 50 = -19*d, 0*j = 23*d + 5*j + 40 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ddi when three letters picked without replacement from {d: 2, h: 1, b: 6, q: 3, i: 3}.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 1907071 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let s(k) = 25*k - 85. Let h(v) = -50*v + 171. Let x(j) = 2*h(j) + 5*s(j). What is the hundreds digit of x(8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 31294.399976 - 31291.4. Let m = k - 3. Round m to 5 dps.\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 575 is divided by 275.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: 1827\/4524 - 1\/((-13)\/(-2))\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -1\/2 - -7\/22. Suppose 3*a - 4*z = 15 + 5, -4*a - z = -14. Suppose 4*k - 6*k - a = 0. Sort k, 5, v in descending order.\nAnswer: 5, v, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -1559841*v*w*y**3 - 65*v*y**3 + 22727*v wrt w.\nAnswer: -1559841*v*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Convert 635 (base 16) to base 7.\nAnswer: 4430","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -34*f + 114 + 34 + 1246. Solve -24 = 44*g - f*g for g.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(t) = -t**3 - 102*t**2 - 101*t - 3. Calculate q(-101).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let p(o) be the third derivative of -o**8\/336 - 19*o**5\/60 + 385*o**4\/12 - 2136*o**2. What is the second derivative of p(v) wrt v?\nAnswer: -20*v**3 - 38","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(m) = 164*m - 288. Let w be p(2). Solve 20 = -36*g + w*g for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 59 - 39. Let g(l) = -l - 12. Let a be g(-6). Let m = a + t. Does 7 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 20  (b) 4  (c) -4\/15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Does 24 divide 120?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of 450052, 900089, 1350114, 1800127?\n\"Answer: -6*w**2 + 450055*w + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let w be -3 - -1 - 5*(-8)\/20. Suppose 36*g - 16*g - 80 = w. Solve 3*x - 4 = -g for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*a - 207 = -172. Suppose 3*n = 7*n - 5*q - 61, 3*n - 47 = 5*q. Calculate the smallest common multiple of n and a.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(a) = 3*a + 24. Let x be n(-8). Suppose x*v - v = 46. Let j = -40 - v. What is the greatest common divisor of 15 and j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -a + 5*a**4 - 7*a**4 - 6*a**2 + 4*a**2 + (-4*a**3 + a - a)*(6 - 6 - 9*a).\nAnswer: 34*a**4 - 2*a**2 - a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let k(f) be the third derivative of 0 + 0*f - 23*f**2 + 0*f**4 - 1\/30*f**5 + 23\/3*f**3. Let r(a) = -2*a**2. Calculate r(k(h)).\nAnswer: -8*h**4 + 368*h**2 - 4232","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:02 AM and 5:56 AM?\nAnswer: 354","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let a(t) = -t + 11. Let b be a(-17). Calculate the greatest common factor of 14 and b.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -29*m + 724 + 1987 = 1087. Solve -m*s - 64 = -88*s for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(k) = 3*k**2 + 1. Let v be s(-1). Suppose -2 = c - v. Let q(h) = h + 6. Let m be q(-3). Solve -c*o = -j + 3, -3*o + j - m = -0*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(b) = -3*b + 2. Let y be g(-16). What is the units digit of (-61)\/(-5) + 40\/y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 9713\/9 + -1079. Let d(k) be the third derivative of 1\/12*k**4 - m*k**3 + 0 + 1\/18*k**5 + 12*k**2 + 0*k. Factor d(y).\nAnswer: 2*(y + 1)*(5*y - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(d) = -77*d**3 - 2*d**2 - 2*d. Let p be v(-1). Let r = p + -45. Suppose -6 = -2*w + 4*g, -2*g - g = 4*w + r. Sort 1, w, 3 in increasing order.\nAnswer: w, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 9588496817 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 47\/(-102) - 132\/3366. Which is the nearest to -0.1?  (a) -28  (b) 0.5  (c) 2\/67  (d) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -57\/5026 less than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -25 = -0*h - 5*h. Let q be 4 - -1*(3 - h). What is the least common multiple of 10 and (-1)\/q*20\/(-5)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 2\/3 - (-17)\/(-3). Suppose 0 = -5*n + 1 - 86. Let l(u) = 3*u**2 - 5*u - 17. Let v(k) = k**2 - 2*k - 6. Let b(t) = n*v(t) + 6*l(t). Give b(p).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (141*i - 11*i**3 - 141*i)*((2 + i - 2)*(-2 + 0 + 0) - 2*i - i + i).\nAnswer: 44*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let p(v) = -v**3 - v**2 - v + 4. Give p(4).\nAnswer: -80","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let f(i) = i**2 - 28*i - 122. Let z be f(32). Let m(s) = 10*s**2 - 20*s**2 + 8*s**2 - 24*s - 14. Let c be m(-11). What is the highest common divisor of z and c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 76050?\nAnswer: 2, 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -10*g**2 - 10*g**2 + 2 + 2*g**2 + 0*g**2 to the form a*g + l*g**2 + p and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve 309 = -23*q + 470 for q.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Divide -15 by 45197.\nAnswer: -15\/45197","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 l and 1 b when two letters picked without replacement from {l: 5, b: 3}.\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*b - 6 = -3289*x + 3288*x, x = 3*b for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (6 + 3 - 5)*(-5 + 5 + 6*x) + 0*x + x + x.\nAnswer: 26*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 6628 + -33827\/5. Suppose 3*g - 539 = -4*s, 10*g - 12*g - 554 = -4*s. Let y = w + s. Which is the third biggest value?  (a) y  (b) 0  (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 4506992?\nAnswer: 2, 7, 40241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -8350 - 2444?\nAnswer: -11804","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let a(t) be the second derivative of t**6\/30 - t**4\/12 - t. Find the third derivative of a(g) wrt g.\nAnswer: 24*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add together -40644032.1048 and -69.\nAnswer: -40644101.1048","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 45277?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let k(p) = p**2 - 27*p + 123. Give k(21).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1\/6?  (a) 2  (b) 1\/9  (c) -0.016  (d) -2\/33\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*h**2\/3 + 13630*h - 204500\/3.\nAnswer: 2*(h - 5)*(h + 20450)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*k - k - 3*r = 230, -18*k + 37*r - 147 = -15*k + 185 for k.\nAnswer: -49","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (s**(-2\/3))**44*s*s**1\/s*s*s**(-8)*(s**(3\/4)*s**(3\/2)*s)**46 assuming s is positive.\nAnswer: s**(685\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*o**4 - 717806*o**3 - 85873763730*o**2 - 3424388074347050*o + 6849119649491500.\nAnswer: -2*(o - 2)*(o + 119635)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*l = -4*o + 6, -3*o = -16*l + 15 - 47 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -4212102, -4212112, -4212122, -4212132?\nAnswer: -4212142","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 1 + 85 - (-5 - (1084 + -1110 + (0 - -31)))?\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 108939781?\nAnswer: 108939781","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -8*f*x**2 - 3434320*f*x - 169*f - 2*x**2 + 42990 with respect to x.\nAnswer: -16*f*x - 3434320*f - 4*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Factor 28*l**3 - 160*l**2 - 756*l - 648.\nAnswer: 4*(l - 9)*(l + 2)*(7*l + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: How many decades are there in 6642.106 centuries?\nAnswer: 66421.06","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is -1356 < -1359?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve -33*f - 50*f - 1536 = 109*f for f.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*l - 112 = 3*l. Suppose 0 = -25*i + l*i - 3. Suppose t + i = 0, -w - 229 = -2*w + 3*t. Round w to the nearest 10.\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -351091 divided by 1469?\nAnswer: -239","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let d(x) = x**2 - 7*x + 42. Let o be d(8). Suppose 49*k = o*k - 21. Suppose 4*v = -8, -f + 141 = -0*v + 3*v. Calculate the highest common factor of f and k.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.004984 rounded to 4 decimal places?\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-1)\/(14\/(-198)*36\/(-2352)*14).\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let s(f) be the first derivative of 19*f**6\/3 + 7*f**3\/3 - 15. Find the third derivative of s(z) wrt z.\nAnswer: 2280*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 28724 is divided by 23.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of 86, 154, 224, 296, 370, 446?\n\"Answer: i**2 + 65*i + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 853 is divided by 58?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 6*(-3 + sqrt(135)\/sqrt(3) + (sqrt(45) - -2*sqrt(45))\/sqrt(9)).\nAnswer: -18 + 36*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let v(z) = 51212*z - 870601. Calculate v(17).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let y(b) = 3*b. Let v(m) = -3*m + 889883. Determine y(v(t)).\nAnswer: -9*t + 2669649","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: (25 - 29) + (1 - (-1 - -2))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -71 + (77 - (6 + 38))?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3 = -p - 1, -18 = -5*l - 3*p. Let q(c) = -2*c - l*c + 6 + 0*c - c. Let f be q(-4). What is f rounded to the nearest 10?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"}
{"text":"Question: Suppose 1 + 7 = -b. Let d(h) = -6*h. Let x(c) = c. Calculate b*x(w) - d(w).\nAnswer: -2*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (7\/(-2))\/(10\/20).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of 11805, 23612, 35419, 47226?\n\"Answer: 11807*k - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -630, -2426, -5402, -9558, -14894, -21410?\nAnswer: -29106","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0001095116173 to 7 decimal places.\nAnswer: -0.0001095","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 158.576 take away 6006084.9?\nAnswer: -6005926.324","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -18 + 33. Let p = 7 + o. Let b = p - 21.99999977. Round b to seven decimal places.\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(h) = -h**3 + 2*h**2 + 26*h + 1075. What is the tens digit of k(-22)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 1 - (-1 + -2)*1. Let w be (0 - (-45)\/(-25))*(-60)\/21. Factor -w*s**2 + 4*s - 4\/7*s**y - 8\/7 + 20\/7*s**3.\nAnswer: -4*(s - 2)*(s - 1)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine s so that 4*s**4 - 44*s**3 + 116*s**2 + 44*s - 120 = 0.\nAnswer: -1, 1, 5, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let l(w) = -w**2 - 17*w - 2. Let n(j) = j**3 - 23*j**2 - j - 17. Let g be n(0). Give l(g).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 0 or -8\/937?\nAnswer: -8\/937","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0047661 rounded to 4 dps?\nAnswer: -0.0048","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence mf when two letters picked without replacement from {c: 13, m: 1, f: 3}.\nAnswer: 3\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4 - 2 + 5)*((4 - 4 + 3*y**2)*(-4*y**2 - y**2 + 4*y**2) + 2 - 2 - 5*y**4).\nAnswer: -56*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 470 minutes before 9:21 PM?\nAnswer: 1:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1 + t**3 + 31*t**2 - 1 + 1713*t - 31*t**2.\nAnswer: t**3 + 1713*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1*(-1 + (3 + (sqrt(272) + -2 - sqrt(272)) - (-3 + sqrt(272) + (sqrt(272) + 3 - sqrt(272))))))**2 + -2.\nAnswer: 270","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 9 + -3. Let m(t) = t**2 + 6*t. Let z(h) be the first derivative of -h**2\/2 + 284. Calculate k*z(a) + m(a).\nAnswer: a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 i and 1 d when two letters picked without replacement from diiiidd.\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: -4651 divided by -1\nAnswer: 4651","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -2\/16183 - -2055265\/194196. What is the common denominator of y and -10*(-10)\/25 - (8 + (-178)\/(-24))?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(o) = 5*o**2 + 3*o. Let y = 317 - 325. Let t(v) = -16*v**2 - 8*v. Let k(m) = y*r(m) - 3*t(m). Let d(h) = -h**2. Give d(k(p)).\nAnswer: -64*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.84515*-1420.\nAnswer: 1200.113","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Round 15741450720 to the nearest 1000000.\nAnswer: 15741000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: How many hours are there in five fourteenths of a week?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -9*q - 23 - 13 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 5*k**3*n*y + 2*k**3 - 2*k**2*n*y - 221*k**2 - 4*k*n*y**2 - 2*n wrt y?\nAnswer: 5*k**3*n - 2*k**2*n - 8*k*n*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -12*q**2 - 10*q**2 + 24*q**2.\nAnswer: 2*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 24780, 198193, 668876, 1585461, 3096580?\nAnswer: 5350865","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 45500 and 6000.\nAnswer: 546000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let i(h) = -11*h - 19. Calculate i(-7).\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -28 + 48. What are the prime factors of s?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(z) = z**2 + 7*z + 6. Let q be v(-4). Let p(c) = -7*c**2 + 19*c - 12. Let o(g) = 13*g**2 - 37*g + 23. Let m(h) = q*o(h) - 11*p(h). Is m(12) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 18646?\nAnswer: 2, 9323","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 4531137611?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-5*(1*sqrt(204) - sqrt(204)) + (4*-1*sqrt(204) + sqrt(204) - sqrt(204)))\/((-2*sqrt(108))\/sqrt(9)*4).\nAnswer: sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (2\/(-28))\/((-17)\/(-17))*1.\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 41768?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let m(q) = -q**2 - 5*q - 9. Let i be m(-4). Let a = i - -7. Suppose 0 = 5*b + a*n - 58, -6*b + 4*n + 64 = -b. What is the remainder when 45 is divided by b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 401776?\nAnswer: 2, 25111","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -6486.104 - -6486. Is -2 at least as big as z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*z + 3*w - 5 = 0, 4*w + 2 + 2 = 0. Suppose 6*f - z*f - 10 = 0. Is 5 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 10?  (a) 4  (b) -1\/2  (c) -0.4  (d) 1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-16)\/(-6)*(-6)\/(-72). Let v = -70 + 74. Which is greater: v or c?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 699*c + 50*c + c**3 + 645*c - 1394*c.\nAnswer: c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*y - 18 = 2*y + h, 5*y - 2*h = -24. Let j = -4 - y. Sort -3, -2, j.\nAnswer: -3, -2, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 88 minutes before 4:31 PM?\nAnswer: 3:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 38315385001 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-2)\/(-4)*(-9 + 9))\/6?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3 = -s - 0*s. Suppose 0 = -2*p + s*p - 3, c - 5*p - 9 = 0. Solve -2*x - 4*w - c = 0, 0 = 2*w + w + 12 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*q = 276*r - 277*r - 75 + 233, -2*r + 4*q = -130 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Put -8, -2\/11, -1.02 in decreasing order.\nAnswer: -2\/11, -1.02, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let q(r) be the third derivative of -r**5\/270 - 79*r**4\/27 - 24964*r**3\/27 + 10*r**2 - 4*r - 8. Solve q(n) = 0 for n.\nAnswer: -158","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -34315 (base 7) in base 4?\nAnswer: -2020132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -2194 + 2189. Let j = 0.29 - -0.71. Put f, j, 4, 0.4 in descending order.\nAnswer: 4, j, 0.4, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 a and 1 u when two letters picked without replacement from ukauab.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 45668*b**2 + 43260 wrt b?\nAnswer: 91336*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-4*-5*(sqrt(1900)*1 + 0 + 3))**2 + -3.\nAnswer: 24000*sqrt(19) + 763597","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let c(x) = -x - 4. Let k be c(5). Let j = -7 - k. Solve b = 0, r - b + j*b = -4 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 19 + -17. What is g in -24 - 251*g**h + 129*g**2 + 126*g**2 + 4*g = 0?\nAnswer: -3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -527*i + 480*i - 517 = 0 for i.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 43 - 72\/(-63)*-35?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -870043 - 4238296 = y. Let d = 9777400 + y. Let j = d - 2569061. Round j to the nearest 1000000.\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(c) = 2*c**2 + 4*c - 18. Let f be o(-5). Calculate the greatest common divisor of 324 and f.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 40\/741863 and 83\/578.\nAnswer: 1483726","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 20 a factor of 45047?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let n(v) = 24*v**2 - 87*v + 1. Let l(m) = m**2. What is n(l(y))?\nAnswer: 24*y**4 - 87*y**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: (27 + -10 + -10 - 2)*(-686)\/70 + 8\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-2)\/(-15) + 1173\/(-1035) + -6?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -1\/47 + 99\/235. Which is the closest to r?  (a) 2  (b) -4\/9  (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2535*k = 2168*k + 6606 for k.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Does 35 divide 11468?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -2\/749 - -323\/749. What is the second smallest value in -0.3, 2\/3, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1 divided by -24492.\nAnswer: -1\/24492","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: b86d32 (base 15) to base 7\nAnswer: 134432411","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*c - 3 = -3*c. Let k(x) = -4*x - 3 + 2*x + 3*x**2 + 1. List the prime factors of k(c).\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 45184145*h**2 - 79955*h - 121 wrt h?\nAnswer: 90368290","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let y(o) = -8*o - 21. Determine y(-6).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let b(h) = -10*h + 26. Let d(t) = 9*t - 25. Let k(j) = -2*b(j) - 3*d(j). Let y(f) = 3*f**2. Determine k(y(c)).\nAnswer: -21*c**2 + 23","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Factor -5*z**3 + 615*z**2 - 13675*z + 35625.\nAnswer: -5*(z - 95)*(z - 25)*(z - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Factor -18206*b**3\/7 + 36356*b**2\/7 + 16*b.\nAnswer: -2*b*(b - 2)*(9103*b + 28)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 62124 and 62124?\nAnswer: 62124","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let d(h) = -2*h + 19. Let r be d(7). Solve z - 2 = -5*i + 2, 4*i - 9 = r*z for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -23 + 25. Suppose -2*u + 4*u = 0. What is the third derivative of u*f**4 - 4*f**4 + 3*f**2 + f**i wrt f?\nAnswer: -96*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 35\/(-1 + -734) - 1759\/4956 and 27\/488?\nAnswer: 28792","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(f) = 30*f**3 + f**2 - 10*f + 8. Let x(i) = 8*i - 1. Calculate the remainder when w(1) is divided by x(2).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 4 - 8. Suppose 5*w = -0*w + 5, 2*p - 4*w = -40. Let k be 4 + 3*p\/13. Which is the nearest to g?  (a) k  (b) -4  (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(s) = s**3 + 13*s**2 + 19*s - 5. What are the prime factors of t(-11)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 1 - 3\/(-9)*(18 + -21). Let c be 3\/(-110)*(-5)\/2. Do y and c have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 0*r**3 + 19*r**3 - 3*r**3 + (r**3 - 4*r**2 + 4*r**2)*(-1 + 2 - 3) + (-4*r**3 + 3*r**3 - r**3 - 3*r)*((1 - 1 - 1)*(-3 + 2 + 0) + 5 + 2 - 5).\nAnswer: 8*r**3 - 9*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -138 + 138. Sort -0.3, 8, q, 0.3 in decreasing order.\nAnswer: 8, 0.3, q, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 2067216 by 6.\nAnswer: 344536","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 762836?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 525 minutes after 4:17 AM?\nAnswer: 1:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-1950)\/1170*102\/(-7055).\nAnswer: 2\/83","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Does 25 divide 7203?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -11820619*o**3 + 80381*o?\nAnswer: -70923714*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 8.77 + 801.23. Let b = 810.4 - p. What is the smallest value in 1\/3, b, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -0.17 and 39?\nAnswer: -6.63","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -165 - -843\/5. Find the common denominator of -101\/280 and r.\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 4543?\nAnswer: 7, 11, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -107559*b - 89*b**3 + 944*b**3 + 107559*b.\nAnswer: 855*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 67133?\nAnswer: 11, 17, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let h(a) = -a**2. Let p be h(0). Solve 0 = -5*n + 3*y - 12, p*n + 2*y - 1 = n for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 d, 2 z, and 1 g when four letters picked without replacement from {d: 3, m: 1, e: 1, z: 2, g: 3, x: 2}.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Factor -33*s**2\/7 - 1284*s\/7 + 117\/7.\nAnswer: -3*(s + 39)*(11*s - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of -728, -681, -604, -509, -408, -313, -236, -189?\n\"Answer: -2*k**3 + 27*k**2 - 20*k - 733","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let x(p) be the third derivative of -218*p**2 + 0*p + 39\/8*p**4 + 175\/6*p**3 + 0. Differentiate x(s) with respect to s.\nAnswer: 117","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -11 - -10011010?\nAnswer: 10010111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let i(r) be the third derivative of -r**6\/210 - r**5\/35 - r**4\/14 - 2*r**3\/21 + 15*r**2. Find f, given that i(f) = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*y + s + s - 6 = 0, -y + 2*s + 3 = 0. Suppose -2*f + 7 = y. Solve f*o + 2*o = 4 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be ((-5)\/(-10))\/(2\/8). Suppose -h + 4*d + 63 = 0, -174 = -b*h + 3*d - 7*d. What is the first derivative of -84*j - 8 + h*j + 3 wrt j?\nAnswer: -5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-6)\/3 + 1 + 3. Let j = -2 + z. Suppose j*u + 315 = 5*u. List the prime factors of u.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1*((0 + (sqrt(180) - -1*sqrt(180)) + 2 - ((sqrt(180) - -1*sqrt(180)) + 5 + -3*(sqrt(180) - (-1 + sqrt(180))) + sqrt(180)))**2 + -4).\nAnswer: -176","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 148143910 is divided by 891.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4 + 24 - 2)*(-a + a**3 - 3*a**3 + 0*a).\nAnswer: -52*a**3 - 26*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*g = 4, -2*b - 5*g - 2929 = b. Let h be 15\/6 + b\/(-14). What is the greatest common divisor of 84 and h?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -153 = -6*p + 291. Let i = -53 + p. Let t = 20 - i. Let d(q) = 3*q**3 + 2*q**2 - 1. Calculate d(t).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -f**4\/4 - 145*f**3 + 1163*f**2\/4 - 291*f\/2 = 0. What is f?\nAnswer: -582, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 5 - 2560d?\nAnswer: -25608","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -13*n + 60 = -5. Calculate the remainder when 25 is divided by n.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is seven thirds of a hour in seconds?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence zpw when three letters picked without replacement from {w: 1, z: 2, p: 1, n: 1}?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 701 is divided by 32.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -11.9 - -12. Which is the biggest value?  (a) -6  (b) u  (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 48*c - 108 = 132 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 2\/9 in 4\/3, 0.06, -5?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of -4*(-3)\/7*14?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 4, -2, 0.6, 2, 59?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -517 + 971. What is the remainder when z is divided by 51?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine r, given that r**5\/2 - 243*r**4\/2 - 2765*r**3\/2 + 2213307*r**2\/2 - 42395476*r + 41290326 = 0.\nAnswer: -99, 1, 62, 217","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose x**3\/9 + 27058*x**2\/3 - 38946577*x\/9 + 25856150\/3 = 0. What is x?\nAnswer: -81651, 2, 475","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let w(r) = 4 - 7*r**3 - 9*r**3 + 13*r + 18*r**2 + 17*r**3. Is 6 a factor of w(-17)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {f: 2, r: 3, z: 5}. What is prob of sequence fzrf?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let m(o) = 23*o**2. Let h(c) = 11*c**2. Give m(h(f)).\nAnswer: 2783*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.1*1507229.\nAnswer: -150722.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Sort -209, -1, -4, 1, -2 in decreasing order.\nAnswer: 1, -1, -2, -4, -209","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((2*sqrt(153) - sqrt(153))*5*-4*5)\/(sqrt(81)\/(sqrt(9) - 3*sqrt(9)) - sqrt(9) - sqrt(324)*-6).\nAnswer: -200*sqrt(17)\/69","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -89813*d**2*m + 387*d**2 - 140*d*m*z + 5*d*z - 693 wrt m.\nAnswer: -89813*d**2 - 140*d*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((d**(-1\/2))**(-5\/4)*(d**(1\/3))**(-20))**(-14) assuming d is positive.\nAnswer: d**(1015\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of 1061310, 1061502, 1061828, 1062294, 1062906, 1063670, 1064592?\n\"Answer: w**3 + 61*w**2 + 2*w + 1061246","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Express -2*h**3 - h - h + 4*h - 3 in the form d*h + i + p*h**2 + y*h**3 and give i.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 66\/14 - (-2)\/7. Let j = 84 + -6. Suppose 68*q + 50 = j*q. Solve 4*k - 12 = -3*t, -10 + 30 = q*k + y*t for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 11461 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: -23 * -3.70403\nAnswer: 85.19269","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 8 divided by 638?\nAnswer: 4\/319","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*r - 80 = 2*r. Suppose 10 = 5*w - 5*p, -3*p + r = 4*w + p. Let q(v) = v**2 + 3*v - 4. Calculate the lowest common multiple of w and q(-5).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when (2769\/(-52))\/((-15)\/20) is divided by 19?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.2 in -5, -0.13, -1.8, 5?\nAnswer: -0.13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Determine r so that 5*r - 7*r**3 - r**3 - 56*r**5 - 44*r**4 - 5*r = 0.\nAnswer: -1\/2, -2\/7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 12331557 (base 8) to base 6.\nAnswer: 134324211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -11*n + 10 = -n. Suppose p - 11 = -3*g, 0 = -p - 2 + n. Suppose -g*k = -i - 230, 4*k + 4*i = k + 182. What is the tens digit of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 42766?\nAnswer: 2, 21383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 16\/(-32)*8\/(-22).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is -2670000 rounded to the nearest one hundred thousand?\nAnswer: -2700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Expand 1 - 1 + q**3 + (-2*q + 4 - 4)*(q**2 + 3 - 3) + 2*q**3 - 132*q - 572*q**2 + 572*q**2.\nAnswer: q**3 - 132*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 3 - 1\/90*262. Let m = 257\/360 - c. What is the common denominator of 19\/11 and m?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -2?  (a) -10\/3  (b) -1\/2  (c) 69  (d) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 202289317\/12474 - 178386\/11. What is the common denominator of 13\/180 and x?\nAnswer: 11340","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -1807127521\/9534060 - 13\/211868. Let q = 1690\/9 + g. Find the common denominator of 67\/40 and q.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*c - 2*b + 38 - 1, 2*c - 18 = -4*b. Let h = -316 + 318. Calculate the remainder when c is divided by h.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -1520143 smaller than -1520144?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -2 - -6. Let l(h) = -h + 3. Let d be l(u). Which is smaller: d or 0?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(t) = 47700*t - 524704. Give q(11).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 28352*y + 17427*y + 47674*y + 5111*y.\nAnswer: 98564*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (i**1)**(5\/14)\/(i**(-2)\/(i\/((i*i*i*i*i*i**(3\/2))\/i))) assuming i is positive.\nAnswer: i**(-15\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 1a963 + 8?\nAnswer: 1a970","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve 14*k + 5*a - 85 = 0, -11 = -4*k + 1294*a - 1291*a for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: 77 divided by 39\nAnswer: 77\/39","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -276*k - 864 = -60*k. What is the nearest to 0 in k, 457, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 1730 and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Put 2, -11, -1, 1 in decreasing order.\nAnswer: 2, 1, -1, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -28 + 68. Let u = -66 - -69. What is the common denominator of 56\/5 and (-119)\/i + u\/12?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (v**(-1\/6)*v**3)\/(v*v**1)**(-2\/21)*(((v\/v**(2\/15))\/v)\/((v*v*v**(-3\/2))\/v))\/(((v*v*v*v\/(v\/v**(2\/3))*v)\/v)\/v*v**(-2)\/v) assuming v is positive.\nAnswer: v**(391\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth biggest value?  (a) -3  (b) -1  (c) 0.04  (d) -1\/5  (e) 298\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2, 1, -1, 10.\nAnswer: -2, -1, 1, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -2810486, -5621024, -8431562, -11242100?\nAnswer: -14052638","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*b = -65 + 680. Let d = b + 254. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 6 divide 26652?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -3 + 3. Let b be (49 - 2) + (0 - 1). Is (-1)\/(-2)*(b - i) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -63*s + 54*s = -45 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-6*sqrt(21)*2 - sqrt(567)\/sqrt(3))\/((sqrt(77) - (sqrt(77) + (sqrt(77)*-2 - sqrt(77)) - sqrt(77)))\/sqrt(11)*-4).\nAnswer: 15*sqrt(3)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (4 - (-5 - -4 - -3)) + 0 - 5.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 182477837 to the power of 1\/3, to the nearest integer?\nAnswer: 567","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve -6*m - 4*a = -0*m + a - a - 40, -3*m - a + 16 = 0 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -519*c + 527*c - 88 for c.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 15183 = 15*u + 6*u. Suppose -1644 = -2*w - 4*c, 5*c + 1710 = 3*w - u. What is the hundreds digit of w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -245 - -249. Solve -3*r = 4*m - 2, -2*m + v*r - 10 + 0 = 0 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 10\/55 - 0 - (9 + 657\/(-77)). What is the smallest value in 5, -0.3, 3, 0.4, i?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is fifty-nine quarters of a hour in minutes?\nAnswer: 885","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-18 - 0)\/(3\/22). Let y = d + 187. Let x = 117 - y. What is the tens digit of x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*x = -16*x - 7*x + 480 for x.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let g(k) = 20*k**2 + 160*k - 4. Calculate g(-8).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1272?  (a) -2\/9  (b) -2  (c) 1\/2  (d) -4\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 493 - 193. What is the smallest common multiple of (33\/(-21))\/(22 - (-926)\/(-42)) and i?\nAnswer: 3300","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 165428 divided by 165428.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 107 + -89. Solve 2*v - j - 4*j = u, 4*j = -16 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(h) = -13*h**2 - 6*h + 2. Let w(m) = 6*m**2 + 3*m. Calculate 2*s(q) + 5*w(q).\nAnswer: 4*q**2 + 3*q + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 48*v - 2*v**2 - 15*v - 17*v - 16*v.\nAnswer: -2*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from oooooolooookkol. Give prob of sequence lo.\nAnswer: 11\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -y - y = -8. Suppose 0 = y*b + 16, -5*t = b + 8 + 1. List the prime factors of t\/(1\/(-1 + -28)).\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 105894 to the nearest integer?\nAnswer: 325","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -124 - -157. Find the second derivative of -c - 40*c**5 + u*c**5 - 5 - 39*c**5 wrt c.\nAnswer: -920*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -1\/3, 117589, -0.1, 2, 0.01?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -0*o + 2*o - 2*s - 12, s + 16 = 3*o for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Total of 710 and 0.0807.\nAnswer: 710.0807","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2 + 2 - 11 - 771*w + 7.\nAnswer: -771*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (c**(10\/9)\/(c*c\/(c*c\/(c\/(c**0*c)))))\/(c**6*c*c\/(c*c**(2\/3))) assuming c is positive.\nAnswer: c**(-47\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -80 + 84.8. Let m = t - 4.5. What is the biggest value in -0.04, 3\/4, m?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 225 and 175.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -5300961 or -26504803\/5?\nAnswer: -26504803\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: How many seconds are there in 2.70141us?\nAnswer: 0.00000270141","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (0 - -2) + 2 - ((-1 + -25 - -13) + 20).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {w: 3, g: 1, s: 1, p: 1, e: 1}. What is prob of picking 1 s, 1 g, and 2 w?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Do 0.65 and -103682 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 3 + 5*v**3 + 285*v**2 - 279*v**2 + 49*v**3 + 187*v**3 wrt v?\nAnswer: 1446","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -6 + 8. Let o be (k\/(-2))\/((-1)\/2). Let 12*q**2 + 4 - 4*q**2 - 3*q**2 - 3*q**o + 6*q = 0. Calculate q.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -3 + (5 - (2 + -6)) - 18?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:44 PM and 4:53 AM?\nAnswer: 429","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*t**2 - 6604*t - 5451602.\nAnswer: -2*(t + 1651)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 3\/(-9)*(-10 + 1). Solve -g*z + 0*z - 3 = 0 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -160 - -343. Does 12 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (979 - (0 + -2)) + 2. Suppose -3*k - v = -4742. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -2?  (a) 3  (b) -11  (c) 2\/3  (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -3256 + 3171. Sort -2, -3\/4, a in ascending order.\nAnswer: a, -2, -3\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-20670)\/(-1035) - (4 + -2 + 18)?\nAnswer: -2\/69","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(x) = x**3 - 6*x**2 - 2*x - 26. Calculate the smallest common multiple of k(8) and 2.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(22)\/(sqrt(11)*1*2)*-2 - ((sqrt(98) - -2*sqrt(98))**2 + (1*sqrt(6)\/sqrt(3) - sqrt(2))**2 + -1).\nAnswer: -881 - sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -26*a + 35 + 17 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*g = -6*g + 412. Suppose -g*t = -200*t - 732. Calculate the smallest common multiple of 14 and t.\nAnswer: 854","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -46\/55 and ((-12)\/(-75))\/(-5 - (-638)\/120)?\nAnswer: 1045","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (4*(sqrt(1008)*-1 - sqrt(1008)))**2 + (sqrt(1008) + -1 + sqrt(1008))*-2.\nAnswer: -48*sqrt(7) + 64514","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let y(b) be the second derivative of 347*b**4\/6 + 5*b**3\/6 + 3*b**2 - 61*b. Is y(-1) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 38 = k - 2*k. Let v be 2\/8 + k\/(-8). Let d be 2*(2 - (-3)\/(-3)). Solve v*c - o = -17, 0 = -d*c + 2*o - o - 8 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -235*p = 43*p + 280*p + 35154 for p.\nAnswer: -63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1503 is divided by 90?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Divide 5 by 41.\nAnswer: 5\/41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 18367184, 4, 0.1?\nAnswer: 18367184","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 2\/(7\/(35\/(-10))). What is the tens digit of 34\/(2\/q)*(4 - 6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 0.221 and -144040.\nAnswer: -31832.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: 87.8146 + 0.4\nAnswer: 88.2146","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 487622053 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = g + 3*i - 6, g - 3*g - 5*i = -10. Suppose 3*d - 18 - 12 = g. What is the units digit of d?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(g) be the first derivative of -4 + 2\/5*g**5 + 0*g**2 + 8\/3*g**3 + 0*g + 2*g**4. Let k(i) = 0. What is i?\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 6*s - 85*s**4 + 2*s + 428*s**2 - 430*s**2 wrt s.\nAnswer: -2040*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 1\/445 - 13809\/6230. Let n be (-346)\/(-1 - 157\/(-113)). Let s = 889 + n. Find the common denominator of b and s.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 + 1 + 0)*(-q + 2*q + q) + 3 - 3 + q - 5*q + 0*q - 8*q.\nAnswer: -10*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 41\/220 and 9\/638?\nAnswer: 6380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (5*((2*((sqrt(153) - (sqrt(153) - sqrt(153)*-2)) + sqrt(153)) - sqrt(153))*5)\/(-4*sqrt(900)*2))**2.\nAnswer: 3825\/256","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1986 is divided by 181?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 3 + -2. Let p be (-1584)\/165 + -4 - -14. Sort 0.5, p, 0.056, y in descending order.\nAnswer: y, 0.5, p, 0.056","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-32)\/196*(-18837)\/3588?\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 657519697 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 160956 and 168708?\nAnswer: 133110612","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is -3 greater than or equal to -28?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: 0.4 * -8.24\nAnswer: -3.296","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Convert 20160.91 grams to milligrams.\nAnswer: 20160910","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 389*z + 200 = 409*z for z.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.000031 rounded to 5 dps?\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 2052989 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let z(i) = -3*i**2 - i + 2. Let t be 4 - (2 - 2)\/2. Suppose 3*r - r + t = 0. Determine z(r).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 0.06323304  (b) -0.1  (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 6531866?\nAnswer: 2, 11, 367, 809","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -2285 + 1964. Let h = -0.43 + 0.33. Are h and b non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -23*v = 11*v + 164 - 266 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 3 - (3 - 2)*(-1 - -1). Suppose -2\/3*j**4 + 2\/3*j**w + 2*j**2 - 2\/3*j - 4\/3 = 0. What is j?\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(v) be the second derivative of -v**3\/3 - 2*v. What are the prime factors of f(-2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 20785 and 6?\nAnswer: 124710","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5 + -5*((sqrt(3872) + -1 - sqrt(3872))**2 - (sqrt(288) + 1*sqrt(288))) + 4.\nAnswer: 4 + 120*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 719 minutes before 1:26 AM?\nAnswer: 1:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 1163 and 1.\nAnswer: 1163","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 4599359210 a multiple of 1121?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 + 6 + 0 + (1 + 4 - 3)*(-3 - 1 + 5) + 2 - 4 + 3)*(2*g - 8*g - 2*g).\nAnswer: -72*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 75.9 and 478.5.\nAnswer: 36318.15","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let s(r) = r**3 + 131. Is s(0) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*c + 5*c - 3*b - 48 = 0, 5*c - 3*b - 216 = 0. Let q = c - 28. What are the prime factors of q?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 10 a factor of 16180?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 636 minutes before 9:07 PM?\nAnswer: 10:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let 4*m**2 + 5136*m + 1648656 = 0. Calculate m.\nAnswer: -642","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -9*j + 263*j + 9*j to the form v*j + z and give v.\nAnswer: 263","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 90 minutes after 10:07 PM?\nAnswer: 11:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is q in 3*q**3\/4 - 8813*q**2\/4 + 104460*q - 1248336 = 0?\nAnswer: 24, 8669\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let q(c) = 3918*c + 282049. What is q(-72)?\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.315 - -58?\nAnswer: 57.685","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let i(w) = 7*w - 11. Let u(m) = -m + 1. Let j(t) = i(t) + 6*u(t). Give j(-5).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 1208872*k*y**3 + 2*k*y**2 + 2*k*y + 2*k - 2*y**3 + 49214*y**2 + 27 wrt y?\nAnswer: 7253232*k - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: -46232233 divided by -12\nAnswer: 46232233\/12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -5007 + 5009. Let o(s) be the first derivative of -21 + 0*s**w - 4*s + 4\/3*s**3. Factor o(x).\nAnswer: 4*(x - 1)*(x + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 7767819 to the nearest ten thousand.\nAnswer: 7770000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (a**(-4\/5))**(-10) assuming a is positive.\nAnswer: a**8","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let y(h) = h + 3. Let k be y(-3). Let c(s) = -s**2 + 6. Let f be c(k). Which is bigger: 8 or f?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 10*a - 12*a + 524. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 209*c - 410*c + 3*m + 9 = -201*c, -4*m = -c + 11 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let d(l) = 15*l - 7. Let a be d(-9). What is the tens digit of (a\/6)\/(3 - (-112)\/(-36))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-6*2*sqrt(171)*3*5)\/(4*(sqrt(99)\/(sqrt(33)\/sqrt(3) + sqrt(11)) + sqrt(27)\/(sqrt(6)\/sqrt(2)))).\nAnswer: -30*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -6.7  (b) 0.2  (c) 28  (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 18.82  (b) 2\/15  (c) -5  (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 989677 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let d(w) = 80*w**2 + w. What are the prime factors of d(-1)?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {p: 4, s: 1, o: 1, w: 2, c: 4, r: 7}. Give prob of picking 1 s, 1 o, and 2 p.\nAnswer: 1\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: How many seconds are there in 3\/32 of a day?\nAnswer: 8100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let k(f) = 24*f + 4. Let m(z) = -71*z - 13. Let v(a) = -17*k(a) - 6*m(a). Find the first derivative of v(x) wrt x.\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from jjdmmjdjxnjmxjljxn. Give prob of sequence ddmn.\nAnswer: 1\/6120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 1035640 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 861032?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -217.76 - -212. What is o rounded to one decimal place?\nAnswer: -5.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -1172 + 1172.13152. What is z rounded to three decimal places?\nAnswer: 0.132","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: -441 (base 7) to base 9\nAnswer: -270","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 739 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: Is 1987217 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9*d - u = -14*d + 1890, 0 = 3*d - 3*u - 1134. What is the least common multiple of d and 22?\nAnswer: 4158","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 756 (base 11) in base 2?\nAnswer: 1110001100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 726221?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 24 a factor of 1523?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 25*d + 8 = 29*d. Solve 0 = d*n, 0*t - 2*n = -3*t - 3 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (13\/10*4)\/(92\/230). Solve -6*z + 10*z = 4*s + 20, 3*z = s + m for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 20155 to the power of 1\/3, to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let l(z) = 64*z. Let k(n) be the third derivative of n**5\/20 - 12*n**2 + 81. Give k(l(w)).\nAnswer: 12288*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(84)\/sqrt(3) - sqrt(567)*2)**2.\nAnswer: 1792","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*o + 49 = 3*b + 8, 23 = 3*b + 5*o. Factor -5*j**3 + b*j**4 - 6*j - 37*j**2 - j**3 - 14*j**3.\nAnswer: j*(j - 3)*(j + 1)*(11*j + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -20 - -20. Solve n = -25*p + 26*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 v, 1 c, and 2 i when four letters picked without replacement from vcibvvbbiiv.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let j(r) = r**3 + 5*r**2 - 10*r - 20. Let v be j(-6). Let l(p) = -2*p**2 + 8*p - 2. Let u be l(v). Let z be u\/(-2) + 18 + -20. Which is bigger: z or -3\/14?\nAnswer: -3\/14","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 282 - 2*b**2 + 290 - 13*b**2 - 572.\nAnswer: -15*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, 81, 0, -3, -6 in decreasing order.\nAnswer: 81, 0, -3, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 6*(sqrt(18) + 1 - (sqrt(2) + sqrt(242) + (sqrt(242)*-2)**2)).\nAnswer: -5802 - 54*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let h(w) = w. Let y(l) = -3181 - 32*l**2 + 1593 + 1588. Determine y(h(p)).\nAnswer: -32*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose z = -21 - 21. Does 3 divide (2\/6)\/((-1)\/z)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(a) = 22*a + 187. Let b(s) = 7*s + 63. Let x(u) = 11*b(u) - 4*m(u). Is x(-13) a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(k) = -k**3 + 7*k**2 + 17*k + 22. Let l be b(9). Suppose 4*n = -4*j - 3639980, -5*j - l = -38. Round n to the nearest 100000.\nAnswer: -900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 11229 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {s: 7, u: 2, g: 3}. What is prob of sequence ssu?\nAnswer: 7\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*i - 4*c - 16 = 0, -i = 3*c - 20 - 4. Suppose -24*x + 21*x + i = 0. Solve -x*k + 2*k = -u, 5*u - 2*k = -9 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 4\/7 - 19\/21. Which is smaller: f or 1?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from bwbwcccbbbcbcccb. What is prob of picking 1 c and 2 w?\nAnswer: 1\/80","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 32*a**3 - 2*a**3 - 6*a**3.\nAnswer: 24*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let f(s) = -s**2 - 17*s - 48. Let t be f(-12). Sort 5, t, -1, -2 in descending order.\nAnswer: t, 5, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 360 and 29280.\nAnswer: 87840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 5 - 8. Let c = 346 + -354. Let l = z - c. Solve -5*a + 14 + 36 = 5*d, l*d = 3*a + 10 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (k**3 - 3*k**3 - 5*k**3)*(k**2 + 8*k**2 + 49 - 11*k**2) - 9*k**4 + 0*k**5 - 2*k**5 + 12*k**4 + (2 - 2 + k**2)*(2 - 2 - k**3).\nAnswer: 11*k**5 + 3*k**4 - 343*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let s(d) = -d**3 - 7*d**2 - 7*d - 4. Let u be s(-6). Let k be ((-3)\/3)\/(u\/3). Which is the nearest to -1?  (a) -1  (b) 2\/5  (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(u) = -u + 3. Let f(y) = 9*y - 86. Determine f(w) + 6*z(w).\nAnswer: 3*w - 68","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let p(w) = -w**3 - 4*w**2 + 7*w + 6. Let t be p(-5). Let d be t\/12 - 13\/(-21). Let x be 0 - -2*(-1)\/2. Which is bigger: x or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*r - 6*r = 0. Suppose 2*d = 5*b + 34 - 36, -3*d = -3*b - 6. Suppose d*g = 3*u + 132, r*g - 2*g - 2*u + 52 = 0. What are the prime factors of g?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(8) - (5*sqrt(200))**2.\nAnswer: -5000 + 2*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {y: 14, c: 4}. What is prob of sequence ccy?\nAnswer: 7\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-20)\/6 - (-9)\/((-162)\/12). Sort 5, p, 2, -1 in ascending order.\nAnswer: p, -1, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-3*(sqrt(76) + 2)*-3)**2.\nAnswer: 648*sqrt(19) + 6480","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-1)\/(-2) + (-8)\/(-16). Let c(f) = 3 - 1 - f - 2 - l. Let m(q) = 3*q**3 - 4*q - 6. Calculate 6*c(p) - m(p).\nAnswer: -3*p**3 - 2*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 83884 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 68244*v**3 + 545491 wrt v?\nAnswer: 204732*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is -127085677 rounded to the nearest 100000?\nAnswer: -127100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Round -445460 to the nearest 10000.\nAnswer: -450000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3119?\nAnswer: 3119","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 224199522 to the nearest integer?\nAnswer: 607","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 8.248381 tonnes in nanograms?\nAnswer: 8248381000000000","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 14937?\nAnswer: 3, 13, 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 + 1 + 2*g)*(271 + 953 + 2219 - 264 + 2011).\nAnswer: 10380*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let b(k) = -7*k + 67. Let y be b(9). Solve -5*z + 2*z = -2*p + 4, -y*p = 5*z - 30 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -14*a**3 + 5*a**2*o - 10*a*o - 131008*o with respect to a.\nAnswer: -42*a**2 + 10*a*o - 10*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1535?\nAnswer: 5, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 2 - 1. Let b = h + 2. Solve 9 = b*n - 6 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 335823589 to the nearest integer?\nAnswer: 18325","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let q(r) = -r**3 + 15*r**2 + 36*r + 35. Calculate the remainder when q(17) is divided by 35.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 48778217 * 5.\nAnswer: 243891085","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*n + 46684 - 238852 = -11*n. What are the prime factors of n?\nAnswer: 2, 17, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2769109.\nAnswer: 7, 73, 5419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-4 + (sqrt(1584) + 4)*-1 + (1 + sqrt(1584))*-4 + 1 + 0)*-4)**2.\nAnswer: 21120*sqrt(11) + 635536","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of 54888, 109774, 164660, 219546?\n\"Answer: 54886*u + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 6973 is divided by 247?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 6979599 and 1128016?\nAnswer: 111673584","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Round -33374467.7 to the nearest 100000.\nAnswer: -33400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 7 in -0.02, 47, 0.2, -3, -0.1?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose q - 10*q = 54. Let j be (q\/(-4))\/(10\/(-68760)). Let v = j - -5594. Round v to the nearest 1000.\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -162*i + 39*i = -i - 11*i - 5328 for i.\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 14, 20, 24, 26, 26, 24, 20?\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 3 + -1 + 1 + 24. Suppose m + 4*i - n = 4, -3*i + 72 = 4*m. What are the prime factors of m?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 34a - -9?\nAnswer: 355","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 7\/(-7) - (12 + -1). Let w be (-2 + 15\/9)*q. Suppose 0*c + 3*c = -3*j + 150, 0 = w*c - 20. List the prime factors of j.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2010*g**2 - 2 + 0 + 509*g + 4*g**3 + 1444*g**2 + 1.\nAnswer: 4*g**3 + 3454*g**2 + 509*g - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((z*z**1*z)\/z)\/z**(-1\/7) assuming z is positive.\nAnswer: z**(15\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is -21686688.55 rounded to the nearest 1000000?\nAnswer: -22000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -5\/60236 in -3, -2, -5\/6?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 8 and 4696?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 4328.20811 rounded to zero decimal places?\nAnswer: 4328","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {x: 1, v: 3, l: 1, t: 2, k: 4}. Give prob of sequence vk.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 23940703 and 852?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -12*a + 3*a + 5931 = 0. Suppose -16*x = 195 - a. Calculate the greatest common divisor of 261 and x.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -4455107.5 to the nearest one million.\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence hh when two letters picked without replacement from {k: 6, v: 1, h: 2, l: 1, o: 3}?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (y**(1\/4)*y\/(y\/y**6))\/(y\/(y*y**(-6\/7)))**(-2\/17) assuming y is positive.\nAnswer: y**(3023\/476)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let p(i) = i**3 + 3*i**2 + 13*i + 17. Let z be p(-2). Which is the third smallest value?  (a) 5  (b) z  (c) 1\/12  (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 203317?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 0.1  (b) 1.3  (c) -0.2  (d) -0.4  (e) -18\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is -12119952 divided by 24?\nAnswer: -504998","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let d(n) = 4*n**2 - 5*n + 1. Let w be d(1). Solve -2*a = 2*t - w*t + 14, a = -5*t - 27 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (6\/5)\/(1\/5). Let p be (8\/k)\/((-6)\/(-9)). Suppose -p*y - o - 3 = -1, -5*o - 3 = 3*y. Put -3, y, 2 in decreasing order.\nAnswer: 2, y, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 313600 (base 8) in base 3?\nAnswer: 12022002201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 1.94 + -1.9400315. What is x rounded to 6 dps?\nAnswer: -0.000032","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 8894.826 centuries to years.\nAnswer: 889482.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let g(r) = r**3 + r**2 - 3*r - 2. Let u be g(-2). Suppose -31*t - 28 = -10 - 18. Solve z + u*z = t for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -1\/411785 + 8762793\/3376637. Let q = 8\/41 - s. Find the common denominator of -53\/8 and q.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(a) = -8*a**2. Suppose 0 = 13*y + 14*y. Let x(w) be the first derivative of -8 + y*w + 0*w**2 + 2\/3*w**3. Determine r(x(g)).\nAnswer: -32*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 1100 and 1023550?\nAnswer: 550","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 158 minutes after 8:29 AM?\nAnswer: 11:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-60 - 10 - 45)*(5*b + 6*b**2 + 0*b - 8*b**2).\nAnswer: 230*b**2 - 575*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -102728, -204488, -306250, -408014, -509780, -611548, -713318?\nAnswer: -815090","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 223637861?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of -182, -356, -524, -686, -842, -992?\n\"Answer: 3*p**2 - 183*p - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -3, -4, -0.1?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-17 - 1 - (-12 + 6 + -70)) + -6?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*b = 4*b + 7. Suppose -b*k + 20 = -8. What is the greatest common divisor of 28 and k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 32 a factor of 2998?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:01 AM and 11:10 AM?\nAnswer: 609","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 24\/(-18) + 6\/4. Let l(z) be the second derivative of -c*z**3 + 0 + 4*z - 1\/2*z**2. Give l(1).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 0.58 + 0.05. Let r = p - -2.37. What is the third biggest value in -13, 2\/7, r?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth smallest value?  (a) -2\/5  (b) -2  (c) -10  (d) -0.06  (e) 1.5  (f) 11\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let i(p) = 7*p - 8. Let f(q) = -14*q + 17. Let a(z) = -6*f(z) - 13*i(z). List the prime factors of a(-2).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-1 - 1) + 1 + 10 + -5?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 210 - 209.8. Which is bigger: -4\/9 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: 6 + -2.4404\nAnswer: 3.5596","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 5\/(((-60)\/24)\/1)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 24\/9 + (-2)\/(-6). Let v(m) = 0*m + n*m**2 + 0*m + 0*m. Let s(a) = -2*a**2. Determine v(s(f)).\nAnswer: 12*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -39a - -5a18?\nAnswer: 563a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 141 + -42. What are the prime factors of (-2)\/(6\/(-9)) + k?\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 27*u + 3060 + 2367 = 228*u for u.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 8 and 137.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let u(r) = -2*r**3 - 67*r**2 - 37*r - 130. Let k be u(-33). Solve 0 = -5*q - k*l + 11, -5*q + 6*q - 3*l = 9 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(q) = 2*q**2 + 8*q - 4. Let n be (-5 - -10)\/(-8 - 106\/(-12)). Let f(w) = w**2 + 7*w - 3. Give n*f(u) - 5*b(u).\nAnswer: -4*u**2 + 2*u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -3?  (a) 3\/10  (b) -4  (c) -0.1  (d) -3.3  (e) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:17 AM and 3:36 AM?\nAnswer: 139","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let i(s) = -2*s**2 + 5*s. Let w = -847 - -850. Let o(t) = -4*t**2 + 9*t. What is w*o(d) - 5*i(d)?\nAnswer: -2*d**2 + 2*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*j - 3*x = -13, 0 = j + 3*j + 5*x. Solve 2*c - j*t = -17, -3*c + 2*t = c - 6 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(d) be the first derivative of 2\/3*d**3 + 0*d + 18 + 0*d**2 + 0*d**6 + 17\/7*d**7 + 0*d**5 + 0*d**4. What is the third derivative of p(q) wrt q?\nAnswer: 2040*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:21 AM and 5:31 AM?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Expand -n**5 + 25*n**5 + 19*n**5 + (24*n**3 - 24*n**3 + 6*n**4)*(-4*n + 4*n - 6*n).\nAnswer: 7*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -158*l**3*r**3 + 2*l**3 + 7*l**2*r*w**3 - l*r**3 + 11*l*r**2*w**2 - 677*l*w**3 wrt l.\nAnswer: -948*l*r**3 + 12*l + 14*r*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 2*-4 + (33 - 22). Suppose 0*c - 3*c = 24. Let w = 7 - c. Solve -8*i + w = -h*i for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -0.028 + -6.972. Which is smaller: q or -3?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 112967 is divided by 28223?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Convert 111 (base 3) to base 6.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -5\/6?  (a) -1  (b) 117  (c) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 21 is divided by 7?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -360 - -713. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(a) = 136584*a - 1229255. Give c(9).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((2*sqrt(72)*-5)\/(sqrt(864) - (sqrt(864) + (sqrt(864) - (sqrt(864) + sqrt(864)*-1)))))\/(-4*sqrt(196)*5*-3).\nAnswer: sqrt(3)\/504","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*p - 55 = 33*a - 38*a, -9*a + 2*p = -110 for a.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let n(m) = -14*m**2. Let l(y) = -536*y**2. What is n(l(g))?\nAnswer: -4022144*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -99 + 158. Let n = -56 + c. Suppose -3*u + 2 = -5*y + n, -3*y - 3*u = -15. Solve 3 - 5 = y*p for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (6 - 2)\/(3 + -1). Suppose -3*k - y + 11 = 0. Solve -k = -n + 1 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -802237071 + 802237043.99999935. Let z = j + 27. Round z to seven dps.\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 163321, 326679, 490037?\nAnswer: 653395","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -24 = -35*a + 11*a for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let x(j) = j + 2*j**2 - 7*j - j**3 + 1 + 3*j. Let y be x(1). Let m(l) = -l**3 + 6*l**2 - l + 3. Let i be m(6). Is y at least as big as i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(m) = 2*m**2 - 3*m. Let w(t) be the first derivative of -t**5\/120 - 14*t**3\/3 + 1. Let j(f) be the third derivative of w(f). What is j(k(x))?\nAnswer: -2*x**2 + 3*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of 285302, 570594, 855888, 1141184, 1426482?\n\"Answer: u**2 + 285289*u + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Work out -53974 * -3283.\nAnswer: 177196642","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -31\/33 and 41\/8106.\nAnswer: 89166","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let u(n) = 4*n + 3. Let i(m) = 9*m + 7. Calculate 3*i(v) - 7*u(v).\nAnswer: -v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-5 + 2 + 2)*(0 - 1 - 1)*(4*l + 2 - 2) + (3*l + l - 2*l)*(-4 + 1 + 4) + 2 - l - 2 - l + 3*l - 16*l.\nAnswer: -5*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*n + n - n)*(-1 + 3 + 0) + 35 - 35 + 2*n + n - 2*n + 5*n + (-1 + 1 + 2)*(0*n + n - 3*n) + 1 + n - 1.\nAnswer: 7*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Does 2 = 39\/22?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let u(d) = -d**2 - 7*d + 19. Let r be u(-9). Let g(p) = 5*p**2 - p + 1. Give g(r).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 7\/6  (b) -0.3  (c) 3  (d) 11\/15  (e) 0.1  (f) -4.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in 48\/5 of a decade?\nAnswer: 1152","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let f(t) = t**2 - t - 18. Let k be f(0). What is the tens digit of (-591)\/k - (-2)\/12?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(l) = l**2 - 7*l + 1. Determine s(8).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is -235585 divided by 47117?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -14 + 18. Suppose 5*h + 5 = 0, -c*z + 2*h + 9 = -5. Suppose 306 = z*u + 3*u. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(t) = t + 4. Let o = -4 - -1. What is the remainder when 2 is divided by i(o)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (3*(-1*sqrt(132) + sqrt(132)) + sqrt(132))\/(1*sqrt(300)).\nAnswer: sqrt(11)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {t: 2, m: 10}. Give prob of picking 1 m and 1 t.\nAnswer: 10\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(110) - (sqrt(110) + (sqrt(110) - (sqrt(110) - -3*sqrt(110))))*-2)\/(sqrt(70)\/(sqrt(28)\/sqrt(4))).\nAnswer: -3*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1 in -2\/5, -77, -7\/2, -2?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 525 minutes after 1:45 AM?\nAnswer: 10:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let w(x) = 3*x**2 - x. Let k be w(-1). Suppose 4*a = 2*c - 2, 2*a = 8*c - 3*c - 29. Suppose p**4 - 3*p**5 + k*p - p + 0*p**4 + 6*p**2 - c*p**4 = 0. Calculate p.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 27717 to the nearest integer?\nAnswer: 166","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let n(z) = 32*z**2 - 11*z**2 + 33*z**3 - 5*z - 9*z**2 - 12*z**2. Let j(v) = -34*v**3 + 4*v. Determine -5*j(y) - 4*n(y).\nAnswer: 38*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*q + 2*q - 4*q + (q + 0*q + 0*q)*(1 - 4 + 1))*(0 - 3 + 1) + 4*q - 4*q - 2*q + (0 - 1 - 1)*(3*q - q + 0*q) + 5*q - q - 2*q + 2 + q - 2.\nAnswer: 5*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*u - 4 + 0 = 0. Suppose -u*c - 25 = -j + 3*c, 3*j - 2*c - 10 = 0. Suppose j = -3*l + 206 + 58. What is the greatest common divisor of 8 and l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(b) = -3*b. Suppose -5*m = 0, -4*u - 6*m + 8 = -m. Let q(y) = -u*y + 2*y + y. Determine c(q(g)).\nAnswer: -3*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (12\/18)\/(1\/(-6)). Let o be 30\/4*i\/(-36). Which is the closest to 0?  (a) -3  (b) o  (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve z = 2*k + 1 + 5, 9 = -k + 2*z for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 3*s**2*u*y**2 + 4*s**2*u*y + 2*s**2 + 2*s*u*y**2 - 411*s*u*y + s*u - 658*u*y**2 - 5*y**2 wrt y.\nAnswer: 6*s**2*u + 4*s*u - 1316*u - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Put 0.02, 2\/9, -3, -0.5 in descending order.\nAnswer: 2\/9, 0.02, -0.5, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is -3916978 + -6537?\nAnswer: -3923515","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*m + 4*m = -16. Let s be (m\/(-6))\/((-10)\/165). Let y = -4 - s. Calculate the greatest common factor of 56 and y.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(g) = -13*g**2. Let n(a) = -77*a + 77*a + 2*a**2. Determine q(n(w)).\nAnswer: -52*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 15 divided by -26?\nAnswer: -15\/26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let x(n) = -n**2 - 14*n + 2. Let w(c) = 5*c - 1. Calculate 11*w(z) + 4*x(z).\nAnswer: -4*z**2 - z - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let y(m) be the first derivative of 2*m**3\/15 - 124*m**2\/5 + 1809. Factor y(j).\nAnswer: 2*j*(j - 124)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 12 divided by -22499.\nAnswer: -12\/22499","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 5 + -2616 + -24 + 1*5. Let v = s + 3713. List the prime factors of v.\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(m) = -4*m**2 - 104*m + 1038. Calculate i(-36).\nAnswer: -402","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 4787649017 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(176)\/(sqrt(55)\/sqrt(5)))\/sqrt(8).\nAnswer: sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of -4695, -3669, -2669, -1707, -795, 55, 831, 1521?\n\"Answer: -2*y**3 - y**2 + 1043*y - 5735","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -14*v**2 + 25*v**3 + 13*v**2 - 18*v**3 to x*v + r*v**2 + c + t*v**3 and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (b\/b**(2\/5))**(-18\/13)*b\/b**(-2)*b*b**(1\/2) assuming b is positive.\nAnswer: b**(477\/130)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*q + 2*i - 116, i = 4*q - i + 94. Let o = 47 + q. What is the remainder when o is divided by 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (189\/18)\/3*1\/(6 - -1). Let c = 1\/16 + 7\/16. What is t in -c*t**2 + 0*t + a = 0?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-1*316\/4)\/((-1799)\/(-1799)).\nAnswer: -79","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -74, -630, -2170, -5186, -10170?\nAnswer: -17614","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let k(a) = 4*a**2 + 2314*a + 13885. Determine k(-6).\nAnswer: 145","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -39\/653 and -19\/45.\nAnswer: 29385","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 13 + 3 - (95 + -70)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-15)\/(-6)*(-9 + -21). Let x = 5877 - 5874. Sort x, -0.3, r.\nAnswer: r, -0.3, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1045?\nAnswer: 5, 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let -2100\/17 + 12\/17*p**2 - 2\/17*p**3 + 2090\/17*p = 0. Calculate p.\nAnswer: -30, 1, 35","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of -2101, -3905, -5709, -7513, -9317, -11121?\n\"Answer: -1804*f - 297","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 45*i - 109 - 116 + 47 - 153*i + 76*i.\nAnswer: -32*i - 178","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is fourty-five eighths of a millennium in months?\nAnswer: 67500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let y(m) = -m - 4. Let v be y(-6). Suppose v*c - 10 = -4*w + 30, -4*w + 50 = -3*c. What is the units digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -61*p**5 + p**2 + 13 wrt p.\nAnswer: -3660*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let x(a) be the third derivative of -5\/4*a**4 + 1\/6*a**7 + 0*a**3 + 0 + 13\/12*a**5 + 13\/12*a**6 + 29*a**2 + 0*a. Let x(w) = 0. Calculate w.\nAnswer: -3, -1, 0, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((m**0)**(1\/30))**(-1\/4) assuming m is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 4314 to the power of 1\/4, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 270464, 540677, 810890?\nAnswer: 1081103","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let b(w) = -w - 41. Let m(q) = -459 + 151 + 151 - 5*q + 157. Give b(m(a)).\nAnswer: 5*a - 41","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -4*q - 3*t + 8, 83 - 91 = -4*q - 11*t for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3763 - 1835 - 9*z**3 - 1928.\nAnswer: -9*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2*s**3 - 28 + s**3 - 15.\nAnswer: -s**3 - 43","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 424 minutes before 2:06 AM?\nAnswer: 7:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 4\/6 + -7 + 282\/45.\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ymzemymzezmyyykm. What is prob of sequence ek?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -23 + 25. Let h(x) = 11*x**2 - x - 2. Let w be h(a). What is the greatest common factor of 5 and w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -8 divided by 49186791?\nAnswer: -8\/49186791","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of -33, -70, -107, -144, -181?\n\"Answer: -37*h + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 8 + (162\/9)\/(-2). Let a = 586\/7 + -84. Let y = 0.9 + -1. What is the nearest to y in 1, d, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 763810.3mg to kilograms.\nAnswer: 0.7638103","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Total of -53669683.84 and -0.059.\nAnswer: -53669683.899","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -1a3 - -4?\nAnswer: -19a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Convert 840975.9 decades to millennia.\nAnswer: 8409.759","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-5768 + 1352 - 5100 + 1660)*(-3*k**2 - 3*k**2 + 7*k**2).\nAnswer: -7856*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -111\/14 and -179\/563094.\nAnswer: 563094","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -2.53 + 1.62. Let c = -58 + 58.91. Let z = s + c. What is the closest to z in 5, -1, -3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {e: 1, q: 1, c: 7}. Give prob of sequence ceqc.\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (18 - 0) + (213 - 221).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence xg when two letters picked without replacement from gqwxwuc.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let b(h) = 36*h**2 - 61*h + 333. What is the hundreds digit of b(7)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:20 PM and 2:06 AM?\nAnswer: 706","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is -2526518 divided by -6?\nAnswer: 1263259\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: (-21 - (-39767)\/1794)\/((-14)\/(-2))\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 214.283 - -3.118. Let f = c + 0.599. Is 0.2 < f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(t) = t**2 - 13*t + 21. Let h be w(12). Suppose -h*b = -5*b - 36. Solve -3*k + 0*k = -b for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(n) = 5*n + 2. Let q be 6 - (-15 - -1078) - (-1 - 1). Let b = 1079 + q. What is the least common multiple of y(2) and b?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.015597054 to 4 decimal places.\nAnswer: 0.0156","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 414\/24 - 4\/16. Let i be (9 - n)\/((-1)\/(-1)). Is 8\/(-12)*1884\/i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 13 - 5. Calculate the remainder when 23 is divided by s.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -12 = 4*c - 8*c. Find the first derivative of f - c + 3*f - 4*f**2 - 4*f wrt f.\nAnswer: -8*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 17128.4l?\nAnswer: 17128400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 0.36  (b) 2\/169  (c) 3556  (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let g(x) = 19*x + 45. What is g(-2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify i**(2\/27)\/i**(-6\/5)*(i\/(i\/i**(-1\/6)))**(-32) assuming i is positive.\nAnswer: i**(892\/135)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve -159*n + 64*n + 74*n + 1273 = -88*n for n.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 10\/63 - 4\/9. Let y = 3\/17 - 23\/34. What is the nearest to -0.1 in y, -2, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of 2 and -477011.\nAnswer: -954022","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 98034, 196093, 294152, 392211, 490270?\nAnswer: 588329","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 25 a factor of 9605232?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:46 AM and 5:25 PM?\nAnswer: 639","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3 - 1 + 1)*(10 + t - 10).\nAnswer: 3*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 0 - -442252?\nAnswer: 442252","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -652*m + 635*m + 680. Calculate the smallest common multiple of 32 and m.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 12\/20 - 4\/20. Which is the third biggest value?  (a) 1.7  (b) -3  (c) r  (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of -152, -1241, -4204, -9977, -19496?\n\"Answer: -156*v**3 - v**2 + 6*v - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 4 and 228.\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0006996 to 4 dps.\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 43386 - 11*h - 43386 + 21*h**3.\nAnswer: 21*h**3 - 11*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 672256 + -0.0513?\nAnswer: 672255.9487","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ll when two letters picked without replacement from zzlzzlzllz.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 125 a factor of 7332?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {f: 3, e: 11}. What is prob of sequence efe?\nAnswer: 55\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (p*p**(5\/2)*p**(-7))\/((p*p**(-31\/4)*p)\/(p\/(p*(p*p\/p**(-7)*p)\/p))) assuming p is positive.\nAnswer: p**(-27\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 2 + -5. Let r be (-9)\/(-9) + (1 - p). Let j(g) = g - 1. What are the prime factors of j(r)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 5, 0.52, 0.1, 0?\nAnswer: 0.52","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 28349 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3 + 15 = 6*u for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let y(r) = -r**3 - 7*r**2 - 9*r + 6. Give y(-5).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: -4.711 times 0.5\nAnswer: -2.3555","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -4\/257275985 or 0?\nAnswer: -4\/257275985","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(5040)*1 + (sqrt(245) + sqrt(245)*-2)\/sqrt(7))\/(3*3*sqrt(28)\/sqrt(4)*-4).\nAnswer: -11*sqrt(5)\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 1042226*q**5 + 7*q**2 + 29981.\nAnswer: 62533560*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*f + 39 = 3*m, -2*m - m - 4*f + 13 + 26 = -8*f for m.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: (12 - 2109\/(-1330)*-7)\/(5\/10)\nAnswer: 9\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 120 - 85.1. Put -2, s, 1 in decreasing order.\nAnswer: s, 1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(n) = 108*n**2 - 3*n - 9. Let u be w(-2). Calculate the greatest common factor of u and 33.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 566387 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Sort -9\/314, 11, 1, 4, 2\/5 in increasing order.\nAnswer: -9\/314, 2\/5, 1, 4, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 28145.\nAnswer: 5, 13, 433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 39*k**3 - 33*k**3 - 109*k**3 - 286*k**3.\nAnswer: -389*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 164 - 169. Which is the nearest to 0.1?  (a) -3  (b) h  (c) -3\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (k - 22*k - 42*k)*((2 + 3 - 3)*(1 + 3 - 2) + 0 - 1 + 6 - 1 - 5 + 3).\nAnswer: -378*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 1751005448 to the nearest integer?\nAnswer: 41845","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: How many milligrams are there in 857.1718kg?\nAnswer: 857171800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 152512 a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let r(c) = 445*c - 97677. Give r(218).\nAnswer: -667","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 43 - 27. Suppose -i - 2 = -3*f. Suppose -3*n + 5*x = -28, -n + 5*x + f = -0*x. What are the prime factors of n?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: 42 - (36 + 37 + -83)\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let m(p) = 3*p - 57. Let b be m(19). Suppose -4*a - 5*s - 6 = 0, -4*a + b - 14 = s. Sort 1, -1, a, 3 in increasing order.\nAnswer: a, -1, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 1 - -8957?\nAnswer: 8958","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 6538868 to the nearest integer?\nAnswer: 2557","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 35179 or 34819?\nAnswer: 35179","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -277 - -146. Let b = x - -263. Suppose -h - 3 = 0, -h = u + u - 21. What is the highest common divisor of b and u?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 905374.9l in millilitres?\nAnswer: 905374900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 4 + -2. Let i(y) = y - 2. Let t be i(4). Let s be ((-18)\/(-15))\/(t\/5). Sort l, s, -4.\nAnswer: -4, l, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 2673 and 66?\nAnswer: 5346","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 320231320 (base 4) in base 7?\nAnswer: 1655203","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4 - 2 = 3*y. Let w(u) = 2. Let l(x) = x - 2. Let a(d) = y*w(d) - 2*l(d). Let s(r) = -r. Determine s(a(z)).\nAnswer: 2*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let o(r) = -2*r**2. Suppose 0 = -12*t + 176 + 292. Let b = t + 27. Let f(z) = 32 + 34 - 38*z - b. What is o(f(i))?\nAnswer: -2888*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4*x**2 + 1357607120*x + 115193568267168400.\nAnswer: 4*(x + 169700890)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:22 PM and 7:18 PM?\nAnswer: 296","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 2473 + -1622. Is 39 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -161*o + 161*o + 29621*o**2 - 29365*o**2.\nAnswer: 256*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Does 16 divide 817?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 6*((-28)\/8)\/(-7)*15. Suppose -5*b = 3*a - f, -4*a = -a - b - 27. Does 10 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 22*b - 889 - 37*b + 17*b + 845.\nAnswer: 2*b - 44","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 85236.082957 - 85236. Let a = c - 0.083. What is a rounded to five dps?\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 470 - 4707\/10. Let h = 3 - 4. Find the common denominator of h\/(-4) - (-518)\/24 and u.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -20128240 times -5?\nAnswer: 100641200","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: -1351442 (base 6) to base 9\nAnswer: -126368","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Express (22*z - 42*z + 30*z)*(-4 + 3 + 3) + 0 - 3 + 1 + z in the form s + y*z and give y.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 26292, 26317, 26342?\nAnswer: 26367","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -94 + 96. Let u(y) = -y**2 - y. Let k(x) = -x**3 - 2*x**2 - 7*x. What is a*u(d) - k(d)?\nAnswer: d**3 + 5*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -3*f*m*n**2 - 4*f*m*n - 3*f*n**2 - 36*f*n + 10*m*n**2 - 54*m - 116*n**2 - 27*n wrt n?\nAnswer: -6*f*m - 6*f + 20*m - 232","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -o + 15 - 6. Let r = -5 + o. Solve -r*i + 3*i + 2 = 0 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2 + g - 5 + 4)*((0*g - 44*g - 11*g)*(g + g + 0*g) + 6*g**2 + 4*g**2 - 5*g**2)*(1 - 2 + 0).\nAnswer: 105*g**3 + 105*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let c(a) be the third derivative of 0 + 0*a**3 + 0*a**4 + 1\/30*a**5 + 39*a**2 + 0*a. Let s(j) = 28*j. What is c(s(b))?\nAnswer: 1568*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*q - 2*w = -136, 0*q + q = -2*w - 34. Let h = q + 67. What is the tens digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((f**(2\/5)\/f)\/f**(1\/4))**(-16\/7) assuming f is positive.\nAnswer: f**(68\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let f(n) = 11 - 7 - 17 - 4 + 3*n. Calculate f(8).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -23646219 * -0.7.\nAnswer: 16552353.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1185 is divided by 44?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Expand (6*f**3 - 6*f**3 + 7*f**3)*(-135 - 96 - 110).\nAnswer: -2387*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (1\/(-2) - 1) + (-12)\/(-8). Suppose 0*b + 12 = b + t, x = -3*t - 6. What is the common denominator of 89\/10 and (-126)\/(-261)*(2 - b\/4)?\nAnswer: 290","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(x) = 4 - 3*x + 0 + 5*x**2 - 2*x**2 + 2. Let d(g) = -g**2 + g - 1. Let y(k) = -2*d(k) - z(k). Let r(a) = 1. Calculate 6*r(w) + y(w).\nAnswer: -w**2 + w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -0.872 - -1. Let p = 0.13055 - y. Round p to 4 dps.\nAnswer: 0.0026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of -4, 13, 56, 137, 268, 461, 728, 1081?\n\"Answer: 2*k**3 + k**2 - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0, 0.2, -7680 in increasing order.\nAnswer: -7680, 0, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 32 + -65. Let q be k\/(-3) - 0\/2. Let g = 11 + q. Calculate the remainder when g is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -40.8 - -12.7. Let h = d - -28. Is h less than or equal to 48?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (1 - -8)*(15\/9 - (28 - 26)). Put s, 3, -2, 5, 4 in ascending order.\nAnswer: s, -2, 3, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 11 + (192\/(-3))\/8. Suppose 20*o = -s*o + 24311. List the prime factors of o.\nAnswer: 7, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(t) = 2*t**2 - t + 10. What is the remainder when 10 - (-17)\/(-1) - -88 is divided by i(-4)?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -1951222 or -1951197?\nAnswer: -1951222","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -964*x**2 + 634*x**2 + 331*x**2.\nAnswer: x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -1212012222 + -1201120?\nAnswer: -1220221112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_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 f be 27\/(-63)*(-5)\/((-40)\/(-28)). Let c(i) be the second derivative of -3\/5*i**5 - 1\/10*i**6 - 2*i**3 + 0 - 3\/2*i**2 - f*i**4 - 7*i. Factor c(r).\nAnswer: -3*(r + 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {t: 3, p: 1, v: 2, q: 6, u: 1}. Give prob of sequence vvq.\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-28)\/8*1*(-4)\/7. Solve w - r*w = 2 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 162 and 72265176?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-504)\/3591)\/(22\/209)?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -892.09715 and -0.4.\nAnswer: 356.83886","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of 105, 199, 293?\n\"Answer: 94*s + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let b(r) = -64*r**2. Let f(q) = -13*q**2. Let o be (-2)\/(-14)*-2*-7. Suppose o*u + 120 = 7*u. Let j(k) = u*f(k) - 5*b(k). Let s(w) = 3*w. Calculate j(s(m)).\nAnswer: 72*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from bjythhyybjyoythoy. Give prob of sequence hyy.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 191*s**4 - 137*s**3 - 542*s**2 - 803 wrt s?\nAnswer: 4584*s - 822","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 17 - 14. Let p be 10*-1*u\/(-2). Suppose 0 = 5*i - 15 - p. What is the units digit of i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -64 - -36. What is the common denominator of -41\/3 and w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -26297.2471 + 26299. Round p to 1 decimal place.\nAnswer: 1.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 1068 - 507. Let c = -15 - x. Let r = c + 1029. What is r rounded to the nearest 10?\nAnswer: 450","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(u) = 3*u**2 - 71*u - 2. Give t(0).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let s(x) = 7*x - 1. Let c be 1*-8 + 2 - (-3 - -3). Let o be (-21)\/28*(c + 1 + 1). Let n(t) = -10*t + 2*t + t - o*t + 1. Determine 5*n(g) + 7*s(g).\nAnswer: -g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 21996 and 2444.\nAnswer: 21996","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 7\/(-3)*10645\/14903.\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -245 + 260. Suppose -r*t + 101 = -12*t + 4*z, 91 = 3*t + 2*z. Solve 5*u = -p - p - t, 4*u = -20 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -35\/11374 and -115\/19841426.\nAnswer: 218255686","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 4\/(-10) + 24\/10. Suppose -2 = s*g + p, 0*g - 4*p - 8 = -3*g. Solve -2*j = -2 - g for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -13142*x + 17209*x = -187082 for x.\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -58 - -54. Let r(t) = t**3 + 4*t**2 - 5*t - 10. Let x be r(y). What is the highest common factor of 50 and x?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 5*p**3 + 3*p**2 - 52*p + 25289?\nAnswer: 15*p**2 + 6*p - 52","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 18*x - 0 - 17 - 1 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let i(f) be the third derivative of 2*f**2 + 0*f + 0*f**3 + 1\/24*f**4 + 0. What is the units digit of i(7)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0.17 * -0.53\nAnswer: -0.0901","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 27682782 a multiple of 2643?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -5*j**3*r**2 + 21*j**3*r*v + 43913*j**2*r**2 + j**2 + 54993*j*r**2*v + 1 wrt v.\nAnswer: 21*j**3*r + 54993*j*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -35 - (-1 + -1 + 10 - (8 + 3))?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 559 minutes before 10:34 PM?\nAnswer: 1:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Expand -3*n + 5*n + 0*n - n + 0 + 0 + (3 - 4 + 0)*(-n + 4*n - n) + 2*n + 1 - 1 - 158*n + 4 + 139*n + 135*n.\nAnswer: 117*n + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 48046?  (a) -3\/8  (b) -3  (c) -2  (d) -2\/15  (e) 5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -1.37 and 0.00382?\nAnswer: -0.0052334","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 102*17*164\/(-4879)*(-7)\/8?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*d - 20 = -3*d, -4*t + d + 12 = 0 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of -798, -1975, -3508, -5397, -7642, -10243?\n\"Answer: -178*i**2 - 643*i + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let q(g) = g**2 + 6*g - 4. Let t be q(-6). Let s = 15 + t. Let d = s + -8. Solve -1 = d*f - 4*f for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 v, 1 s, and 1 f when three letters picked without replacement from fsvvjs.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve 27*u - 2*w = -209 + 238, 0 = 2*u - u + 5*w + 4 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence wdww when four letters picked without replacement from {d: 5, w: 9}.\nAnswer: 15\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 20 (base 7) in base 3?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 373309 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 4\/((3108\/126)\/74).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*v = 54 + 1378. Suppose 143 = 12*b + v. Let n(q) = 2*q**2 - 5*q - 4. Calculate n(b).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-8)\/6)\/(5 + 100\/(-15))?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(w) = w - 1 - 1 + 2*w. Let j be ((-2)\/(0 + -2))\/(16\/64). Calculate r(j).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(d) = d - 3. Let b be n(4). Let j(c) = 2*c - 17. Let i(z) = -6*z + 50. Let f(v) = 6*i(v) + 17*j(v). Let p be f(6). Put p, b, -5 in descending order.\nAnswer: b, p, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(y) = -2*y**4 + 2*y**3 + 4*y**2 - 3*y. Let q(a) = a**4 - a**2 + a. Let h = 4 - 5. Let j(s) = h*u(s) - 3*q(s). Factor j(o).\nAnswer: -o**2*(o + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is one tenth of a litre in millilitres?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 91487 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of 1317, 4497, 9845, 17361?\n\"Answer: 1084*v**2 - 72*v + 305","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let b(i) = -2*i**3 + 4*i**2 + 2*i + 3. Let o be b(-3). Suppose 5*h - 15 = 0, 0*h = -5*y - 4*h + o. What is the remainder when 102 is divided by y?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(d) = -25*d**3 - 12*d**2 - 18*d - 48. Determine a(-3).\nAnswer: 573","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 190\/(-32) + 9\/(-17 + -127)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 6*(sqrt(405)*1*-3)\/(sqrt(9) - -2*(sqrt(9) + (sqrt(9) - sqrt(63)\/sqrt(7))))*-4.\nAnswer: 72*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Divide 229947633 by -76649211.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -3*p**4 + 2349*p**3 - p**2 + 38694 wrt p.\nAnswer: -72*p + 14094","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 0, 0.6, -139, 0.1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -391 = -m - 30. Let b = 354 - m. What is the third biggest value in 0, 1\/2, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 56 + 19*v + 5*v - 28 - 23 - 5.\nAnswer: 24*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 24 = 4*z - 0*z + b, -z = 4*b - 21. Suppose z*o + 5 = 5*k, 2*o - 3*k = -2 - 4. Calculate the highest common divisor of 2 and o.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 32930, 63423, 93916?\nAnswer: 124409","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let o(x) = -5*x - 30. Let w(v) be the second derivative of v**2\/2 - 12*v. Let z(d) = -o(d) + 6*w(d). What is the tens digit of z(10)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many milligrams are there in 138.2208 nanograms?\nAnswer: 0.0001382208","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 51 = j - 64. Does 5 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 49 is divided by 2 + -2 + -1 + 2 + 17.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -78?  (a) 4  (b) 2\/5  (c) -3\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7 = -z + 2*z. Let n(p) = 2*p - 14. Let f be n(15). Let x = f + -14. Let a(b) = 3*b + 10. Let m(u) = -u - 3. Give x*a(y) + z*m(y).\nAnswer: -y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Work out -4 * -64.\nAnswer: 256","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -121.9 - -123.3. Round f to 0 dps.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 343, 348, 355, 364, 375?\nAnswer: 388","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 199267\/42 + -4744. Let b be ((-135)\/(-35))\/((-3)\/6). Let v = k - b. What is the common denominator of 137\/12 and v?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 0*a**3 - 20*a**2 - 32*a**2 - 96*a**2 + 23*a**3.\nAnswer: 23*a**3 - 148*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 11 - 10.9. Which is bigger: g or -2?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 6, 2, -691776, -1 in ascending order.\nAnswer: -691776, -1, 2, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Round 3120000 to the nearest one million.\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((d\/(d**19*d))\/d)\/(d*d**28\/d) assuming d is positive.\nAnswer: d**(-48)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: 1\/2*(-21)\/(-21)\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (h**(-2\/5))**19*(h\/((h\/(h*(h\/(h\/(h*h**(-1)*h)))\/h)*h*h)\/h))**(-12\/19) assuming h is positive.\nAnswer: h**(-38\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -0.2254 - -1.1964. Let t = -0.029 - a. Which is smaller: t or 10?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -2*g**4 + 27*g**3 - 2*g - 36?\nAnswer: -24*g**2 + 162*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 1 take away -0.330993?\nAnswer: 1.330993","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let q(m) = 5*m + 37. Determine q(36).\nAnswer: 217","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*c + c = 5*j - 5, 5*c + 2*j + 19 = 0. Let k be (1 + c)\/2 - -5. Let o = k - 5. Is o <= 0.3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 2.62 + -5.82. Let t = 2.9 - 0.4. Let h = m + t. Do h and -1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 0.0584557 + -0.0587. What is l rounded to five dps?\nAnswer: -0.00024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -2, -1, 0.9, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 2109 - 1821. Solve 11*v - w = 83*v for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 38 a factor of 285764?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*c - c - 2*t = -3, -c + 4*t - 11 = 0 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 501559023.\nAnswer: 3, 7, 23883763","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-20*(-8)\/4200)\/((-390)\/(-1365)).\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*i = -12, f = -i + 15 + 15. What is the tens digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of 1581273, 3162546, 4743817, 6325086, 7906353, 9487618?\n\"Answer: -k**2 + 1581276*k - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (n**(1\/6)\/(n**(-12)*n))\/(n**3)**(-6) assuming n is positive.\nAnswer: n**(175\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 19 - 10. Let w = y - 9. Suppose w = -d - 5*c + 29, -2*d + c - 3*c + 18 = 0. What are the prime factors of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*s = 3*s. Let l = -6 - -4. What is the units digit of 11 + (s - (l - -3))?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -17 + 13. Put -2, m, 1 in decreasing order.\nAnswer: 1, -2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 506771197 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is -1011 (base 3) in base 4?\nAnswer: -133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let u(k) be the third derivative of -3*k**7\/70 + 3*k**5\/20 + 6*k**2. What is the third derivative of u(x) wrt x?\nAnswer: -216*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(h) = h**2 - h + 3. Suppose 3*a = 2*l - 3 - 1, -4*a - 3*l + 23 = 0. Let g = 1 + a. What is the units digit of z(g)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 14a9b3 (base 14) in base 7?\nAnswer: 6061413","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let u(o) = o. Let t(z) = 19*z**2 + 2. Let y(m) = -189*m**2 - 21. Let n(r) = 21*t(r) + 2*y(r). Determine n(u(b)).\nAnswer: 21*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 1271 and 5053?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 5 a factor of 107499?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let -968*r**5 - 390632*r**4 + 1792422*r**3 + 13570632*r**2 + 22558770*r + 11170224 = 0. What is r?\nAnswer: -408, -39\/22, -1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (u**1)**(-28) assuming u is positive.\nAnswer: u**(-28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is -57610 rounded to the nearest one thousand?\nAnswer: -58000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let x(c) = -30*c**3 + 361*c**2 - 231*c + 2665. Determine x(12).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let o(a) = -11*a**3 - 5*a**2 + 5*a + 5. Let c(j) be the first derivative of -3*j**4 - 2*j**3 + 3*j**2 + 6*j - 56. Calculate -5*c(m) + 6*o(m).\nAnswer: -6*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let o(y) = y**3 + 11*y**2 + 9*y - 7. Let g = -14 + 4. Let z be o(g). Solve 2*n + z*n + 10 = 0 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -5, -2, 2, -1, 5, -111 in increasing order.\nAnswer: -111, -5, -2, -1, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve -10 = 5*o + 4*m, -4 = 2*o + 31*m - 30*m for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 86725660?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 1462 and 27994376?\nAnswer: 1462","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let s(d) = 216*d - 2094. Let u be s(10). Solve u*m + 6 = 65*m for m.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: -32571 (base 8) to base 5\nAnswer: -414224","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 95395186*g**2 + 105822822 wrt g.\nAnswer: 190790372*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 59\/(-5) - (-5 - 7) - (-38)\/10. Solve k = -y*m - 21, m + 24 = -5*k - 5 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify p**(-2)*p*(p*p**(-4)\/p)\/p*p*p**(1\/5)\/(p\/(p\/(p*p**7*p)))*(p\/p**(-1\/3)*p*p*p)**19\/(p**(1\/9)*p\/p**5) assuming p is positive.\nAnswer: p**(3259\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*t + 17*l - 90 = 0, -5*l + 149 = t + 147 for t.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 75 + ((-3)\/1)\/3. Suppose 0 = -2*b - f + 2*f + 27, 0 = 4*b + 2*f - r. What is the highest common factor of 176 and b?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 22217831 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 3 - (-1 - -4) - (2 + -12).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*p**2\/9 - 16550*p\/3 + 944072\/9.\nAnswer: -2*(p - 19)*(p + 24844)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*i - 0 - 4, 0 = -5*m + 2*i - 26. Let f(u) = -u**2 - 8*u - 8. Determine f(m).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 21 divide 177?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 394 minutes after 11:16 AM?\nAnswer: 5:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*c**2 - 38*c**3 - 41*c**3 + 70*c**3)*(1 - 1 - c)*(-2*c + 3 - 3).\nAnswer: -18*c**5 + 4*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of -118, -113, -102, -85, -62, -33, 2?\n\"Answer: 3*l**2 - 4*l - 117","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 133214451?\nAnswer: 3, 2843, 15619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Express -3*u**3 + 2 - 133*u**4 + 24453*u**2 - 24489*u**2 + 135*u**4 in the form s*u**2 + l*u**3 + c*u + t + b*u**4 and give b.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1054128 is divided by 2071?\nAnswer: 2060","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Put -4, 6, 114\/7 in descending order.\nAnswer: 114\/7, 6, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*q + 13 + 3. Solve 5*s - 5*i = -1 - q, i = -s - 9 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: -348 (base 16) to base 8\nAnswer: -1510","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let s(t) = -2*t - 15. Let h be s(-15). Solve -2*f + 4*o = -12, -f + 4*f - 5*o - h = 0 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 7.36 * 3721\nAnswer: 27386.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 221*o**2*u**3 + 6*o**2*u - 1673*o**2 + 363*o*u**3 - 2*u**3 - 2*u**2 - 31 wrt u?\nAnswer: 1326*o**2 + 2178*o - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*d = -2*d + 20. Calculate the least common multiple of d and 5.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 111688 and 2011598?\nAnswer: 1214","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*l**4 + 330*l**3 + 4329*l**2 - 38502*l.\nAnswer: 3*l*(l - 6)*(l + 23)*(l + 93)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1209493.\nAnswer: 37, 97, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (5*(0 + sqrt(704))**2*-1 - -4*((sqrt(11) + 1)**2*3 + -2))*-5.\nAnswer: -120*sqrt(11) + 16920","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 30*n**2*u + 10901*n*u - 18756982*u with respect to n.\nAnswer: 60*n*u + 10901*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is -904.4483 rounded to the nearest ten?\nAnswer: -900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -21 - -14. Suppose t - 35 = 7. Let u = t - d. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 1639017 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-4)\/(-10) - (-604)\/(-10). What are the prime factors of p\/(-4)*(-6)\/(-10)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -50 = -3*y + 10. Suppose 0 = -3*i + 12, -y = -4*o - 3*i. List the prime factors of 40\/4 + 1*o.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -3 + 5. Suppose -i - 4 = -2*j. What are the prime factors of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(j) = -23*j**2 - 18*j - 21. Let x be y(17). Which is the second smallest value?  (a) -1  (b) x  (c) -3\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 1, 34, -3\/7?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 51 a factor of 181?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, 0.7, -6227\/9 in increasing order.\nAnswer: -6227\/9, -5, 0.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 8 - 13. Let f = -324099.5 - -324099. Which is the fourth biggest value?  (a) f  (b) 9\/8  (c) v  (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5*((sqrt(405) - (2*sqrt(405)*-3)**2) + sqrt(405) + (sqrt(405) - -1*((-3 + sqrt(405))**2 - sqrt(405))) + sqrt(405)).\nAnswer: 135*sqrt(5) + 70830","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 8 - 2. Let r be -1 - -2 - (-1 + -2). Let p be r\/u - 1152012\/18. What is p rounded to the nearest 10000?\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth smallest value in -2\/7, -0.5, -0.1, 65, 5, 4, 2?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:50 PM and 5:19 AM?\nAnswer: 689","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of -9*(-3)\/(-9) - (-337)\/(2 + -1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((o\/o**(-9))\/o)\/(o**(-1\/13)*o))\/((o*o**(-13))\/o*o*o**(-4\/5)) assuming o is positive.\nAnswer: o**(1357\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 392651 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 28343 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3003?\nAnswer: 3, 7, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (944\/(-10))\/(36\/(-90)). Let q = f + -34. What is the third derivative of -50*c**2 - c**3 - 202*c**4 + q*c**4 - 13*c**6 wrt c?\nAnswer: -1560*c**3 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of 12218, 48831, 109844, 195257, 305070, 439283?\n\"Answer: 12200*z**2 + 13*z + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*a - 4*r = -4, 0 = 5*a - r - r - 26. Suppose -a + 2 = -y. Suppose -y*d = -7 - 3. Solve -5*p - d - 20 = 0 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 878\/92 - (-5)\/(-10). Let s = k - -655\/276. Let m = 217\/10 + -1039\/45. Find the common denominator of s and m.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*a + 3*i + 6045 = 0, -a + 3*i = -1987 - 28. Let w be a\/(-45) - 4\/18. Let u be (-1)\/3 - 24\/w. What is the third biggest value in -1\/5, u, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -1492*a**4 - 25*a - a**3 + 1485*a**4 + 40 + 24*a in the form o + j*a**2 + q*a + l*a**4 + m*a**3 and give l.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*o - 5 = -11. Let r be (-2*o\/(-5))\/(6\/2445). Let j = r - 116. What is j rounded to the nearest one hundred?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 8467563023 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 10\/112*(-118)\/105. Let m be 1*2\/(-49*8). Let t = m - c. What is the third biggest value in t, 0, 0.5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 34 is divided by (-6)\/(-15)*175\/10.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(s) = s**3 + 4*s**2 - 4*s + 6. Let m be g(-5). Let l(z) = z**2 + 1. Let d be l(m). What is the derivative of 2*t**3 - 2 - 9*t**d + 9*t**2 wrt t?\nAnswer: 6*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 10*d = 13 - 23 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 375746 to the nearest integer?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2 + (5 + (sqrt(128) - 1*sqrt(128)) + 5)**2.\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Factor -116\/3*q + 240 + 4\/3*q**2.\nAnswer: 4*(q - 20)*(q - 9)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 2\/(-6) + (-3360)\/(-36). Let i = -44 - 7. Let w = i + h. What is the units digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -22 - 3*h**3 + 68 + 32 to the form c + v*h**3 + r*h + x*h**2 and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 19*y + 12*y - 30*y.\nAnswer: y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 10828279*z**3 - 94538468*z**2?\nAnswer: 64969674","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of -207, 7420, 20123, 37896, 60733, 88628, 121575, 159568?\n\"Answer: -i**3 + 2544*i**2 + 2*i - 2752","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (5*b - 8*b - 9*b)*(-9*b**2 - b**2 + 5*b**2).\nAnswer: 60*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let v(c) = -9*c. Let b(l) = -63*l**2. Determine b(v(u)).\nAnswer: -5103*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: -292 (base 10) to base 4\nAnswer: -10210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -25*z - 417*z - 753 = 24*z + 7169 for z.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2174 + 2969 - 1653 = -349*k for k.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 20\/83, 2, -0.021?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 1 - 2 - (-2 + -2). Find the common denominator of 2\/z + (-3126)\/(-252) + -5 and -1\/6.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is bcf - e9e?\nAnswer: -2cf","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -h - 45 + 170. Suppose 5*m = -n + 107, -5*n - h = -2*m - 3*m. Calculate the highest common factor of m and 88.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (6578 + 172*n + 94*n - 6578)*(7*n - 8*n + 18*n)*(1 + 1 - 3).\nAnswer: -4522*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let x(j) = -j**2 - 10*j - 4. Let r(t) = t**3 + 6*t**2 + 6*t + 1. What is the remainder when x(-3) is divided by r(-4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(h) = h**2 - 8*h + 2. Let g be b(7). Let d(a) = 3 + 2*a - 1 - 5*a. Let f be d(2). Sort g, 0, f.\nAnswer: g, f, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 0 - -10 - 8 - -5?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3520828.\nAnswer: 2, 541, 1627","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 18502778?\nAnswer: 2, 7, 1321627","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -34\/1101 and -46\/21.\nAnswer: 7707","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let z(c) = 2*c**2 + 51*c + 35. Let u be z(-25). Solve -b = 4*b + u for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 4\/5 of a litre?\nAnswer: 800","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"}
{"text":"Question: Solve 486*c - 5902 = 32*c for c.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 1687834?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve -257*d + 6624 + 686 = 173*d for d.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 32 and 31 - (2 - 7 - 0)?\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (m**1)**(-10)\/(m**(2\/5))**(2\/65) assuming m is positive.\nAnswer: m**(-3254\/325)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let i(h) = h**3 + 4*h**2 + 9*h - 8. What is i(1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -255*l + 522*l - 31980 = 1866*l for l.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -2*f**2 + 284 - 284 - 3*f**2 to the form v*f**2 + b*f + j and give v.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*w - 7 = 1. Solve -l - w = 3 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {f: 3, q: 5, j: 1, n: 3, r: 3}. What is prob of picking 1 q and 1 r?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*f + 11 = 32. Let j(w) = -1 + 3*w**2 - 7*w**2 + 3*w**2 - 8*w. Determine j(f).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -714*f + 180*f + 188*f + 187*f + 181*f.\nAnswer: 22*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: 696\/168 - 1\/7\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -7*p + 22 - 23 + 1 - p.\nAnswer: -8*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 0.002343 - 0.00286541. What is g rounded to four decimal places?\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(y) = y**3 - 240*y**2 - 746*y + 4131. Give i(243).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -4463 - -4484 - (18 + 0).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -5060 + 5060.0003157. What is i rounded to five dps?\nAnswer: 0.00032","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -2 by -43894066.\nAnswer: 1\/21947033","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 p when three letters picked without replacement from ppfpfpffpppppppfpp?\nAnswer: 143\/408","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -12 + -5 - -12 - -21.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let n(g) = g**3 + 4*g**2 - 9*g - 13. Let h be n(-5). Solve -3*x = -5*w - 3, 4*x = -7*w + 10*w - h for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 5716063 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 3775\/(-28388)*-47*72\/10?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is -153 at most as big as -153?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let i(l) = -1957*l**2 + 84 - 21 - 38. Let b be i(-5). What is b rounded to the nearest one thousand?\nAnswer: -49000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (3 - 3 - 4)*(-3 + 11 + 15)*(-3*j**4 + j**4 + 0*j**4) in the form d*j**2 + r*j**4 + l*j**3 + y*j + f and give r.\nAnswer: 184","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let g(s) = s**3 - 12*s**2 + 10*s + 0*s**3 + 4 + 10. Let a be g(11). Solve 0 = -a*o + 2*i - 9, 20 + 8 = -5*o - i for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -6.3 - -1.3. Let m = -3 - s. Let c = -2.8 + 3. What is the closest to 0.1 in c, m, 0.4?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 12 = 3*l, 0 = 2*w + 9257*l - 9262*l + 28 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:14 AM and 3:52 AM?\nAnswer: 38","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let s(n) = -n**2 + 27*n - 33. Let a be s(22). What is the highest common divisor of a and 44?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 110105.43076 to the nearest ten thousand.\nAnswer: 110000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -123*s + 41*s - 6 + 41*s + 38*s.\nAnswer: -3*s - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, 23, -2 in increasing order.\nAnswer: -5, -2, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 799285 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let j(i) be the second derivative of 7*i**3\/6 - 3*i. Give j(-1).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of 19715, 19386, 18495, 16760, 13899, 9630, 3671, -4260?\n\"Answer: -47*w**3 + w**2 - 3*w + 19764","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*q**5 + 360*q**4 - 52932*q**3 + 605512*q**2 + 31438800*q + 30780000 = 0.\nAnswer: -171, -18, -1, 50","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Divide -408622848 by 51077856.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 39 or -2?\nAnswer: 39","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -54*o**2 + 21*o + 6 + 61*o**2 - 20*o to the form g*o + i + t*o**2 and give t.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -57\/1780 and 109\/14?\nAnswer: 12460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (r**2 + 0*r**2 + 11 + 0*r**2)*(-53*r - 8*r**2 + 53*r) to the form v*r**2 + w*r + o*r**4 + k*r**3 + t and give v.\nAnswer: -88","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is -6 + 2 + -10 + (6 - 4) + 3?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 0.010396 and -1.7035.\nAnswer: -0.017709586","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 213*j*n**5 + 114*j*n**3 - 2*j*n**2 - 9*j*n - 58926 wrt n?\nAnswer: 4260*j*n**3 + 684*j*n - 4*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 3 and -68.004.\nAnswer: -204.012","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Expand 4*r + 3*r + r + (r - 8*r - 25*r)*(2 - 1 + 2).\nAnswer: -88*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 6970118633 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -9 - -16. Suppose -8*f = -a*f - 124. What is the units digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(w) = 2. Let d(c) = c - 1214. What is d(a) - 2*x(a)?\nAnswer: a - 1218","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -0.05099963 + 0.051. What is g rounded to 7 dps?\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*n - 10 = -7*n. Suppose 2*d + 0*d + 14 = z, 0 = -z + n. Let x = -49\/6 - d. Find the common denominator of x and -9\/4.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 4673226 is divided by 73019.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*n - n + 108. Let h be 352\/n - (-4)\/(-18). Let x = 2 - h. What is the tens digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 4*w**2 - 7*w**2 + 7*w**3 - 3*w**2 + 7*w**2 to the form b + t*w**3 + g*w + q*w**2 and give t.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*j + 2*j**2 + 2*j)*(4*j**2 - 2*j**2 - j**2) + 5*j**4 - 4*j**4 - 2*j**4 + (2*j**3 - 2*j + 2*j)*(4 - j - 4).\nAnswer: -j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 0 + -7. Let a = -10 - n. Sort a, -4\/9, 1\/2 in decreasing order.\nAnswer: 1\/2, -4\/9, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 3554?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -13 = 14*r + 43. Let a be (-8)\/6*(-6)\/4. Let c(i) = -i - 2*i**3 + 5*i**a + 4*i + 5 + 3*i**3. Calculate c(r).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 54720 by 36.\nAnswer: 1520","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let m(b) = 3*b**3 + 79*b**2 - 136*b - 2228. Give m(-27).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -29751 + 29770. Solve 4*j + w = p, 4*p + 3*j + 0*j = -38 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*i - 4 + 4)*(-i**3 + 9*i**3 - 3*i**3) - 8*i**4 + 11*i - 11*i.\nAnswer: -18*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Express -4*o + 4*o - 3*o**2 - 4*o**2 + 3*o**2 + 2*o**2 + (2*o**2 + 0*o**2 + 0*o**2)*(-2 + 2 - 9) in the form m + u*o + w*o**2 and give w.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let r(f) = 109*f + 125. What is the tens digit of r(8)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1445 divided by 5.\nAnswer: -289","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of 506189, 506190, 506191, 506192?\n\"Answer: z + 506188","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: 0.08 * 77.502\nAnswer: 6.20016","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -2\/29  (b) 1  (c) 73\/4  (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -13001 + -3?\nAnswer: -13010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let x(m) = m**3 - 16*m**2 + 9*m + 105. Let j be x(15). Let o = -215 + 320. Calculate the highest common factor of o and j.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 2.7 - 3. Let g(v) = v**3 - 2*v**2 - 7*v. Let d be g(4). Suppose -24 = 4*l + d*a, -9 = -2*l + 2*a - 1. What is the closest to l in -0.2, b, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -6335552*u + 12911757 with respect to u.\nAnswer: -6335552","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 315 is divided by 62.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is (-6)\/(-81)*(60\/(-5))\/(-2)?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2*((-2*sqrt(28)*-6)\/((sqrt(48)*-2)\/sqrt(12)) + 4 + 1*(3 + sqrt(7) + 2))**2.\nAnswer: -180*sqrt(7) + 512","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Round 319377100 to the nearest 100000.\nAnswer: 319400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let q(d) = -290*d - 12. Let l be q(-5). Let g = 4611 - l. Suppose -4*m = 5*f - g, -6*f + 5*f - 2394 = -3*m. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -3 by 11630770.\nAnswer: -3\/11630770","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2 + v - 2)*((v - v - 2*v)*(3 + 3*v - 3) + (0*v + 2*v + 0*v)*(0 + 0 + 2*v) + 11*v**2 - 9*v**2 + 6*v**2).\nAnswer: 6*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 33842512 and 238.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 211089\/8 + -26386. Find q such that 0 - 9\/8*q**2 + 0*q - 9\/8*q**3 + 1\/8*q**4 + z*q**5 = 0.\nAnswer: -3, -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(q) = q**2 - 3*q - 3. Let z = 0 + 7. Let g(m) = 10 - 4 - z - m. Determine c(r) - 3*g(r).\nAnswer: r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 27.32 + 0.68. Let l = i + -27.66. Let o = l - -0.06. Sort -13, o, -2\/13 in ascending order.\nAnswer: -13, -2\/13, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(w) = 1362*w**2. Let g(u) = 3263*u. Determine j(g(r)).\nAnswer: 14501444178*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 0.3 and -0.1125.\nAnswer: -0.03375","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*v + 2*r + 105 = 0, 0*r - 2*r = 4*v - 66. Let y be -2 + (21\/14)\/(9\/696). What is the highest common factor of v and y?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1504508 is divided by 14465.\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: 97674 (base 11) to base 13\nAnswer: 4c77b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 104146289869 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 210963344 a multiple of 592?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 12311 is divided by 977?\nAnswer: 587","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Express 64*d**3 - 58532 + 58532 + (1 - 2 - 1)*(5*d**3 - 5*d**3 - d**3) in the form r*d**2 + v*d**3 + b + c*d and give v.\nAnswer: 66","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (2\/(-20))\/((-2)\/((-24)\/3))?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let i(z) be the second derivative of -2\/9*z**2 + 0 + 2*z - 1\/9*z**3 - 1\/54*z**4. What is f in i(f) = 0?\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(w) = 3*w - 52. Let h be x(19). Let v be -100 - (-5)\/h*-2. Let l be (-2686)\/v + 2\/3. Solve 5*n - 7 + l = 0 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 600 (base 7) to base 14\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 48 - 46. Suppose -2*v + 5*v + 9 = 0, 3*b = -i*v - 6. What is the third biggest value in b, -2\/25, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 15 divide 2758?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 2847 and 65?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let m(b) be the second derivative of -1\/12*b**4 + 0*b**2 + 2*b + 0 + 0*b**3. Let p(t) be the third derivative of t**4\/12 + t**2 - 13*t. Calculate p(m(v)).\nAnswer: -2*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: 23a9b (base 12) to base 7\nAnswer: 260366","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let j be -6 + 7 - 15\/(-3). Let y be 16\/12 + 4\/j. Suppose 0 = y*n - 25 + 1. Does 3 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(u) be the third derivative of -u**6\/120 - u**5\/30 + u**4\/12 + 5*u**3\/6 + 149*u**2 - 21*u. Give w(-3).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(r) = r**3 + 6*r**2 - 8*r - 3. Let i be c(-7). Put 0, i, -4 in ascending order.\nAnswer: -4, 0, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 3.99 + 1.01. Put 0.2, a, 6\/23 in descending order.\nAnswer: a, 6\/23, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 c and 1 u when two letters picked without replacement from bucubc?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -11*o - o**4 + o**4 + 5*o + o**2 + 3*o**4 to the form z + y*o**3 + l*o + w*o**2 + g*o**4 and give w.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3914*o - 1984*o = 1988*o + 6728 for o.\nAnswer: -116","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is one tenth of a tonne in grams?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let m(l) = -173*l - 18659. Calculate m(-106).\nAnswer: -321","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 591 minutes after 12:59 AM?\nAnswer: 10:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve -18*b + 8 = -26*b for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 1524 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 m(r) = -r**2 + 5*r + 10. Let g(y) = -2*y**2 + 4*y + 11. Let p(l) = -2*g(l) + 3*m(l). Let o be -14*((-6)\/(-4) - 1). Is 4 a factor of p(o)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (h\/(h**(5\/2)*h*h))**(-23\/2)*(h\/h**(-3\/7))\/(h*h\/h**2) assuming h is positive.\nAnswer: h**(1167\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-3)\/(-27)*(1*4 - 1).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -q = -j + 1790, 0 = -12*j + 7*j + q + 8942. What is j rounded to the nearest one hundred?\nAnswer: 1800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 11110111110 (base 2) in base 7?\nAnswer: 5531","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 66 and 1782.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: (0\/(-3))\/((-1)\/(-1)*-3)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify w**(-8)\/w**(-5\/3)*w*w*w**8*w*w**(-14)*w assuming w is positive.\nAnswer: w**(-25\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: 18*0.33\nAnswer: 5.94","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((i\/((((i*i**(4\/9)*i)\/i*i)\/i)\/i))\/(i*i**(-9)*i*i))**36\/(i**(-1\/2)\/(i**0\/i)*(i**(2\/3))**(-34)) assuming i is positive.\nAnswer: i**(1549\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 652289019.\nAnswer: 3, 19, 67, 170801","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of -560436, -1121016, -1681598, -2242182?\n\"Answer: -c**2 - 560577*c + 142","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 1086247 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*p = -0*p. Suppose -21*o + 16*o + 40 = p. Let b(g) = g**2 - 4*g - 9. Is b(o) a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(d) = -2*d - 38. Let r be t(-23). Solve 4*h + 3*f - 12 = 0, -2*f + 0*f = h - r for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be -7*6\/8*30\/105. What is the nearest to f in 1\/3, 3, 0.1, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*l + 1919 = -1669. What are the prime factors of l\/(-10) + (-32)\/(-5) + -6?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 61 divide 488?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 1.17537639 - -191?\nAnswer: 192.17537639","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -47*g - 16*g + 585987 + 226839 = 0. What is the tens digit of g?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*k + 3*k + 4*j + 2, -4*j - 6 = 3*k. Let p = 8289 + -66307\/8. What is the common denominator of 177\/30*k\/(-4) and p?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 74 - 36. Let a = -17 + x. List the prime factors of a.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 717 by -5.\nAnswer: -717\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(48)\/(-1*sqrt(8)) - (-1*sqrt(42) - sqrt(42))\/sqrt(7))\/(-3*(3*sqrt(98) + sqrt(98))*5).\nAnswer: -sqrt(3)\/420","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (d**21)**(-16) assuming d is positive.\nAnswer: d**(-336)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 48 and 36.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let n(a) = -a**3 + 7*a**2 - 7*a + 8. Let k = 40 + -34. Let t be n(k). Factor -9*j**2 + j**3 - 5*j + t*j**3 + 7*j + 4*j.\nAnswer: 3*j*(j - 2)*(j - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*c = 2*c + 2*y + 398, 3*c - 4*y - 388 = 0. What is the highest common factor of c and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -32591627872009\/270 + 120709528679. Let z = j + 204180. What is the common denominator of 173\/30 and z?\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -t + j + 2587 - 2585 = 0, 0 = -2*t + j + 1 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -2 or -64\/43?\nAnswer: -64\/43","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Add together -0.165 and -0.06192298.\nAnswer: -0.22692298","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 597 minutes before 3:23 PM?\nAnswer: 5:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 6660 a factor of 330595740?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -350 - -790. Is m a multiple of 72?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 81\/4 of a century in months?\nAnswer: 24300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -552*q + 5*x - 35 = -547*q, 4*x - 23 = 3*q for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 0.3  (b) -0.1  (c) -9  (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 135 + -2353?\nAnswer: -2215","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 60887?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 83989 to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 47929, 47930, 47935, 47944, 47957?\nAnswer: 47974","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let q(n) = 8. Let r(s) = s - 8. Give 6*q(h) + 7*r(h).\nAnswer: 7*h - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 182 bigger than 182?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 32687 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 24.6 + -25. Which is the closest to 1?  (a) -4  (b) 3  (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*w - w + w)*(-4 + 2 + 1) + 429 - 429 + 49*w.\nAnswer: 46*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 34 - 19. Let i = b - 11. Suppose 3*v - 4 = i*v + 4*a, a + 16 = -4*v. Let x(h) = -h**2 - 4*h + 5. Calculate x(v).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 216.4512374 to the nearest 100.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 135613 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -10769223 - -0.7251.\nAnswer: -10769222.2749","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let z(w) = w**3 - 6*w**2 + 6*w - 3. Let s be z(5). Suppose -s*m + 12 = -0. Suppose -3*y + 0*y - 2 = -4*k, -4*y + m = -k. What are the prime factors of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0000006992909 to 7 dps.\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (m\/((m**5\/m)\/m))\/m*m**(-1)*m**6\/((m**5*m)\/m*m)*(m**(-2\/13)*m**(6\/5)*m)**(-1\/12) assuming m is positive.\nAnswer: m**(-3253\/780)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*x + 3*x + 2*x + (x - 3*x + 0*x)*(-2 + 2 - 2) + 21*x - 4*x + 6*x - 2*x - 2*x + 8*x)*(2 - 4 + 1).\nAnswer: -33*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 5 - 5b874?\nAnswer: -5b86f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Work out 55 + -0.004.\nAnswer: 54.996","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 85062276581 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 10453?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from mjijzmyjmy. What is prob of sequence im?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4*p - 7*p + 14*p)*(377*p**2 + 89*p - 89*p).\nAnswer: 4147*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose k = 67 - 22. Suppose -q = -4*q + k. Is q*(4 - (-4 + 3)) a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 5955935 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let m(f) = -f**2 + 23*f - 24. Let s be m(19). What is the highest common divisor of 4316 and s?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-10 - -5) + 4 - 4.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-8)\/(-3)*48\/(-16). Let p be m\/10*(-680)\/16. Suppose 0 = j - 3*j + p. Solve 0 = z + 1, 4*l + 5*z = -j for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(s) = 15*s - 89. Let m = 153 - 150. Let a(i) = 8*i - 45. Let h(p) = m*b(p) - 5*a(p). Find the first derivative of h(k) wrt k.\nAnswer: 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between -0.068005 and -11?\nAnswer: 10.931995","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: -970 divided by 10\nAnswer: -97","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -61\/1692 and (23\/(-161) - 4\/((-71064)\/74225)) + -4?\nAnswer: 5076","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 3*(8\/(-6) - -2). Let t(d) be the second derivative of 0*d**5 + 0*d**4 + d**o + 0 - d + 0*d**3 + 1\/15*d**6. What is the derivative of t(k) wrt k?\nAnswer: 8*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 24 a factor of 2\/5 - (-238)\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 405?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 7846202 divided by -206479?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 154 = 5*w - 4*x + 2*x, 2*w + x - 58 = 0. Let b = w + -22. Suppose b*h = 12*h + 24. Let s(p) = p**3 + 6*p**2 - 5. What is s(h)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1.5276078*-2.\nAnswer: 3.0552156","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.000016474869 rounded to seven dps?\nAnswer: 0.0000165","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -9*s**3 - 14*s**2 + 720954 + 14*s**2 - 720954.\nAnswer: -9*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -75 - -80. Let g be (7\/i + 0)\/((-10)\/(-50)). Which is the nearest to -0.4?  (a) g  (b) -2\/7  (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 117, 25, -135, -369, -683, -1083, -1575, -2165?\nAnswer: -2859","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Work out 18.87 - 3.\nAnswer: 15.87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*p - 3*q + q - 30, 3*p = -2*q + 30. Let z = -376 + 387. Calculate the smallest common multiple of p and z.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -695 - 2*s**2 + 344 + 351.\nAnswer: -2*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let b(m) = 66*m + 7. Let q be b(9). Suppose 2*u - 195 = -q. Let c = 352 + u. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be ((-24)\/3)\/(2*-1). Let g(y) = 3*y**2 - m + 4. Let n(i) be the second derivative of i**3\/3 - 2*i. Calculate n(g(r)).\nAnswer: 6*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 n and 1 q when two letters picked without replacement from {q: 2, n: 1, p: 5, g: 1}?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Does 13 divide 130702?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-170)\/374)\/((-105)\/(-630)*10\/2).\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(121) - (5*sqrt(121)*-2 - sqrt(121) - sqrt(121)))\/sqrt(11).\nAnswer: 13*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -95\/416 and -41\/20.\nAnswer: 2080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve -44*z - 4*v + 965 = -7*v, 52*z - 109 = 47*z + v for z.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 14656825.08 + -3?\nAnswer: 14656822.08","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 74*(111\/(-180) - 2\/(-3)) and ((-4)\/24)\/(8\/(-2))*(-31395)\/920.\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 1319912?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*l + 4*x = 1000008, -4*x - 878062 = -4*l - 78070. What is l rounded to the nearest one million?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2\/3*(-1 + (-119)\/(-17))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4*r**4 - 12592*r**3 + 9947608*r**2 - 59346096*r + 88849476.\nAnswer: 4*(r - 1571)**2*(r - 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is -5304169 (base 10) in base 16?\nAnswer: -50ef69","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2201 - 7804*a - 4519 + 2318.\nAnswer: -7804*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 168619917?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 5556 and 18.\nAnswer: 16668","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 2788 to the power of 1\/4, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: 17380249 (base 10) to base 2\nAnswer: 1000010010011001110011001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*n = -3*c - 16, -n + 2*n - 27 = -5*c. Suppose 3*s + n*x - 1133 = 2*x, -x - 1851 = -5*s. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1\/9 in -19, -1, 1\/2, 2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let f(w) = 6*w**2 - 432*w + 7895. Calculate f(38).\nAnswer: 143","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let m(c) = -c**2 + 4*c + 1. Let h be m(4). Suppose 86*n = 91*n - 10. Solve n*i = i - h for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of (1 - -5)\/((24\/7)\/12) and 3\/3 - (-1 - 7)?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1300041 is divided by 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 9\/(-21) + (-4)\/(-42). Which is smaller: u or -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.00816304418 rounded to 3 dps?\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -0.1, -333, -4\/5?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -11*d**2 - 32*d**2 - 16*d**2.\nAnswer: -59*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 387 a factor of 11178808?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -88543569*z**5 + 338*z**2 + 15659.\nAnswer: -5312614140*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1093517 is divided by 20.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -47.6 - -47.9. What is the nearest to 2\/7 in 5, -2, x, -2\/7?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4*p + 2*p**2 - 4*p)*(10*p**3 - 2*p - p - 9*p**3).\nAnswer: 2*p**5 - 6*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -114 + 128. Let n = 464 + -387. What is the highest common divisor of b and n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 330 and 6780?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of (-426)\/4*(350\/(-21) + 8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(a) = -16*a**2 + 3. Let h(r) = 14*r**2 - 11*r + 11. Let n(c) = 5*c**2 - 4*c + 4. Let u(s) = 4*h(s) - 11*n(s). Calculate u(l(b)).\nAnswer: 256*b**4 - 96*b**2 + 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 173188, 348817, 524446, 700075?\nAnswer: 875704","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 2592?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 40 is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-4 - -3)\/2*(-260)\/2. Let r(l) = -113*l + w*l + 46*l. Determine r(9).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (504\/(-936))\/(21\/18).\nAnswer: -6\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let -x**4\/2 + 85*x**3\/2 - 59*x**2 - 1992*x = 0. What is x?\nAnswer: -6, 0, 8, 83","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (1 + 2)*(14 + -5)\/63. Sort m, -3, -5, 0.3.\nAnswer: -5, -3, 0.3, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 w and 2 t when three letters picked without replacement from wwwtttwttwwwtwtw.\nAnswer: 27\/80","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1, 1\/5, 91, -0.08.\nAnswer: -0.08, 1\/5, 1, 91","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 12009 + -72055\/6. Which is the second smallest value?  (a) p  (b) 5\/12  (c) -5  (d) -1\/4  (e) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1131*q**3 + 521*q**3 + 557*q**3.\nAnswer: -53*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {n: 2, g: 2, c: 6, p: 1}. What is prob of sequence pgnn?\nAnswer: 1\/1980","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 1 + 7*o**2 - 5*o + 15*o**2 + 17*o - 24*o**2 with respect to o.\nAnswer: -4*o + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 315.325 + -299. What is x rounded to 1 dp?\nAnswer: 16.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is (86\/(-6))\/((-15)\/45) a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -3*j - 33 - 19*j**2 + 34 - 2*j + 17*j**2 - j**3 - 4*j**4 - 2*j**3 as c*j**3 + u + g*j**4 + v*j + p*j**2 and give v.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -354*m**3 + 762941*m**2 - 762941*m**2 - 42*m.\nAnswer: -354*m**3 - 42*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let p(s) = 86*s - 1. Is p(3) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -3\/2, 1\/9, 36\/83 in decreasing order.\nAnswer: 36\/83, 1\/9, -3\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 43*p - 79*p + 34*p - 10*p**3 - 11*p**4 - 3*p**2 - 1 to x*p**4 + z + v*p**3 + g*p + j*p**2 and give g.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of (-15)\/(-2)*(-24)\/(-15) and 20.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6 + 46 = 4*g. Suppose g = h + h. Suppose 3*n - 292 = -r, n - h*r + 102 = 2*n. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 0.24 + -34.24. Let g = o - -33.9999947. What is g rounded to 6 decimal places?\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*x = -3 - 1. Let r = x + 4. Solve -8*j + 25 = 5*a - 3*j, -3*a + r*j = 15 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*k + 16 = 0, 4*k - 4 = r + 3*k for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 4 n when four letters picked without replacement from {g: 7, n: 5}.\nAnswer: 1\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 112\/12 - 2\/6. Suppose t - 4 = 5*g. Let y be 2*2*1\/20. What is the third smallest value in 1\/7, y, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 97.4397 millilitres in litres?\nAnswer: 0.0974397","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let a(q) = 3*q + 11. Let x(l) = -8*l - 32. Calculate -17*a(v) - 6*x(v).\nAnswer: -3*v + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 8 - 31614?\nAnswer: -31607","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0036440043 rounded to six dps?\nAnswer: -0.003644","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-4)\/6 - -1*(-6)\/(-9). Suppose n = -h*n + 6. Let l be 3 + (0 + 1)*(5 - n). Solve -l*u = -u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2414*w**3 - 3951*w**2 + 1068*w**3 + 3951*w**2.\nAnswer: -1346*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth smallest value?  (a) 2\/15  (b) 2.6  (c) -1\/10  (d) 0.2  (e) 0.2446  (f) 38\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of 15654, 15693, 15780, 15933, 16170?\n\"Answer: 3*p**3 + 6*p**2 + 15645","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence elee when four letters picked without replacement from {e: 3, l: 6, v: 1, h: 2, z: 1}.\nAnswer: 3\/1430","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 322419 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -0.1 - 4.9. Let p be (-5 + 4)*(0 - -1). Let k be -3 - p - (-6)\/3. What is the nearest to k in -1\/4, u, 4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 24 + -11. Is 14 at most as big as c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 l, 2 e, and 1 s when four letters picked without replacement from ssstttteelltstttsee.\nAnswer: 5\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: 2 (base 14) to base 6\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*s + 81 = -114. Suppose -20 = -4*d, 5*a + d - s - 1 = 0. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((l\/(l\/(l*l**(2\/21))))\/(l*l**(-3\/8)))**31 assuming l is positive.\nAnswer: l**(2449\/168)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 40 minutes before 3:06 PM?\nAnswer: 2:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose a + 61 = -w - 4*w, w + 10 = 2*a. Let x = w - -30. Let v be 1 + (3 - x\/5). Which is smaller: 2 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 2 in -0.4, 2, -2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -74 + 74. What are the prime factors of -3 + -3 + (x - -257)?\nAnswer: 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/40 of a millimeter in nanometers?\nAnswer: 75000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 27*p - 781 = -5*z - 1047, 5*z = 3*p - 176 for z.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is s in -2*s**5 + 62*s**4 - 606*s**3 + 1898*s**2 - 1352*s = 0?\nAnswer: 0, 1, 4, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*y - 5*t = 24, 0 = -4*y - 3*t + 14 + 34. Let l = 0.514532 + -0.464532. What is the second smallest value in l, -3, y?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 72*k**2 - 7203\/2 - 3\/4*k**3 - 6615\/4*k.\nAnswer: -3*(k - 49)**2*(k + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 376.3758 decades in months?\nAnswer: 45165.096","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let f(a) = 2*a**2 + 2*a - 8. Let z(j) = -2*j - 3. Let q be z(1). Let d(s) = -s**2 - s + 5. Determine q*f(n) - 8*d(n).\nAnswer: -2*n**2 - 2*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve 36*w = 32*w + 12 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 1210220120210 (base 3) in base 4?\nAnswer: 3223002102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0106611994 rounded to 3 dps?\nAnswer: 0.011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let l(u) = 4*u**3 + 2*u**2 + 2*u + 6. Let n(y) = 9*y**3 + 5*y**2 + 5*y + 13. Calculate 5*l(k) - 2*n(k).\nAnswer: 2*k**3 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let c(i) be the first derivative of -9\/5*i**2 - 1\/30*i**4 - 4 - 4*i + 2\/5*i**3. Let b(w) be the first derivative of c(w). Suppose b(k) = 0. What is k?\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 8 - -54. What is the least common multiple of (6*-1)\/(186\/(-434)) and r?\nAnswer: 434","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -54 divided by -400021?\nAnswer: 54\/400021","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let m(f) be the second derivative of -8\/3*f**3 + 0*f**2 - 2*f - 7. Let h(a) = -6*a**2. Give h(m(w)).\nAnswer: -1536*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 46464356?\nAnswer: 2, 11616089","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Round -186119.584 to the nearest 1000.\nAnswer: -186000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 13747823 + 3987973. Let r = n - 1064097773\/60. Let j = r + -4201\/5. Calculate the common denominator of j and -91\/6.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (18 - 17 + 33)*(3*y - y**2 - 3*y).\nAnswer: -34*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*y + 36 = -2*y. Suppose 5*m + y = 2*m. What is the units digit of (-10)\/15 - 16\/m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*o = -5*b + 5, 9*b - 22 + 5 = 5*o. Solve o*h = 19*h - 85 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -4067 by 581.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let n be ((2 - -2) + 2)\/(-2). Let o = 57 - 48.7. Let x = 8 - o. Put n, 1\/5, x in decreasing order.\nAnswer: 1\/5, x, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(p) = 3*p**2 - 27. Let v(b) = 5*b**2 - 40. Determine 8*q(u) - 5*v(u).\nAnswer: -u**2 - 16","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -35\/9 and -17\/365655?\nAnswer: 1096965","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: (-3*(-22)\/(-165))\/((-2)\/(-4))\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is (20 - (-1152)\/(-63)) + (-2)\/(-7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(66) - -2*sqrt(66)*-2)\/((sqrt(66)*-1)\/sqrt(11)).\nAnswer: 3*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of 685520, 685516, 685512, 685508?\n\"Answer: -4*v + 685524","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {g: 2, z: 1, p: 2}. Give prob of sequence gz.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 313381 (base 9) in base 12?\nAnswer: 8b917","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -95*q + 100*q + 141*q + 79*q - 3 + 2*q + 3 + (3*q + 6*q - q)*(2 - 1 + 1) to r + y*q and give y.\nAnswer: 243","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -2 + 4. Suppose -n*v = 5 + 3. Round v to the nearest integer.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -44 + 1024*f - 768*f + 148 wrt f?\nAnswer: 256","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 6 + -2fc?\nAnswer: -2f6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4 = -b + 5*b. Let m(p) = 16*p + 2. Is m(b) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5 + (1 + (4 + -3 + sqrt(432) + -1 - (-1*sqrt(432) + 2 - ((sqrt(432) - sqrt(432)*-1) + -5))) + 4)**2 + 0.\nAnswer: -192*sqrt(3) + 6911","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let m(b) = -15*b**3 - 3586*b**2 - 240*b - 249. Give m(-239).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {m: 1, d: 14, x: 2}. Give prob of picking 1 x, 1 m, and 2 d.\nAnswer: 13\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1036*v - 828 = 1018*v. Is 23 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*f - 5*p - 10 = 0, -f - 5*p = -0*f + 28 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let c(t) = 4*t**2 - 258*t - 159. Give c(65).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 617 minutes before 9:40 AM?\nAnswer: 11:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 m and 1 j when two letters picked without replacement from {m: 7, j: 4}.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence fro when three letters picked without replacement from orcooooocoforrcoooco?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let p(t) = -t**3 + 20*t**2 + 21*t - 13. What is p(21)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 0 - 1022111?\nAnswer: -1022111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.2?  (a) -220  (b) 8  (c) 4  (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let g(j) = 7*j + 72. Determine g(-10).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let w(m) = m**2 + 4*m. Let q be (88\/33)\/((-4)\/(-6)). Let a be 2 - (44\/q + -4). Let s be w(a). Solve 2*o - 16 = s*l, -3*o + 17 = -l - 3*l for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -12*u + 699842 + 5348158. Round u to the nearest 10000.\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: 1.3 - 17.95\nAnswer: -16.65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (1210\/220 + (-1 - 7))\/(1430\/26).\nAnswer: -1\/22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: 7 divided by 10295\nAnswer: 7\/10295","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let a(h) = 76090*h + 684808. Calculate a(-9).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Round -14403000 to the nearest 100000.\nAnswer: -14400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve -33*w + 38*w - 4*c = 32, w = -5*c - 11 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3258 + 4166 = 936*v - 820*v for v.\nAnswer: 64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*b + 0*o + 154 = o, -2*o + 204 = 4*b. Let y = -727\/14 + b. Suppose -3*t = 9, 2*t + 12 = -s - 2*t. Which is greater: y or s?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 30 - -5. Let k(w) = 3*w**3 - w**2 - 7*w + 6. Let c be k(1). Let r be (2 - (-381)\/c) + 24\/12. Calculate the highest common divisor of h and r.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be ((-594)\/1190 + 204\/476)\/(-3). What is the third biggest value in b, -0.3, 18?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 54, -3, -85.6?\nAnswer: 54","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -60*h + 53*h + 140. Solve 0*m = -4*p - 3*m + h, 5*p + 4*m - 26 = 0 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -136 - -139. Let v(b) = -57*b**3 - b**2 + 63*b**c - b**2 + b. Give v(1).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -57 + 59. Let l(r) = 9*r**2 - 65 + 0*r**t + 65. Let a(q) = -4*q. What is l(a(s))?\nAnswer: 144*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let i(b) = b**3 - 10*b**2 - 15*b + 1. Let y be i(11). Let j = -12 - y. Let p = 23 + -7. What is the remainder when j is divided by p?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 3033 is divided by 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Express 12006 - 4*m + 132*m**2 - 12007 + 4*m in the form x + z*m + w*m**2 and give x.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 15277003 is divided by 162521?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.05 minus -199944.5?\nAnswer: 199944.45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 h and 1 w when three letters picked without replacement from ythyhyyhwhh?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.8526211898 to five dps.\nAnswer: 0.85262","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:28 AM and 8:08 AM?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -67\/7 + -307\/14. Find the common denominator of -127\/6 and f.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 20879 is divided by 133.\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Divide -16906956 by 46068.\nAnswer: -367","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let v(z) = 11*z**2 - 10. Calculate v(-4).\nAnswer: 166","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -46*r**3 + 20*r**3 + 21*r**3.\nAnswer: -5*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let v(l) = l**2 + l - 1. Let t(r) = 3*r**2 + 3*r - 2. Let d(m) = -t(m) + 4*v(m). Let z = 57 - 41. Let g be (3\/(-2))\/(12\/z). Calculate d(g).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*b - 62 + 2. Let v be ((-64)\/(-24))\/(b\/27). Determine n so that 46\/5*n - 42\/5*n**2 - v = 0.\nAnswer: 3\/7, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 15 a factor of 1908?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let k(w) = 697*w + 2779. Let h be k(-4). Which is the closest to 0.083?  (a) -0.3  (b) h  (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 24031 is divided by 32?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve 12 - 44 = 8*b for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let l(d) = 7*d. Let i(w) = -w + 49. Let g be i(24). Let x = g + -21. Let r(a) be the third derivative of -2*a**4 - 6*a**2. Determine x*r(m) + 27*l(m).\nAnswer: -3*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 182850 + 80450 = 91*v - 84047. What are the prime factors of v?\nAnswer: 11, 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find n such that -2*n**5\/23 + 1236*n**4\/23 - 140754*n**3\/23 - 16290464*n**2\/23 - 47571072*n\/23 = 0.\nAnswer: -67, -3, 0, 344","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 4849183 to the power of 1\/8, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let j(n) = -3*n - 14. Let z be j(-4). Let l(h) = -33*h**3 + h**2 + 5*h + 2. Is 26 a factor of l(z)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 19468599?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let f(t) = 29833 + 10*t**2 - 11*t**2 + 880167 - 2*t. Let a be f(0). What is a rounded to the nearest one hundred thousand?\nAnswer: 900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: -20120022021 (base 3) to base 6\nAnswer: -2434224","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 71 is divided by 35?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is -1057 != 16417?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (4 - 2)*(4 - 0\/(-4)). Let w be 1*(12\/(-2))\/1. Let c be (7 - 1)*(-20)\/w. Calculate the highest common factor of c and x.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (i**3)**(2\/87)*i**8\/i**(4\/13) assuming i is positive.\nAnswer: i**(2926\/377)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 0.2984 - -1274.7016. Which is the closest to 0?  (a) -5  (b) 3\/7  (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: -2 - (-3 - -2) - (-38 + 37)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let g(m) = 342*m + 3445. Let x be g(-10). Calculate the highest common factor of x and 2675.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1141722 is divided by 1562?\nAnswer: 1462","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Put -1\/4, 1, -32 in increasing order.\nAnswer: -32, -1\/4, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Convert -267b (base 13) to base 7.\nAnswer: -22031","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let h(m) = 264*m**2 - 44*m + 377. Is h(8) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -9 - (4 + -26 - -7)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Sort 60\/11, -4\/3, 4 in increasing order.\nAnswer: -4\/3, 4, 60\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2516 = s - 10*j - 3923, -2*j = 4*s - 25882. Does 5 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-5)\/(21\/9*(-183)\/854)\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -5769, 80, -2\/13?\nAnswer: 80","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 176 and 1828400.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let f(t) = -169*t - 1. Let m(x) = 20*x. Calculate m(f(h)).\nAnswer: -3380*h - 20","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let y(x) = -x**3 + 10*x**2 - 12*x - 10. Let q be y(8). Suppose q*n - 15 = 7*n. Which is the nearest to n?  (a) 3\/10  (b) -4  (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -2 - c2201?\nAnswer: -c2203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.000001038968952 rounded to 7 dps?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let t(k) be the first derivative of -2*k**5\/5 + k**4\/4 + k**3\/3 - 17*k**2\/2 - 38. Find the third derivative of t(l) wrt l.\nAnswer: -48*l + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1 + 0 + 1 - 51169893*r + 51169890*r.\nAnswer: -3*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (2 - -5) + (-20)\/16*12\/(-3). Which is the nearest to 0.04?  (a) 2  (b) 1\/2  (c) 3  (d) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 433789034 to the nearest integer?\nAnswer: 757","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 139680 and 7372?\nAnswer: 2653920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -1770*b + 1769*b - 5 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let d be -3*1 - -1 - 50509. Let v be -2 - (d - (1 - 0)). Suppose 0 = -s - 3*a + 10094, -3*s + 5*a = 2*s - v. What is s rounded to the nearest 1000?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -787, -789, -791?\nAnswer: -793","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from moomymmmtmoommmvomo. Give prob of picking 1 y and 2 o.\nAnswer: 5\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 25844863.2 rounded to the nearest 100000?\nAnswer: 25800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3, -2, 23, 2 in decreasing order.\nAnswer: 23, 2, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 582446376 to the nearest integer?\nAnswer: 24134","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 1178 and -4.\nAnswer: -4712","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*v + 6 = -w, 0 = 2*v - 100*w + 95*w + 16. Suppose -v*u = 3*o + 85 - 225, 0 = 4*o + 2*u - 188. What is the remainder when o is divided by 27?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -9 - (2 + -4) - -7?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((n**(-1\/4))**(-1)\/(n**(2\/13))**(-8))**(2\/37) assuming n is positive.\nAnswer: n**(77\/962)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (j**(-3)\/j*j*j)**41 assuming j is positive.\nAnswer: j**(-82)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -42 + 75. Calculate the remainder when a is divided by 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 9, 0.1, -1\/8?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is sixty-seven quarters of a year in months?\nAnswer: 201","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-9)\/(-36)*(-40)\/5.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let o(w) = 8*w**3 + 7*w**2 - 7*w - 7. Let y(n) = 3*n - n - n**2 + 1 - n**3 - n. Suppose -4*x - 2 = 10. Let p = 803 + -824. Determine p*y(v) + x*o(v).\nAnswer: -3*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -238 - -474. Let a be q\/12 + 2\/6. Calculate the greatest common factor of a and 30.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from dxbvvvevxvvevexdx. Give prob of picking 1 x, 1 v, and 1 e.\nAnswer: 21\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (o**(-1\/4)*o\/o**4)**(-3\/14)*((o**(-2\/5))**12)**(-1\/58) assuming o is positive.\nAnswer: o**(6327\/8120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: 7 + -3 + (-13 - -5)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1831?\nAnswer: 1831","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 55829121?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let l(f) = 7*f. Let r(d) = 13*d. Let z(s) = 2*s**2 - 76*s + 69. Let n be z(37). What is n*l(j) + 2*r(j)?\nAnswer: -9*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {n: 11, z: 6, o: 1}. What is prob of sequence znn?\nAnswer: 55\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (7\/21)\/(-5*(-1)\/(-9)).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 1188 and 14499540.\nAnswer: 1188","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let w(r) = -r**3 - r**2 + 2*r - 2. Let b(i) = 218*i**3 + 327*i**2 - 654*i + 654. Calculate b(g) + 327*w(g).\nAnswer: -109*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -37 + 102. Let q be 3\/(4 - s\/20). Suppose -3*z = h + q, z = h + 2*h - 18. Which is the closest to h?  (a) -2\/7  (b) 3\/2  (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find f, given that 5*f**4 - 35*f**2 + 30*f = 0.\nAnswer: -3, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -3042254*k*s**2 + 846*k - 136 wrt s.\nAnswer: -6084508*k*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -6 in 3, 1, 1\/5, -34?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(1617) - ((sqrt(1617) - sqrt(1617)*2) + sqrt(1617) + sqrt(1617)) - -3*sqrt(1617))\/(((sqrt(72) + sqrt(72)*-2)\/sqrt(12))\/(sqrt(2) + sqrt(288))).\nAnswer: -273*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 160835526?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is -284390 bigger than -284404?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -248*l - 219805 + 235925 for l.\nAnswer: 65","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -111*p + 110*p + 5. What is the least common multiple of p and 8?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(d) = d**3 + 6*d**2 + 3*d + 2. Give h(-5).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -89*f*u**3 - 46604*f*u**2 - 1769*f*u + 8*f + 7*u - 1 wrt u?\nAnswer: -534*f*u - 93208*f","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"}
{"text":"Question: Let u(z) = 14*z**3 + 10*z**2 + 14*z. Let j(g) = 16*g**3 + 10*g**2 + 15*g. Let r(c) = -6*j(c) + 7*u(c). Let r(v) = 0. Calculate v.\nAnswer: -4, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -1.107 + 1.1. Let d = 417\/5 + -83. Which is smaller: d or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1444176 = -133*y - 1443245 for y.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let h be ((-8)\/(-10))\/(8\/20). Suppose -n + 1 = -3*l, h*n = -4 + 6. Let w = -14 + 22. Solve -3*p + w*p + 5 = l for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*y - 560 = -3*y. Suppose -4*h = -18 - 2. What is the greatest common factor of h and y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 260*n = -191*n - 16236 for n.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Convert -7226 (base 9) to base 6.\nAnswer: -40253","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 46034725.\nAnswer: 5, 11, 17, 43, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Divide 4358210 by -44930.\nAnswer: -97","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Convert -38122 (base 9) to base 14.\nAnswer: -949a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2809 = 176*r + 887 for r.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 20 and 49.\nAnswer: 980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -13 - -25. Suppose -2*f - 2*f = i. Let l(v) = -11*v - 5. Let y(w) = -5*w - 2. Suppose 0 = -3*o + 5*z + 11, -o = -3*z - 23 + 22. What is f*l(b) + o*y(b)?\nAnswer: -2*b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*p + 3*n + 44 - 48 = 0, -8 = -4*p + 3*n. Solve 0 = -3*c + 2*y + 4 - p, -c + 4*y = 6 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -5*y**2 - 38*y**2 - 15*y**2 + 8*y**2.\nAnswer: -50*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let z(y) = -7*y**3 - y**2 - 2*y + 7. Let b(m) = m**3 - m - 1. Give 5*b(l) + z(l).\nAnswer: -2*l**3 - l**2 - 7*l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1 - 3 = -z. Let x(c) = c - 5. What is x(z)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of 509092, 509090, 509088, 509086, 509084?\n\"Answer: -2*m + 509094","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 1bca4 (base 15) in base 13?\nAnswer: 32317","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -12 - -43. Suppose -26*m + 61000 = -u*m. Round m to the nearest one thousand.\nAnswer: -12000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(z) = 2*z**2. Let t(p) = -146*p. Calculate t(o(y)).\nAnswer: -292*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*u + 3*p + 224 = -59, 0 = -3*u - 26*p + 184. Solve 13*h - u = -h for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (4 - 432\/40) + 7.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(x) = -2*x**2 - 2*x - 1. Give q(-2).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let i(g) = -g**3 + 25*g**2 - 10*g + 150. What is i(25)?\nAnswer: -100","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -6aa9a - 5?\nAnswer: -6aaa2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let f(n) = -5*n**2. Let a(l) = -923167*l. Determine a(f(g)).\nAnswer: 4615835*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 0 - 12671*r - 12672*r - 12739*r + 38113*r + 0.\nAnswer: 31*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 681*s**2 - 973*s**6 - 2364*s**6 + 3*s + 442*s**2 wrt s.\nAnswer: -400440*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -863*y**3 + 209*y**3 + 156*y**3.\nAnswer: -498*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -m = -6*m - 25. Let b be (-3 - -3) + 1\/1. Let d(p) = 2 - 6*p - b - 5 - p**2. What is d(m)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 123 + -130 - (-1 - 0).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -24 - -6498a8?\nAnswer: 649884","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 23\/1459752 and 59\/210?\nAnswer: 7298760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Express (-3*n**2 - 1 + n**2 + 0*n**2)*(1 + n**2 + 1 + 15*n**2) as a*n**2 + x*n**4 + u + c*n**3 + j*n and give u.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 4883 + 2 - ((-6 - -1) + 2). Let v be 21\/(-12)*(i - -6). Let y = 205409\/24 + v. Find the common denominator of y and 4\/7.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: -51 + (78 - -94) + -147\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 3 + -1 - (4 - -4) - -7?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let q(v) = 16*v + 23*v**2 - 1777 - 10*v**2 + 1793 - 11*v**2. What is q(-11)?\nAnswer: 82","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -53\/180 and -21\/80?\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let q(v) = 4 - 5*v + v - 7. What is q(-4)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-1152)\/(-48240)*(-5)\/(-4372). Which is smaller: i or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: 10502 + -10417 - (109 - 1)\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 11 + 71?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 13 divided by -100?\nAnswer: -13\/100","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let l(a) = 5*a. Let n(x) = -4*x. Let v(w) = -5*l(w) - 6*n(w). Let g(y) = 5*y**2 + 6*y. Let r(c) = 4*c**2 + 5*c. Let u(i) = 5*g(i) - 6*r(i). Determine u(v(t)).\nAnswer: t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 13*r + 22*r + 45*r - 50*r + 16*r.\nAnswer: 46*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (40\/(-42))\/(-2)*6\/(-5).\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:44 PM and 4:08 AM?\nAnswer: 564","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let k(i) = -73*i**3 + 63*i**2 - 66*i**2 + 1 - 43*i**3. Let l be k(-1). Suppose 0 = -5*h + 34 + 541. Which is bigger: l or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1012202312 (base 4) in base 14?\nAnswer: -77434","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 10 and 14.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 31774369963 plus -0.3?\nAnswer: 31774369962.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*u + u + 2*u)*(2 + 1 - 2) + 4*u - 3*u + 0*u.\nAnswer: 2*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 63873 is divided by 15893.\nAnswer: 301","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {y: 1, h: 2, q: 1, f: 1, l: 1, x: 1}. What is prob of sequence hhy?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 13 - 10. Suppose a*o = -o. Suppose o = r - 0*r - 6. What is the units digit of r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(a) = -10*a**2 - 5*a. Let j(t) = -43353*t. Calculate j(c(b)).\nAnswer: 433530*b**2 + 216765*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Put together 0.0941 and -176160.829731.\nAnswer: -176160.735631","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Round 11.23556 to the nearest integer.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let q(d) = -d**3 - 6*d**2 + 5*d + 15. What is q(-5)?\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -3814 - -81814. Round g to the nearest ten thousand.\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of 70, 51, 14, -47, -138?\n\"Answer: -x**3 - 3*x**2 - 3*x + 77","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 76\/141561 and 103\/22470.\nAnswer: 1415610","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of r**4*t - 45634*r**3 - 9*r*t - 1131 wrt r.\nAnswer: 12*r**2*t - 273804*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {j: 3, q: 13, k: 4}. Give prob of picking 1 q and 2 k.\nAnswer: 13\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2 + 0 + 5 + 2*z)*(0 + 3*z + 0 + (-3 - 1 + 2)*(0*z + 2*z + 0*z) + z - 2*z - 6*z - 2*z + 0*z + 6*z) + (-z**2 - 4*z**2 + 4*z**2)*(-4 + 2 + 0).\nAnswer: -6*z**2 - 12*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let n(h) = -h**2 - 7*h + 17. Determine n(5).\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 215534757?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 0.06517 + -2.06517. Let l = -27 - -138\/5. Which is the nearest to h?  (a) 0.1  (b) l  (c) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between 0.145020809 and -13.742?\nAnswer: 13.887020809","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 54 + -33. What is the highest common divisor of i and 14?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(i) be the third derivative of 0*i**3 + 0 - i**2 + 0*i**4 + 1\/12*i**5 + 0*i. Let m(b) = -b**2 - 3 + 3. What is f(m(p))?\nAnswer: 5*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let q be ((-1)\/3)\/((-1)\/45). Let r be q\/9 + 2\/(-3). Let d = r + 0. Let h(s) = 5*s**3 + s**2 + s - 1. What is h(d)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -32*z - 119 - 170 + 65 for z.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*s - 12 = u, -3*u + s + 20 - 1 = 0. Let r = u + -4. Suppose -r*g = -g - 30. What is the remainder when g is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 147831 to the power of 1\/3, to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -13911 - -35211. Round a to the nearest 10000.\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: -6295 divided by -3\nAnswer: 6295\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let y(f) = -f**2 + 8*f - 5. Let h be y(7). Let k be 1\/h*(-2 + 2). Suppose 4*d - 2*o + 5 - 19 = k, 3*o = 4*d - 9. What is the units digit of d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between -0.14 and 0.0254?\nAnswer: 0.1654","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (2\/1*14\/5180)\/(16*29\/2320).\nAnswer: 1\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 972877298 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 1884 and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*p = s - 2*s - 10, -2 = 5*s - p. Let n be 0\/s - 0\/14. Find q such that -2\/9*q**3 - 2\/9*q**4 + 2\/9*q + n + 2\/9*q**2 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: 86056\/(-6246)*(-9)\/18\nAnswer: 62\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 18 + -18. What is the closest to -1 in 2, -0.2, w?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of 29981, 59963, 89947, 119933?\n\"Answer: t**2 + 29979*t + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.009646566 rounded to five decimal places?\nAnswer: -0.00965","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*l + 26 - 91 = 0. Let a = l + -19. What is a rounded to the nearest 10?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 107785?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 900 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 79*t + 528 = 83*t. What is the hundreds digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0?  (a) -0.0632  (b) -5  (c) 74  (d) 3  (e) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 33240 and 328?\nAnswer: 1362840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: -9594 divided by -3\nAnswer: 3198","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let v(a) = -7*a + 132. Let y be v(19). Sort y, 5, 53\/4, 0.4 in increasing order.\nAnswer: y, 0.4, 5, 53\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 349.4749mm in kilometers?\nAnswer: 0.0003494749","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 776 and 226107?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*u = -3*u. Suppose -4*p = -9*p + 10. Suppose 5*k = 3*f + 48, -p*f - 22 + 6 = -2*k. Solve 4*c = -u*c - k for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(m) = -466*m - 11957. What is n(-26)?\nAnswer: 159","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5 + -2*(2*(sqrt(75) - (0 + sqrt(75))) - ((sqrt(18) + sqrt(72) + sqrt(18))\/sqrt(6) - sqrt(15)\/(sqrt(20)\/sqrt(4)))) + -3.\nAnswer: -8 + 6*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 q and 2 m when four letters picked without replacement from {q: 2, m: 6}.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 3375218 and 4142313?\nAnswer: 91130886","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -51*p + 24*p - 794151000 = 0. What is p rounded to the nearest one million?\nAnswer: -29000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -2, -5, 5 in descending order.\nAnswer: 5, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let i(x) = 3*x + 1. Let c be i(-1). Let d(s) = -2*s**3 + 2*s**2 - 1. Let v be d(2). Let h be -2 + 3\/5*(4 + v). Put c, h, 2 in ascending order.\nAnswer: h, c, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(o) = o**3 + 13*o**2 - 66*o - 24. Is 44 a factor of w(-16)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-15*w**4 + 3*w**4 - 2*w**4)*(-5 + 3 + 3)*(-3 + 4 + 0).\nAnswer: -14*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2 + 2*o**2 + o**2 + o**2 - o**2.\nAnswer: 3*o**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 20288773.\nAnswer: 163, 124471","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let w(j) = -20*j + 58. Determine w(3).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 13569 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 236310600 and 57.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 0.978 - -87.022. Let r = -6236.62 + 6149. Let p = l + r. Round p to 1 decimal place.\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 991 - 233. Let y = -439 + s. Is y 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 46728293?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = q + 3*q - 32. Let v be q\/(-6)*9\/6. List the prime factors of (v - 0)\/(2\/(-7)).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 2\/7  (b) 21  (c) -0.5  (d) -2\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 10004514 (base 7) in base 10?\nAnswer: 825171","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose r - 5*c = -16, -2*c - c = 3. Is ((-72)\/7)\/(3\/r) a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(r) = 6*r. Let z be a(-1). Let t(o) = -o**2 - 8*o - 7. Let q be t(z). Solve -3*x + q*k + 2 = -2, -x - 2*k = 6 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 24\/(-16)*(-4)\/3. Suppose -2*w - 2*u = -10, w - 4*u + 0 = -10. Let g be 3 + 0 + (b - w). Let i(a) = a**3 - 2*a**2 - 2*a + 1. Calculate i(g).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-750)\/900)\/((-4)\/(-6)*-5).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -19 + 22. Suppose 2*j + 0*h = -5*h + 27, 0 = 2*j + u*h - 29. Is 7 a factor of -4 + (3 - 2) + j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:53 PM and 7:25 AM?\nAnswer: 692","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 11673 is divided by 108?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -76*l - 2113265 + 6532969. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*j - 5*v + 4 = 0, -5*v = 2*j - 0*v - 12 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 2.74 + -2.6. Let o = w - -21.76. Let v = -22 + o. Which is the nearest to -2\/33?  (a) 1\/2  (b) v  (c) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 218687 is divided by 804?\nAnswer: 803","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Factor -5*i**3\/2 + 893865*i**2 - 159705925125*i\/2 - 8314378962500.\nAnswer: -5*(i - 178825)**2*(i + 104)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let o(c) be the second derivative of c**4\/3 - 11*c**3\/3 + 7*c**2\/2 - 20*c + 1. Let x be o(5). What is the fourth biggest value in -0.4, 1, -1\/6, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 35383*i - 23900 wrt i?\nAnswer: 35383","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -3253 - -4450. Calculate the least common multiple of 12 and o.\nAnswer: 4788","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 2534609 and 539?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let r(i) = 54*i**2 + 29*i + 112. Give r(-4).\nAnswer: 860","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 22085*f**2 + 1 + 5*f**4 - 45127*f**2 - 37*f**3 + 22093*f**2 wrt f?\nAnswer: 120*f - 222","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -231332 (base 4) in base 13?\nAnswer: -1454","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 1711 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*n - 3 = w, 48*n - 2*w - 6 = 53*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.19569 less than -2?\nAnswer: -1.80431","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Does 10 divide 25762570?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from vvvppvppppp. What is prob of picking 2 p and 1 v?\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from accbcbffff. Give prob of picking 1 a, 1 c, and 2 f.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*s - 10 = -0*f + 4*f, 5*s + 2 = f. Let j be (s\/(-3))\/(6\/(5 + 31)). Solve -j*c + 3*u + 12 = c, 0 = 4*c + 4*u + 24 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -737 - 3544*w**2 + 3544*w**2 + 15*w**4 + 14*w**3 - 1121 wrt w.\nAnswer: 60*w**3 + 42*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from nlnyntylttnnyntttnw. What is prob of sequence nyll?\nAnswer: 7\/15504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 70.334 - 70.134. Suppose 4*v + 4 + 0 = 0. What is the nearest to v in 1\/3, -0.1, g?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(r) be the first derivative of 2*r**3 - r**2\/2 - 1. What is the second derivative of c(q) wrt q?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (16 + 1 + 13)*(-2 + 5 + 2)*(4*y - 5*y - 13*y) to p + k*y and give k.\nAnswer: -2100","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from irxiirrnrnrrkrir. Give prob of picking 1 k and 2 i.\nAnswer: 3\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (g**(1\/10)*g**(-3)*g*g*g*g)\/(g\/(g*g**(-1\/2)))**(-7\/3) assuming g is positive.\nAnswer: g**(34\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 165*h = 158*h. Suppose 3*j - 3776 = -x, 4*j - 2*j - 3*x - 2499 = h. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many kilograms are there in five quarters of a tonne?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 8407.\nAnswer: 7, 1201","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*d = b + 20, d - 3*d - 3*b - 10 = 0. Let v be (d + 1)\/(0 - 2). Suppose 2*x - 2*g + g - 10 = 0, v*g = -2*x + 22. What are the prime factors of x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-2)\/6 - (-37)\/3. Let x = -1 + g. What is the units digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*t + 24 = -21. Let o(y) = y**2 - 13*y - 20. Let f be o(t). Let x = -61 + 64. Solve -f - 2 = x*u for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -5067 or -5068?\nAnswer: -5068","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 75337648?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Expand -45*g**3 - 4*g**3 - 4*g**3 + (g**2 - 2*g**2 + 3*g**2)*(2*g - g + 0*g) + g**3 + 3*g**3 - 2*g**3 + (-2 + g**2 + 2)*(160*g - 98*g - 86*g).\nAnswer: -73*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 0.0157 + 3.9843. Which is the third biggest value?  (a) 0.06  (b) 1  (c) h  (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 6780000 to the nearest one hundred thousand.\nAnswer: 6800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let y(r) = 3065*r - 76636. Determine y(25).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let l(a) = a**3 - 4*a**2 - 21*a - 5. Determine l(7).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 1.69 + 1.31. Let r = -4 + u. Which is the closest to -0.1?  (a) r  (b) 0  (c) 2\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 9 + -23. Let y be (l\/(-21))\/((-2)\/3) + 58. Let j = -17 + y. Calculate the highest common divisor of 120 and j.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(g) be the third derivative of 0*g + 15*g**2 + 0 - 1\/24*g**4 - 1\/2*g**3. What is n(-5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-c + 2*c - 4*c)*(-2 - 3 + 4 + (-1 + 0 + 2)*(4 - 1 - 4))*(19*c + 75*c**2 - 19*c) as t*c**3 + o*c + f*c**2 + z and give t.\nAnswer: 450","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Factor -i**3\/5 + 847*i**2\/5 - 6703*i\/5 - 7551\/5.\nAnswer: -(i - 839)*(i - 9)*(i + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 16\/(-56) - 61\/7. Let r = 15 - n. What is the units digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1\/6, -2\/13, 0.3, 64, 0.1 in ascending order.\nAnswer: -2\/13, 0.1, 1\/6, 0.3, 64","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2680?\nAnswer: 2, 5, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*r - w = 14, -314 + 342 = 5*r + 3*w for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 1.4164 - 0.0764. Let j = 61451.33842 + -61450. Let b = m - j. What is b rounded to three decimal places?\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (53 - ((0 - 1) + 2)) + (118 - (123 + 0))?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let u(k) be the first derivative of k**3\/3 - 9*k**2\/2 + 20*k + 7. Let d be u(6). Factor -2\/3*y**2 + 0 - d*y.\nAnswer: -2*y*(y + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(n) = 2*n**2 - 3*n - 14. What is the remainder when 36 is divided by u(-3)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 8156 > 8156?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*k - 4 = 4*z + 6, 4*z + 4 = 0. Which is the closest to 4?  (a) -2\/3  (b) -0.1  (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 30\/60*4*9*(-5)\/(-330).\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 6320019 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 67167, 134322, 201455, 268554, 335607, 402602, 469527?\nAnswer: 536370","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 6\/51355 + 400323\/2105555. Find the common denominator of -77\/135 and j.\nAnswer: 5535","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -39*a + 112 = -23*a. Let p(y) = y**2 - 4*y - 2. Determine p(a).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 8, 0.11, -3, 4 in decreasing order.\nAnswer: 8, 4, 0.11, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3, 0.7, 9\/836, -0.04 in decreasing order.\nAnswer: 0.7, 9\/836, -0.04, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -70 + 111 - 113*g**3 + 53*g**3 + 56*g**3 - 473 + g**2 to q + w*g + d*g**3 + o*g**2 and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 8801617 a multiple of 253?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: 1 (base 16) to base 4\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -7*f = 13*f + 100 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 22085 - 12052. What is the hundreds digit of p?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (b**(2\/11)\/b*b*b*b)**(-10)\/((b**(-24)*b)\/b**(-3\/10)) assuming b is positive.\nAnswer: b**(97\/110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -1 - -149?\nAnswer: 148","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (((-286)\/(-231))\/13)\/((-45)\/(-21)).\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -76, -63, -34, 17, 96, 209?\nAnswer: 362","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.000031377 rounded to five dps?\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9*k - 11 = 5*k - 5*r, -5*r = 25. What is the lowest common multiple of k and 54?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -0.0021 - -2.8921. Let x = q + 0.11. Which is the second smallest value?  (a) x  (b) 0  (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be ((-3)\/2)\/(1\/(-2)). Suppose 5*o - 105 = x, -2*o + 28 = u*x + 3. Solve -5*i + z = 26, -3 = 5*i + 2*z + o for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -67\/144261 and -119\/599238.\nAnswer: 7790094","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let p(g) be the second derivative of -g**3\/6 - 10*g**2 + 2*g - 53. Let u be p(-24). Let x = -3 - -2. What is the nearest to x in -0.2, -28, u?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(a) = -110661*a - 110657. Calculate k(-1).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: (405\/(-540) - 19\/(-4)) + 15\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 54.13697 rounded to one dp?\nAnswer: 54.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 143408984 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Expand (q**3 + q**3 + 4*q - 3*q)*(-18*q - 56*q + 124*q).\nAnswer: 100*q**4 + 50*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let y(v) = -3356*v**3 - 29*v**2 + 8*v + 16. Is y(-5) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.00438564 + 2.048141?\nAnswer: 2.04375536","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let i(z) = 4*z. Let f be 1 + -1 + (4 - 3). Suppose 5*l + f - 11 = 0. Let s(d) = 37*d**l - 25*d**2 - 15*d**2. Determine s(i(h)).\nAnswer: -48*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let h(o) = 3*o**2 - 3. Let w(m) = 1. Let g(c) = 1. Let y(f) = 6*g(f) - 5*w(f). What is h(j) + 2*y(j)?\nAnswer: 3*j**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let q(l) = 3*l**2 - 116*l + 295. List the prime factors of q(62).\nAnswer: 3, 5, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*f + 10 = -2. Suppose 0 = -8*z + f*z + 20. Suppose -z*g + 1 = -5*g, 3 = 4*l + g. Solve 1 + l = -2*a for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 3\/275 - 559\/825. What is the nearest to 0.08 in 0, f, 0.4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 20870 - -3843. Does 10 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine u, given that 3*u**4 + 336*u**3 + 5793*u**2 + 5460*u = 0.\nAnswer: -91, -20, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 8a94 + -1?\nAnswer: 8a93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -3*n**2 - n**2 - n**2 - 208 - 433*n**4 - 427*n**4 - 62*n**4 wrt n?\nAnswer: -22128*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 7440 and 16368.\nAnswer: 81840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (i**4\/i*i*i\/(i\/(i**(-1\/9)\/i)))\/((i\/(i*(i*i*i*i**(2\/9)*i*i)\/i)*i*i)\/(i**(-6)\/i*i*i)) assuming i is positive.\nAnswer: i**(1\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-145 - 47 + 92)*(-2*z**5 + 4*z**5 - 3*z**5).\nAnswer: 100*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -2\/73 + 79\/219. Are -1 and t equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: -6.9 * 0.21\nAnswer: -1.449","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of 264, 547, 832, 1119?\n\"Answer: l**2 + 280*l - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2*-1398.\nAnswer: 2796","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let y(i) = -9*i + 429. What is the remainder when 359 is divided by y(44)?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 27*j + 1 = 25*j + 3*f, 4*f - 3 = 3*j for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -78*a + 97*a + 19 = 0. Sort 4, -2, a, -18 in descending order.\nAnswer: 4, a, -2, -18","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 14*k**3*l**3*s + k**3*l**2*s - 2*k**3*s - 2*k**2*l**3*s + 2*k**2*l**2 + 2*l**3*s + 6*l**2*s wrt k.\nAnswer: 84*l**3*s + 6*l**2*s - 12*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -286 = 75*l + 689 for l.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((t*t**4*t*t*t)\/t)\/t)**(2\/17)\/(t**(-1\/18)*t**(-7\/3)) assuming t is positive.\nAnswer: t**(947\/306)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 378 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 522*f = 520*f - 202600. Round f to the nearest ten thousand.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of -105, -152, -215, -300, -413, -560, -747?\n\"Answer: -s**3 - 2*s**2 - 34*s - 68","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 264 and 108.\nAnswer: 2376","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of 97064, 194136, 291208, 388280, 485352, 582424?\n\"Answer: 97072*p - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 343372 rounded to the nearest one thousand?\nAnswer: 343000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is -123 - -130 - (-1 + 15)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let r(f) = -147*f**3 + 54*f**2 - 17*f - 1. Let n be r(17). Is n\/(-245) + (-4)\/14 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -131119*j**4 + 4*j**3 + 7302368*j?\nAnswer: -1573428*j**2 + 24*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let f(g) = 161*g**5 - 5*g**3 - 5*g**2 + g - 1. Let c(s) = -80*s**5 + 2*s**3 + 2*s**2 + 1. Let b(i) = 5*c(i) + 2*f(i). Find the second derivative of b(y) wrt y.\nAnswer: -1560*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 770675 and 5655?\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (4*-5*sqrt(204)*2)\/((sqrt(432) - (sqrt(432) - (sqrt(432) + -1*sqrt(432) + sqrt(432))))*6).\nAnswer: -10*sqrt(17)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let s(o) = 4*o + 7. What are the prime factors of s(3)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 0, -45\/4, -0.2, 4?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.000000496 to seven decimal places.\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Product of 0.08 and -6268.\nAnswer: -501.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 2655 and 4125?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let b(t) = 2*t**3 + 3*t + 18. What is b(0)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 1470 and 625928058?\nAnswer: 3129640290","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -0.05  (b) 4\/7  (c) -6\/23  (d) 2\/5  (e) -4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2113271 is divided by 86.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -g = 4*u + 3*g - 16, 2*u - 22 = 5*g. Suppose 0 = -2*s + u - 0. Solve r = 5*i + 24, -s*r + 2*i - 6*i = 4 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose d = -3*d + 2*u + 84, -d - u = -21. Suppose -3*b + d = 6. Factor 33*f**4 - 46*f**3 - 6*f - 3*f - 9*f**b - 35 + 36 + 35*f**2 - 5*f**2.\nAnswer: -(f - 1)**3*(3*f - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 8136422*i**2 - 3 - 17*i - 8136413*i**2 + 17*i + 3.\nAnswer: 9*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let u(m) = -m**3 - 4*m**2 - 9. Let a(n) = 3*n**3 + 8*n**2 + 3*n + 19. Let d(k) = 2*a(k) + 5*u(k). Let b be d(3). Solve b*t = 5 - 3 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 0 by 16257.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.5164744 milligrams in nanograms?\nAnswer: 516474.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 50638 a multiple of 37?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 327785082?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 2\/19?  (a) 3.14  (b) 0.3  (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let s(v) = 6*v**2 + 15*v - 8. Suppose -3*c + 25*g - 103 = 12*g, 0 = -5*c - 5*g + 15. Determine s(c).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*v**3 + v**3 - v**3 + (1 + 1 + 0)*(1 + 15*v**3 - 1))*(4*v**2 + 4*v**2 - 2*v**2).\nAnswer: 192*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -11 - -6.8. Let p = h - -4. What is the second smallest value in 1, p, 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 501 is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -2\/9 or 53\/5?\nAnswer: 53\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 3053074 to the nearest integer?\nAnswer: 145","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1624 = -4*k - 3*k. Let f = k + -98. What is the units digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 705355 and 315.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 88969 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: What is prob of picking 1 x and 1 n when two letters picked without replacement from xnxxllxnnnnnxxx?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 35.7935ug in kilograms?\nAnswer: 0.0000000357935","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -13 - (-25 + 16) - (-1 - (37 - 4))?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 0.08*8338.5\nAnswer: 667.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 20523, 20428, 20221, 19908, 19495?\nAnswer: 18988","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 611\/5 + -11599\/95. Sort -2, u, 3, -6.\nAnswer: -6, -2, u, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(l) = 20*l**2 - l. Let w be c(-1). Suppose 5*v = -57 + 17. Let o = w - v. What is the remainder when o is divided by 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(p) be the first derivative of p**6\/120 - p**4\/8 + p**3\/3 + 3. Let b(z) be the third derivative of u(z). Factor b(c).\nAnswer: 3*(c - 1)*(c + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*z - 5*d = 5*z - 16, -4*d - 10 = -3*z. Is z even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*v = -u + 2*u + 22, -v - 1 = -2*u. What is the third derivative of 0*y**u + 158*y**2 + 3*y**4 - y**4 - 34*y**3 wrt y?\nAnswer: 48*y - 204","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many milliseconds are there in 6\/5 of a second?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is one fifth of a litre in millilitres?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-5)\/(-34)*(-186)\/775)\/((-1)\/15).\nAnswer: 9\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is (0\/2)\/(4\/(2\/(-1)))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 30*w**3 + 35*w**2?\nAnswer: 180","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -k*n**2 - 3*k*n + 15694*k - 1221*n**2 + 4 wrt n.\nAnswer: -2*k*n - 3*k - 2442*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: (-35)\/21*12\/(-20)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (y**(2\/25)*y**15\/y)\/(y**(4\/9)\/y)**(-16\/3) assuming y is positive.\nAnswer: y**(7504\/675)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let n(b) = -17*b**2 - 19*b + 9. Give n(-3).\nAnswer: -87","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 324 minutes before 1:00 AM?\nAnswer: 7:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3 + m**3 - 3)*(31*m + 16*m + 11*m) + 68*m**4 + m**4 + 0*m**4 + (-2 + 2 + m**3)*(-1 - 2*m + 1) + 0*m**4 - m**4 + 0*m**4.\nAnswer: 124*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve -24*p**4 - 9*p**3 - 70*p + 24*p**2 - 9*p**3 - 2*p**3 - 8 + 82*p = 0.\nAnswer: -1, 1\/2, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of -2*(-6)\/(-9) - (-2265)\/45 and 35?\nAnswer: 245","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 6\/25 of a litre?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 71737?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3076124.\nAnswer: 2, 241, 3191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((sqrt(176) - -6*sqrt(176)*2) + sqrt(176) - (3 + -1*sqrt(176))) + ((sqrt(176) - (2 + sqrt(176))) + -4)*-5)**2.\nAnswer: 3240*sqrt(11) + 40329","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: How many meters are there in eleven quarters of a kilometer?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 473*h**3 + 1868*h**3 + 99*h**3 + 152*h**3.\nAnswer: 2592*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -79 - -89. Suppose -3*l + 5 + s = 0. Let x be (-1)\/30*(125\/(-10))\/l. Which is bigger: 0 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between -38996 and -393142.559?\nAnswer: 354146.559","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose d - 5 + 1 = 3*s, 4*s - 2*d + 8 = 0. Let z be ((-6)\/(-2))\/(1 + s). Find the third derivative of -c**2 + 0*c**2 + z*c**2 + 2*c**6 wrt c.\nAnswer: 240*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((6\/2)\/((-4)\/(-14)))\/((-1)\/((-110)\/(-33))).\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -71 - -95. Suppose 4*q - x = 8. Solve q*j = 4*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 472993.\nAnswer: 472993","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1*sqrt(900) + sqrt(900))\/sqrt(12).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -22 + 13. Let x be (a - 2)*(-2)\/(-2). Let t = x + 9. Is t less than -3\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: -34145221 (base 6) to base 2\nAnswer: -11111110000010101101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 + 1 + i)*(0 - 3 + 1 + (-4 - 1 - 12)*(-3 - 3 + 4)).\nAnswer: 32*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 8 and 2961.\nAnswer: 23688","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let f(l) = 2*l**4 + 33*l**3 + 12*l**2 - 59*l - 3. Let b(z) = -3*z**4 - 67*z**3 - 23*z**2 + 121*z + 7. Let m(i) = 3*b(i) + 7*f(i). Factor m(d).\nAnswer: 5*d*(d - 1)*(d + 2)*(d + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 79*p + 118*p = -139*p + 10752. Calculate the highest common divisor of 2816 and p.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(q) = -q**3 - 8*q**2 + 18*q + 11. What is p(-7)?\nAnswer: -164","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let v(x) = 10*x**2 - 2. Let j(m) = 4*m. Give v(j(p)).\nAnswer: 160*p**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve 20*x - 18*x - 122*x + 48*x - 3888 = 0 for x.\nAnswer: -54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 31\/36972 and -77\/6162.\nAnswer: 36972","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*n + 5*w - 12, 2*n + 0*w = -w - 4. Let a be (-2)\/n + 24\/16. Suppose -5*z - 193 = -208. What is the closest to 2.1 in -2, z, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -6*c**2 + 32*c**3 - 99 - 109 + 210 + (-c - c - c)*(-2*c**2 - 4*c + 4*c) to z*c + x*c**2 + s*c**3 + q and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1300 + -10.\nAnswer: 1290","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 395  (b) -4  (c) 2\/83  (d) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 34*g + 221*g + 28 + 34 + 31 - 93.\nAnswer: 255*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*o + 10 + 5. What is the units digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 8 + 5 + -7 + 0 + -2 + -6?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -4727405*f**2*h**4 + 12*f**2*h**2 - 4*f**2*h - 26*f**2 - f*h**2 - 130*f wrt h?\nAnswer: -113457720*f**2*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((j**(-39)*j)\/j)\/j)\/(j*j**25) assuming j is positive.\nAnswer: j**(-66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -2*h**3 + 0*h**3 - 9*h**3 + 0*h**3 - 3*h**2 wrt h.\nAnswer: -66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(v) = -v**2 + 4. Let c be g(0). Let o(z) = 0 - 5 + c - 5*z. Let p = -9 - -8. Calculate o(p).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 474 minutes after 3:42 PM?\nAnswer: 11:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.5802576 meters to kilometers.\nAnswer: 0.0005802576","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let x be ((-9)\/(-6))\/(((-15)\/120)\/((-3)\/18)). Solve 0 = -x*k - 7 + 17, 5*k = 4*r + 37 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-4)\/(-10) - (-44)\/(-10). Suppose 4*n - 20 = 2*y, n - 2 = -y - 3. Let z = y + 1. Sort -2, z, x.\nAnswer: x, z, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:17 PM and 11:12 PM?\nAnswer: 355","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 249 - 86 - 14*d**2 - 163.\nAnswer: -14*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 254\/(-1651) - 122\/52.\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 29\/210 and -47\/35.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 0.6 - 5.6. Let m be (3162\/(-84))\/17 + 4\/(-14). What is the third smallest value in -4\/5, w, m?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(g) = -g**3 - 4*g**2 + 18*g - 94. Give m(-8).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Express (0 + 0 - 29822*k + 29729*k)*(2 - 2 - k)*(1 + 2 + 2) in the form s*k**2 + u*k + q and give s.\nAnswer: 465","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from wwwwwwpywww. Give prob of picking 2 w.\nAnswer: 36\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 500252.\nAnswer: 2, 125063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of -595, -2377, -5353, -9529, -14911?\n\"Answer: -a**3 - 591*a**2 - 2*a - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 620*v - 616*v + 4*d - 8, v - 26 = 5*d for v.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -3741 divided by 1247.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 7 + 5787a?\nAnswer: 57885","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {n: 1, f: 2, b: 4}. What is prob of picking 1 n and 2 b?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 m when two letters picked without replacement from {m: 4, f: 10}?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: -978912 divided by -4944\nAnswer: 198","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -c*h**3*s + c*s + 5*c - 87*h**3*s - 2*h**3 - h**2*s - 2*h**2 wrt h?\nAnswer: -6*c*s - 522*s - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 1 - 1. Let g be 32*(-7)\/119 - (-486)\/(-4131). Which is the nearest to w?  (a) g  (b) -5  (c) -1  (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 8890.113ml to litres.\nAnswer: 8.890113","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 192\/(-336) + (-696)\/(-42).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 h and 2 w when three letters picked without replacement from hchhhhwhcwhcch?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(539) + (sqrt(539) - (sqrt(539) - (sqrt(539) + 1))*4) + (sqrt(539) + -1)*4)**2.\nAnswer: 19404","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let g(y) = 3*y. Let a be g(3). Let i(p) = 11*p - 2. Let s = -82 - -78. Let l(b) = 5*b - 1. Give a*l(v) + s*i(v).\nAnswer: v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let t(n) = -n**3 + n**2 + 5*n - 3. Let g be t(-3). What is the remainder when 44 is divided by (-3 + g\/4)*10?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*n + m = 23685 - 23691, 5*m = -n + 6 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Divide -1242 by -11279.\nAnswer: 1242\/11279","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"}
{"text":"Question: Let a be -3*(-3)\/9 + 5. Let t(z) = z**3 - 7*z**2 + 7*z - 3. Let k be t(a). Let i be (-1)\/(((-9)\/15)\/k). Solve 0 = 3*j - 7 - i for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 44414661 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*r = -c + 198, -69*r + 71*r = -4. Is c even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*v - 2579 + 2549 = -s, v = s + 10 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -3958 - -3958.42. Is -1.9 less than q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (12\/(-8))\/((-19172)\/(-1128) - 17). What is the greatest common factor of b and 144?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-6)\/(-20)*(-8)\/(-42))\/(182\/(-910))?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 248246 is divided by 286?\nAnswer: 284","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 14 a factor of 16598992?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4 + 3*s**3 - 4)*(1 + 2 - 2)*(12*s - 16*s**2 - 12*s).\nAnswer: -48*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 396965?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 33695131 divided by 4?\nAnswer: 33695131\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (308\/(-21))\/((-2)\/42). Suppose 5*f - 5*i - 231 = 2*f, -p = -4*f - 2*i. Calculate the highest common divisor of f and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*r**2 - 84*r - 160.\nAnswer: -2*(r + 2)*(r + 40)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let n(h) = -648*h + 46668. Determine n(72).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*l**4\/9 - 1918*l**3\/3 - 1835510*l**2\/3 - 1741760606*l\/9 + 3550014724\/3.\nAnswer: -2*(l - 6)*(l + 961)**3\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (20\/(-7) + 2)\/((-4)\/(-112)).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2920 is divided by 23.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 85 = -3*o + 97. Suppose 7 = 4*j + 5*t, 3*j + 3*t = -o + 13. Solve -j*v + 2*v = 0 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*t + 2*n = 10, n = -3*t - 9 - 10. Let y = t - -6. What is the derivative of -f**3 + y + 7 - 1 - 2 wrt f?\nAnswer: -3*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange ((-4 + 2 + 0)*(-7 + 12 + 5) + 2 + 3 - 6 + (-3 + 3 + 1)*(-6 + 3 + 2))*(1 - q**4 - 1) to c*q**3 + u*q**2 + w + y*q + i*q**4 and give i.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Put -0.3, 16, -28, 4 in decreasing order.\nAnswer: 16, 4, -0.3, -28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: 2639a (base 13) to base 6\nAnswer: 1304230","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -14 (base 5) in base 11?\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 176*(108\/(-64))\/(-27)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let d(u) = -2*u**2 - 44*u - 185. Let t be d(-6). Let r(b) = -9*b + 55. Calculate r(t).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 216 + -112. Let c = 131 - m. Solve 2*z = 35 - c for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-5*sqrt(120)\/(sqrt(16)\/sqrt(2)))\/(5*sqrt(6)\/sqrt(8)).\nAnswer: -2*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 756.6385 - 757. Let u = d - -0.37. What is u rounded to 3 dps?\nAnswer: 0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 511 and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -73\/352 and -95\/6376.\nAnswer: 280544","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 162939 from -2874061445.\nAnswer: -2874224384","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let l(u) = -u**2 - 9*u - 18. Let p be l(-4). Solve 3*m - 3 = p*k + k, 2*k + 3*m = 18 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(x) = -10*x + 117. Suppose -9*z + 18*z = 108. Let u be i(z). Put 4, 1, u, 5 in decreasing order.\nAnswer: 5, 4, 1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -74558127*q**5 + 4*q**3 + 1295500102*q**2 wrt q.\nAnswer: -4473487620*q**2 + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 216 and 31368?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: -5+0.19723\nAnswer: -4.80277","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -21\/13 and 66\/(-32)*(-104)\/(-1014).\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 562506502 a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve -833*t + 10060 + 13882 + 8545 = 0 for t.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 2*c*h**3 + 2*c*h**2 - 101*c*h + 989*h**3 - 4432*h**2 - 6568*h - 24 wrt h?\nAnswer: 12*c*h + 4*c + 5934*h - 8864","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 798107?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -1.2481 + 0.1711. Round p to 0 decimal places.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 61*h = 57673 + 8329. Calculate the remainder when h is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 3558, 3553, 3548, 3543, 3538, 3533?\nAnswer: 3528","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -9105.76825 rounded to the nearest one hundred?\nAnswer: -9100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Expand s + 2*s**4 + s**4 - 4*s**4 + (91*s - 91*s + 2*s**2)*(-5*s - 3*s**2 + 5*s).\nAnswer: -7*s**4 + s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Put 14, 8, 0.2, 1\/2, -2\/3 in decreasing order.\nAnswer: 14, 8, 1\/2, 0.2, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0, 18, 34, -5, 1 in descending order.\nAnswer: 34, 18, 1, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4521 = 15*n - 2244. What is the hundreds digit of n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(b) = -8*b + 9. Let m be j(6). Let r be 8\/20 + m\/(-15). Suppose -2*h + 2*i = 13 - 51, -r*h - 2*i = -57. Does 9 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 298086?\nAnswer: 2, 3, 49681","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let z(m) be the first derivative of -45*m**5 + m**3\/3 + 225*m**2\/2 - 305. Find the second derivative of z(w) wrt w.\nAnswer: -2700*w**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -569807, -569806, -569805, -569804, -569803, -569802?\nAnswer: -569801","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -218 + 223. Solve 3*h - t*h - 2 = 0, 5*h = l - 3 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(r) = 7*r**3 + 4*r**2 - 5*r - 9. Let v(z) = -10*z**3 - 6*z**2 + 8*z + 13. Let w(p) = 7*o(p) + 5*v(p). Suppose 24 = -5*s - 16. Let b = 5 + s. What is w(b)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 24931?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in 5\/4, 389, 3, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 948543?\nAnswer: 3, 23, 59, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve -191 - 75 = 27*l - 23 for l.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: 5*-0.8814\nAnswer: -4.407","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let k(l) = -5 + 1 - 4*l + 0. Suppose 3*u = u + 28. Calculate the remainder when u is divided by k(-3).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 350 is divided by 76.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 7326 and 43284672.\nAnswer: 666","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 8239?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let j(y) = 119*y + 1672. Calculate j(-14).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 819793 and 874.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((x**3 - 1 + 1)*(x - 2 + 2) - 2558*x**4 - 3605*x**2 + 3605*x**2)*(-x + 2 - 2).\nAnswer: 2557*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 22 - 36 + 14 - 618*n**2 to q*n + a + b*n**2 and give b.\nAnswer: -618","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {u: 3, m: 2, g: 2, b: 3, l: 4, q: 4}. Give prob of picking 2 l and 1 g.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*h - 113 + 14. Suppose 5*b - 13 = -h. Let n be b - (4 + -10 - 1). What is the highest common factor of n and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 38221917?\nAnswer: 3, 12740639","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 288 and 96?\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 2*(-6)\/(-16) + 3289\/52. Find the third derivative of -b*m**3 + 20*m**2 - 5*m**2 + 64*m**3 - 7*m**5 wrt m.\nAnswer: -420*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 696953?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence oo when two letters picked without replacement from {o: 2, v: 4}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 1186829262 a multiple of 102?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 2\/303 <= 2\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -4 - -101733.\nAnswer: 101729","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let m be ((-1 - -22)\/3)\/1. Find the second derivative of -m*z**4 - 3*z + 12*z**4 + 7*z**4 - 4*z wrt z.\nAnswer: 144*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 2\/55  (b) 2\/3  (c) -1\/4  (d) 1  (e) -0.2  (f) 1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 14*s = 7*s + 119. Put 1, 5, -3, s in descending order.\nAnswer: s, 5, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of -243, -227, -183, -105, 13?\n\"Answer: n**3 + 8*n**2 - 15*n - 237","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 22 a factor of 28763?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 4\/((2 + 1)\/48). Let w = -38 + h. Is w a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 e when three letters picked without replacement from {m: 1, r: 3, i: 3, q: 4, e: 3, u: 1}.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let x(b) = -b**2 - 5*b - 2. Suppose 4*f + 1 = -15. Let r be x(f). Is 24 a factor of 2\/r + (-69)\/(-3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -1095 + 1101. Solve 0 = -5*p + 15, -c = -3*i + 6*i - 2*p for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 531314 is divided by 239.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*g - l + 10 = 0, 104*g - 2*l = 103*g + 1 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let c(u) = 47*u**3 + u**2 + 2*u + 1. Let k be ((-9)\/(-18))\/((-1)\/4) - -1. Let j be c(k). Let p = j + 38. Let n(m) = -m**2 - 8*m + 10. Calculate n(p).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 11853 is divided by 76?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Divide -1390 by 3.\nAnswer: -1390\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 163 and 382072.\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 19 (base 10) in base 4?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Determine g so that 1134*g**5 + 273384*g**4 + 293642*g**3 - 85496*g**2\/3 - 128552*g\/3 + 7040 = 0.\nAnswer: -240, -1, -11\/21, 2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -77 + 80. Let a be (-2)\/y*(-2937)\/(-178). Let p(x) = 2*x**2 + 20*x - 17. Calculate p(a).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(z) = -z**3 - 13*z**2 + 13*z - 9. Let g be m(-14). Let w = 1 - g. Let s be (10\/w)\/((-6)\/12). Let y(f) = -f. Let q(i) = -2*i - 1. Calculate s*y(k) - 2*q(k).\nAnswer: -k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: 10\/(-16) + 15\/(-40)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 29789 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -31 + 28. Which is the closest to -2?  (a) -2\/3  (b) 0.5  (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(i) = 2*i. Let o(w) be the second derivative of 7*w**5\/120 - 2*w**3\/3 + w. Let z(y) be the second derivative of o(y). Determine z(d(k)).\nAnswer: 14*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1 + 1 + 0 - 2*m**2.\nAnswer: -2*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 4462 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 0.2973 rounded to 2 decimal places?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-7 - (0 - (2 - 2))) + 2.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 37 a factor of 761?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -4, -3, -8, 1?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 360 - 219 - 187 = 45*q + 899 for q.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -603287, -603220, -603153, -603086?\nAnswer: -603019","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 4131343 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 161772 is divided by 433.\nAnswer: 263","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 39.3 + -39.7. Put 0.3, -0.2, t in decreasing order.\nAnswer: 0.3, -0.2, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of 23, 11, -7, -31, -61, -97?\n\"Answer: -3*u**2 - 3*u + 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 0.03 + -2.03. Let p be (42\/175*(-10)\/(-42))\/((-6)\/5). Which is the third smallest value?  (a) p  (b) 2\/23  (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(c) = -3266*c - 32. Let d(r) = 9800*r + 90. Calculate -6*d(o) - 17*g(o).\nAnswer: -3278*o + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 149184062?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -256779459*d - 552542420.\nAnswer: -256779459","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -32 - -32. What is the fourth smallest value in -1\/6, 2\/5, -15, p?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -3 + 5 + -10 + 227 + -203?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let s(c) = -c**2. Let y(d) be the second derivative of d + 0*d**2 + 0*d**3 + 0 + 1\/4*d**4. Determine s(y(m)).\nAnswer: -9*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: -23293624 * 10\nAnswer: -232936240","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve -730*a - 1072 = 19368 for a.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between -2.696242 and -2?\nAnswer: 0.696242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: -651 + 644 + -6 + 0\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -11*y + 3*y + 72672 - 1496 = 0. List the prime factors of y.\nAnswer: 7, 31, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -11.6 + 0.6. Let o = -9 - u. Let t = 2.8 - 4.8. What is the closest to -0.1 in t, -11, o?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -w = -4*g - 3, -1 = -2*w + 1869*g - 1866*g for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-120)\/(-396))\/(900\/7920).\nAnswer: 8\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 96140867.\nAnswer: 79, 1216973","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -31a - 5?\nAnswer: -322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 585 minutes after 7:18 PM?\nAnswer: 5:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (3 - 0) + 15 + -13. Suppose v = -p + 4, 0 = 2*p + 3*v + l - 11. Is 6 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 49?  (a) 30\/11  (b) -2  (c) -11  (d) -36\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 7282*r**2 + 7273*r**2 - 14558*r**2.\nAnswer: -3*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let t(m) = -3*m**3 - m - 1. Let r be t(-1). Let b be 171\/15 - 9\/(-15). Let q = b + -7. Solve -r*c = 2*c + q for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 685 minutes after 5:31 AM?\nAnswer: 4:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3637 - 443 = -170*m for m.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"}
{"text":"Question: What is -12256066 + 348102?\nAnswer: -11907964","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3*(0 + 5 + -1 + sqrt(1573))*-5.\nAnswer: 60 + 165*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 53319.99kg in tonnes?\nAnswer: 53.31999","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -15 + 25. Calculate the remainder when v is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 3*i**2 + 0*i**2 - 2*i**2 + i - 2*i**2 - i + (-3 - 1 + 6)*(3*i**2 - 3*i**2 - i**2) - 2*i**2 - 2 + 2 + 1 + i**2 - 1 + 2*i**2 - 3 + 3.\nAnswer: -2*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 10000011010 - 100110111110?\nAnswer: -10110100100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of -1550, -5116, -11060, -19382, -30082, -43160?\n\"Answer: -1189*g**2 + g - 362","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from tdtreddedddtddeddte. Give prob of sequence ddr.\nAnswer: 5\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*i - 59 - 58 = 0. List the prime factors of i.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many milligrams are there in 45\/8 of a gram?\nAnswer: 5625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Convert 66190.9 centimeters to kilometers.\nAnswer: 0.661909","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((r\/(r*r**0))\/r)\/r)\/(r\/(r\/r**(1\/7))))\/((r**(1\/3)\/r)\/(r**(-2\/13)*r)) assuming r is positive.\nAnswer: r**(-172\/273)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (11\/(-2))\/((-3)\/18). Let x = -1 + 3. Let g = x - -1. Calculate the highest common factor of g and d.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(h) = -2*h. Let g = 273 + -270. Let z(c) = c**2 - 2*c - 1. Let f(o) = 2*o**2 - 9*o - 3. Let q(k) = g*z(k) - f(k). Calculate j(q(s)).\nAnswer: -2*s**2 - 6*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -14 = 7*i - 35. Let h be (-2)\/(162\/(-80) + 2). Suppose i*v - t = 40, -6*t + h = 5*v - t. What is the tens digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(k) = k**2 - k - 2. Let w be g(-2). Suppose 0 = -4*x - 5*y - 24, 0 = -x - w*x + 2*y + 3. Which is smaller: -1\/4 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 7417 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -46.39609 and -0.9?\nAnswer: 41.756481","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 46\/(-138)*(18\/2)\/3?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 24140 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 25427 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 15*b**3*r**3 - 18*b**3 + 14*b*r**3 - b*r**2 + 7*b wrt b?\nAnswer: 90*b*r**3 - 108*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2 + (sqrt(3) - sqrt(33)\/(sqrt(539) + sqrt(11)) - sqrt(48)*4)**2.\nAnswer: 44051\/64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -0.01 + -3.99. Let u(c) = 4*c - 23. Let r be u(9). Suppose -3*g = v + 8, -12*g + r*g - 2*v = 9. What is the second smallest value in p, g, -0.4?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4, 28, 2150.\nAnswer: -4, 28, 2150","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 95331 is divided by 37.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Does 789 divide 614114706?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -203*v - 111.\nAnswer: -203","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let 7\/2*k + 1\/2*k**5 - 3 - 4*k**3 + 3*k**2 + 0*k**4 = 0. What is k?\nAnswer: -3, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -2632 + 2632. Is -14\/55 <= z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -95926 and 0.2?\nAnswer: -19185.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Convert -23 (base 6) to base 13.\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 3271\/549 + -255\/61. Let 2\/9*d**2 - 10\/9*d**4 - v*d + 14\/9*d**3 + 8\/9 + 2\/9*d**5 = 0. What is d?\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -70.97 + 65. Let i = n - -6. Suppose -3*f + 5 = -8*f. Which is smaller: f or i?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 125991461 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 457903 is divided by 410?\nAnswer: 343","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -3233 - -40191. Is f a multiple of 34?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 144*(-4 - -7)\/6 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(i) = 3*i + 90. Let h be o(8). Suppose 0 = 2*g - h - 154. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 16 + -20 - (-2 + (4 - 2)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -51*g + 44*g + 3745 = 0. What are the prime factors of g?\nAnswer: 5, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 940389 to the power of 1\/3, to the nearest integer?\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*n - n = -5*i + 20, -15 = 2*i + 3*n. Solve 3 = -3*k + 3*h, i = 5*k - 2*h + 6*h + 32 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 7361 (base 10) to base 7\nAnswer: 30314","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -362523 (base 7) in base 13?\nAnswer: -23c28","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Divide 696 by -696.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 508631, 508607, 508583, 508559?\nAnswer: 508535","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.1 in 1\/3, 11\/9, -43?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*m - 13 = -u, 10*m - 13*m - 4*u - 23 = 0 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*i + 27 = -33. Suppose r + 0 = i. Suppose j - v + 2*v = r, -3*v = 12. Is j a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 1  (b) 2442  (c) -0.1  (d) 0.05\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (a\/a**(3\/2))\/a**(-1\/14) assuming a is positive.\nAnswer: a**(-3\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -0.131023 - -83.086323. Let g = 83 - c. What is g rounded to two decimal places?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0 - 3 - (-2 - -4).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -1 + 2200?\nAnswer: 2199","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -s + 5 + 13. Let l(u) = 7*u. Let r(i) = i. Let o(g) = s*r(g) - 2*l(g). Let y(c) = -2*c**2. Determine o(y(x)).\nAnswer: -8*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 528 minutes before 1:01 PM?\nAnswer: 4:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is eleven halves of a milligram in micrograms?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2831 + 2061 + 3991 = 423*f for f.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {r: 1, p: 8, z: 3, v: 3, e: 2, f: 1}. What is prob of picking 1 f, 1 e, and 2 v?\nAnswer: 1\/510","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Convert -31657 (base 9) to base 12.\nAnswer: -1015a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 1019?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Does 6 divide 82902?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let o(i) = 17*i - 1132. Calculate o(60).\nAnswer: -112","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -0.23 - -2.23. Let m = 6 + -8. Which is the third biggest value?  (a) 2\/5  (b) z  (c) -3\/7  (d) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(w) = 7*w**2 - w + 1. Let y(b) = 15836*b**2 - 10*b - 6911. Let g(n) = 10*v(n) - y(n). Differentiate g(i) wrt i.\nAnswer: -31532*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 191169 + -10514364\/55. Let t = -23429\/55 - -426. Calculate the common denominator of t and s.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*a - 20 = 5*u + 3*a, -25 = 3*u + 2*a. Let y = u - -35. Does 10 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -39*f = -40*f - m, 3*m + 16 = f. Let y(p) = -3*p**2 + 9*p**2 - 86*p - f*p**2 + 86*p. Let x(w) = -166*w. Give y(x(r)).\nAnswer: 55112*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-6*(sqrt(288) + -2 + sqrt(288) + -1 + (sqrt(2) - (sqrt(288)*1 - sqrt(2))) + sqrt(8)*-2))**2.\nAnswer: -2160*sqrt(2) + 7524","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 35*(28\/5 + -6). List the prime factors of (-4)\/u*1555 + (-2)\/7.\nAnswer: 2, 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 25\/20818568 and 157\/78069630.\nAnswer: 312278520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10*y + 1440 = 5*y. Suppose -364*r + y = -356*r. Let k be 2\/4*(7 + -1). Solve -3*d = -d - 2*a + r, a - 2 = -k*d for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 0\/(-4) - 4 - 1996. What is n rounded to the nearest ten thousand?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(j) = 3*j**3 - j**2 - j - 3. Let k(t) = -7*t**3 + 2*t**2 + 2*t + 7. Let i(s) = -5*b(s) - 2*k(s). Calculate the remainder when 21 is divided by i(-2).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -24 - -18. Let x be 27\/18*(-92)\/t. Let i = 29 - x. Is 6 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (g**(2\/53)*(g**2\/g)\/g)**(-1\/4) assuming g is positive.\nAnswer: g**(-1\/106)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is -2*((-20010)\/2900)\/(39\/(-65)*(-1)\/(-1))?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2*sqrt(25)\/(-3*sqrt(5))*2 + 1*sqrt(25)\/(sqrt(270)\/sqrt(6)))**2.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -268*r**2*w**2 - 2*r*w**3 - r + 103*w**3 - 4*w with respect to r.\nAnswer: -536*r*w**2 - 2*w**3 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 18948967?\nAnswer: 31, 611257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 - 5 + 4)*(-14*j**4 + 2*j**4 - 12*j**4).\nAnswer: 24*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 595099032?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 217 minutes after 4:16 PM?\nAnswer: 7:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*k - 0*k - 4*r + 26, 4*k = -r + 24. Let i(c) = 9*c. What is the remainder when i(1) is divided by k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -215*o**2 - 424 + 375*o**2 - 208*o**2.\nAnswer: -48*o**2 - 424","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 16091 is divided by 351?\nAnswer: 296","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 3752 and 1787128.\nAnswer: 119737576","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*q - 40 = -0*q - v, 0 = q - 2*v + 3. Let u be 34\/119 + 19\/q. Suppose -u + 12 = 3*a. Solve a*h = 4*d + 12, 5*d + 0 = h - 4 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -6*-0.04.\nAnswer: 0.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: -9 - (-12 + (9 - 1) - (-4 + 9 + 4))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (3684\/2149)\/(24\/(-420)).\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let p(n) = -13*n**2 - 17*n + 0*n**3 - 9*n**3 + 7*n**3 - 29 + 0*n**3. Is p(-10) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -0.044 + 30.044. Let x = h - 29.6. What is the closest to 1\/4 in x, 5\/6, 0?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1\/5 in 51, -3, -6, 8\/37, 1\/10?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let l(r) = 9 - 5 - r**2 - 2*r + 10*r. Let a be l(12). Let g be 2*a\/8 + 2. Sort 1, g, -4 in descending order.\nAnswer: 1, -4, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(m) = -1 - 5*m - 16*m**2 - 2 - 1 - 1. Let x(l) = -15*l**2 - 6*l - 6. Let z(t) = -4*s(t) + 3*x(t). Is z(5) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 23 + -10. Let v = 13.2 - a. Let g = -0.1 + v. What is the biggest value in g, -0.3, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(x) = -x**3 - 3*x**2 + 27*x + 88. Determine q(-5).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let w(y) = 27*y - 7. Is w(14) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-1121 + 328 - 1342)*(4*q + 2*q - 4*q) to u*q + a and give u.\nAnswer: -4270","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4 - 7 + 10*b**4 - 9*b**2 - 4*b**4 + 6 - 3*b**3 + 3*b.\nAnswer: 3*(b - 1)**2*(b + 1)*(2*b + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -1263 + 1262.82. What is the nearest to 0 in q, -2\/9, -2\/7?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-1 - 3)*(12 + -13). Solve -r + 4 = 3*g, -2 = -r + 3*g - m for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 31549565?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let x(c) = 2*c - 4. Suppose -6*r = -2*r - 2*v - 32, -44 = -4*r + 5*v. Let q be 4\/r - 35\/(-15). Let a be x(q). Solve 0*u - a*u = 2 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0034250098 rounded to 4 dps?\nAnswer: 0.0034","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let b(v) = -9*v**3 - 4*v**2 + 5*v + 4. Let n be b(-4). Suppose n = -u + 9*u. Let k = u - 42. List the prime factors of k.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(x) be the first derivative of -10*x**3 - x**2\/2 + 2*x + 11. Let m be y(1). Let r = -24 - m. Solve 0 = -r*j - 0*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(n) = 270968*n - 541844. Give m(2).\nAnswer: 92","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -116749 or -116954?\nAnswer: -116749","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*i - 6*i + 108 = 0. Sort 4, i, 3 in descending order.\nAnswer: i, 4, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(z) = 2*z - 10. Let d(p) = -p**3 - 15*p**2 - 15*p - 8. Let m be d(-14). Let r be w(m). Are r and 2 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 10*d - 73 + 53. Suppose 3 = -d*h - h - 2*t, -5*t = 15. Solve o - h = -0*o for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (9 + 4 - 10)*(1 + 0 + 1)*(3*m + 2*m - 3*m).\nAnswer: 12*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: How many millennia are there in 13.927152 months?\nAnswer: 0.001160596","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 676797, 676794, 676789, 676782, 676773?\nAnswer: 676762","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is (-8)\/(-32) + 279\/36?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 104 and 52?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -5 - 4\/6*-8.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(i) = i**2 - 12*i - 1. Let a = -800 + 806. Calculate f(a).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 32 = 4*f + 4*m - m, 27 = 3*f + 3*m. Find the second derivative of x**f - 1 - 2*x**5 + 1 - 3*x wrt x.\nAnswer: -20*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 58 divide 84773156?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -g + 4*b = -14 - 6, -4*g + 5*b = -25. Solve g = k + 2*l - 11, -2*l + 2 = -2*k + 6 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -61\/21 - -3. Let l = 2 + -1.8. What is the third smallest value in l, 5, j?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -4\/179 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let u(s) = 3*s**2 + 2*s + 2. Let f be u(-2). Suppose 3*p = 3*y, y - 4*y = -5*p + f. Solve -y*w = 22 + 3 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 11*u**3 - 8 + 8.\nAnswer: 11*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from xpsttsul. What is prob of sequence lxss?\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence yyl when three letters picked without replacement from {l: 1, y: 3}.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*q + 15, -4*q + 4 = j + 2*j. Let o = j - -11. Suppose -14*y - 35 = -o*y. What is the remainder when 33 is divided by y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(t) = -5*t - 3. Let o(m) = 2*m**2 + 28*m - 28. Let f be o(-15). Suppose 6 = -f*d - 4*d. Let v(g) = g. What is d*s(q) - 6*v(q)?\nAnswer: -q + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (0\/(76\/(-38)))\/(-11).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -3?  (a) -2\/27  (b) 84  (c) 4551\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let k be ((-3)\/(-2))\/(9\/(-12)). Let p = k + 4. Suppose -p*w + 1 = -w. Solve 4*d - w = 3*r, -3*r + 2*d = 10 - 5 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*n = -w - 2, 5*n = 2*n + 6. Let t be -5 + 2 + 6 + 2. Let b(c) = -t*c + c + 11 - c + 3*c. Calculate b(w).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 0.51 - 348.51. Let b = k + 351. What is the closest to -5.9 in 0, 4, b, 4\/5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 s, 1 j, and 1 f when three letters picked without replacement from ifjojfsff?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: How many centimeters are there in one fifth of a meter?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -15*j = -110 + 5. Suppose 3*w = w + 8. Let d(z) = 0*z - j*z + 3*z - w*z. Let x(y) = -y. Give x(d(k)).\nAnswer: 8*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let q(h) = 2*h**3 + 42*h**2 - h - 19. Let k be q(-21). Let b = 47.4 + -47. What is the nearest to b in -4, k, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 647868 is divided by 85.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let s(u) = 4*u**2 + 8*u + 1. Suppose 0 = 621*d + 148*d - 3076. What is the remainder when s(6) is divided by d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 1395?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 627.481kg in grams?\nAnswer: 627481","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 1792 and 6680.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 186aa0 + 6?\nAnswer: 186aa6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2616 = 5*l + 4*r, 2064 = 4*l + 6*r - 10*r. Suppose 3*v = 23*v - l. Suppose 5*p - 3*a = p + 412, 2*a = 0. What is the remainder when p is divided by v?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of 7, 19, 37, 61, 91?\n\"Answer: 3*v**2 + 3*v + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -3 + -2 - 0 - (-2 - 0).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let w(f) = 37 - 37 - 3*f + 2*f. Give w(-9).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -1 + 52b?\nAnswer: 52a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 2 + 2201?\nAnswer: 2203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 2792 - 2787. What is the highest common factor of b and 1945?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*o + 60 = 96. Calculate the least common multiple of o and 19.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -18 + 13. Let t(p) be the first derivative of p**3\/3 + p**2 - 4*p - 2. What is the units digit of t(m)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(o) be the first derivative of -31*o**5\/5 + 9*o**2\/2 - 29. Find the second derivative of q(l) wrt l.\nAnswer: -372*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 115\/6 and -2\/195731?\nAnswer: 1174386","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 869 and 603718?\nAnswer: 6640898","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 11370 and 510?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -163*n**5 + 8*n + 1 wrt n?\nAnswer: -3260*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 13*w - 351 - 65. Calculate the greatest common factor of w and 760.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*f + 5473*m = 5474*m - 27, m - 12 = 2*f for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 404 + -403. Suppose 1 = -m + 2. Suppose 4*x = -12, -3*f = -3*x + 4 - m. Which is the nearest to 2?  (a) d  (b) f  (c) 1\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of -230572, -461255, -691928, -922585, -1153220?\n\"Answer: t**3 - t**2 - 230687*t + 115","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: 2170 (base 14) to base 5\nAnswer: 141112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 5451205 divided by -7?\nAnswer: -5451205\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 12994456 - 21*a**2 + 37*a + 0*a**3 - 2*a**3 - 12994454 to t + g*a**2 + l*a**3 + j*a and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 2 + (-68)\/18 - -2. Let i be (-22)\/14 + (1 - -1). What is the nearest to 0.1 in k, 2, i?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -99*v - 162*v - 166*v - 161*v - 169*v + 919*v - 163*v.\nAnswer: -v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:28 AM and 3:02 PM?\nAnswer: 274","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1 = 5*o - 3*n, -5*n = -104*o + 107*o + 13 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 26*x + 284 = 2*m + 24*x, -4*m = 3*x - 519. What is the highest common factor of m and 1899?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 471 - 466. Let a(m) = m**3 + 5*m**2 - 10*m - 20. Let v be a(-6). Solve -v*q - 29 = -n*w - 1, -3*q + w - 10 = 0 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (22 - 20) + (-3 - -8)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2985 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: What is 0.3 times -1960?\nAnswer: -588","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of -332895, -332871, -332847, -332823, -332799?\n\"Answer: 24*b - 332919","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let c(p) = 278*p - 832*p + 275*p + 275*p. Let b(h) = 4*h**2 + h. What is b(c(j))?\nAnswer: 64*j**2 - 4*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let d(o) = -2*o**3 - 393*o**2 + 994*o + 75. Give d(-199).\nAnswer: 274","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of -1383701, -2768283, -4152863, -5537441, -6922017, -8306591, -9691163?\n\"Answer: n**2 - 1384585*n + 883","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 3\/(-7) - (-114)\/21. What is the second smallest value in -1, 2, 1, l?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 177 divide 500658483?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let p(k) be the second derivative of 25*k**3\/6 - 35*k**2 + 38*k - 2. What is the derivative of p(c) wrt c?\nAnswer: 25","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -20 divided by 126336.\nAnswer: -5\/31584","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 29890921 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: Is 1181 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (32 - 52) + 19 + -21.\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Sort 18, 257, -39, 5, -9, -2, 1.\nAnswer: -39, -9, -2, 1, 5, 18, 257","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -8 - -28. Suppose 9*l = 4*l - s, l + 20 = 2*v. Solve 0*m = 5*r + 3*m + 32, -r + 3*m = -v for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*u - 4*u - 1 = -3*h, -5 = h - 2*u. Suppose -x = h*x - 512. Is 39 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -9*h + 35699 - 6944. Does 40 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 953 + -908. Suppose -5*q - o + 55 = 0. Which is the fourth biggest value?  (a) q  (b) 7  (c) 0.3  (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -0.07639 - -16.38739. What is h rounded to one decimal place?\nAnswer: 16.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -59\/73777 and 40\/18003.\nAnswer: 3762627","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1386 is divided by 125?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 4521 and 440319?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let n(k) = -2*k**2 + 3*k - 5. What is n(6)?\nAnswer: -59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 872 is divided by 857.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-12)\/(-10)*(-20)\/(-6). Find the first derivative of -p + 0 + 0 + 3 + i wrt i.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -4, -3, 221, 1408 in decreasing order.\nAnswer: 1408, 221, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let k(b) = -15 + 7 + 3 + 5 + 74*b. Let p(i) = -3*i**2. Determine p(k(d)).\nAnswer: -16428*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let c(f) = -13*f + 167. Let k be c(13). Let n = -10 - -7. Sort k, n, 1.\nAnswer: n, k, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(p) = 6*p + 5. Suppose -30 + 75 = 5*o. Suppose -5*y + o*y = 40. Let d(k) = 3*k + 2. Let i(c) = y*d(c) - 4*a(c). Let b(u) = -3*u. Give i(b(s)).\nAnswer: -18*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -97, -198, -299, -400?\nAnswer: -501","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let z(u) = -u**2 - 8*u - 4. Let o be z(-7). Suppose 4*w - o*p - 4 - 20 = 0, 0 = -w - 5*p - 17. Solve -5*v + 21 = w*k - k, -2*k = -6 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many nanometers are there in 49\/5 of a micrometer?\nAnswer: 9800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -3 plus 0.0205468138318?\nAnswer: -2.9794531861682","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -22124 - -130?\nAnswer: -21554","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -m + 5*w = -6*m + 650, 642 = 5*m + 3*w. Suppose -415*j = 9*j - 7632. What is the highest common factor of j and m?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*q - 3*q = 4*v, v + 15 = 5*q. Suppose 3*o = -2*r + 2, -4 = o - r + 2. Let a = o + q. List the prime factors of a.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -65*i - 15*i = -13*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1\/16 in -2441, 5, 0.1, 1\/11?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 14214b (base 16) in base 11?\nAnswer: 821192","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 864 and 243.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -81 + 44. Let l = -35.45 - m. Let t = l + -1.4. What is t rounded to one decimal place?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (22\/4 - 6)*(4\/7)\/(-2). Sort 0.13, n, 8\/7 in descending order.\nAnswer: 8\/7, n, 0.13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*m**2 + 3359608*m + 90707958.\nAnswer: 2*(m + 27)*(m + 1679777)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is -625781335722.1 take away -0.8?\nAnswer: -625781335721.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -10 + a?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let s(b) = -b**2 + 5*b**2 - 35 + 37 - 8*b. Let l be s(3). Solve -5*v + 2 = g + l, -v + 5*g = -8 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be ((-10)\/1)\/(-8 - -9). Let p be 2\/((-1)\/(-3 - -7)). Is 10 a factor of 385\/14*p\/d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1320331 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -12*l - 25 = -7*l. Let k(w) = -7*w**3 - 4*w**2 - w + 5. Let t be (-8)\/(-4) + -1 + 1. Let c(h) = -3*h**3 - 2*h**2 + 2. What is l*c(g) + t*k(g)?\nAnswer: g**3 + 2*g**2 - 2*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 2327 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of (-5 + 1 - -5) + (54 - 3) and 10.\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 2 + -3. What is the units digit of 12*(-1 - (-1 + w))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(t) = t + 4*t + 0*t - 4 - t**2. Let x be w(3). Suppose 0 = -2*s - x*s - 20. Put s, 5, -1 in descending order.\nAnswer: 5, -1, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(13)*1 + sqrt(13) + -2 + sqrt(13) + -1 + (sqrt(26)\/sqrt(2))**2.\nAnswer: 10 + 3*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let x(f) = 0*f**2 - f**2 - 4*f + 7*f**2. Let h be x(5). Let p = h - 93. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 149\/9 - 409\/18. What is the common denominator of (-141)\/(-30) - (-12)\/4 and n?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 148 divide 9620?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Convert 8973.81 millennia to months.\nAnswer: 107685720","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let h(g) be the second derivative of 23*g**3\/3 + 2*g**2 - 2*g. Let q(s) = -s. Let t be q(-6). Let i be h(t). What is i rounded to the nearest one hundred?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: -2 (base 15) to base 10\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -799*j = -898*j. What is the fourth smallest value in -5, j, 212, -2\/5?\nAnswer: 212","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*j - 4 = -n + 5, 14 = -4*j + 2*n. Suppose 3*i = 3*x - 2*x - 1, 4*x - 2*i - 4 = 0. Let c = -2 + x. Do c and j have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-272 + -1)*(-1)\/3. Let q = 92 - n. Let m = -17 - -12. Sort -2, m, q in decreasing order.\nAnswer: q, -2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*q + 5 = -q + i, -17*i - 17 = 13*q - 36*i + 20*i - 4 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 1186867 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -4 + 6. Let v be n\/((-2)\/(-2)) + -1. Let l = 1\/43 + 32\/473. Is l at least v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -22 = -4*r - 6. Let x(c) = r*c - 4*c + 4*c. Let s(z) = 21*z. Give 2*s(w) - 11*x(w).\nAnswer: -2*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 15493.677 months in centuries?\nAnswer: 12.9113975","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -1.35 - -1.349939. Round y to five decimal places.\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 169371098 divided by -5563?\nAnswer: -30446","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 4162 is divided by 462.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -43\/1155 and -58*(2\/99)\/(200\/150).\nAnswer: 1155","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 144988797*o**4 + 115743548 wrt o.\nAnswer: 579955188*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 3*((-4)\/(-2))\/(16\/(-8))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 5.606 - 3.46. Round l to 0 dps.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 243250 and 112?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let h(s) = s - 8. Let n be h(8). Let x = -2 + n. Let p be (-2)\/4 - (-3)\/2. Which is greater: p or x?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 454 minutes after 9:36 AM?\nAnswer: 5:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 18287 - 7795. Is u a multiple of 86?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in 1\/15 of a millennium?\nAnswer: 800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -39*i - 1170 = -45*i. Calculate the smallest common multiple of 195 and i.\nAnswer: 195","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4\/5, -0.0749, 1.5, -2.\nAnswer: -2, -4\/5, -0.0749, 1.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-46*x + 0*x + 11*x + x**3)*(-6*x + 7 - 7).\nAnswer: -6*x**4 + 210*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let b(z) = -3*z - 24. Give b(0).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*y = 6*y - 81. What is the highest common divisor of 216 and y?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*y + 2*y + 4 = 0. Let p = 233\/6 + -39. Let l = -1069.3 + 1069. Which is the second biggest value?  (a) y  (b) l  (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -2\/7, 9, 1, -5 in descending order.\nAnswer: 9, 1, -2\/7, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 6\/5*3*(-45)\/27?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 398?\nAnswer: 2, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let m(v) = 243*v - 195*v - 49*v + 6. Let i(z) = -4 + 6 - 1. Determine -14*i(j) + 2*m(j).\nAnswer: -2*j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 24*y**3 + 3 + 30*y**3 - 52*y**3 - 3 + 258*y to z*y**3 + b*y + i + w*y**2 and give b.\nAnswer: 258","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let j be -1 + (-105)\/(-91) - 76\/(-13). Suppose j*v + 6 = 18. Solve y = -g + 2, -y - 2*g = -8 + v for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 1494544?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 1362947?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(448)\/(-2*sqrt(648) - sqrt(648)))\/(-3*-2*sqrt(72)).\nAnswer: -sqrt(7)\/486","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of 13598, 18833, 24066, 29297, 34526, 39753?\n\"Answer: -y**2 + 5238*y + 8361","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence uu when two letters picked without replacement from {u: 5, d: 14}.\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0, 0.5, -9.885, -4.\nAnswer: -9.885, -4, 0, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 232, 466, 700?\nAnswer: 934","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let d(p) be the third derivative of 11*p**2 + 0 + 17\/60*p**5 - 2\/105*p**7 + 0*p**4 + 0*p**3 + 0*p + 0*p**6. Find the third derivative of d(k) wrt k.\nAnswer: -96*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 5\/3 in 291, 15\/8, -4, -3\/2?\nAnswer: 15\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: -201323 divided by 5\nAnswer: -201323\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:05 AM and 2:42 PM?\nAnswer: 217","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let z(t) = 4*t - 13. Let k = 1 + 1. Suppose 4*p = a + k*p - 39, -3*a + 97 = -p. What is the remainder when a is divided by z(6)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-25)\/10*-1*(-66)\/770\nAnswer: -3\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 28\/(-180) - (472\/(-72) + 7)\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -1741 + 2970. What are the prime factors of u?\nAnswer: 1229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 104\/(-1404) + 212\/(-54)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 13\/8 of a litre in millilitres?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -811 + 37*v + 811 - 40*v**2 wrt v.\nAnswer: -80","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -1364.2436 + 18479.5.\nAnswer: 17115.2564","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 51?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.07 in 4, 2\/3, 5?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 115 and 34799.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of (-39)\/(-104) + 20781\/8?\nAnswer: 2, 3, 433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 1539755, 1539746, 1539745, 1539758, 1539791, 1539850, 1539941?\nAnswer: 1540070","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 3, -14, -4, -0.5?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Does 171 divide 17028?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((s*s\/s**(2\/17)*s)**(-1\/3)*(s\/(s*s**(1\/24)))**(-1\/23))**(-31) assuming s is positive.\nAnswer: s**(278969\/9384)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from kvlvkkkkzvklkv. Give prob of picking 1 k and 1 z.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*d = -d. Suppose d = 3*z + z - 4, 3*z = 3*v - 6. Solve 0 = v*g - 8*g - 10 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:05 AM and 6:00 PM?\nAnswer: 715","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is -1*((-9)\/((-45)\/(-20)))\/46?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (n\/n**(-22))\/n*n*n\/(n*n**(-9)*n)*n assuming n is positive.\nAnswer: n**32","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let l(r) = 72*r - 61. Let s(o) = 25*o - 20. Give -6*l(w) + 17*s(w).\nAnswer: -7*w + 26","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 0.1, 0.4, 1\/8, -21, -0.3, 12\/1889?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let q(w) = -30*w - 12. What is q(-4)?\nAnswer: 108","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {s: 6, j: 2, a: 2, i: 3, w: 3}. Give prob of picking 1 i and 2 j.\nAnswer: 3\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 54880 and 160?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 3119.9996147 + -3120. Round h to five dps.\nAnswer: -0.00039","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-42 - 16\/(-4))\/(-2). Suppose -5*q + w = -266. List the prime factors of q.\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 5 - 14742439441?\nAnswer: -14742439436","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence xy when two letters picked without replacement from xywwiyd.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -2*a*d**2*i + a*d**2 - 626*a - 19*d**2*i + 9*i wrt d?\nAnswer: -4*a*d*i + 2*a*d - 38*d*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 3224.8 meters in millimeters?\nAnswer: 3224800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let r(f) = f**3 - 7*f**2 + 8*f + 1. Suppose 5*w - 4*w = -2. Let h = w + 8. What is the tens digit of r(h)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 12830?\nAnswer: 2, 5, 1283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 5044896 to the nearest integer?\nAnswer: 172","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.1?  (a) 0.052  (b) -0.2  (c) 0.5  (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 508237 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 59 + -49. Let n = 20 + t. Let v = 29.9999905 - n. What is v rounded to 6 dps?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 3143482 is divided by 392931?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 0.34 - 4.54. Let b = -4 - k. What is the closest to 2\/5 in b, 2, 2\/3?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-27)\/12*(-6)\/9.\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (3\/21)\/(1\/(-4)).\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is (-132)\/(-39)*(-136)\/(-31824)*1014?\nAnswer: 44\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -97.6 and 26.774?\nAnswer: -2613.1424","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.000096936 rounded to six decimal places?\nAnswer: 0.000097","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let s(h) = -2*h + 2. Let q be s(4). Let z be (8\/168)\/((-1)\/q). Solve 0 - z*u**2 + 2\/7*u = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(t) = 5*t + 3. Let d(g) = -26*g - 16. Let b be ((9 - 16)\/7)\/(2\/(-6)). Give b*d(j) + 16*q(j).\nAnswer: 2*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -v**2 - 10*v - 38*v + 6*v + 86 - v**2.\nAnswer: -2*v**2 - 42*v + 86","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 11*c - 33 - 55. Let m = 0 + c. What is the lowest common multiple of 42 and m?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -19c9 (base 15) in base 13?\nAnswer: -270c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let k(p) = -4*p**3 + 18*p**2 - 4*p + 42. Let a(d) = -9*d**3 + 37*d**2 - 8*d + 83. Let z(u) = 3*a(u) - 7*k(u). What is the remainder when 78 is divided by z(15)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 2\/5 in -2\/11, 2\/49, -7, -5?\nAnswer: 2\/49","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -86*r - 269 - 394 = 111 for r.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 66 = -18*l + 13*l + j + 43, -2*l = -2*j + 14 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Sum -1686 and -178625943.\nAnswer: -178627629","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let w(q) = 3*q + 3. Let k(p) = -4*p - 4. Let h = -2 - -7. Suppose 52 = 6*y + 7*y. Determine h*w(o) + y*k(o).\nAnswer: -o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 277 minutes after 11:47 AM?\nAnswer: 4:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9 - 33 = -12*m. Suppose -m*u = 5*q - 118, 3*u + 5*q + 21 = 208. Sort u, -1, -4 in descending order.\nAnswer: u, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 16 and 1304.\nAnswer: 2608","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -2*r + 2 + 6 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Express (2 - 2 + 2*v**2)*(1 - 1 - v) + v - v**3 - v + 193 - 194 + 9*v**2 + 16*v**3 - 17*v**3 as n*v**2 + y*v**3 + p + m*v and give y.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -3\/346 + 529\/21106. Which is the nearest to 1\/4?  (a) -1\/3  (b) w  (c) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -5.3 - -5. Suppose -65 + 19 = 18*p - 28. What is the closest to p in y, -6, 3?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 14 + 1. List the prime factors of a.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 70 is divided by 2\/(-6) - 988\/(-39)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -a**3 + 0*a**3 - 2*a**3 + 22*a - 262*a.\nAnswer: -3*a**3 - 240*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -2d1 - 943?\nAnswer: -c24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 5 + -2. Suppose l = -z*l + 24. What is the units digit of l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: -2042 (base 11) to base 4\nAnswer: -222110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -32 + 53. Let f(p) = 2*p + 2. Let x(y) = y. Let o(k) = f(k) - 3*x(k). Let a(d) = 3*d - 7. Let j(v) = g*o(v) + 6*a(v). Let u(m) = 2*m. Calculate j(u(q)).\nAnswer: -6*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 7780032?\nAnswer: 2, 3, 13, 1039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: 21 divided by -1603\nAnswer: -3\/229","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 1732?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*u - 4 = 5*o + 28, -64 = -5*u + 3*o. Solve u*c + 4 = 12*c for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 18 + -2 + 4 - (171 - 174)?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"}
{"text":"Question: Let i = 80 - 72.7. Let p = i + -1.9. Let y = p + -5. Which is smaller: -1 or y?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 23 and 529?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-16)\/(-6))\/(84\/(-126)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let f(j) = j**2 - 32*j + 4. Let x(t) = -5*t**2 + 158*t - 22. Let k(r) = -33*f(r) - 6*x(r). Factor k(a).\nAnswer: -3*a*(a - 36)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(o) = -852 + 850 + 10*o - 13*o**2 + o**3 + 4*o**2. What is d(8)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose v = -4*r + 12, v = -v - 5*r + 18. Suppose -2*y + 99 = k + 29, -v*y = k - 140. Calculate the remainder when y is divided by 19.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -5, 3, 484, 1 in ascending order.\nAnswer: -5, 1, 3, 484","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-8)\/(8\/(-4) - 0). Let v be 2\/(-11) - (-204)\/33. Is d greater than v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 6acb (base 15) in base 10?\nAnswer: 22691","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*s**3 + 24828*s**2 + 322136*s + 297312 = 0.\nAnswer: -6194, -12, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -104 + -13254535?\nAnswer: -13255043","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 96730623?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 2536 to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -1\/2 or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1 + ((sqrt(27) + sqrt(3) + -5 + sqrt(12)\/sqrt(4)*-4)*-5 + 0)**2.\nAnswer: 624","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 12\/30 - ((-429)\/(-135) + -3).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -34904 + 604334 = 81*h. Solve -7102 = 12*w - h for w.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -1 + 4. Let j = -2 + s. Which is the closest to j?  (a) -0.4  (b) -2\/7  (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 3 + 7 + -15 + 6.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2926 = -4*p + 5*k + 745, -3*p - k = -2777. Does 44 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 135515088*n**3*q**2 - 2*n**2*q**2 - 56504960*n**2 wrt n?\nAnswer: 813090528*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 518483 = -0*g - g. Let s be 2\/((-518481)\/g - 1). Let h = -4318483 - s. What is h rounded to the nearest 1000000?\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(y) = y + 14. Let w be g(-10). Suppose 10 - 38 = w*t. Let v = 10 + t. Solve -v*c + 2 + 4 = 0 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, 10, 6 in increasing order.\nAnswer: -5, 6, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 12 = -8*v + 2*v. Which is smaller: 13 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of -65502, -262049, -589640, -1048275?\n\"Answer: -65522*d**2 + 19*d + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 91.3662128 + -44.366211. Let g = h - 47. What is g rounded to seven decimal places?\nAnswer: 0.0000018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(g) = 5*g - 1. Let l be (-1)\/(((-6)\/14)\/3). Is c(l) a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose d = 154 + 56. What is d rounded to the nearest one hundred?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1361 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let x(n) = -2*n - 3. Suppose 16*g = 63 - 31. Let l(m) = 4*m + g - 8 - 3 + 9. What is l(x(y))?\nAnswer: -8*y - 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -10 - -a?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: (4\/(-42))\/(3 + 14\/(-6))\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(h) = -3*h**2 + h + 3. What is z(3)?\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 99*m**5 + m + 161.\nAnswer: 1980*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -7276 + 611201\/84. Let o be (3\/6)\/((-175)\/(-10) - 7). Let w = k + o. What is the second smallest value in -6, 0.3, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1?  (a) 0.2  (b) -787\/15  (c) -36\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of 274369, 273977, 273331, 272437, 271301, 269929?\n\"Answer: s**3 - 133*s**2 + 274501","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 13736\/(-32) + (-1)\/(-4). Calculate the remainder when t\/(-15) - (-4)\/10 is divided by 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 98670 and 892749?\nAnswer: 429","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let u(i) = i + 11. Let a be u(-6). Suppose -415 = -q + r - 5*r, a*q + 5*r = 2060. Suppose -2*c + 4*f = -216, 0*c - 4*c = -f - q. Does 37 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -193*a + 185*a - 56 for a.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (v - 4*v + 5*v)*(384*v**3 + 6735*v**4 - 13468*v**4 + 6725*v**4) + 5*v**5 + v**5 - 2*v**5.\nAnswer: -12*v**5 + 768*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -14*z**2 - 21*z**3 - 15*z**2 + 29*z**2.\nAnswer: -21*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Does 499 divide 48671462?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Convert 110101 (base 2) to base 3.\nAnswer: 1222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -14 = -q - 100. Let l = q - -91. Suppose 5*o - 28 = 72. What is the greatest common divisor of o and l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 181024 to the power of 1\/5, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Expand (i - i - i + (0*i - 2*i + 0*i)*(-4 + 0 + 2) + 3*i + 3*i - 3*i - 2*i - 2*i + 5*i)*(0*i**3 + 0*i**3 - i**3).\nAnswer: -7*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 0.109 - 1936.109. Let y = 1269.8 + w. What is y rounded to the nearest 100?\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(m) = 13*m**2 + 62*m - 3. Give r(-5).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let -3*a**2 - 63686031*a = 0. Calculate a.\nAnswer: -21228677, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let o(x) = 4*x**2 + 2*x - 1. Let d be o(-6). Let f = 150 - d. What is the remainder when f is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence kvkk when four letters picked without replacement from vvvkvkvvkvkkvv.\nAnswer: 45\/2002","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 2514 + -1645. What is the highest common divisor of w and 79?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*f - 615 = 3*u, 6*f - 9*f - 3*u - 459 = 0. Let j = f - -566. Is j a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -4413035 by -1045.\nAnswer: 4223","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 48701 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: Two letters picked without replacement from sfsbssff. What is prob of sequence bs?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 13 + -8. Suppose 0 = 3*j + g*p - 20, 2*j + 0*j + 5*p = 15. Let b(n) = -186*n + n**2 - 159*n - 2 + 340*n. Calculate b(j).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1.69720268 rounded to two decimal places?\nAnswer: -1.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 225 a factor of 21178?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 8943 is divided by 28?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 348214719 to the power of 1\/6, to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let i(r) = 4*r**2 - 3*r + 14. Is i(-4) a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*g + 8. Let q be g + 0 - 266\/(-8). Let m = q - 35. Which is the nearest to 0.1?  (a) 1  (b) -1\/3  (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*z - 18 + 6 = 0. Suppose 9 = d - 2*g, -z*d - 5*g = -4*d + 18. What is the first derivative of 3*c**2 - 5 + d*c**2 - c**2 + 3 wrt c?\nAnswer: 10*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (301 - 323) + -10 + 4.\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 6\/(-15) - 14\/(-10). Suppose -2*o + p = -9. Calculate the remainder when 18 is divided by o.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 7463 rounded to the nearest 1000?\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -3720 + 3718. What is the third biggest value in -0.3, -8.4, h?\nAnswer: -8.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be -4 + 2 - ((-23 - -1) + 0). Suppose 0 = 21*m - f*m - 26. What is the remainder when 123 is divided by m?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -2124 - -2124. Let m(w) be the first derivative of 2*w**2 + 377*w + 2. Is m(b) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 3346 divide 246424301?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2\/55, -0.4, -5, -0.3, 5 in increasing order.\nAnswer: -5, -0.4, -0.3, -2\/55, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -13\/50 and 113\/8970?\nAnswer: 44850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 123395586 - 175853295. Let k = x - -29357709. Round k to the nearest one million.\nAnswer: -23000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(t) = -13*t - 22. Let k be y(-2). Differentiate -20 - 16 - 10*p**k - 8 - 26*p**4 wrt p.\nAnswer: -144*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((0 + sqrt(448))*3)**2 + (4*-2*sqrt(567))**2.\nAnswer: 40320","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.3818711mm in kilometers?\nAnswer: 0.0000003818711","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (7\/(-28))\/(6\/(-144))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose w = -2*r + 13, 2*w - 8 = -152*r + 157*r. Which is bigger: r or 194\/315?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(h) = 22*h**2 + 15*h - 12. Let o be s(10). Let p = -1443 + o. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(l) = -l**3 + 4*l**2 - 3*l - 3. Let q be u(3). Let c = 491 + -490.8. What is the closest to c in 3\/10, q, 3?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -44080 divided by 551?\nAnswer: -80","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let w be ((-39)\/26)\/(1 + (-14)\/8). Suppose -y + 5*z = -26, -3*y + 3*z = w*y - 20. What is the closest to y in -1, -10, 5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 3731152\/3 or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let o(c) = 51*c - 1. Let j(r) = 39*r. Let f(w) = 4*j(w) - 3*o(w). Let g(h) be the first derivative of -1 - h - 1\/2*h**2 + 1\/3*h**3. Determine -f(d) - 3*g(d).\nAnswer: -3*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -4 divided by 131834.\nAnswer: -2\/65917","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*l + 16 = -l. Suppose -4*t - 4*m - l = 0, 5*t + 3*m - m + 7 = 0. Does t = 4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 965 is divided by 41.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 98*j**4*n + 3*j**2*n**3 - 300*n**3 wrt j.\nAnswer: 392*j**3*n + 6*j*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 20 = 4*r + r. Suppose -r*j + 2 = -2. Let p be 1*(-1)\/j - -11301. What is p rounded to the nearest 1000?\nAnswer: 11000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 131 (base 6) in base 3?\nAnswer: 2001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:00 PM and 9:25 PM?\nAnswer: 445","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -0.5, -3, -1, 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: 44 * 556794\nAnswer: 24498936","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Put -11, 6, 4, -4, 12 in ascending order.\nAnswer: -11, -4, 4, 6, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange ((3*n**3 + 3*n**3 - 5*n**3)*(-2 + 1 + 3) + 2*n**3 - 4*n**3 + 3*n**3)*(-3*n + 3*n - n) to x*n**3 + j + m*n**2 + t*n**4 + h*n and give t.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -5 + -21013097?\nAnswer: -21013102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -346, -715, -1096, -1495, -1918?\nAnswer: -2371","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -27\/22 and (-7719)\/(-1328)*12\/(-9).\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 3339 and 3528?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*m = -15 + 9. Suppose 4*v - 8820 = -m*v. Let x = v - 943. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(l) = -l + 32. Let n(i) = -652*i + 546. Give -2*n(w) + 34*z(w).\nAnswer: 1270*w - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve -75*i = -79*i + 5*v + 9, -75 = -108*i - 5*v + 28 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 46 - (16 + -26 + 17 - (-3 + (11 - -1)))?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 10111221 (base 3) in base 9?\nAnswer: 3457","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 3213390*p*s**3 + 6*p*s**2 - 59*p - 221*s**2 wrt s.\nAnswer: 19280340*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let b(r) = -48961 + r + 48962 + 0*r + 2*r. Let x(l) = 5*l + 2. Calculate 5*b(v) - 2*x(v).\nAnswer: 5*v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -2*s + 2*s + 15*s to f + y*s and give y.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.006744 to 3 decimal places.\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9*t - 8*t + 135677 = 0. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (w**(2\/5)*w)**(9\/5)*(w**(2\/3))**(3\/28) assuming w is positive.\nAnswer: w**(907\/350)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let u(c) be the second derivative of c**4\/12 + 7*c**3\/6 + 5*c**2\/2 - 983*c. Determine u(-4).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3 = -3*a + 24. Suppose -16 = -4*d + 3*x, 4*d + 3*x - 7 = a. Let f = 12 - d. List the prime factors of f.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.143147082 to 3 decimal places.\nAnswer: -0.143","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: -264849475 divided by 45925\nAnswer: -5767","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (b\/(b*b**(-5)\/b))**(-1\/15)\/(b\/b**1)**(-4\/17) assuming b is positive.\nAnswer: b**(-2\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth smallest value?  (a) -3\/2  (b) 0.5  (c) 0.5999  (d) 0  (e) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*q + 5*x - 51 = 0, -38 = -7*q + 4*q - 4*x. Solve 11*y - q = 19 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(g) = 14*g**2 - 6*g + 43 - 43. Let r(y) = 9*y**2 - 4*y. Let k(s) = -5*f(s) + 8*r(s). What is the second derivative of k(b) wrt b?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -5 - -4104?\nAnswer: 4055","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 2248 or -155539?\nAnswer: 2248","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve -624 = -124*v - 177*v - 2731 for v.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 19 = 2*s - 7. Let z(c) = -5*c - 7*c - 5 + 4 + s*c. Let d(k) = -k + 5. Let l be d(6). Let p(y) = -3*y + 2. Calculate l*p(j) - 2*z(j).\nAnswer: j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Factor 5*a**3\/8 + 1417*a**2 + 36227*a\/8 + 849.\nAnswer: (a + 3)*(a + 2264)*(5*a + 1)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 1 - 3. Let a(v) be the third derivative of 0 + 1\/3*v**3 + 0*v + 11*v**2 + 1\/12*v**4. Let t(y) = 7*y + 8. Give g*t(o) + 9*a(o).\nAnswer: 4*o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*j - j + 6. Let t = 264 - 186. What is the remainder when t is divided by (-1)\/j + 546\/28?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 1\/((-6)\/8)*(-192)\/(-1664).\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let x(f) = -174*f. Let g(j) = 2*j**2. Calculate g(x(c)).\nAnswer: 60552*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Express 47*j + 349*j - 125*j + 173*j + 134*j in the form z*j + v and give z.\nAnswer: 578","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -155 - -150.7. Let f = -3.9 - q. Which is the third biggest value?  (a) -0.28  (b) 0.1  (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -20596 + 20596. Solve 11 = -3*z + 4*x + 6, w = x + 1 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between -37 and 0.03218486698?\nAnswer: 37.03218486698","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is n in 2*n**3\/3 - 12946*n**2\/3 + 26270992*n\/3 - 15920521760\/3 = 0?\nAnswer: 1105, 2684","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: 14\/28*(3\/(-12) + 1)\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 5\/8 of a litre?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 8*q - 2*l - 100 = 0, -60*q + 63*q = -2*l + 43 for q.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 31 - 95. Let v = g - -146. What is the units digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 867 divided by -289?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is -4782552 take away -0.2?\nAnswer: -4782551.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Express -23 - k - 2*k**4 - k**2 + 3*k**3 - 17 - 3*k**2 + 2*k**2 + 66 as o*k**2 + z*k + w + d*k**3 + l*k**4 and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Express 0*q + 2*q + 2*q**4 + q**3 + 0*q - 3*q**2 as n + v*q + s*q**2 + k*q**3 + w*q**4 and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1036*i = 1311*i - 4675 for i.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 26 - 3524*s + 3524*s - 25 - 15*s**3.\nAnswer: -15*s**3 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 4 - (2 + -3 + -10 + 12 + -4).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose q - 5 + 3 = 0. Suppose -q*b + 6 = -2. Solve 0 = b*d + 3*v - 19, -24 = -5*d - 4*v - 0*v for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -48 - -79. Let p = n + 0. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(x) = x**2 + 22*x - 10 - 39*x + 18*x - 2*x**2. Give c(0).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -662 - 19379 = -160*z - 2281 for z.\nAnswer: 111","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4*n**2 - n**2 - 5*n**2)*(n**3 + 0*n + 0*n) - 18 + 8*n**5 + 18.\nAnswer: 6*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 48939437 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 30*r + 36*r - 50*r + 0*r.\nAnswer: 16*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: -0.129*29670\nAnswer: -3827.43","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence iyyi when four letters picked without replacement from {i: 7, y: 8, m: 5}?\nAnswer: 98\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (y**(-7))**(-3\/19)*(y**(11\/3))**1 assuming y is positive.\nAnswer: y**(272\/57)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 55*9\/45 + 1. Suppose -d*g + 339 = 291. Determine h so that 1\/2*h + 3\/2*h**3 + 0 + 1\/2*h**g + 3\/2*h**2 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of -279, -915, -1911, -3273, -5007, -7119?\n\"Answer: -c**3 - 174*c**2 - 107*c + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -36 + 61. Suppose -8*a + h - 1 = 0. Suppose -5*b + 3*o = 0, -o = -2*b - 0*b. Solve -z = -b*z - a for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 7378673 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 1683535?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 20 and 1325100.\nAnswer: 1325100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -0.211 and -35.\nAnswer: 7.385","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -12 - -14. What is the closest to 2 in 0, j, -2\/15?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -115\/6 and -101\/672.\nAnswer: 672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let t(z) = -838*z**3 + 2*z**2 + 6*z - 10. Let y be t(-2). What is the greatest common divisor of y and 30?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -35488174 or -35488168?\nAnswer: -35488174","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 12 = -4*n, 27 = -4*s + 5*s - 3*n. Solve -366*k + 357*k + s = 0 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be ((-2)\/(-5))\/(9\/10). Let o(q) = q + 12. Let z be o(-11). Let f be (-3 - 63\/(-28)) + z\/4. Which is the third smallest value?  (a) n  (b) f  (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -612738000 rounded to the nearest 1000000?\nAnswer: -613000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5 = -f + 1, 5*f + 19 = -o. Let w be 0 + (0 - o) + 4. Suppose 0 = q - 5*h - 12, 0 = -4*q + 7*q - 6*h - 18. Which is bigger: w or q?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ic when two letters picked without replacement from lqoic.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let p(u) = 4*u - 141. Give p(23).\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Work out 63258553152 - 11.\nAnswer: 63258553141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Express -1817*z**2 - 3803*z**2 - 1846*z**2 + 982*z**2 + 706*z**2 in the form i*z**2 + a + u*z and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 91\/1564968 and 45\/1576.\nAnswer: 1564968","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2.04*-0.2.\nAnswer: -0.408","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let n(q) be the third derivative of q**4\/12 + 11*q**3\/6 - 8*q**2. What are the prime factors of n(13)?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 11675, 93572, 315983, 749204, 1463531, 2529260, 4016687, 5996108?\nAnswer: 8537819","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -35 and -0.9?\nAnswer: 31.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let t(y) = -21*y + 2. Let w be (-28)\/20 - 4 - (-21)\/15. Let f(q) = 22*q - 3. Determine w*f(n) - 5*t(n).\nAnswer: 17*n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 169 is divided by 72.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Express 519*c**4 - 2*c + 6 + 0*c - 3 - 4 + 13*c**3 - 514*c**4 in the form m*c**4 + r*c**3 + g + s*c**2 + t*c and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:28 AM and 6:40 PM?\nAnswer: 552","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 5 a factor of 559?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from btttccctgtgcctbtgtc. What is prob of picking 3 g?\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Put 5324380, 0, -1\/3, 1 in increasing order.\nAnswer: -1\/3, 0, 1, 5324380","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: (1 - 7) + (-4 - -9)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 185101 is divided by 71.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*x - 9 + 3 = 0 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 102211?\nAnswer: 43, 2377","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let o(q) be the first derivative of q**3\/3 - q**2\/2 + 6*q - 6. Let l be 3\/(-12) - 2\/(-8). Let u be o(l). Solve 3*g - u = c, -3 = -c - 2*g + 1 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(q) = -53*q**2 + 375*q - 2681. Give z(7).\nAnswer: -2653","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 20178788561 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((s**(1\/4))**(-8))**10*((s\/(s**(1\/7)*s))\/((s\/s**(2\/7))\/s))**(4\/19) assuming s is positive.\nAnswer: s**(-2656\/133)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let m(c) = c**3 + 17*c**2 - 42*c + 11. Let l be m(-21). Let v = 862 + l. Let j(g) = -g**3 - 9*g**2 - 3*g + 1. Determine j(v).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -1.2 + 6.2. Let k(p) = 8*p + 112. Suppose h - 5 + 28 = -2*q, -h = -5. Let f be k(q). Which is the nearest to f?  (a) 0.4  (b) 0.5  (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0.1 + -327.2627\nAnswer: -327.1627","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 6777.7 + -6778. What is the closest to -0.4 in -4, -0.2, i, 1\/4?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (z**(2\/11)*z\/z**3)\/((z**5*z)\/z**5) assuming z is positive.\nAnswer: z**(-31\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in -3, -1, -0.1, 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 80 and 12.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 706941498*j**3 - 194996133*j**2 wrt j.\nAnswer: 4241648988","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let b(w) = 9*w + 5. Let t be b(5). Suppose 3*o - 2*o - 40 = 0. Suppose -8 = -z - 3, -g - 4*z = -o. What is the greatest common factor of t and g?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) 12  (b) -3\/17  (c) -5  (d) 2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: 2216e (base 16) to base 3\nAnswer: 21002112111","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"}
{"text":"Question: Let n(d) = -d**3 - d**2. Let v(j) = j**2. Let c = -113 + 109. Determine c*v(w) - 4*n(w).\nAnswer: 4*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -4014 + 4014.1821. What is u rounded to 2 dps?\nAnswer: 0.18","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -17*x**3 + 817953*x**2 + 2764947?\nAnswer: -51*x**2 + 1635906*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 3aafd1 (base 16) in base 4?\nAnswer: 32222333101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of 643812, 1287627, 1931442, 2575257, 3219072?\n\"Answer: 643815*r - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: -3 times 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 1\/((-4)\/(-54) + (-561)\/891).\nAnswer: -9\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (g**(3\/10)\/g**(-15))\/(((g**(1\/12)\/g*g)\/g*g*g*g)\/g**(-2\/21)) assuming g is positive.\nAnswer: g**(1837\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -3\/173 - -385\/2249. Let q be 6\/8*1\/3. Which is the nearest to -2\/3?  (a) -3\/2  (b) m  (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 1834 and 6777154?\nAnswer: 262","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 324*c + 1770 = 147*c for c.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of 61, -121, -691, -1841, -3763, -6649, -10691, -16081?\n\"Answer: -32*d**3 - 2*d**2 + 48*d + 47","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -23 + 44. Let c = 24 + t. What is q in -2*q**2 - c + q**3 + q + 45 = 0?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*q + 3*q = 0. Let o be ((-2)\/2)\/(-1 + 2). Let v be 2*2*o\/(-2). Solve 6 = -q*g - v*g for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -3*b**4 - 9*b**4 + 3*b**4 + (2 + 1 - 2)*(-3*b**4 + 0*b**4 + 2*b**4) + 4*b**4 + b**4 - 3*b**4.\nAnswer: -8*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.1 plus 1.0515441852?\nAnswer: 1.1515441852","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*b + 6 = 3*t, 0 = 5*t - 3*t - 2. Let a be b*2 + (0 - 11) + 2. Let j(q) = q**3 + 12*q**2 + 11*q + 2. Let l be j(a). Solve -3 = l*n + 1 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3 + sqrt(36)\/(sqrt(24)\/sqrt(2)) + sqrt(84)\/(sqrt(7) - -2*sqrt(7)).\nAnswer: -3 + 5*sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 16 + -47. Let g = q + 31. Solve 0 = -2*u + 4 - g for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 91 * 0.081\nAnswer: 7.371","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 154 minutes after 3:09 AM?\nAnswer: 5:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose o + 4*r = -0 - 4, 2*o + 3*r + 3 = 0. Suppose -8 = -2*l - o. List the prime factors of l.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 438 to the power of 1\/2, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 6 (base 10) in base 3?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 5*k**2*v - 14*k**2 + 3*k*v - 190*k wrt k.\nAnswer: 10*v - 28","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 6\/13?  (a) 3\/11  (b) -2  (c) -0.15  (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1486 is divided by 29.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (p**(1\/5))**(-1\/19)*(p\/(p**(-1)*p))**42 assuming p is positive.\nAnswer: p**(3989\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in fifty-three fifths of a litre?\nAnswer: 10600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -75, 21, -61, -411, -1119, -2275?\nAnswer: -3969","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 214.879 - 215. Let t = -0.012 - v. What is t rounded to two decimal places?\nAnswer: 0.11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(v) = 34 - 23 - 12 - v. Let h(t) = -1 + 0*t - t - t. Let i = 1 + 0. What is i*h(z) - m(z)?\nAnswer: -z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*n - 15 = -2*n. What is the units digit of (-7 - n) + 3*3?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -0.1  (b) 20  (c) 1  (d) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*o + 112 = 5*g + 202, 0 = -5*o + 2*g + 3 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 133151?\nAnswer: 47, 2833","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 494 is divided by ((-275)\/(-10))\/((-2)\/(-4)).\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is one fifth of a microgram in nanograms?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -0.067 - -0.467. What is the closest to 2 in -5\/4, u, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 5845, 11699, 17555, 23407, 29249, 35075?\nAnswer: 40879","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let r(d) be the second derivative of -d**10\/5040 + d**6\/120 + d**3\/3 - 2*d. Let i(j) be the second derivative of r(j). Find the third derivative of i(h) wrt h.\nAnswer: -120*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -143.72 * 0.022.\nAnswer: -3.16184","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -8140, -9094, -10698, -12964, -15904, -19530, -23854?\nAnswer: -28888","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 7 - (-11)\/121*-22. Sort -1, 2, 4, 1, u in decreasing order.\nAnswer: u, 4, 2, 1, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3 + 1 - 1)*(8*x - 4*x + 10*x).\nAnswer: -42*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*y + 3 = y - 3*f, 0 = 5*y - f + 7. Let a = -6.54 + 390.54. Let d = a + -384. Sort 0.1, d, y, -0.1 in increasing order.\nAnswer: y, -0.1, d, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 46 - 139\/3. Let q be 2 + (-18)\/(-237) - 2. Let h = q + 31\/632. Which is the third biggest value?  (a) w  (b) -0.3  (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 81 - 54. Let t be 4*(r\/(-12) + -1 + 4). What is the third derivative of -10*q**2 + 17*q**4 - q**3 - 3*q**2 + q**t wrt q?\nAnswer: 408*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -j - 6 = -3*j. Let q be -2 + j - (-28 - -6). Let l = q - 11. Does 12 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5 + (sqrt(336)\/(sqrt(24)\/sqrt(2)))\/sqrt(4) - (5 + sqrt(112) - (sqrt(77)\/(sqrt(44)\/sqrt(4)) + sqrt(7)))**2.\nAnswer: -19*sqrt(7) - 48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:31 PM and 3:32 AM?\nAnswer: 661","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -x + 700 - 227. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 19 - 8. Let b = 3831042.000065 - 3831053. Let d = w + b. What is d rounded to five decimal places?\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth biggest value in -3\/5, -3, -0.1, 1, 1547, 2\/5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:59 AM and 10:44 AM?\nAnswer: 525","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*r + 21 = x, 22*x + 182*r - 176*r - 46 = 0 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 31916 is divided by 2455?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -q + 51 = 4*a, 2*a = 6*a + 5*q - 31. Let h be a\/(-10) + (-1)\/(-1). Suppose 0 = 4*k + 3*y - 6, -3*k + 0*k - 2*y + 4 = 0. Is h at most k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*f**3 + 1060*f**2 + 228846*f + 1549296.\nAnswer: -2*(f - 696)*(f + 7)*(f + 159)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0 divided by -297.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 m and 1 h when two letters picked without replacement from umhhhmuhuuuhummuu?\nAnswer: 5\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 136974?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -171 + 177. Let j = 1 - 2. Let h = j + r. What is the third biggest value in -4, -5, h?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 9894187913 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 202 minutes before 4:38 AM?\nAnswer: 1:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -14*h + 3*h**2 + 36*h + 227*h + 226*h - 67*h.\nAnswer: 3*h**2 + 408*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 1010111221020 (base 3) in base 5?\nAnswer: 123210043","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 294 and 7644?\nAnswer: 7644","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let f(b) = b**3 + 5*b**2 - 5*b + 6. Let w(a) = -3*a**2 + 3*a. Let p be w(2). Let l be f(p). Factor -2\/3*d**4 - 5\/3*d**3 - 2\/3*d**2 + l*d + 0.\nAnswer: -d**2*(d + 2)*(2*d + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -236.0652248 take away -1.3?\nAnswer: -234.7652248","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 1 + 3. Let b = 6 - r. Let v be -12*b*2\/(-8). Solve v*j = j + 5 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 177*x + 8294 - 21569 = 0. Solve -11*n + 602 = x*n for n.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 5*u**2 - 48*u**2 - 54*u + 54*u to the form f + t*u**2 + q*u and give t.\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 1089.36 - 1089.314297. Round f to three dps.\nAnswer: 0.046","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(a) = -17*a**3 + 126*a**2 - 65*a + 119. Calculate k(7).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: 1 + -1 + (65 - 62)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 5200713 rounded to the nearest one thousand?\nAnswer: 5201000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of -197, -788, -1773, -3152, -4925, -7092, -9653?\n\"Answer: -197*q**2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (q**1\/((q*q**(-3\/5))\/q))\/(((q*q**(-1))\/q)\/q)**(-20)*(q*q**(1\/3))**(-29)*((q**(-4)\/q)\/q)\/(q\/((q*q*q**(-1\/3)*q*q)\/q)*q) assuming q is positive.\nAnswer: q**(-412\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (2900\/35)\/5 + 8\/(-14). Let c(b) = b**2 + 2*b. Let l(s) = s + 1. Let y be l(5). Let q be c(y). Calculate the highest common factor of q and v.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -102*j + 102*j + 12*j**2.\nAnswer: 12*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let s(z) = -z. Let k(p) = -9*p - 3647. What is k(s(f))?\nAnswer: 9*f - 3647","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve -270 = 40*z - 670 for z.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4 = s - 28. Let p = s + -23. Which is the nearest to p?  (a) 1\/5  (b) -3\/4  (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(t) = -t**3 + 39*t**2 - 72*t + 60. What is r(37)?\nAnswer: 134","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is -103951405.4 rounded to the nearest one million?\nAnswer: -104000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in 37, 0.02, 2\/17, 4, -2, -159\/10, 0?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let u(m) = m**2 - 732*m + 2176. Let v be u(3). Which is the fourth smallest value?  (a) -45\/4  (b) -3  (c) -5  (d) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 3 + (-2 - (-124)\/(-116)). Let l(h) = -3*h + 9. Let w be l(4). Let m be w*1\/(24\/10 + -3). Which is the third smallest value?  (a) -0.3  (b) m  (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*s = -f + 549, -856 = -3*s + 2*f + 3*f. Let o = s + -136. List the prime factors of o.\nAnswer: 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 16 * -8589.\nAnswer: -137424","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -52*w - 3 + 2 - 39*w.\nAnswer: -91*w - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -6 - -9. Suppose 4*x - y*r = -23, 4*r = 3*x - 0*x + 26. Calculate the remainder when 22 is divided by (32\/(6\/(-3)))\/x.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 579674\/9 - 64504. Let f = 96 + t. What is the closest to 0.1 in 3, -2\/7, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -473 = -f - 4*j - 423, 4*f - 100 = 4*j. Solve 4*h - 1 = -b + 10, 0 = 2*b - 5*h + f for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*z + 3*h = -135, 5*h - 135089 = z - 135314 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (p*p*(p*p*p**(2\/5))\/p*p**(-8)\/p)\/(p**(-2\/5)\/p)**21*((p*p\/(p*p**(2\/17))*p*p)\/p*p*p*p**(1\/2))**(-8\/15) assuming p is positive.\nAnswer: p**(5473\/255)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -x + 3*z = -14, z - 6 + 2 = -4*x. Let c(i) = 13 - 4 - 12 + 6*i**x. Let a(m) = m**2 + 2*m**2 - 15*m**2 + m**2 + 5. Calculate 3*a(d) + 5*c(d).\nAnswer: -3*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let n(r) = -6*r + 4. Suppose -4*p + 32 = 20. Let a(d) = -13*d + 9. Let w be 35\/(-245) - (-3 + (-69)\/(-7)). Determine p*a(h) + w*n(h).\nAnswer: 3*h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let q(z) = 2*z**2 - 3*z + 1. Let a be q(2). Suppose s = 6*s + a*r - 219, -3*r - 117 = -3*s. Let f = 86 - s. Is f a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 821213629 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"}
{"text":"Question: Let g(w) = -15*w**2 + 6. Let l(d) = -20 + 7 + 9 + 5. Let j(u) = -g(u) - 2*l(u). Differentiate j(m) wrt m.\nAnswer: 30*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) -1  (b) 0.04  (c) -1706199  (d) 1\/8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Convert 14224120 (base 6) to base 14.\nAnswer: c8d8c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -29.73 - -29.53. Suppose 0 = -4*j + 6*j + 2. What is the closest to j in 1, r, -0.7?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (5 - 3 + 0)*(11 - 8*g - 11 + (-4 + 2 + 1)*(g - g - g)) in the form t*g + a and give t.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:42 AM and 5:45 PM?\nAnswer: 543","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 35\/624 and -36\/49.\nAnswer: 30576","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let l(s) be the second derivative of s**7\/56 - 2*s**6\/5 + 27*s**5\/10 - 37*s**4\/8 - 73*s**3\/8 + 135*s**2\/4 + 2692*s. Let l(g) = 0. What is g?\nAnswer: -1, 1, 2, 5, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 868 and 93?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 5282*y**4 + 20*y**3 + y**2 - 52414 wrt y?\nAnswer: 126768*y + 120","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 50089 to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is ((-107616)\/120)\/(2\/(-5)) a multiple of 118?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (5*(sqrt(98) + -1))**2.\nAnswer: -350*sqrt(2) + 2475","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let r(d) = 2*d. Let l(x) = 6614*x**2 - 2961. Give l(r(t)).\nAnswer: 26456*t**2 - 2961","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 35991 a multiple of 93?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-6)\/2 + 3)\/(-3 - 1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*g + 15 = -4*t, -3*g + 4*t = -0*t - 9. Suppose -7 - g = -u. Let v(i) = -i**2 + 11*i + 2. What are the prime factors of v(u)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 b and 1 x when two letters picked without replacement from {b: 2, x: 4}?\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -64 + 124. Let p = -0.0538 + -54.6462. Let m = i + p. Round m to the nearest integer.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 10 + -5210420?\nAnswer: -5210410","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 2 + (-2)\/(-267) - (-22 + 24). Is -1 greater than m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of 9797, 19595, 29393, 39191?\n\"Answer: 9798*s - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 2151 and 2349131?\nAnswer: 239","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 3 a factor of -4 - -4 - (4 + 153)*-1?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 84691393 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence uuu when three letters picked without replacement from {d: 5, m: 3, x: 5, u: 5, g: 1}?\nAnswer: 10\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Express (-3*d**3 - 3 - 5*d + 7*d + 7*d)*(-2 - 2 + 7) in the form m*d + j + o*d**3 + q*d**2 and give m.\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -44*z + 305 + 135 for z.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence sb when two letters picked without replacement from {s: 9, k: 3, p: 2, b: 3, l: 2}.\nAnswer: 3\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-4)\/(-22) + (-63)\/(-77). Let q = -4 + s. Let u = -6 - q. Let b(r) = -r**2 + r + 1. Determine b(u).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 173775 and 1050?\nAnswer: 525","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let k(j) = j - 19. Determine k(14).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of -3636, -7185, -10722, -14241, -17736, -21201, -24630, -28017?\n\"Answer: h**3 - 3556*h - 81","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let w(o) = 9*o**2 - o - 226. What is w(0)?\nAnswer: -226","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 262\/67 + 6857\/1005. Let z = 62\/5 - v. Sort -1\/3, 0.2, z, 2\/15 in decreasing order.\nAnswer: z, 0.2, 2\/15, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 10081 - 10111.892. Let s = u + 31. What is s rounded to 2 decimal places?\nAnswer: 0.11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3661 to the power of 1\/3, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-10)\/(-3)*(6 + (-198)\/55). Let i(g) = 17*g**3 - 3*g - 5. Let j(o) = -50*o**3 + 8*o + 14. What is q*i(u) + 3*j(u)?\nAnswer: -14*u**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*x - 804 = -762. Solve -126 + x = -24*j for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -18033, -36072, -54113, -72156, -90201?\nAnswer: -108248","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 44, 46, 52, 62, 76?\nAnswer: 94","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 83021 and 854?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: (-105)\/(-81)*14751\/8195\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.05 in -3\/5, -1, 5, 1?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*s + 28 = 705 + 403. Solve 7*q + s = 242 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -297*v + 875*v + 1874*v = -481*v - 525*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Put -10, 8, -2 in descending order.\nAnswer: 8, -2, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Does 2382 divide 34092209?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Work out -138488 * 340.\nAnswer: -47085920","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 30 + -8. Let a = 37 - u. What is the units digit of -1*5\/(a\/(-12))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 75\/30*((-8)\/36)\/((-15)\/18)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1 = -5*n - h, -178 = 3*n - 20*h + 30*h for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -1 + 2*12 + 4 + (-63 - -70).\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 21159731 to the nearest integer?\nAnswer: 4600","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 9\/4  (b) 0.119  (c) 24  (d) -4  (e) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Product of -0.5 and -243.\nAnswer: 121.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 14\/4*11\/((-77)\/4)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is (5\/(-8))\/(1\/4*2)?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -10 divided by -7?\nAnswer: 10\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve 791*h = -9173 + 89064 for h.\nAnswer: 101","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 3988500 to the nearest integer?\nAnswer: 1997","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -6352, -6284, -6144, -5902, -5528, -4992, -4264, -3314?\nAnswer: -2112","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2765171925?\nAnswer: 3, 5, 673, 2029","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 562*j**3 + 7*j - 38.\nAnswer: 3372*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (q*q**(-17)*q*q)**44*q**(-21)*q**15\/q assuming q is positive.\nAnswer: q**(-623)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let c(i) = -i**3 + i**2 + 83*i - 246. Calculate c(3).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -78*n*q**3 + 89*n*q**2 - 3*n - 109155*q**3 + 530*q wrt q?\nAnswer: -468*n - 654930","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1 + sqrt(567) - sqrt(567) - sqrt(7) - 4*(sqrt(7) + 1))**2 + sqrt(70)\/sqrt(160)*-6.\nAnswer: 97*sqrt(7)\/2 + 200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let a(c) = -9*c. Suppose -9*u + 6 - 24 = 0. Let w(k) = -4*k. What is u*a(p) + 5*w(p)?\nAnswer: -2*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 584 minutes before 9:55 PM?\nAnswer: 12:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 37604 to the nearest integer?\nAnswer: 194","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 539129831 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -17*c**4*j + 5*c**2*j**2 + 30*j**2 with respect to c.\nAnswer: -68*c**3*j + 10*c*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 81845 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -11*t + 3 = 25. Put -5, 1, -1, t in descending order.\nAnswer: 1, -1, t, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 1 - 3. Let o be (-2)\/7 - (-116)\/14. Let h = r + o. What is the units digit of h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-y**3 + 0*y**3 + 0*y**3)*(5*y + 0*y - 4*y) - 629*y**4 - 271*y**4 - 295*y**4 in the form j*y + b + p*y**3 + t*y**2 + u*y**4 and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 130 and 404365?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 329 is divided by 30?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*w + 4*l - 12 = 0, -16 = -4*w - 2*l - 64*l for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 83 is divided by 44.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -2 - -9. Let m = 76 + r. Let n = -82.99999834 + m. Round n to 7 dps.\nAnswer: 0.0000017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 4 - (13 + 0 + -1 + (-127 - -113) - 29).\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Convert 10012100 (base 3) to base 8.\nAnswer: 4433","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of -127, -260, -393, -526, -659?\n\"Answer: -133*v + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -8246*f + 27 = -8249*f, 23*h = 7*f + 201 for h.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.4226 - 167192.758?\nAnswer: -167192.3354","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*f = -0*f - 4. Let b = 5 + f. Solve -b*n = -6*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 4*n**3 + 2*n - 3*n**3 + 901473*n**4 - 901470*n**4 + 37*n**2 to the form v*n + k*n**4 + y + b*n**2 + x*n**3 and give k.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -103*101\/(-41612)*16\/(-34).\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -3 - (5 + (-4 - 3) + -6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 259956379 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 17\/(272\/32) + (-55)\/25?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(w) = -2*w**2 - 50*w - 9. Let x be k(-24). What is the greatest common factor of x and 559?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(p) be the third derivative of p**8\/5040 + p**7\/1260 - p**5\/180 + p**4\/4 - p**2. Let t(c) be the second derivative of m(c). Factor t(v).\nAnswer: 2*(v + 1)**2*(2*v - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 17527 - 10091. Let a = v - 4407. Suppose 5*g = -4*q + a, 2*g + 2243 = -0*q + 3*q. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of -185880, -185896, -185938, -186018, -186148?\n\"Answer: -2*w**3 - w**2 + w - 185878","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*b - 6*a + 5*a - 115 = 0, 4*a - 20 = 0. Let m be (12\/b)\/(2\/20). Suppose -2*k = -2*z + 10, -4*k = m*z + k - 5. Solve z*q - 1 = -10 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of -381, -2738, -9147, -21636, -42233, -72966?\n\"Answer: -338*l**3 + 2*l**2 + 3*l - 48","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let n(p) be the first derivative of 8*p**3\/3 - 3*p**2\/2 + p + 110. Calculate n(1).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ff when two letters picked without replacement from {f: 4, r: 6}?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1 + sqrt(76) + -5 + 0 + -1 + (sqrt(76) - (0 + sqrt(76)))*2.\nAnswer: -5 + 2*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 2925, 11709, 26385, 46983, 73533, 106065, 144609, 189195?\nAnswer: 239853","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*y + 0*p + 8 = -p, -3*y = -3*p - 12. Let j(i) be the second derivative of 1\/12*i**y - i - i**2 - 1\/6*i**3 - 1\/20*i**5 + 0. What is j(2)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-2*x - 2*x + 5*x)*(-2227 + 10 - 497) + (3 + 0 - 1)*(-2*x + 0*x + 3*x)*(-1 + 1 - 1) to the form n*x + t and give n.\nAnswer: -2716","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 35137196?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1619?\nAnswer: 1619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (k**(2\/5)*k\/k**(-3\/2))\/((k*(k*k**(2\/19))\/k)\/(k*k**(-3)\/k)) assuming k is positive.\nAnswer: k**(-229\/190)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 0 + (-82)\/3*3\/2. Let o = h + 66. What is the units digit of ((-680)\/o)\/((-4)\/10)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of (-3)\/12*4 - (-140)\/(-64) and 91\/8?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -25 - -27. Suppose -h + 60 = w*h. Does 18 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 157.7 + -177. Let u = 0.5 - h. What is u rounded to the nearest 10?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {t: 9, i: 1, c: 1, v: 5}. Give prob of sequence ivtv.\nAnswer: 3\/728","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve 10310*g - 10240*g = -700 for g.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Does 32 divide (-2)\/9 - 76566\/(-567)*33?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 7395571 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Factor y**2\/2 + 55*y\/2 + 27.\nAnswer: (y + 1)*(y + 54)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 354 minutes after 5:10 PM?\nAnswer: 11:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 2\/(1\/(0 + -2 - -4)). Let l(k) = k**2 - 6*k - 2. Let z be l(6). Let o = z + t. Solve 3*v - 12 = -3*f, -5*v + 3*f + 20 = o*f for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 10857289 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -10 + (-10 - -22) + 1.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let d(b) be the second derivative of 2*b**4\/3 - b**3\/6 - 5*b**2\/2 - 2*b - 572. Let u(o) = o**2 - o - 1. What is -d(l) + 3*u(l)?\nAnswer: -5*l**2 - 2*l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10*m - 94 = 36. Let w be m\/((-65)\/(-50)) + -4. Let v(l) = -l - l - 5*l + w*l. Let k(x) = -6*x**2 - 3*x. Determine k(v(z)).\nAnswer: -6*z**2 + 3*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let r(i) be the first derivative of -i**2 - 2. Let b be r(-1). Find the third derivative of 0*w**2 - 3*w**2 - 2*w**3 + w**b wrt w.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 504\/(-126)*(-3)\/(-20).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*n = -2 + 6, -2*p + 5*n = 2. Suppose -11 = -2*i + u, -i = p*i - 4*u - 32. Let j = -67809 + 67815. What is the lowest common multiple of j and i?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 938?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((j\/((j\/(j*((j*j*j\/j**(-4\/5))\/j*j)\/j*j))\/j)*j*j**(-4))\/(j**(2\/15)*j*j\/j**(2\/3)))\/((j**1)**35)**(-3) assuming j is positive.\nAnswer: j**(319\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: 72\/(-56)*(-7)\/3\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 9\/(-6)*(-1 - 5). Suppose z = -2*c + 5*c. Suppose f + 69 = 3*m, -3*f = -4 - 5. What is the greatest common factor of m and c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(550)\/sqrt(275)*5 - (sqrt(8)\/(sqrt(24)\/sqrt(6)) + sqrt(8) + -5).\nAnswer: 2*sqrt(2) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -4635 - -4637. Let g(l) = 2*l + 2. Let c be g(4). Suppose -f = 4*q - c - 3, 3*q - 11 = -d*f. Solve q*a - 3*o + 14 = -16, -o - 15 = 4*a for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -33*f**3 - 2969 - 328 - 5*f**2 + 10*f**2 wrt f?\nAnswer: -99*f**2 + 10*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -2.5 minus -646?\nAnswer: 643.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -6842 - -14245. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(a) = 123661*a + 618300. Determine v(-5).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -9 + 13. Suppose 0 = -2*y + s + 259, 4*s = -6*y + l*y + 264. Calculate the greatest common divisor of y and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 8a3670 (base 14) in base 9?\nAnswer: 8747044","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 4853 and 133193?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 149*r - 1906 = -416 for r.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 13040 - 13042.00024. Let z = k + 2. Round z to 4 decimal places.\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.2?  (a) 2  (b) -0.02  (c) -4  (d) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -293*c + 8587 = 51*c + 2051 for c.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1?  (a) -3  (b) 23  (c) -35\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 3169320559 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is (39 - 53) + (-7 - (40 + -3 + -1))?\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of 12, 6, 0, -6, -12?\n\"Answer: -6*n + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 278*x - 290 = 276*x. Is 81 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 13722482 and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Divide -184912092 by -3424298.\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Work out -3263358532 + 327.\nAnswer: -3263358205","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 38279.\nAnswer: 101, 379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of 222, 191, 162, 135, 110?\n\"Answer: j**2 - 34*j + 255","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let 23*p**5 - 1073*p**4\/4 + 2229*p**3\/4 + 1849*p**2\/2 + 76*p = 0. What is p?\nAnswer: -1, -2\/23, 0, 19\/4, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: -100001 (base 2) to base 8\nAnswer: -41","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:40 AM and 6:08 AM?\nAnswer: 88","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose a = 1, -l - 2*l - 5*a = -11. Let z be (-15)\/(-2) + (-3)\/l. Let p = z - 5. Calculate the common denominator of p and -13\/3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -h + t + 44, 4*t - 63 = -4*h + 81. Is h a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 20473 and 118.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is (42\/(-168))\/((6\/2)\/132)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -77528 * -176\nAnswer: 13644928","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: -157579 times 65\nAnswer: -10242635","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -114 - -162. Suppose 2*x = -d + 424, -3*x + 597 = -3*d - i. Let j = 367 - x. Is j a multiple of 44?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(242)*2 + -4 - -2*(-3 + (-2*sqrt(2) - sqrt(2))))**2.\nAnswer: -320*sqrt(2) + 612","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Put 13, -2, 1, -16380 in increasing order.\nAnswer: -16380, -2, 1, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -0.1, 1, -27, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -319 - -2555\/8. What is the biggest value in -3, 1\/8, -5, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of 122, 125, 130, 137?\n\"Answer: w**2 + 121","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let n(l) = l**3 - 4*l**2 + 5*l - 4. Let y be n(4). Suppose -5*u + 5 = 3*z, 4*z - 3*z - 2*u - 20 = 0. Let j = z + -6. Solve y = 4*m - j for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(m) = -236 - 236 - 16*m**3 + 13*m**3 - 235 + 702 + 30*m. Let p(q) = -4*q**3 + 30*q - 6. Give -5*l(v) + 4*p(v).\nAnswer: -v**3 - 30*v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 4806?\nAnswer: 2, 3, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -2?  (a) -5  (b) -22  (c) -1  (d) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -w - 6*w + 72 = -3*w - 471*z + 472*z, -5*z + 94 = 6*w for w.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 0 or -5\/3222864?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(13) + 4 + sqrt(13)*-1)**2 + -1.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is -47785 (base 10) in base 16?\nAnswer: -baa9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -14 - ((-14 - -12) + (-3 - 1)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*h = 32, 5173*f + 67 = 5174*f - 8*h for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*a - 2*a - 3*a**2 + 3*a + (0*a - a + 0*a)*(-a + 0*a + 2*a) + 3*a - 3*a - 2*a**2)*(-1 - 3*a + 1).\nAnswer: 18*a**3 + 6*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -16 = 4*k + 4*g, -k = -0*k - 4*g - 16. Let x(d) = d + 12. Let w be x(-12). Do k and w have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 517 in 37, 2\/7, -2\/3, -0.3?\nAnswer: 37","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is -17087 (base 11) in base 2?\nAnswer: -101110111110101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 59\/1962 and 43\/1448.\nAnswer: 1420488","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -4  (b) 279383  (c) 7.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Express 3*o - 177*o**2 - 3*o + 237*o**2 as h*o**2 + p*o + j and give h.\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Put 0.13, -34, -7 in ascending order.\nAnswer: -34, -7, 0.13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-2)\/2*(3 - 3). Suppose q = 4*l + 20, 5*p + l - 3 = 7. Differentiate -3*u**p - 1 + 2*u**3 + 2*u**3 wrt u.\nAnswer: 3*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(c) = -2*c + 5. Suppose 2*m + 2*m - 12 = 0. Suppose 6*n - 162 = 2*n - 3*k, -2*n + m*k = -90. Suppose -h - n = -8*h. What is d(h)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of a*d**2*f + 2*a*d**2 - 7*a*d + 125*d**2*f**2 - 15*d*f**2 + d*f wrt d?\nAnswer: 2*a*f + 4*a + 250*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 20 - -69. Is 8 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 5 + -51ad2?\nAnswer: -51acb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (3872\/(-7))\/(-2) + (-646)\/(-119) + -6. Solve -h*w + 267*w = -9 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(l) = 21698212*l. Let m(p) = -p**2. Give s(m(a)).\nAnswer: -21698212*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Determine z, given that -2*z**5\/13 + 160*z**4\/13 + 36964*z**3\/13 - 1066336*z**2\/13 - 227246434*z\/13 - 5203602496\/13 = 0.\nAnswer: -71, -32, 127","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 137\/25 + -9023\/100. Which is greater: -86 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10*p = -11*p + 1. Let l = -2 - -2. Sort l, 4, p in ascending order.\nAnswer: l, p, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be -3*4\/3*-2. Suppose a = 4*i, -3 + 1 = 3*q - 4*i. Solve -q*r - r = 0 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let 3*k**2 - 102111*k - 306360 = 0. What is k?\nAnswer: -3, 34040","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 730448?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve 301 + 21 = -50*x - 428 for x.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 20 a factor of 53940?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let v(g) = g**3 + 10*g**2 + 6*g + 11. List the prime factors of v(-9).\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 195 and 1470?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -35*u**3 - 20*u - 34*u**3 + 102*u**3 - 74*u - 30*u**3 + 94*u.\nAnswer: 3*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let i(m) = m**2 + 17*m - 848. Calculate i(-37).\nAnswer: -108","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 524870*q**2 + 9622*q + 173 wrt q.\nAnswer: 1049740","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Put 0, 0.15, 4\/7, 1\/3, 0.1 in decreasing order.\nAnswer: 4\/7, 1\/3, 0.15, 0.1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 16 or 0.23?\nAnswer: 0.23","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -502 - 454 + 1288 - 508*i + 1806 with respect to i.\nAnswer: -508","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 195 or 196?\nAnswer: 196","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.2, 0, -10\/171, -5 in descending order.\nAnswer: 0.2, 0, -10\/171, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-28 - -62) + -15 + 10.\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2 = 4*l - 2*b - 0, 72*l = 70*l - 7*b + 11 + 12 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.5142709 millilitres in litres?\nAnswer: 0.0005142709","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let k(m) = m**3 + 4*m**2. Suppose -n + 8 = 5. Suppose 2*l = -n*l - 20. Let v be k(l). Let q(y) = -y**2 - 2. Calculate q(v).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 283\/273 - 25\/21. Let y = 2 + -6. What is the closest to -2\/3 in -1, y, p?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(r) = 33*r**2 + 9*r - 22. What is x(2)?\nAnswer: 128","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let l(f) = f**2 - 21. Let o be l(7). Let s be 16\/o*(8 - 1). What is the nearest to -0.6 in 2, s, 7?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: -2 (base 8) to base 10\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (5*j**3 - 3*j**3 + j**3)*(-21 + 17 + 59) to f*j**2 + i*j**3 + k*j + b and give i.\nAnswer: 165","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 44 - -bfd76?\nAnswer: bfdba","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-6)\/(-9)*(0 + -27). Let l = -13 - x. Suppose 4*i = 2*g + 70, i - 19 - 15 = -l*g. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 128*f - 133*f = -705. What are the prime factors of f?\nAnswer: 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 443 minutes before 11:33 PM?\nAnswer: 4:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*c = -2, -2*c = -2*x - 0*x + 2. Suppose -2*b + 3*u + 185 = 19, -2*b + x*u = -162. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*b = -0*b - 26. Suppose 62 = 5*f - b. Let c = f - 0. Is c a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 272349 by 6.\nAnswer: 90783\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of -278, -541, -972, -1565, -2314, -3213, -4256?\n\"Answer: v**3 - 90*v**2 - 189","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -10*n**3 + n**2 - 3*n**2 + 2*n**2.\nAnswer: -10*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve 423*h - 633 = -6230 - 325 for h.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:25 AM and 5:41 PM?\nAnswer: 676","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 21941 and 623243?\nAnswer: 593","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -21*h = -4*h - 12427. Is 29 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence dobd when four letters picked without replacement from {d: 2, o: 2, b: 4}?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:05 AM and 1:37 AM?\nAnswer: 92","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((l**8\/l**(2\/33))\/(l**(-1\/3)*l**(-2\/37)))**(2\/35) assuming l is positive.\nAnswer: l**(6778\/14245)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -108*v + 326*v - 111*v - 106*v.\nAnswer: v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 4249 + -0.0059435.\nAnswer: 4248.9940565","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve -r - 5*s - 220 + 254 = 0, r + 20 = 4*s for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.566132494 to four decimal places.\nAnswer: 0.5661","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let v(b) = -161*b - 319. Let y be v(-2). Let r be -2 + (7 - (-1 + 1)). Suppose -15 = -r*w + 2*w. Solve 11 = -w*k + y*h, -2*k + 3*k + 10 = -2*h for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 19.0630043 - 0.0633643. Let i = -19.63 - -0.63. Let r = z + i. Round r to four decimal places.\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -172 + -9?\nAnswer: -180","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1.26, -2, -0.4, -0.3 in descending order.\nAnswer: -0.3, -0.4, -1.26, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 5 - 2. What is the units digit of g - -1*4*1?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 762551 = y - 5*m, 6*m - m - 20 = 0. Let f = y + 277417. Suppose 3 = -n, 2*l - 2*n = -6*n + f. What is l rounded to the nearest 100000?\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 746754 is divided by 21894?\nAnswer: 2358","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let w(g) = -8*g + 9*g + g. Let r(a) be the first derivative of 4*a**3\/3 + 1. Calculate w(r(t)).\nAnswer: 8*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*w + a + 9, -3*a - 1 + 2 = 2*w. Let l = 8 + w. Calculate the greatest common factor of l and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence nwkk when four letters picked without replacement from wlwlknwlklrknlwww?\nAnswer: 3\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -5 - 10*k - 18*k**2 + 15*k**2 + 10*k to v + m*k + h*k**2 and give h.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1 in 0.05, -2\/19, -0.3, -5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Does 12 divide 320 + (-7)\/((-35)\/20)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 1 + 0*l + 4 - 7 + l + 2*l**3 in the form p*l**3 + h + g*l + x*l**2 and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Find d, given that 5*d**4 + 1500*d**3 + 20195*d**2 + 50160*d + 31460 = 0.\nAnswer: -286, -11, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (-3)\/(-2)*(-12)\/(-9). Solve 4*r = 5*k - 17, -6*k = b*r - k - 29 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 2.84 - -0.16. What is the third biggest value in -4, -0.3, x?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -79\/36 and 127\/180.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 10621 is divided by 26.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from kkyyqyqykkkyy. Give prob of sequence yk.\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 1.92 + -1.8. Let z = 0.1164 - u. What is z rounded to three dps?\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(n) be the third derivative of n**3\/6 + 17*n**2. Let x(f) = 2*f - 1. Give 2*i(j) + x(j).\nAnswer: 2*j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (32\/(-12))\/(40\/(-756)). Let a = s - 51. Let v = 0.19 + -2.19. What is the second smallest value in a, -6, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*z = z - 605. Let k = -86 - z. Suppose -j + g + k = 0, 0*g = -5*j - g + 163. What is the highest common factor of j and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 787 to the power of 1\/2, to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 1718 + -1?\nAnswer: 1717","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 162190440 and 720.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 42702513?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let o(h) = h**3 + 4*h**2 - 4*h - 1. Let t(j) = 0 - j - j**2 + j**3 + 7 + 4*j**2. Let b be 12*1*(-6)\/18. Let y be t(b). What is o(y)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(s) = s**3 - 18*s**2 - 85*s - 71. Let i be u(22). Which is the second smallest value?  (a) -6\/37  (b) i  (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 4206?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 455911.\nAnswer: 163, 2797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve 14*z - 19*z + 3*r = -18, -3*z + 4*r = -13 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -9 + 17. Let p = i - 7.5. What is the closest to 1\/5 in p, -1\/4, 4?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -9261*y - 177161 - 179153 = -3341*y + 330406 for y.\nAnswer: -116","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -2*h + h - 3*h + 4 + 3*h - 4 + (2 + 0 - 4)*(-h - 3 + 3) + 9*h + 50 - 50 to o*h + b and give o.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-39 + 46 + 26)*(3*m**2 - 3*m**2 - 3*m**5).\nAnswer: -99*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -0.11 - 3.89. Let m = -7 - q. Sort -0.2, 3\/5, m in ascending order.\nAnswer: m, -0.2, 3\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-13 - -1)\/((-6)\/(-9)). Let x be (6\/t)\/(26\/(-24) - -1). Solve d - q + 6 = 0, -9 = 2*d - d - x*q for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*p + 5*b = -2*p - 35, -b + 15 = 4*p. Let a(c) = c**3 - 2*c**2 + 2*c + 1. Let k be a(2). Solve -p = -2*u + k for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*i = -i - 3*c, 3*c = -3*i. Suppose i = -5*t + t + 84. Let k(a) = -a**3 - 5*a**2 + 7*a + 13. Calculate the remainder when k(-7) is divided by t.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many micrograms are there in 3\/50 of a gram?\nAnswer: 60000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Round 520538.298 to the nearest one hundred thousand.\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 0.5137573 and 9.\nAnswer: 4.6238157","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3*(sqrt(3) - (-2 + sqrt(3) + 5))**2.\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let v(l) = 2*l**2 - 15*l + 20. Let w be v(6). Let q(f) be the first derivative of f**4\/2 - 2*f**3\/3 - f**2 + 1. Calculate q(w).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-1 - 3) + (120\/(-110))\/6*-24?\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 71*w**4 - 6*w**4 + 25*w**4 + (3*w**2 - 2*w**2 - 3*w**2)*(-12*w**2 + 2*w**2 - 2*w**2) + w**4 - 2*w**4 + 3*w**4.\nAnswer: 116*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1 in -1\/3, 2, -27731, 4, -1?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (0\/(-3))\/((-1)\/(-1)). Let i = 44 - 42. Suppose u + q = i. Is 2 equal to u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 603 - 352. What is the hundreds digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 19*372\/(-18848)*7\/((-63)\/78).\nAnswer: 13\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose g = -0*l - 3*l + 3, g + l = 1. Solve 3*z + 2 = 8, 4*n + 5*z - 30 = g for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 269180?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 10116 to the power of 1\/6, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -10*g**2 + 89354440 - 89354440.\nAnswer: -10*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let p(m) = 501*m + 4851. Determine p(-9).\nAnswer: 342","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let d(m) be the first derivative of m**5\/30 - m**4\/24 - m**3\/9 - 1. Factor d(c).\nAnswer: c**2*(c - 2)*(c + 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((((j*j**(-11\/6))\/j)\/j)**(-41))**(-32))**(-34))**31 assuming j is positive.\nAnswer: j**(11754208\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let z(l) = -15*l**2. Suppose 64*d + 117 = 73*d. Let h(g) = -53 - 23*g + 25 + 15 + d. Give h(z(k)).\nAnswer: 345*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*r + 1146 = -3024. Suppose 5*m + 3*d = 3690 + r, 0 = 3*m - 3*d - 2631. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 188433?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 815*f**3*y**2 + 2*f**3*y + 89*f*x*y**2 + 5347*f*x*y + f*y wrt y?\nAnswer: 1630*f**3 + 178*f*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Put -8, 9, -3111, 0 in ascending order.\nAnswer: -3111, -8, 0, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 18795*r**4 + 294*r + 312*r + 10521*r**4 - 606*r + (-2*r + 3*r - 2*r)*(r**3 - r**3 - r**3) to k*r**3 + y + u*r + i*r**2 + s*r**4 and give s.\nAnswer: 29317","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 - 3*w**3 + 1)*(2*w**2 + 0*w + 0*w + (1 - w - 1)*(-2*w + 2*w - 5*w)).\nAnswer: -21*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1368*f - 55 = 1379*f for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose k + k = 10, 4*w - 5*k - 35 = 0. Let d = -11 + w. Let s be (2\/d)\/(-1) - 0. What is the third smallest value in s, -5, 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -20 - -1 - (-119 - (-3 - -30 - 14))?\nAnswer: 113","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*v - 4*p - 40, p = -2*v - 0*p + 29. Let n = 18 - v. Find the third derivative of -2*c**2 + 2*c**6 - c**2 + n*c**2 wrt c.\nAnswer: 240*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (2 - 1)\/(72\/1092*26 - 3)?\nAnswer: -7\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 34\/4*(-1242)\/3105.\nAnswer: -17\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Factor -8*o**3\/7 + 1222*o**2\/7 - 21240*o\/7.\nAnswer: -2*o*(o - 20)*(4*o - 531)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 86601.63 + -86982. Let j = 378.3897 + i. Let l = j - -1.97. What is l rounded to three dps?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: -2002 (base 3) to base 2\nAnswer: -111000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -y - 81 = -2*j - 3*j, -y + 15 = j. Let f = -9 + 13. Calculate the lowest common multiple of j and f.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: 629 times -0.4\nAnswer: -251.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 4566378184 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -k = k - 20. Let a(u) = 3*u - 2. Let i be a(2). Calculate the remainder when (-261)\/45*(-1 - i) is divided by k.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 49\/100 >= -0.01?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of 59, 123, 187, 251?\n\"Answer: 64*y - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 0.07 - 0.19. What is k rounded to 2 dps?\nAnswer: -0.12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0005182 rounded to five dps?\nAnswer: 0.00052","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Divide -13 by 11889103.\nAnswer: -13\/11889103","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Convert 4250 (base 9) to base 3.\nAnswer: 11021200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort 6, -26, 0.1, 5, 1, -0.4 in decreasing order.\nAnswer: 6, 5, 1, 0.1, -0.4, -26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Convert 22 (base 12) to base 10.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 3286051674 to the nearest integer?\nAnswer: 57324","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let f(k) = k**3 + 8*k**2 + 4*k + 12. Let t be f(-7). Suppose -5*v + 2 + t = 0. Suppose -2*z - 80 = -v*z. Calculate the lowest common multiple of 20 and z.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*p**4 - 612*p**3 - 23100*p**2 + 23716*p.\nAnswer: -4*p*(p - 1)*(p + 77)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve 17*f + 16 = 13*f for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -14, -43, -100, -191, -322, -499, -728, -1015?\nAnswer: -1366","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let z(b) = -2625*b**3 + 5*b**2 + 5*b - 9. Is z(-2) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -18, 0, -3, -2, 1, -1967 in decreasing order.\nAnswer: 1, 0, -2, -3, -18, -1967","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence nhsc when four letters picked without replacement from {h: 4, n: 6, c: 3, s: 4}?\nAnswer: 3\/595","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((i\/(i**(1\/5)*i))\/i)\/i*i*i**4\/i assuming i is positive.\nAnswer: i**(9\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -49\/263472 and -105\/3476.\nAnswer: 20814288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of 311, 841, 1589, 2549, 3715?\n\"Answer: -y**3 + 115*y**2 + 192*y + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*w = 5*q - 2 - 3, -2*w + 3 = -q. Suppose 3*j + 2*m + 2*m - 47 = 0, m + 63 = q*j. What is the units digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 24725254 divided by 70846.\nAnswer: 349","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (a**(-1\/3)*a**(1\/3)*a*(a*a**(2\/7)*a)**(3\/10))**(24\/11) assuming a is positive.\nAnswer: a**(1416\/385)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 152*k - 151*k = 143. What is the remainder when 305 is divided by k?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -38550398976679\/1031395680 + -1\/206279136. Let f = j - -37379. Calculate the common denominator of f and -11\/20.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from oosccsocsnnonsosooc. Give prob of sequence nsn.\nAnswer: 5\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-35)\/60 + 6\/8)*-2.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (6*(sqrt(605) + 3*sqrt(605)) + sqrt(605) + -5 + sqrt(605)*3)**2.\nAnswer: -3080*sqrt(5) + 474345","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -367 = 3*q + 224. Let m = q - -373. Suppose m + 25 = 3*j. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-2 - 5)*(-9)\/387*(-54)\/(-189)?\nAnswer: 2\/43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -16934 - -19976. Calculate the greatest common divisor of x and 144.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*i - 16 = -8. Let b(z) = -7 - i*z + 2 + 7*z - 6*z. What is b(-4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1273 is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Express 4*c - 5*c**4 - c**4 - 3*c + c**2 as l*c**2 + j*c**4 + s + p*c**3 + k*c and give j.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 2, 0.3, -1.3, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -21.1 + 22. Let t = -0.6 + k. What is the closest to -2 in 0.4, t, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 452 divide 23012224?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Convert 100 (base 5) to base 10.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 10981 - 23842 + 12861 - 22*u + 4*u.\nAnswer: -18*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 289 or 330660\/1139?\nAnswer: 330660\/1139","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 122 + -852\/7. Suppose -3*s - 13 = 13*z - 18*z, 3*z = -4*s + 31. What is the third smallest value in z, -5\/6, h, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -9 + 5349*j + 9 + 8660*j.\nAnswer: 14009*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 31369622233 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 128 + -35. What is the highest common divisor of d and 31?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 752.9827 micrograms to nanograms.\nAnswer: 752982.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: 1722 divided by 1\nAnswer: 1722","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 118805277681 + -3.73?\nAnswer: 118805277677.27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -495 + -4?\nAnswer: -499","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is -896000 rounded to the nearest 100000?\nAnswer: -900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 3234 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 598\/(-18) + 8\/36. Let b = -18 - j. Is 5 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*u = -2*w + 26, w = -w + 4*u + 22 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 3 - (-4 + 5)*-10. Is 3 a factor of y - (-1 - 2)\/(-1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of -569, -407, 3061, 12451, 30379, 59461, 102313?\n\"Answer: 436*c**3 - 963*c**2 - c - 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ymd when three letters picked without replacement from {j: 6, m: 3, y: 2, d: 8}.\nAnswer: 8\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*k + 2 = 2*a, -3*k - 5*a + 1 = -0*k. Suppose -7 = 3*z + 5*p + 6, -12 = k*z + 5*p. Let g = 244\/3 - 82. Is g at most as big as z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: (12\/(-190)*1)\/(((-6)\/(-33))\/((-5370)\/1969))\nAnswer: 18\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -5 - -3. Let n = 0.31 + -0.11. Let m = -4.2 + 0.2. Sort g, m, n in ascending order.\nAnswer: m, g, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 31\/5 of a litre?\nAnswer: 6200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let r(q) be the third derivative of -q**7\/42 + 5*q**6\/12 - 3*q**5\/4 + q**2 - 8. Factor r(n).\nAnswer: -5*n**2*(n - 9)*(n - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of (-6*6\/(-162))\/((-2)\/102) and (-22)\/(-6)*(-3)\/(-16).\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 12 - 16 - (-24)\/1. Calculate the highest common divisor of 20 and i.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 61 - 67. Let d be (-50)\/m - ((-21)\/(-9) + -2). What is the units digit of -2*(284\/d)\/(2\/(-4))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(v) = -19*v**2 + 553*v + 3308. Give r(-6).\nAnswer: -694","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let o be -18 + 0*(-2)\/(-4). Let r be o\/(-14) + 2\/(-7). Let h be (0\/(-4))\/(r*-2). Solve 6 + h = 2*d for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 22 divide 6693?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Does 10 divide 655?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let g(c) = c**2 - 9. Let u(w) = -102*w**2 + 39*w**2 + 32*w**2 + 44*w**2. Give u(g(j)).\nAnswer: 13*j**4 - 234*j**2 + 1053","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:03 PM and 10:20 PM?\nAnswer: 317","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let z(i) = 8*i**2 - 8*i - 30. Does 57 divide z(-7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 17252 in 0, 4, -0.2?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -1.4 - -1.57. Let g = w - 0.17. Put -0.5, -1\/11, g in increasing order.\nAnswer: -0.5, -1\/11, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 9 + 2 = 11*o for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -196 - -200. What is the highest common factor of 64 and j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 1359\/30 - 9\/30. What is the second derivative of -d**4 + 14*d + 20*d - 2*d**4 + h - 44 wrt d?\nAnswer: -36*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 234 and 342?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -2\/5?  (a) 3  (b) 4  (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 279, 1189, 2719, 4875, 7663?\nAnswer: 11089","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -3.4 - -3. Let w be 28\/168 - 434\/12. Let a be (3\/6)\/(-2 + (-93)\/w). Sort a, 0, x in increasing order.\nAnswer: x, 0, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 2885 - 7?\nAnswer: 2878","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -8899 - -936?\nAnswer: -7963","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let l(t) = 2*t + 1. Let h be l(2). Let n(z) = h*z**2 + z**3 + 3*z - 2 - 11*z**2 + 8. Suppose 7 = m + 2. Determine n(m).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(s) = -s**2 + 34*s - 276. Calculate r(20).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Does 23 divide 33419?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*s - 3*j - 12, 3*j + 14 - 2 = -4*s. Suppose 972 = 2*x - z - 1467, s = 4*x - z - 4873. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 929722?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (3 - 184\/48)\/((-40)\/468). Determine n, given that 1\/4*n**5 - 5*n**2 - l*n - 9\/2 + 3\/2*n**3 + 3\/2*n**4 = 0.\nAnswer: -3, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: 283483 (base 12) to base 2\nAnswer: 10100011011011100011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 3 in -215939\/5, -0.1, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let m(a) = a**3 + 11*a**2 + 6*a + 5. Let j be m(-10). Let z be 64\/(-3) + (-4)\/6. Let k = j + z. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(y) be the second derivative of y**3\/3 + y. Let l be p(-3). Let j(b) = -b**2 - 7*b - 4. Let q be j(l). Solve q*m - 6*m + 8 = 0 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -6272*h**2 + 3142*h\/5 - 76\/5.\nAnswer: -2*(49*h - 2)*(320*h - 19)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*h + 8*h - 1650 = 0. Suppose -13*t = -6*t - 210. What is the remainder when 35 is divided by h\/t - (-2)\/3?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 5*q - 3*q + q + 3*q - 3*q + 2*q - 2*q + 0*q + 4*q + (1 - 2 + 4)*(3 - 2*q - 3) to s + u*q and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 26 a factor of 1196?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2 - 1 - 8)*(2*p**3 - 4*p**3 + p**3) + (4*p**2 + 0*p**2 + 4*p**2)*(-3*p + p + 0*p).\nAnswer: -9*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let g(l) be the first derivative of -59*l**2\/2 - 86*l - 810. Find the first derivative of g(j) wrt j.\nAnswer: -59","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -1859 (base 11) to base 3.\nAnswer: -10020112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 88*p - 55*p + 120 - 1506 for p.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -1*(-17)\/(-68)*(-198)\/(-3)*1*2.\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-3 - (-30)\/(-35)) + 4?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 994, 1975, 2944, 3901, 4846?\nAnswer: 5779","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 20146 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.6, -1, -0.6, 0.4 in increasing order.\nAnswer: -1, -0.6, 0.4, 0.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 302089.\nAnswer: 181, 1669","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let l(k) = -10*k - 280. Let n(s) = s**3 - 33*s - 839. Determine -7*l(m) + 2*n(m).\nAnswer: 2*m**3 + 4*m + 282","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*s = 5*n - 315, -2*n - 315 = -7*n - 5*s. What is the remainder when n is divided by 22?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(k) = k**3 + 4*k**2 - 3*k + 2. Let o be t(-5). Let x be o\/1 - (3 + -3). Is (x\/12)\/(1\/(-3)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*q + 20551 = -11*m + 13*m, 3*q = -3*m + 20547. What is the thousands digit of q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -71 greater than or equal to -6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let d(b) = 64*b - 2. Let g(p) = -p**2. What is d(g(v))?\nAnswer: -64*v**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 0.4 + -5.4. Let g = -18 + 18.2. Which is the nearest to j?  (a) -4  (b) g  (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -31498713 less than -31498716?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 3963 to the nearest integer?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 30208532?\nAnswer: 2, 43, 175631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 312086 divided by -2.\nAnswer: -156043","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: 1020210112 (base 3) to base 4\nAnswer: 12000332","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let f(t) = 2*t - 145. Let a(p) = -p + 73. Give 13*a(h) + 6*f(h).\nAnswer: -h + 79","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 13*h**2 + 151963*h - 479232018 wrt h?\nAnswer: 26*h + 151963","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Express (-8*y - 72*y**2 - 5*y + 7*y + 3*y)*(-3*y + 4*y + y + (2 + 0 + 0)*(-y - y - 3*y)) as a*y**2 + u + i*y**3 + g*y and give a.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Does 1075 divide 1594225?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 391?\nAnswer: 17, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {d: 1, i: 1, x: 2}. What is prob of picking 1 x and 1 d?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4*u**2 + 5*u**2 - 2*u**2 + u - u + 3*u**2 + (-1 + 1 + 2*u)*(-u - 2*u + 5*u) + 4*u**2 + 2*u**2 - 5*u**2 - 33*u**2 - 119*u**2 + 4*u**2)*(-1 + 0 + 0).\nAnswer: 141*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of 63, 103, 141, 177?\n\"Answer: -n**2 + 43*n + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 423\/36 + 21\/(-12). Suppose -2\/3*b + 0 - 6*b**4 - 14\/3*b**2 - j*b**3 = 0. What is b?\nAnswer: -1, -1\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 1.2 - 0.2. Let p = k - 1.3. Let x = -1 - -4. What is the closest to 1 in -4\/9, x, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(n) = n**3 + 6*n**2 - 13*n + 25. Calculate l(-8).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let u(l) = -13*l**2 - 6*l - 4. Give u(-1).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -2\/323 - 1916\/3553. Suppose -2*q + 4 = 4*o, -6*o + o = q - 11. Which is the nearest to m?  (a) q  (b) 3  (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 28*d - 20 = 24*d. Suppose -10*l + 6*l + 4163 = 3*r, 5*r = d*l + 6880. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: -12*((-95)\/110)\/19\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-72268536)\/96 + 22\/(-8). Round m to the nearest 10000.\nAnswer: -750000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {s: 2, b: 4}. What is prob of sequence sbsb?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 21797119 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let t be -2*1*(-4)\/(-28). Suppose -162 = 2*x + 4*l, 4*l = 2*x + 3*l + 167. Let m = x - -745\/9. Put t, m, -4 in decreasing order.\nAnswer: m, t, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(t) = -32*t - 9. Calculate the remainder when x(-8) is divided by -21 - -65*80\/200.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 7497290.\nAnswer: 2, 5, 749729","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 14636207605 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is ((1974\/(-2585))\/14)\/((-6)\/20)?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let k(c) be the second derivative of -425*c**3\/3 - 61*c**2\/2 - 105*c + 1. Is k(-8) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -3160 - -3157. Let s = -1 - -1.3. Let y = -0.2 + s. Which is the nearest to -2?  (a) 4  (b) v  (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 4 v when four letters picked without replacement from aavvajavajavaj.\nAnswer: 1\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 1504948 + 208900. Let m = n + -403848. Round m to the nearest 100000.\nAnswer: 1300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 986 a multiple of 74?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 12122202 - 210?\nAnswer: 12121222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let a be ((-45)\/(-18))\/((-1)\/(-4)). Which is smaller: a or 32\/3?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 70 and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let u(m) = -4*m + 4*m - 7*m. Let l = -2 - -4. Let r(t) = l*t + 2 + 4 - 6. Give r(u(b)).\nAnswer: -14*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*s**4\/2 + 2364*s**3 - 933777*s**2 + 1860468*s - 1858107\/2.\nAnswer: -3*(s - 787)**2*(s - 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let t(q) = q**3 + 9*q**2 + 4*q - 8. Let k be t(-8). Suppose -2*b + k = 2*b. What is the units digit of b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of -3726, -3719, -3712?\n\"Answer: 7*v - 3733","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -68 + 117. Let f be 14\/y + 66\/14. Suppose -2*c + 7 + f = 0. What is the greatest common factor of c and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(x) = -x**3 - 340*x**2 + 3428*x - 25240. Give a(-350).\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -346*h = 757*h + 35296 for h.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {n: 2, i: 2, x: 4}. What is prob of picking 2 i?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 249014*g**2 - 118710*g**2 - 130307*g**2.\nAnswer: -3*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let m(j) = 0 + 3*j + 2*j**2 + 3*j**2 - j**3 + 7. Let t be m(5). What is the greatest common divisor of 22 and t?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -10 divided by 180.\nAnswer: -1\/18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let p(q) = 5*q - 5*q + 11*q. Let k(v) = 3*v**2. Determine p(k(t)).\nAnswer: 33*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*c + 0*c = -56. Let y be c\/6 - 6\/(-9). Let t be (y\/5)\/(4\/(-20)). Solve -t*u - 2*n = 2*n, 5*n = 3*u - 8 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 298967527?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let r(t) = -70*t**3 + 5*t**2 + t - 1. Suppose s - 3 = 2*b, -5*b - 4 - 2 = -3*s. Is r(s) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 s and 1 e when two letters picked without replacement from ggvvesgvgvv.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(14)\/(sqrt(2) + -2*sqrt(162)).\nAnswer: -sqrt(7)\/17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -45*p + 19*p = -66 + 144 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 0 - 1. Let c = 0.8 + h. Let s = 0.6 - -0.4. Sort s, 0.4, c in descending order.\nAnswer: s, 0.4, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(i) = i**2 + 31*i + 213. Let m be c(-21). Solve 73*d = 70*d - m for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(m) = 2*m**2. Let w(r) = r + 5*r - 25 - 28*r**2 + 23 - 6*r. What is w(y(k))?\nAnswer: -112*k**4 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 3 + -3.12. Let k = -1.12 - f. Let x = 1.00000078 + k. Round x to 7 dps.\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-64 + 0 - 4)*(-128*r + 3*r**3 - 123*r - r**2 + 248*r).\nAnswer: -204*r**3 + 68*r**2 + 204*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: How many days are there in three sevenths of a week?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let p(r) = -r - 5. Suppose -o = d + 1, 5*d - 3*o - 4 - 15 = 0. Calculate the smallest common multiple of d and p(-7).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be ((-3)\/((-6)\/4))\/((-90)\/(-6165)). Let s = t - -766. List the prime factors of s.\nAnswer: 3, 7, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -4841\/420 + 171\/70. What is the common denominator of y and -77\/10?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -117\/347467 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*o**2 + 28060*o - 1097382.\nAnswer: 2*(o - 39)*(o + 14069)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 50 and 175.\nAnswer: 350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-3 + 0 + 5 + m)*(5*m**3 - 11*m**3 + 35*m**3) to the form z*m**4 + t*m**3 + w + f*m**2 + i*m and give z.\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let k(a) = -4059*a**3 + 697. Let i = 4147 + -4153. Let q(p) = -35*p**3 + 6. Calculate i*k(b) + 697*q(b).\nAnswer: -41*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: -18297+1428\nAnswer: -16869","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((4 - 4 - 2*l)*(-2 - 1 + 1) - 149551 + 443*l + 149551 + l - l + 10*l)*(3*l**3 - 2*l**3 - 3*l**3) + 5*l**4 - 3*l**4 + 0*l**4.\nAnswer: -912*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(91) - (sqrt(91) - (sqrt(91) + (-1*sqrt(91)*-3 - sqrt(91))))) + -1*2*sqrt(91))\/(-6*(sqrt(252) + (1*sqrt(252) - sqrt(252)))*4).\nAnswer: -sqrt(13)\/144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let y(f) = -139*f**3 + 9*f**2 - 3 + 4*f - f**2 + 138*f**3. What are the prime factors of y(8)?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1637209 to the power of 1\/2, to the nearest integer?\nAnswer: 1280","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 34 divided by -1186115.\nAnswer: -34\/1186115","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 48 + -46. Let h(z) = 25*z**2 - 9*z**q - 14*z**2. Let j(r) = -35*r. Calculate j(h(y)).\nAnswer: -70*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let a(c) = -16*c + 19. Let t(f) = -3*f - 3. Let g(k) = a(k) + 6*t(k). Let p(y) = -34*y + 1. What is 4*g(o) - 5*p(o)?\nAnswer: 34*o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of -12279, -23340, -34401, -45462, -56523, -67584?\n\"Answer: -11061*v - 1218","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 1082130\/661 or 1636?\nAnswer: 1082130\/661","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of 3159, 6311, 9449, 12573, 15683?\n\"Answer: -7*l**2 + 3173*l - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*x - 4*j - 400 = -4*x, 0 = 4*x - 5*j - 403. What is the third derivative of 48*o**3 - x*o**2 + 522*o - 522*o wrt o?\nAnswer: 288","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-12319)\/254 + (-27)\/((-432)\/40)?\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Does 11 divide 11024?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: (-868)\/(-372) + ((-2)\/8 - ((-330055)\/3468)\/(-55))\nAnswer: 6\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of 10155, 20311, 30467, 40623, 50779, 60935?\n\"Answer: 10156*o - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (y**(-2))**(4\/25)\/(y**(-1\/7))**(-12\/5) assuming y is positive.\nAnswer: y**(-116\/175)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 19826*r**3 + 2*r**2 + 16950*r wrt r?\nAnswer: 118956","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 566 = 10*z + 596 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Factor i**3\/3 + 1822*i**2\/3 - 7300*i\/3 + 7304\/3.\nAnswer: (i - 2)**2*(i + 1826)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between -0.588 and -0.2?\nAnswer: 0.388","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(500)*-1 - sqrt(500))*-5*-5)\/(3*3*(sqrt(144) - sqrt(16))).\nAnswer: -125*sqrt(5)\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let h(b) = -b**2 + 8*b + 2. Let s(m) = 16*m + 55. What is the remainder when s(13) is divided by h(6)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (r*r**(4\/3))\/(r\/(r\/(r**(-1\/26)\/r*r)))*r\/(r\/(r\/(r**(-4\/5)*r)*r)*r)*r\/(r\/r**(2\/33)) assuming r is positive.\nAnswer: r**(13867\/4290)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: 4974 divided by -1658\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let v(p) = -13*p**2 + 1495*p + 7. Let l(a) = 7*a**2 - 747*a - 4. Give 11*l(q) + 6*v(q).\nAnswer: -q**2 + 753*q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of 8, 20, 32, 44, 56?\n\"Answer: 12*q - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -586, -1496, -3026, -5188, -7994, -11456, -15586?\nAnswer: -20396","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 97 - 97.1. Sort 2\/11, -1\/4, q, -5 in descending order.\nAnswer: 2\/11, q, -1\/4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((z*z\/(((z**4*z)\/z)\/z))\/(z**(3\/8)\/z))\/(((z*z\/z**(-7))\/z)\/z*z)**(-41))**(-5\/9) assuming z is positive.\nAnswer: z**(-13105\/72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*f = -2*u + 18 + 3, -2*f = 4*u - 34. Let s be u\/5*5\/2. Factor 0*v**3 + 0*v + 3*v**4 + v**5 - 2*v**2 - 1 - s*v + v + 2*v**3.\nAnswer: (v - 1)*(v + 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*g - 38 = 20. Suppose -4*v + g = -43. Does 12 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -44\/9 > -5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 146 is divided by 33.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 237 is divided by 65.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let h be ((-1992)\/105)\/(6\/(-15)). Suppose -3*w + u + 207 - 70 = 0, 3*w + 2*u = 149. Let x = h - w. Which is the biggest value?  (a) x  (b) -2\/15  (c) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3 + 18 = 5*j. Let p(t) = -11*t**2 - 1. Let c be p(-1). Let w be (-2)\/12 - 29\/c. Which is smaller: w or j?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(w) = -2*w**2 - 16*w - 7. What is n(-8)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (r**(13\/2))**(-49)\/((r\/(r*r**(-1\/6)*r))\/r*r**7) assuming r is positive.\nAnswer: r**(-971\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 20 = -5*h + 9*h. Let q = -2 + h. Let y(v) = 5*v**3 - 4*v**3 + v**3. Let n(t) = 2*t**3. Determine q*n(r) - 2*y(r).\nAnswer: 2*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 77 minutes after 7:41 AM?\nAnswer: 8:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 1470 or 1471?\nAnswer: 1471","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 371\/2 or 8.4?\nAnswer: 371\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let u(k) = 18*k - 31. Let h be u(2). Suppose h*t - i = 1, -t - 3 = -23*i + 22*i. Let g = -2.1 - -2. Which is the closest to t?  (a) -8  (b) 1\/4  (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: -6 + 2 - 0 - 3\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let u(j) = 10*j - 1. Let n(h) = h + 1. Let t(s) = -4*n(s) + u(s). Let x(p) be the third derivative of p**4\/24 - p**3\/6 + 18*p**2. Calculate t(r) - 4*x(r).\nAnswer: 2*r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: -29ab (base 13) to base 9\nAnswer: -8268","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 118167 and 69972.\nAnswer: 357","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Put 3, -1, -39, 80, -4566, -5 in descending order.\nAnswer: 80, 3, -1, -5, -39, -4566","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -107*t + 142052 = -77298. What is the thousands digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 4.94726 + 0.05274. What is the nearest to -1\/4 in 3\/5, 53, 5\/3, h?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -8 - -12. Let u be a\/18 - (-136)\/36. What is the common denominator of 226\/u*(-2)\/12 and -83\/2?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of -18312, -18309, -18296, -18267, -18216, -18137, -18024, -17871?\n\"Answer: l**3 - l**2 - l - 18311","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is one quarter of a millennium in decades?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many nanoseconds are there in 0.9004417 milliseconds?\nAnswer: 900441.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 12 - (-4)\/((-40)\/(-190)). Solve 26*m + w = -5*m for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 3753, 7531, 11309, 15087, 18865, 22643?\nAnswer: 26421","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 2519295?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*n - 759 = -114. Let m = -92 - n. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence sjls when four letters picked without replacement from lsjlslsltltl.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let u(c) = -c**3 + 6*c**2 + 4. Let j(k) = k**3 - k**2 - k + 3. Let m be j(2). Calculate u(m).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((c*c\/((c**4*c)\/c*c)*c*c)\/c**3)**(-1\/4) assuming c is positive.\nAnswer: c","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:17 AM and 5:01 PM?\nAnswer: 344","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 44 + -43. Let m(q) = q - 2. Suppose -10*l - 24 = -16*l. Let n(r) = 1. Determine l*n(g) + o*m(g).\nAnswer: g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*c - 9 + 34. Suppose 0 = 4*a - 2*z + c*z - 149, 0 = -4*a - 2*z + 150. Is 19 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 6126678.\nAnswer: 2, 3, 59, 641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -0.9162 - -0.4162. Which is the closest to 2?  (a) 0.5  (b) -0.02  (c) n  (d) -20\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (((-11)\/22)\/1)\/(225\/250)*2.\nAnswer: -10\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Put -23, -3, 16 in ascending order.\nAnswer: -23, -3, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*u + 86 = 128. Let n(l) = -5*l + 75. Let j be n(u). Solve 4*o = 6*o + d - 4, -21 = -j*o + 3*d for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let -145*f**3\/2 - 5100*f**2 + 17665*f\/2 + 13860 = 0. Calculate f.\nAnswer: -72, -1, 77\/29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 37.98 - 38. Let r = u - -0.32. Which is bigger: -2 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 154240758.\nAnswer: 2, 3, 7, 1224133","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 18, -3, 2\/7, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from malnmha. Give prob of picking 2 m and 1 h.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let n(d) be the first derivative of -5*d**4\/24 - 23*d**3\/18 - 5*d**2\/6 + 4*d\/3 - 1261. Factor n(y).\nAnswer: -(y + 1)*(y + 4)*(5*y - 2)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -14701 by -18.\nAnswer: 14701\/18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Express -q - q**3 + 25*q**4 - 26*q**4 + 16716 - 16713 in the form r*q**3 + h*q**4 + b + c*q + g*q**2 and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: (47 + -1 + -11 - 7) + 4 - -13\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 195872118 + -195872016.390499. Let n = 1.398599 + r. Let l = n - 103. Round l to 3 dps.\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {d: 5, h: 2, r: 5, w: 3, p: 1}. What is prob of sequence wdd?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -120*j**2 + 241*j**2 - 119*j**2.\nAnswer: 2*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 1340\/(-1210) + 5 + -4 and -75\/22?\nAnswer: 242","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -2*c**4 + 0*c**4 + 5*c**4 - 5*c**2 wrt c.\nAnswer: 72*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(m) be the second derivative of -1319*m**5\/20 + 1059*m**2\/2 + 1315*m. Differentiate u(c) wrt c.\nAnswer: -3957*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 3 - -31a4076?\nAnswer: 31a4079","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: -220201401 (base 5) to base 3\nAnswer: -1202221220002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-1)\/1)\/((-17)\/(-561)*((-63)\/9)\/7)?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let w(u) = 42*u**2 - 19*u + 108. Is w(-35) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of -77, -267, -757, -1703, -3261, -5587, -8837, -13167?\n\"Answer: -26*y**3 + 6*y**2 - 26*y - 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 0 + 3. Let z = 472.4 - 472.7. Which is the nearest to 0?  (a) -0.1  (b) z  (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(u) = -u**2 + 7*u + 5. Let a = -4 + -2. Let r be a - -2 - (-5 - 6). Let g be y(r). Solve 4*l = 5*x, -x = -g*l + l - 16 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 890638.\nAnswer: 2, 7, 63617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 691200.95 rounded to the nearest 100?\nAnswer: 691200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -35064, -34924, -34784, -34644?\nAnswer: -34504","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -630*t - 21229 = 293*t for t.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 49 - 0.19413.\nAnswer: 48.80587","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve -108*z = 153*z - 161*z + 6800 for z.\nAnswer: -68","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Convert 219.9259um to millimeters.\nAnswer: 0.2199259","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 69997 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 16 = -11*n + 38. Let c = 0 + 3. Suppose 0 = -3*p - n*s + 6*s + 10, 0 = -2*p - s + c. Solve -5 = -r - p for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 7027658 and 2167?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let p(t) = 6*t**2 + 4*t - 13. What is the lowest common multiple of 6 and p(3)?\nAnswer: 318","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.00372054 rounded to four decimal places?\nAnswer: 0.0037","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (1*(-14)\/(1750\/25))\/(9\/2).\nAnswer: -2\/45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -108302045*o + 113727643?\nAnswer: -108302045","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 193 + -188. Suppose 5*f + 5*v = 25, -132*v - 5 = -j*f - 127*v. Solve 2*t - f*g + 5 = 0, -g - 1 = -5*t + 3*t for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -2 - 24648462?\nAnswer: -24648464","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {s: 3, k: 3, u: 5, o: 1, f: 1}. Give prob of sequence kkf.\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -595 or -513?\nAnswer: -595","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 7522*c + 590.\nAnswer: 7522","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 279 minutes after 9:39 PM?\nAnswer: 2:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 3 - 3.1. Which is the closest to 2\/5?  (a) 0.3  (b) 3\/7  (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 0.5  (b) 74  (c) 7  (d) 40\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*f + 14 = -2*f + 5*t, 0 = 2*f + 5*t - 13 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((sqrt(240) + sqrt(240)*1)\/sqrt(6))\/(sqrt(8) + -1*sqrt(648) - sqrt(8)) + ((sqrt(5) + 4)*5 - sqrt(405)*4))*-4)**2.\nAnswer: -179840*sqrt(5)\/9 + 6835280\/81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/4 of a litre in millilitres?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*g - 2*w = 5*g - 3, -g - 2*w + 17 = 0. Let j(y) = -y**3 + 8*y**2 - 7*y + 10. What is j(g)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 1085059?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:29 PM and 8:30 PM?\nAnswer: 481","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is -1 at least -39\/8810?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3*(4 + sqrt(39)\/(1*1*sqrt(3)) + -2)**2*-3.\nAnswer: 36*sqrt(13) + 153","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let s(n) = -26*n**3 + 3*n**2 - 3*n - 5. Let t be s(-1). Let d(r) = 38*r - 19*r - r**2 + 2 - t*r. Calculate d(-7).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 45.55 and 0.4?\nAnswer: 18.22","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 423 minutes before 11:39 PM?\nAnswer: 4:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is -21*7\/(-147) - 4\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 6900870?\nAnswer: 2, 3, 5, 37, 6217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((q\/(q**3\/q*q))**(10\/17))**(34\/9)\/((q**(-3)\/(q**(-6)*q*q*q))\/(q**(1\/4)*q*q\/q**(-1\/6))) assuming q is positive.\nAnswer: q**(-73\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -53677603*n**3 + 14757441*n**2 wrt n?\nAnswer: -322065618","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:22 PM and 11:18 PM?\nAnswer: 236","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Express -45*m**2 + 50448*m - 100904*m + 50456*m - 10 in the form h*m**2 + a + b*m and give h.\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Sort 50830, -70, -2 in descending order.\nAnswer: 50830, -2, -70","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(250)*-3)\/sqrt(10))\/(sqrt(5) + sqrt(320)*5 - sqrt(5)).\nAnswer: -3*sqrt(5)\/40","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the billions digit of 3111361503?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: 2 + (0 - (-6 - -3 - -2))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 420.5612563447 - -2?\nAnswer: 422.5612563447","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is -45 - -44 - (2 + (-14 - -1))?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (r**1)**(5\/3)\/(r*r**(-7)*r*r**(2\/9))*(r\/(r*r**9\/r*r*r))\/r**5*(r**0)**(-20) assuming r is positive.\nAnswer: r**(-77\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -2 in -0.4, 10, 1?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Determine r so that 2*r**4\/11 + 114*r**3\/11 - 17618*r**2\/11 + 231870*r\/11 = 0.\nAnswer: -131, 0, 15, 59","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: How many microseconds are there in 75\/4 of a millisecond?\nAnswer: 18750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*t - 12 = -5*i, -3*i + 14 = 3*t - 10. Suppose t*q - 3 = 5. Suppose -d - 1\/2 - 1\/2*d**q = 0. What is d?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (x\/x**(-1\/8))**(-21) assuming x is positive.\nAnswer: x**(-189\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 14017 and 225189?\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -64*s**2 - 341*s + 28*s**2 + 18*s**2 + 21*s**2 + 65*s.\nAnswer: 3*s**2 - 276*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let x(a) = -4*a - 3. Let m be x(-2). Suppose 4*d + 5*o - 1 = 0, m*d + o - 14 = -o. Let k be 114\/7 + 4\/(-14). Solve -d*r - k = -0*r for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify d**(-2\/13)\/(d\/d**(-1\/12)) assuming d is positive.\nAnswer: d**(-193\/156)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -0.4 + 0.3. Let q = 91 - 634\/7. What is the nearest to j in -2, -3\/2, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 124 - 13c2?\nAnswer: -129b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -0.27 - -0.53. Let t = -0.28 + q. Which is the closest to 1?  (a) -2  (b) 3  (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 102 = c + 2*z + 94, 5*c - 24 = -2*z for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -25.8  (b) -6  (c) -1\/10  (d) -0.3  (e) -17  (f) -3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 0.07 + 4.93. Let n = -5 + t. Suppose -10 - 6 = 4*a. Put n, -0.2, a in increasing order.\nAnswer: a, -0.2, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 2\/15  (b) 2\/11  (c) 23\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -10.027 + 10.07153. What is f rounded to 2 decimal places?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -385098, -385120, -385142?\nAnswer: -385164","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*x = -d - 10, -7*d = -3*d + x - 5. Suppose -h = d*h. Suppose h*g + 6 = 2*g. Solve -4*n = -4*j - 16, -g*n = -j + n - 10 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*x**5 - x**5 + 0*x**5)*(6 - 4 + 2 + 2 + 1 - 4 + 4 - 3 - 3 + (-4 - 3 + 5)*(4 + 0 - 6) + 2 + 0 + 0 - 2 + 4 - 1 + 2 + 0 + 0 + 2 + 0 + 11).\nAnswer: -69*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 647293 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-35)\/14*(-4)\/45. Let f(k) = -k. Let w be f(0). Put w, h, 4 in descending order.\nAnswer: 4, h, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -11 + 3 + 9*l - 17*l + 9.\nAnswer: -8*l + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -s + 3*c + 1813, 3*s - 5*c - 4130 = 1313. Let m = s - 546. What are the prime factors of m?\nAnswer: 2, 5, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1804951920 to the power of 1\/4, to the nearest integer?\nAnswer: 206","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Convert 5.44276 litres to millilitres.\nAnswer: 5442.76","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 409 a factor of 17650105?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve 105061*s + 4*m + 1 = 105070*s, -m + 1 = -2*s for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*x + 21 = 3*s, s - 3 = 2*x - 2*s for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -899 - -899.000533. What is k rounded to four dps?\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 23013*l - 23013*l - 81*l**4 - 249 wrt l.\nAnswer: -324*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(b) = -b + 156 - 160 + 0*b. Let h be w(-6). Solve 2\/3 - 2\/3*i**h + 1\/3*i**5 + i - 4\/3*i**3 + 0*i**4 = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1 divided by 47?\nAnswer: -1\/47","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -2134248*i + 52601800 wrt i?\nAnswer: -2134248","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 0*b - b - 87 - 95 + 2*b - 4*b + 4*b + b + 0*b - 2*b + (-2 + 0 + 4)*(4*b - 3*b - 2*b) to w + n*b and give n.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let z(q) = q**2 + 13*q - 8. Let a = 17 - 3. What is the smallest common multiple of z(-15) and a?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(n) = 2*n**3 - 33*n**2 + 17*n - 20. Let b be i(16). Sort b, -1, -44.\nAnswer: -44, b, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -1 - -1324434331?\nAnswer: 1324434330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Express 1 + 2777661*t**2 - 2779304*t**2 - 1 in the form w*t + b*t**2 + d and give b.\nAnswer: -1643","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -4 - -1676?\nAnswer: 1672","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let f(h) = 117*h + 3010. Let a be f(-23). Calculate the greatest common factor of 44 and a.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*z - 5*c = -0*z + 41, -z + 2*c = -14. Let l = -51 - -51. Do l and z have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 66 = -4*g + 2*r, 3*g + 195*r - 194*r + 47 = 0 for g.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 27 + -2 + 11 + -20?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth smallest value?  (a) 2  (b) -31  (c) 5  (d) -68  (e) -0.04  (f) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*n**3\/5 - 3552*n**2\/5 - 1577088*n\/5.\nAnswer: -2*n*(n + 888)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-5*sqrt(637)*6)**2 + -4.\nAnswer: 573296","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let p(b) = 5*b**3 - 7*b**3 - 11*b**2 - 11 + b + 3*b**3. Let n be p(11). Is n at most as big as -2\/357?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 21 - 20. Let l(s) = 10*s - 71. Let q be l(7). Sort 5, q, t, -4 in ascending order.\nAnswer: -4, q, t, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.00081393447 to five decimal places.\nAnswer: -0.00081","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let u(a) = -6*a**2 - 654*a - 7 - a**2 + 605*a. Let f be u(-6). Is f greater than 34?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -700 divided by -28?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let a(o) = o**3 + 15*o**2 - 16*o - 11. Let q be a(-16). Let n = q + 37. What is the tens digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-1)\/(1\/(-2)) - -2. Suppose 5 + 7 = w*p. Suppose 4*o + 64 = 2*k, -4*k + 0*o = -3*o - 108. Solve -1 + 11 = -p*u - l, 4*l + k = -4*u for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(l) = 2*l - 1. Let y be h(-2). Let x(z) = -12*z - 6. Let i be x(y). Let b be 1213\/9 - (-864)\/3888. Calculate the highest common factor of b and i.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 22 and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -j = -6*j + 3*m + 20, j + 4*m - 4 = 0. Suppose 4*f = -3*p + 8323, 4159 = -2*f + j*f - p. Round f to the nearest one hundred.\nAnswer: 2100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -10389756 divided by 78?\nAnswer: -133202","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 600*q - 13515 = 579*q + 5322. What is the tens digit of q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4*(sqrt(13) + 2) + 2 - (-2*sqrt(117) + sqrt(117) + -2*sqrt(832) + sqrt(832)).\nAnswer: -6 + 7*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1760 = -5*z + 1750 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of -7898, -15924, -23940, -31940, -39918?\n\"Answer: g**3 - g**2 - 8030*g + 132","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-3*s**2 + 7*s**2 - 2*s**2)*(-52*s - 44*s - 137*s) - 3*s**3 + 0*s**3 + s**3 to c*s + m*s**3 + p*s**2 + r and give m.\nAnswer: -468","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -1 and 0.069?\nAnswer: -0.069","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: -5 times -28.3\nAnswer: 141.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is -1847 not equal to -1849?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((d\/d**(-7))\/d**4)\/(d**(-2\/17))**36 assuming d is positive.\nAnswer: d**(140\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 60216449113 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve 13*r = -41 + 15 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 6049*k**2 - 3040*k**2 - 3023*k**2.\nAnswer: -14*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1*sqrt(76))**2*-4 - (sqrt(57)\/sqrt(3) + 4 + -4)**2.\nAnswer: -323","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -13 in -3, 0.1, 7.7?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -47*f**5*i - 250190*f**4*i - 6153*f*i + 1014*f wrt f.\nAnswer: -940*f**3*i - 3002280*f**2*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -995 - -1374.5. Let u = 314 - q. Let h = 92 + u. What is h rounded to 0 dps?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -832 divided by 13?\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 2*-2*(-1)\/(-4). Let o be (1*(-35 - a))\/(-2). Suppose 2*k - 3*g - o = 0, g = 5*k - g - 15. What is the units digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 4230049 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve -10 = 5*t + 3*o, 2*o - 6 = -2*t + 5*t for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose a = -0*a. Suppose s - 5 + a = 0. Suppose -4*o = 2*u - 64, 4*u + 2*o = s*u - 16. What is the remainder when 70 is divided by u?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(h) = -h**3 + 7*h**2 - 1. Give s(7).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve u + 42*u = -50*u + 3015 + 1170 for u.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -77\/804 and 78\/(-117)*(-1 - -22)*7\/(-324).\nAnswer: 21708","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 45, 71, 113, 165, 221, 275?\nAnswer: 321","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let h(o) = o**3 - 2*o**2 - 9*o - 10. Determine h(5).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -40 + 151. Suppose 2*y - 5*c = -y + r, 0 = -2*y + 2*c + 70. Suppose -5*b = -3*z - 13, 2*z + y = 4*b + 5*z. Which is smaller: b or 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 143\/12 and 26\/(-169) - (-2746)\/2808.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -15*m + 16*m = -343. Let p = -120 - m. What is the hundreds digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: ab482 (base 13) to base 11\nAnswer: 1a2367","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let k(c) = -3*c**2 + 23*c - 28. Let z be k(6). Solve 0 = -z*y + b + 13, -2*y - 5*b - 27 + 10 = 0 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1 + (1 + sqrt(847)*-1 - (sqrt(847) - (sqrt(847) - 1*sqrt(847)*6))))**2 + -1*(sqrt(847) + (sqrt(847) - (sqrt(847) + -4)*2))*5.\nAnswer: -308*sqrt(7) + 41467","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 330414 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 21110.\nAnswer: 2, 5, 2111","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -51 and 0.06213.\nAnswer: -3.16863","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is -184323792 divided by 204?\nAnswer: -903548","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 9 a factor of 19359?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*o = -0*o - 32. Sort 3, o, 30.\nAnswer: o, 3, 30","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -5*k**2 + 12*k**2 - 10*k**2.\nAnswer: -3*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: -16806 (base 14) to base 7\nAnswer: -323406","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 4135429 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 7 + 187 + (-6)\/(-1). List the prime factors of (-6)\/16 - (-11675)\/b.\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 2, 1\/5, -3607863?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -153  (b) -2\/5  (c) -839  (d) -3\/7  (e) -23\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 724824 and 3852.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let j(x) = -9*x - 2. Let i(r) = -26*r - 5. Calculate 3*i(a) - 8*j(a).\nAnswer: -6*a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let p(y) = -y + 25. Let q be p(22). Solve -2*i = -q*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 50233 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.229 * 3640.2.\nAnswer: -833.6058","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 0.7 + -0.3. Suppose 4*i - i = 12. What is the second smallest value in h, i, 4\/3?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (1 - 1 - 3*d)*(-32*d**2 - 60*d**2 + 34*d**2 - 30*d**2) as x*d**3 + w*d + l + p*d**2 and give x.\nAnswer: 264","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*v + 3*b = 8*b + 15, 5*v = -4*b - 12. Suppose n - 5*n = -3*o - 8, o - 4*n + 8 = v. Let f be o + 1 + -3 + 5. Solve 4*c + 3 = f*c for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-3 + 3 + h)*(-9588 + 9588 - 18*h) + (-3 - 2*h**2 + 3)*(0 - 1 + 0) - 5*h**2 + 5*h**2 - 3*h**2 to the form n*h + b*h**2 + k and give b.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve 63841*h = 63846*h - p - 61, 7*h - 5*p - 89 = 0 for h.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (3*2*sqrt(88))\/(-2*sqrt(98) - sqrt(2)) - (sqrt(11)*2 + -1 - (1*sqrt(11)*-3)**2 - ((1 + sqrt(891) - sqrt(891)) + -5*sqrt(44)\/sqrt(4))**2).\nAnswer: -64*sqrt(11)\/5 + 376","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Convert -90243a (base 12) to base 7.\nAnswer: -25033003","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 458 and 973.\nAnswer: 445634","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 483044?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -83*t**3 - 92*t**3 - 8732231*t**2 + 8732231*t**2.\nAnswer: -175*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 1.8 + 31.2. Let o = i - 55. Let g = -22.0000094 - o. What is g rounded to 6 decimal places?\nAnswer: -0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add 714.12697441 and -1.1.\nAnswer: 713.02697441","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Factor s**4 - 3*s**3 - 45*s**2 - 77*s - 36.\nAnswer: (s - 9)*(s + 1)**2*(s + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 3136 and 1568.\nAnswer: 3136","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 314336 and 656.\nAnswer: 12887776","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of -164, -219, -272, -323?\n\"Answer: n**2 - 58*n - 107","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -750, -1495, -2226, -2943, -3646, -4335, -5010?\nAnswer: -5671","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*s = -s + 40. Let n = s - 5. Calculate the remainder when n is divided by 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(y) = y**3 - 22*y**2 + 108*y + 91. Determine s(20).\nAnswer: 1451","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 548099 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let g be ((-6)\/8)\/(9\/(-24)). Let w be 9\/g*264\/(-9). Does 6 divide w\/(-77)*(-21)\/(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -535 + 559. Solve 5*p + k = 4 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -28 - -34 - (0 - -1) - 6?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: (-1)\/((-1)\/(-6))*(-2)\/4\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -0.8 + -6.2. Suppose -60*p = -67*p - 98. Let o(l) = -l**3 - 13*l**2 + 11*l - 37. Let d be o(p). What is the second smallest value in -2\/9, w, d?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 7651530 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -4 - ((-16 + 4 - 1) + -9)?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1139*w + 1139*w - 9*w**2 - 59800483 + 59800483.\nAnswer: -9*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:31 AM and 1:58 PM?\nAnswer: 627","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between -0.9 and 70291?\nAnswer: 70291.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -9382 + 7767. Which is the nearest to 0?  (a) -0.4  (b) -4  (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -1646 + 1644. Which is the second biggest value?  (a) -20  (b) 0.4  (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((-1)\/((2706\/12)\/11))\/1\nAnswer: -2\/41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 4779 - 4776. Solve p - 4*q = 21, 30 = g*p - q + 22 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-1)\/(-3) - 644\/(-12). Suppose s - 4*s + v = 0. What is the highest common factor of 12 and s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(k) = 4257*k - 8531. Determine w(2).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -1 + 4. Suppose -u - v*u = -8, -i + 6 = u. Suppose i - 10 = -3*z. Calculate the lowest common multiple of z and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 53112 and 24324?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -18 - 70 = -22*f for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let m(r) = 2*r - 18. Let p(z) = 5*z + 1. Let h be p(2). Let v be m(h). Find the second derivative of -807*j**2 + 807*j**2 + 11*j**v - 10*j wrt j.\nAnswer: 132*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 18 - 14. Solve 0*w + 20 = -s*w for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {y: 9, h: 3}. What is prob of picking 1 y and 1 h?\nAnswer: 9\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2150*v = 2190*v + 65 + 215. Let l = -7 + 4. What is the closest to v in -2, l, 3?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 48 minutes before 12:35 AM?\nAnswer: 11:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let h(d) = 4*d**2 - 2*d - 1. Suppose 0 = -3*n - 12, 5*p - 2*n = n - 3. Let x be h(p). Let m = -27 + x. Calculate the remainder when m is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 43 - 1 - (0 + 3 + -1) a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 2*f + 0 + 0 + (4 + 0 - 5)*(-61*f + 1344 - 1344) - f + 3 - 3 as v + d*f and give d.\nAnswer: 62","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (0 + sqrt(153) + 4)**2 + -1.\nAnswer: 24*sqrt(17) + 168","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*m**3\/3 + 4*m**2\/3 + 2*m\/3.\nAnswer: 2*m*(m + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {h: 4, w: 8, l: 8}. What is prob of sequence hllh?\nAnswer: 28\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*q + 7*x - 2*x + 33, -q + 28 = 4*x. Suppose -l - 3*l + q = 0. Let c(v) = 2 + 14 - 14 - l*v**2. Calculate c(-2).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 38 + -32 - (-2 + -3 + 1).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 45 and 63.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 0 - 9. What is the units digit of t\/(-1) - (3 - 0)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -26, -19, -14, -11, -10, -11, -14?\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let h be ((-4)\/(-4))\/(1\/1). Let u(x) = -8*x + 1 - h - 10. What are the prime factors of u(-6)?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: 5 divided by -1040\nAnswer: -1\/208","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Does 14 divide 277322290?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -0.0378 - 0.0336. Let t = n + 0.0413. What is t rounded to three dps?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 1338.02 + -1338. Which is the closest to 0?  (a) 4  (b) -1  (c) -3\/8  (d) m\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is (-1)\/((-5)\/3090) - 5 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 22*z**3 + 308*z**2 - 53*z + 288325551 wrt z.\nAnswer: 66*z**2 + 616*z - 53","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of 1721855, 3443635, 5165409, 6887177, 8608939?\n\"Answer: -3*r**2 + 1721789*r + 69","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {g: 1, h: 1, r: 2, o: 1, w: 1, u: 1}. What is prob of sequence uhr?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let q(t) = -742*t**2 + 374*t**2 + 369*t**2. Let h(d) = d**2 - 16*d. Calculate q(h(x)).\nAnswer: x**4 - 32*x**3 + 256*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let h(p) = -58*p**2 - 270*p + 36. Determine h(-5).\nAnswer: -64","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5712*s - 108314 + 346477 + 270205 = 0 for s.\nAnswer: 89","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: -537 divided by 93807\nAnswer: -179\/31269","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (0 + sqrt(11))*2 - sqrt(1100)*-1.\nAnswer: 12*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 232\/16 - 2\/(-4). Suppose -q - q - 11 = -5*x, 3*x - d = -3*q. Solve 4*z + q*w = -2*w - 12, -5*z + w - 15 = 0 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(j) = -32*j + 163. Let i be x(5). Suppose -552 = -24*c + 22*c + 5*z, 5*c = i*z + 1380. Does 23 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(t) = -496*t. Let y(o) be the second derivative of -5*o**4\/4 + 1809*o. Give y(g(w)).\nAnswer: -3690240*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is -55.81524 rounded to one decimal place?\nAnswer: -55.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Put 151, 9, 5, 2, 1, 15, 0 in decreasing order.\nAnswer: 151, 15, 9, 5, 2, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Sort -39, -4, 1\/47, 2.\nAnswer: -39, -4, 1\/47, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let x(r) = r**2 - 8*r - 58. What is x(13)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 4.062 + -4.1. Let n = 39.962 - x. Let s = 39.99855 - n. What is s rounded to 4 dps?\nAnswer: -0.0015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -10  (b) -407  (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 1 (base 5) in base 14?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (5 + sqrt(684) + ((-1*sqrt(684) + sqrt(684))*-2 - sqrt(684)) + -4)**2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 7*p + 150 + 4. Let s(m) = -m**3 - 21*m**2 + 22*m + 1. Let d be s(p). Which is smaller: d or 4\/45?\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of (-7)\/(14\/(-12))*14542\/44?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-17)\/(504\/21 - 23)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -177 - -177.595. Let g = f + -0.53. What is g rounded to two dps?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (4\/(-12) - -3)\/((-2)\/(-3)). Suppose 0 = -m*w + 48 + 28. Calculate the remainder when w is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(p) = p + 2. Let k be n(2). Solve 0 = -5*v - 5*t + 5, -4*v + k*t = t - 25 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 6440 and 24472.\nAnswer: 122360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 542369 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let k(c) = -2*c - 2. Suppose -3*s - 2*s + 15 = 0. Suppose z + 2 = 3. Let d(h) = h. Give s*d(w) + z*k(w).\nAnswer: w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: -1397*-5\nAnswer: 6985","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from thxtx. What is prob of picking 1 x and 1 h?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 312*b**2 - 295*b?\nAnswer: 624","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -4.72 - 19.58. Let i = -22.5 + -1.5. Let y = n - i. Is -2 < y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 15911233?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 161556 - -361?\nAnswer: 162027","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange ((3 + 2 - 3)*(r**3 - 2*r**3 + 2*r**3) - r**3 + 3*r**3 - r**3)*(6*r + 0*r - 8*r - 4) to the form q*r**2 + m + f*r + i*r**4 + p*r**3 and give i.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let n(t) = -24*t**3 + 2*t**2 + 4*t. What is the tens digit of n(-2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/10 of a meter in micrometers?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.2172812283 to 2 decimal places.\nAnswer: 0.22","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let b(y) = -y**3 + 25*y**2 - 45*y - 23. Let c be b(23). Let n = 2 + -3. Put n, 2, c, 5 in decreasing order.\nAnswer: 5, 2, c, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Do 5081 and 5081 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 16718?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve 16*g = 11*g - 10 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*d + 2*d - 35 = -h, 2*d + 85 = 5*h. Solve -2*r + 18 = -4*g, -5*g + 3*r = 2*r + h for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 x and 1 n when two letters picked without replacement from {n: 3, x: 2}?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let g(w) = -546*w + 4. Let r(q) = -819*q + 6. Give -7*g(t) + 5*r(t).\nAnswer: -273*t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 37675?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 370\/3 - 743\/6. Which is the fourth smallest value?  (a) 0  (b) j  (c) -0.7  (d) -63\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.4 * 119.\nAnswer: 47.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 3020869 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let g(q) = q**2 + 1. Let i(v) = v**2 - 7*v - 11. Let w be i(8). Let u be g(w). Let s be u\/(-24) + (-4)\/(-6). Is s bigger than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1*8\/120*20\/(-10)?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Factor -343*p**4\/3 - 11509169*p**3\/3 - 42904171275*p**2 - 159862944300057*p + 640138489498836.\nAnswer: -(p - 4)*(7*p + 78303)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((a\/(a\/a**(-2\/17))*a)\/(a*a*a\/a**(-2\/5))*(a\/(a**0*a))\/a**(2\/7))**42)**(-26) assuming a is positive.\nAnswer: a**(260208\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let j(m) = 2*m + 3 - 3. Let r(k) = -10*k**2 - 37 + 37 - 8*k**2. Calculate j(r(n)).\nAnswer: -36*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*i - 4*u = 4, i + 3*i - 3*u = 4. Find the first derivative of -7*g**i - 2*g**4 + 2 + 2*g**4 - 3 wrt g.\nAnswer: -28*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 652 minutes after 5:33 PM?\nAnswer: 4:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 47064 a multiple of 74?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -7*r**2 + r**3 - 2*r**2 + 4*r**3 + 9*r**2.\nAnswer: 5*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.9 in -3\/4, 15, -3?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (1 + -3)\/((-2)\/(-8)). Let c be (-2)\/n + 18\/(-8). Let j(q) = -2*q**3 - 4*q**2 - 3*q. What is the units digit of j(c)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*p = 4*p + a - 7, -5*p + 5 = 3*a. Sort 5\/3, 0, 1, p in increasing order.\nAnswer: p, 0, 1, 5\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 93681334?\nAnswer: 2, 46840667","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, 0, 0.5, -1\/7 in increasing order.\nAnswer: -5, -1\/7, 0, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of -142, -139, -146, -169, -214, -287?\n\"Answer: -j**3 + j**2 + 7*j - 149","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: 864 divided by -4\nAnswer: -216","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is c + 155?\nAnswer: 161","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of 176, 201, 220, 227, 216, 181?\n\"Answer: -j**3 + 3*j**2 + 23*j + 151","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let t(n) = -11*n + 28. Let d be t(-16). Let g be d\/26 + (-2)\/(-13). Suppose 0 = -4*x - 0*x + g. Solve x*k - 10 = -0*k, -5*k + 16 = 3*q for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 93\/16 and 101\/617272.\nAnswer: 1234544","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of 12, 19, 24, 27, 28, 27, 24?\n\"Answer: -l**2 + 10*l + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1763*u - 180 = 1781*u for u.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 5 and 6875.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Express (-o + 8 - 8)*(-3 + 5 - 3) in the form m*o + n and give m.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth biggest value in -238, -39, 0, -49, 0.3, -4?\nAnswer: -238","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 390 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 48 at most 45?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -620 - -383. Let q = g - -242. Solve 0 = -q*a - 3*f + 23, 4*a = 2*a - 4*f + 12 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add -1132 and -1580577.\nAnswer: -1581709","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is -12925\/3 not equal to -4307?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 0 - (2 + (-15)\/3). Let q be (g + -6)*(-4)\/(-6). Let v be q*(-3 + (-7)\/(-2)). Put -4, -2, v in descending order.\nAnswer: v, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(i) be the first derivative of 7\/9*i**3 - 59 - 5\/6*i**2 - 2\/3*i. Factor s(p).\nAnswer: (p - 1)*(7*p + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*h = 2*h - 20. What is the third derivative of -4*r**2 + 2*r**5 + 0*r**5 + 2*r**h - 7*r**5 wrt r?\nAnswer: -180*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(b) = 55*b**2 + 25*b - 5. Let o(z) = 2*z**2 - 2*z + 1. Let u(w) = -3*o(w) - v(w). What is the second derivative of u(h) wrt h?\nAnswer: -122","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 166740?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Expand 0*o**5 + 2*o**5 - 7*o**5 + (-3*o + 5*o + 0*o)*(4*o**4 + 6*o**2 - 6*o**2).\nAnswer: 3*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: -9*-13227297\nAnswer: 119045673","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let a(q) be the first derivative of -q**6\/90 + q**5\/15 + 2*q**3\/3 + 5. Let l(o) be the third derivative of a(o). Factor l(w).\nAnswer: -4*w*(w - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 12\/(-2) - (-85)\/15.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2419 is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: (-7 + -1 - -4) + 10 + -1\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {j: 1, k: 3}. Give prob of sequence kkjk.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -3*2*4\/(-168)*14\/10.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 79 + -12 + (-21 + (23 - -7) - 18)\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (4*3\/(-12))\/((-1)\/37). Suppose -q*o - 4*o = -53136. Is o a multiple of 36?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 1*(1 - 2) - (-5 + 0). Suppose a + i = 0, 0 = -5*z - 5*a + 10. Let p(k) = 3 + 4*k + 6 - z - 5*k. Calculate p(5).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 41 - -76?\nAnswer: b7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 68306599349 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Expand 23*a**5 + 70 - 70 - 31*a**3 - 3*a**5 + 31*a**3 + 0*a - a**5 + 0*a + (3*a**2 + 2*a**2 - 4*a**2)*(-2*a**3 - 1 + 1) - 2*a**5 + 0*a**5 + a**5 + 0 + 0 + a**5.\nAnswer: 17*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 224\/(-320) + 6\/5. Put -58, o, -0.5 in increasing order.\nAnswer: -58, -0.5, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*l = n - 168, 7*l - n - 210 = 2*l. Suppose 7*h - 70 - l = 0. Calculate the least common multiple of 86 and h.\nAnswer: 688","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 24\/9*15\/10. Solve p*t - 4*o - 13 = t, -o = -5*t + 16 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from buhhhbbbu. Give prob of picking 1 h and 1 u.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 55248 and 48.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -12504, -12506, -12508, -12510?\nAnswer: -12512","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let r(l) = 11*l**2 - 9*l - 11. Does 16 divide r(-5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -4  (b) 1\/2  (c) 6  (d) 0.2  (e) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 8\/(56\/(-77)) + (-28)\/(-88)*34.\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -3\/310 + 11637\/1240. Which is the third smallest value?  (a) 4  (b) j  (c) 0.1  (d) -2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(d) = 302*d**2. Let h(s) = 128098*s. Give h(r(m)).\nAnswer: 38685596*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*k**3 + 624*k**2.\nAnswer: -3*k**2*(k - 208)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 2325336 and 15420?\nAnswer: 11626680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 3 - -15. Suppose -t + m = -3*w + 2, 0 = 3*t + w - 8. Suppose 0 = 5*o - 9 + t. Which is the third smallest value?  (a) -5  (b) 5  (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 24\/(212\/30 - 7). Let o = v + -341. Let a = 3 - 3.1. What is the biggest value in a, o, 5\/3?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence jsg when three letters picked without replacement from {d: 2, s: 7, j: 2, g: 1, h: 4, w: 1}.\nAnswer: 7\/2040","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (c**35\/c**(-1\/11))\/(c\/(c\/c**1))**(-6\/11) assuming c is positive.\nAnswer: c**(392\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 2a762 (base 11) in base 3?\nAnswer: 2012200101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 5469 and 257795899?\nAnswer: 1823","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*n + o + 31 = 0, n - 8 = -0*n + 2*o. Let r(f) = -5*f. Let x be r(-3). Suppose 9*k - x = n*k. Calculate the remainder when 14 is divided by k.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 308 and 112?\nAnswer: 1232","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 364.9028 millimeters in nanometers?\nAnswer: 364902800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 61826470 to the nearest integer?\nAnswer: 395","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 588217 and 88417?\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 4.99 - -0.01. Let h = x + -5.2. Which is the smallest value?  (a) -2  (b) -0.1  (c) h  (d) -7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(h) = h**3 + 6*h**2 + 6*h - 3. Let n(j) = -2*j**3 - 5*j**2 - 69*j + 2 + j**3 + 64*j. Give 5*a(l) + 6*n(l).\nAnswer: -l**3 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -6759*b + 6755*b + 108. Solve 0 = b*l - 91 - 44 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-2)\/(-3) + 15\/(-9). Let c = 47 - 48. Let o be 6*(c\/3 - t). Solve -w = o*f + 9, 3*w + 5*f - 1 = -7 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*y + 3*y + 14 = -z, -3*z - 2*y = 3. Let c(w) = w**3 - 8*w**2 + 8*w - 5. Let v be c(7). What is the remainder when 3 is divided by v - z - (-2)\/2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -596*u - 414*u + 570*u - 718*u as h*u + o and give h.\nAnswer: -1158","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-23 - -28) + -4 + 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (z**3 - 2*z + 2*z)*(-896*z + 295*z**2 - 746*z**2 + 898*z).\nAnswer: -451*z**5 + 2*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 1028 and -12?\nAnswer: -12336","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 201782\/(-1885) + 140 + -33?\nAnswer: -3\/65","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 12342 (base 9) to base 16.\nAnswer: 206c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 1542 - 1538.337. Let d = -3.6 + b. What is d rounded to two decimal places?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -67*t = 47*t - 228 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 366404833?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Divide -196 by -778.\nAnswer: 98\/389","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 8.778 - 8.948. What is the closest to 0 in -0.5, o, 1\/5?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: -3.72501+0.2\nAnswer: -3.52501","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 11174422?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3 = -4*g + g. Suppose -4 = z + g. Let u(p) = -p**3 - 5*p**2 + p + 4. Give u(z).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1385*t + 466*t + 459*t + 460*t + 12*t**3.\nAnswer: 12*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.000034827 rounded to 6 dps?\nAnswer: -0.000035","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence wt when two letters picked without replacement from {w: 7, d: 7, a: 1, t: 1}?\nAnswer: 7\/240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 734005 is divided by 259?\nAnswer: 258","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*r - 20 = -c, -4*c = -2*r + 5*r - 35. Suppose 4*i = 3*i - 3*o - 9, c*o = -25. Calculate the remainder when 22 is divided by i.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 294768 and 1093098?\nAnswer: 26234352","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (1\/10)\/((-6)\/24). Let w be (30\/24)\/5 - 5\/4. Which is the nearest to w?  (a) -4\/5  (b) -1\/5  (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 2356 and 186.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let t be ((-562)\/1405)\/((-5)\/(-25)). Suppose -5*p + 0*p = -15. Suppose 0 = 2*h - p*h + 1. Put h, -5, t, 0 in increasing order.\nAnswer: -5, t, 0, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 2.431965 millilitres to litres.\nAnswer: 0.002431965","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 273 and 1287?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 305*b*h*y + 31*b*h - 120*b*y - 83*h*y + 3*h + 51791*y wrt h.\nAnswer: 305*b*y + 31*b - 83*y + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 13*q - 20 = 3*q. Suppose -4*h = -k - 2064, -4*h + 457 + 1595 = q*k. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 28 + 23 + 23 + 1301*o + 24 - 1307*o - 98.\nAnswer: -6*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*h + m = 366, -3*m + 285 = 3*h - 264. What is the tens digit of h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-6559)\/(-567))\/(84\/9) - (-2 + (-65)\/(-20)).\nAnswer: -2\/189","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -95440*c**3*j - 12*c**3 + c**2*j - 8*c*j - 16*c - 175 wrt c.\nAnswer: -572640*j - 72","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let g(s) = 387*s**2 + 166023*s + 2. What is g(-429)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-4)\/((-16)\/12))\/((-41)\/369).\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let b(q) = -q. Let r(l) = -15*l - 7. Let j(p) = -7*p - 3. Let a(i) = 9*j(i) - 4*r(i). Let z = -4183 + 4182. Calculate z*a(y) + b(y).\nAnswer: 2*y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 1006871 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let o(m) = -160*m - 2324. Calculate the remainder when 908 is divided by o(-15).\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 24 = 76*u - 84*u for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let u be ((-2)\/(-20))\/((-7)\/(-17 + -319)). What is f in -18\/5*f**3 - 36\/5*f**2 + 0 - u*f - 3\/5*f**4 = 0?\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-2 - -3) + 0 + 0 + 0. Which is the nearest to 1\/3?  (a) f  (b) 0  (c) 2\/53  (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 56, 94, 112, 104, 64, -14?\nAnswer: -136","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 8 + -6. Let l(r) = 3*r**x - 2*r**2 - 3*r**2. Let o(n) = 3*n**2 + 4*n. Let z(w) = -4*w**2 - 5*w. Let k(u) = -5*o(u) - 4*z(u). Give k(l(p)).\nAnswer: 4*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 2634 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 0 = -4*v + 4*j - 8, -31 + 23 = v + 5*j for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let q(s) = -3*s**2 + 35*s + 12. Let h be q(12). Let m be (-3)\/3 - (h - (8 - 3)). Solve -m*r = r - 20 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0.10146907548 - 1011\nAnswer: -1010.89853092452","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*k - 5*p = -70, 2*p - 32 = -4*k + 16. Suppose 0 = -7*b + k - 38. Sort b, 0, 1.\nAnswer: b, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 v when three letters picked without replacement from vvvvvvvvvvvvvvvvvc?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: 1 (base 10) to base 3\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*z - 2 = l, 0 = -l + 4*z - 1 - 1. Let f be l + (0\/(-2) - -2). Suppose 0 = -p + 2 - f. List the prime factors of p.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((f\/(f*f**3*f*f))\/(f*f\/(f*(f\/(((f*f*f**(-2\/3))\/f*f)\/f)*f)\/f)))**(-3\/20) assuming f is positive.\nAnswer: f**(4\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let b(q) = -2*q. Let z be b(-1). Suppose -2*f + 31 = -5*h - 0*h, -3*f + 4*h + 29 = 0. Sort 4, z, f, 1 in descending order.\nAnswer: 4, f, z, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 3, -49, -10\/104133?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is (-1)\/(-4) - 883\/(-4) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(n) = -5*n - 7. What is the remainder when l(-6) is divided by ((-56)\/49)\/(112\/(-1372))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -2?  (a) -3\/7  (b) 0.047  (c) 8061\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -315 = -g + 372. Let n be -278 + (17 - 30) + -17. Let b = n + g. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 4056505?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 451 and 374084?\nAnswer: 4114924","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 39\/3188225 and -1\/5738805?\nAnswer: 28694025","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 2283471956 to the nearest integer?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -167451053*q**3 + 17*q**2 + 12182*q + 2.\nAnswer: -1004706318","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let c(u) = 2*u**3 + 4*u**2 - 4. What is c(-3)?\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -23, -81, -171, -287, -423, -573, -731, -891?\nAnswer: -1047","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let v(c) = -c**3 + 8*c**2 + 2*c + 6. Suppose 0*s + 5*s = 10. Suppose 8 = 2*n - s*l, -4*l = 4*n + 1 - 41. Is v(n) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -6109\/355 or -17?\nAnswer: -6109\/355","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let a(s) = s**3 - 26*s**2 + 70*s - 15. Calculate a(23).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.366499962 rounded to one decimal place?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*p - 24 - 15. Let c be (-7 - -1)*2\/(-6). Suppose -69 = -5*v - 2*s, 37 + 24 = 5*v - c*s. What is the greatest common factor of p and v?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1543*w - 4481*w + 1058*w + 824*w.\nAnswer: -1056*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose s + 3*s + 604 = 5*g, 0 = -4*g - 2*s + 478. What is the highest common divisor of 15 and g?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(t) = t**3 + 13*t**2 + 11*t + 2. Let x be q(-12). Suppose -f - 3*y = 3 + x, -2*f = 5*y + 29. Is (-110)\/(-15)*(-3)\/f a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1458*d**4 - 2437782804*d**3 + 1625188104*d**2 - 361152880*d + 26752064 = 0.\nAnswer: 2\/9, 1672004","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let i(v) = 10*v - 30. Let z be i(4). Suppose 2*x**3 + z*x + 7*x - 3*x - 16*x**2 + 0*x = 0. What is x?\nAnswer: 0, 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*n**2 - 3*n**2 - n**2)*(n - n + n) - 21672*n**3 - 16186*n**3 - 1192*n**3.\nAnswer: -39051*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-1 - 298)*(0 + -1). Let q = -293 + f. Let i = -22 - -32. Solve -d = -q*d + i for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 23770 is divided by 950.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of 116, 195, 382, 731, 1296?\n\"Answer: 9*s**3 + 16*s + 91","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let m(b) = -2*b. Let h(d) = -148*d + 11. Let a(x) = h(x) - 3*m(x). Let q be a(-1). Suppose -v + 71 = -q. Calculate the greatest common divisor of 14 and v.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*v - 2*o = 134, 9*v - 11*v - o + 57 = 0. Solve 8 = 13*u - v for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 18\/72 - (-6)\/8. Put i, 0, -5 in ascending order.\nAnswer: -5, 0, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence jj when two letters picked without replacement from jwwjjwjjwwjwwwjwwjjw?\nAnswer: 18\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let j(s) be the third derivative of -s**5\/10 - 197*s**2. Let z(x) = -5*x**2 + 9*x**2 - x**2 - 8*x**2. Determine j(z(i)).\nAnswer: -150*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is seven quarters of a millennium in months?\nAnswer: 21000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 475798121?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence kkny when four letters picked without replacement from {k: 3, n: 1, y: 1, d: 1, z: 3, p: 2}?\nAnswer: 1\/1320","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.9?  (a) 0.4  (b) 3\/7  (c) -0.3  (d) 2\/231\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let l(h) = -128*h - 265. Give l(-2).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 7460 or -5019?\nAnswer: 7460","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 21146551?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let 5*c**4\/2 + 995*c**3\/2 - 6065*c**2\/2 - 197795*c\/2 - 95370 = 0. What is c?\nAnswer: -204, -11, -1, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1785*h + 1779*h = 0. Let -9*x**4 + h + 15\/4*x**3 + 9\/4*x**2 + 0*x = 0. Calculate x.\nAnswer: -1\/3, 0, 3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (0*4\/(-16))\/(-2). Solve -2*n - 16 = -5*r, -2*r + 2*n - n + 7 = l for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(q) = 2*q**3 + 185*q**2 + 2315*q - 151. Determine w(-15).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-3)\/(-3) + 1\/1. Suppose 2*r + 10 = 0, j*h = -3*r - 0 - 5. Suppose 5*o = 3*o - y + 29, -2*y - 68 = -h*o. What is the common denominator of o and -41\/3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 1011, 2029, 3047?\nAnswer: 4065","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (3*sqrt(468))\/sqrt(9)*4.\nAnswer: 24*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose i + 46 = -r, 5*r = 4*i + 50 + 116. Let l = -22 - i. Let o be -2 - -1 - (-1 + -2). What is the greatest common factor of o and l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many centuries are there in 67.25315 millennia?\nAnswer: 672.5315","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 20248179 to the power of 1\/3, to the nearest integer?\nAnswer: 273","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve 110 = -15*w - 10189*n + 10187*n - 135, -3*w + n = -w + 39 for w.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is -22 - ((6 - (3 + 23)) + 14)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (12\/10)\/((-6)\/(-20)). Suppose -2*z + 2 + k = 0. Suppose -43 - 20 = -z*c. List the prime factors of c.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 5, -5, -8004, 1, -137 in increasing order.\nAnswer: -8004, -137, -5, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Round 5.45763566 to 1 decimal place.\nAnswer: 5.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -15.1 + -1.8. Let q = -0.4 - -17.4. Let f = q + c. Which is smaller: f or 3?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add -5.07027 and 0.1.\nAnswer: -4.97027","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.01672 to three decimal places.\nAnswer: 0.017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -51 - -79. Suppose 42 = 5*n + 2*k, -3*n = n + 5*k - 20. What is the remainder when c is divided by n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -102*q + 50*q + 45 + 50*q - q**2 to the form b*q**2 + y + o*q and give b.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 2446805 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 104448300*d*y - 167705256*y wrt d.\nAnswer: 104448300*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -i + 3*n + 4 = 0, 2*i - 2 = -5*n + 6 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -145 = -190*n - 1095 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -18224, -18908, -20050, -21650, -23708, -26224?\nAnswer: -29198","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-801 + 1254 + 697)*(-3*f**4 - 2*f**3 + 2*f**4 + 4*f**4).\nAnswer: 3450*f**4 - 2300*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve 12 = -4*j - 4*y, 641*y - 642*y + 1 = 5*j for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3*u + 7105 - 3407 - 3698.\nAnswer: -3*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 111100010001001001001001 (base 2) in base 7?\nAnswer: 251200544","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*y + 2*y - 68. Suppose -4*o + y = -11. Let -12*u**2 - 8*u**3 + 4*u - 6 + o*u**2 + 15*u**2 = 0. What is u?\nAnswer: -3\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*z - 50 = 5*u + 125, 0 = 3*z - 5*u - 95. Which is the closest to 2?  (a) 1  (b) 0.2  (c) z  (d) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -14*a - 488 = -18*a. Let s(w) = -22*w - 3. Calculate the remainder when a is divided by s(-2).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*b**3\/5 + 432*b**2.\nAnswer: 3*b**2*(b + 720)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 26 - (78\/(-351))\/(10\/(-90))?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 99*p - 2166 wrt p.\nAnswer: 99","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let t(o) = -o**2 + 27*o - 22. Does 3 divide t(13)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(f) = -3*f**2 - 28*f - 49. What is y(-6)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -1 + 15. Suppose -5*k + a - 4 = 0. What is the units digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -28 - -2. Let t be (-6 + 9)*y\/(-3). Suppose -3*p = -6, 4*s - 2*p - t = 2*s. Is s a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 1392 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence sp when two letters picked without replacement from {l: 1, s: 3, p: 1}.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 641527?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 90 minutes after 2:06 PM?\nAnswer: 3:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 18\/5 of a litre in millilitres?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*k + 5*z = 3*z - 50, -z = -2*k + 21. Calculate the highest common divisor of 32 and k.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(n) be the third derivative of n**6\/60 + n**5\/30 - n**4\/6 + 7*n**3\/6 - 29*n**2. Is b(3) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (220\/40)\/(((2 - 3)*1)\/1).\nAnswer: -11\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 0 - 4. Let u = 0.8 + 0.2. Suppose h - 3*o + 1 = -8*o, -5*h - 5 = 3*o. What is the third biggest value in u, h, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 5460\/1470 + 1 + -5. Is j <= -1.88?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(f) = 127*f - 2. Let x(y) = 26*y**2 + 34*y**2 + 35*y**2 - 91*y**2. Determine x(s(k)).\nAnswer: 64516*k**2 - 2032*k + 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 432507888 to the power of 1\/6, to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -112837*p**2*q**2 + 151*p*q**2 + 105*p*q - 2*q**2 wrt p?\nAnswer: -225674*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is -4490997.7 rounded to the nearest one million?\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-11868)\/(-1794)*494\/(-76)?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let x be -5*24\/140*35\/(-15). Find h such that -7*h**3 + 5086 - 9*h**4 + 3*h**5 + 18*h**x + h**3 + 3*h - 5095 = 0.\nAnswer: -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 3, 797, 11\/2, -1, 1.5, -3, -2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*f - 1050 = 3*n, 7*n - 5*n + 631 = -3*f. Let y = 210 + f. Let a(r) = 4*r**2 + 2. Let q(i) = -3*i**2 + i - 1. Let z(g) = 2*a(g) + 3*q(g). What is z(y)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*z + 5*o - 683 = -659, 0 = 3*z + 10*o - 21 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 2008 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:03 AM and 1:53 PM?\nAnswer: 470","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -1 + 0. Let z be (-3)\/d - 75\/27. Is -3 smaller than z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2\/9, -4, -0.4, 0, 2.8, -1\/1357.\nAnswer: -4, -0.4, -1\/1357, 0, 2\/9, 2.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 16 + 42\/(-7) - 1. Let y be 9\/27 - 2\/6. Suppose y*j = -4*j + 2*a + 330, 2*j = 3*a + 171. Calculate the highest common divisor of m and j.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in -1\/4, -12, 0.1, 0, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -30*f - 90 - 90 for f.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 23 - 21. Calculate the remainder when f is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 121621 is divided by 3697?\nAnswer: 3317","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Express (3 + 6 + 0)*(2*v + 5*v - 4*v) as a*v + d and give a.\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 29*f - 46000 = 49*f. Let g = f - -2321. Suppose -3*k - k = -244. Calculate the remainder when k is divided by g.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (0 + sqrt(468))*1.\nAnswer: 6*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 253585 is divided by 25308?\nAnswer: 505","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3, -34, -5, 5, -38, -41 in ascending order.\nAnswer: -41, -38, -34, -5, -3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: 10098 divided by 10\nAnswer: 5049\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -247, -265, -283, -301, -319?\nAnswer: -337","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 189039 to the nearest integer?\nAnswer: 435","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*x = -2*c + 14, -c - 2 = -4*x - 19 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let h(g) = -3*g**2 - 2*g + 7. Let o be (-5)\/2*(-72)\/12. Let n = -20 + o. Let c(v) = 20 - 11*v + 0 - 26*v - 8*v**2 + 31*v. Give n*c(f) + 14*h(f).\nAnswer: -2*f**2 + 2*f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 1654?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 455808 + -455810.9455392. Let h = x + 3.945538. Let g = -1 + h. Round g to 7 dps.\nAnswer: -0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(u) = 40*u + 129. Let p(j) = -2*j**2 + 26. What is q(p(l))?\nAnswer: -80*l**2 + 1169","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2131 is divided by 1758.\nAnswer: 373","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let c(x) = -3*x**2 + 216*x + 18184. Give c(122).\nAnswer: -116","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -7*c - 5*c = -7*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 3900 and 414144?\nAnswer: 134596800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 92787, 92783, 92753, 92685, 92567, 92387, 92133, 91793?\nAnswer: 91355","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {u: 3, g: 17}. What is prob of picking 2 g?\nAnswer: 68\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let a(w) = 3*w**2 + 14*w - 15. Let y(u) = -5*u**2 - 21*u + 23. Suppose -57*j - 15 = -54*j. Let c(q) = j*y(q) - 8*a(q). What is c(5)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 f when two letters picked without replacement from {g: 1, o: 1, f: 1, q: 2}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2 + 7 - 7)*(-1 + 1 - 2*y + 3*y - y + 0*y + 2*y + 0*y + 0*y + (1 + 1 - 3)*(-2*y + 4*y - y) + (0 - 3 + 5)*(-2*y - 2*y + 6*y) - 1 + 1 + 2*y).\nAnswer: 14*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) -0.1  (b) 1  (c) 3\/16  (d) 0.003  (e) -5  (f) -2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let x(k) = k**3 - 5*k**2 + 27*k - 87. Let y be x(7). Suppose 3*r = -4*p + 26, 14 + 26 = 4*p - 4*r. Calculate the highest common divisor of p and y.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -2 - -6. What is the derivative of 2*n**z - 6 + 3 - n + n wrt n?\nAnswer: 8*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 791 and 904?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let a(u) = 3*u + 5. Let m(c) = -7*c - 9. Let h(d) = -5*a(d) - 2*m(d). Let z be h(-9). What is the second derivative of 1 + g**2 - 1 - z*g wrt g?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 287 + -294. Is a at most as big as -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -107206, -107143, -107046, -106921, -106774, -106611, -106438, -106261?\nAnswer: -106086","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 38 - 7 - c - 26 + 3*c**3 + 3*c**2 to the form g*c**3 + q*c**2 + f*c + a and give q.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) 206  (b) -45  (c) 0.2  (d) 4\/9  (e) -1.6\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: -1 + -16 - ((-152)\/25 - 114\/(-1425))\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: -278280 divided by -36\nAnswer: 7730","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -47\/545886 and -173\/55680372.\nAnswer: 55680372","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 0 or 1\/283091?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose n + n - 38 = 0. Let a be -6 - (5 - (0 - -164 - (44 - 43))). What is the greatest common factor of a and n?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*y - 5*y - 8 = 0. What is the least common multiple of y and 28?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 153*((-5)\/2)\/(150*(-53)\/(-2120))?\nAnswer: -102","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(s) = s**3 - 10*s**2 + 44*s + 103. Determine o(12).\nAnswer: 919","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 48 and 1938.\nAnswer: 15504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*b**4 + 2*b**4 + 0*b**4)*(2 - 1 + 1) - 4*b - 2*b**4 + 4*b + (14*b**3 - 259*b**2 - 315*b**2 + 575*b**2 - 52 + 2*b)*(1 - 1 + b).\nAnswer: 16*b**4 + b**3 + 2*b**2 - 52*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 1 + 141*(-2)\/(-60) and -109\/18?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(l) = -l**2 - 228*l - 8080. Determine m(-184).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 5427147449?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -2067 + 2068. Put -3, q, 140 in descending order.\nAnswer: 140, q, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 2 (base 16) to base 14.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 0, -2\/5, -0.06?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of 360065, 722900, 1085735, 1448570, 1811405, 2174240?\n\"Answer: 362835*x - 2770","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-4)\/(-8))\/(1\/(-4)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -106 - -158. Let y = -52.33 + h. Let d = y + -0.07. Which is the nearest to 1?  (a) -0.1  (b) 0  (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -2 in 38, -44, -0.5, 2\/17, -35?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -527*n**3 + 0*n + 525*n**3 + 0*n.\nAnswer: -2*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 0.1471 - 0.1171. Let f = -0.8 - -1. What is the third smallest value in i, 1\/7, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 118 and -0.131?\nAnswer: -15.458","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence rrjj when four letters picked without replacement from jrrrjjrrrjrjr.\nAnswer: 28\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*o - 5*d = 3675, 2*o + 1245 = 3*o - 5*d. Calculate the remainder when o is divided by 18.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose i - 7 = h + 3*i, 0 = 3*h - 3*i - 24. Solve 3*c + 12 = 0, -4*k = -h*k + 2*c + 13 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -5*h - 12*h + 5*h in the form a*h + f and give a.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is -1*(50\/(-5))\/(-5)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/10 of a week in seconds?\nAnswer: 60480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 3 a factor of 0\/(-2) + -4 + 52?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 46\/80 + 1 + -2. Let y = 3\/10 + h. Sort y, -1, 3, -3.\nAnswer: -3, -1, y, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*w - 179 + 164 = -6*z, 0 = -3*z - 5*w - 12 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is (-18)\/7*30*2156\/2520?\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 194158 + 52316 = 18*y. What is the ten thousands digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(h) = 12*h**2 + 2*h + 4. Let z(x) = -x**2 - x. Calculate m(d) + 2*z(d).\nAnswer: 10*d**2 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -162 + 261. What is the units digit of y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*j = 2*i - 27, 9 = -6*i + 3*i. Let n = -1682\/1547 + 7\/442. Find the common denominator of j\/(-44) - 59\/(-36) and n.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 10 - 7. Suppose 5*y + r*w = -17 + 4, w + 1 = 0. What is the tens digit of 4\/1 + y + 12?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -2*i*m**3*o**2 + 10*i*m**2*o*w + 3*i*m**2*w + i*o**2*w + 13*m**3*o*w - 3*m**2*o*w + 26799*m*o**2*w wrt o?\nAnswer: -4*i*m**3 + 2*i*w + 53598*m*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 138372 and 156?\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 132758807892 - -1.8.\nAnswer: 132758807893.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let a(j) = j**2 + j. Suppose -4*m = 13*m + 2*m. Let b(i) be the third derivative of 1\/3*i**3 + 5\/24*i**4 - 5*i**2 + 0*i + 1\/15*i**5 + m. Give -5*a(p) + b(p).\nAnswer: -p**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 7.3 - -6.5. Let l = -14 + k. What is the third biggest value in -0.1, 0, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 23340.\nAnswer: 2, 3, 5, 389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 812137 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -23114*f*v**5 - 95*f*v**3 - 27*f*v**2 + 2*f*v - 203*v**2 + 8*v + 2 wrt v.\nAnswer: -1386840*f*v**2 - 570*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 534 + 11. Suppose 0*u + 569 = 3*m + 5*u, u = 3*m - c. Suppose 0 = -9*p + m + 753. Is 7 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: (81 - (-69 + 198)) + 108\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -0.2  (b) 0.7  (c) 5  (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: ((-3)\/7)\/((-39)\/(1911\/(-70)))\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 50120*l**2 + 3 - 8798*l**2 - 3.\nAnswer: 41322*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: -10 divided by 484988\nAnswer: -5\/242494","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 455*a**2 - 742 wrt a?\nAnswer: 910*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0 in 0, -54, 3, 10.43, -7\/5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -15053 - 0.2.\nAnswer: -15053.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let l(x) = -x**3 + 9*x + 9. Let k(z) = -2*z**3 + 22*z + 22. Suppose 8 = -2*u - 2*u. Let o = u + 6. Suppose o*y + 8 = 56. Determine y*l(c) - 5*k(c).\nAnswer: -2*c**3 - 2*c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 11*p**3 - 1 + p**2 - 3*p**3 - 7*p**3 - 2*p**3 to f*p + r + x*p**2 + q*p**3 and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 184 minutes before 4:05 AM?\nAnswer: 1:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 8868.\nAnswer: 2, 3, 739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve -488 = 1199*k + 1262*k - 2400*k for k.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -193*y - 203?\nAnswer: -193","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:25 AM and 2:36 PM?\nAnswer: 251","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (5 - 6)*(-20)\/4. Suppose -17*w + 15*w + 4 = 4*u, -5*w + 10 = -d*u. What is the lowest common multiple of w and 44?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 664 minutes after 2:19 AM?\nAnswer: 1:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -41, -49, -61, -77, -97, -121?\nAnswer: -149","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -12*k - 215 = 31*k. What is the closest to 2\/13 in k, 1.3, 5\/6, -3?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -2 + 48*b - 77 + b**2 - 48*b - 2*b**2 in the form v + i*b + t*b**2 and give v.\nAnswer: -79","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Round 394.77945 to the nearest one hundred.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Express -74 - 7029*i - 6 + 7034*i in the form q*i + l and give q.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Express -511*x - 130*x + 70*x - 151*x as s + v*x and give v.\nAnswer: -722","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1931459 is divided by 643324.\nAnswer: 1487","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose t - 10*z - 16 = -7*z, -2*t + z + 7 = 0. What is the biggest value in -0.3, 2, -14, t?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 1283 - 1283. Solve u = -2*q + q - 3 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.621246ml in litres?\nAnswer: 0.000621246","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let m(p) = -159*p**2 - 6944*p - 4617. Determine m(-43).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -2?  (a) 4  (b) -40  (c) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-11)\/(-1))\/(198\/54).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 138 and 89286.\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: (-44)\/(-10)*35\/(-21) - 18\/27\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 12683741?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 126126537 to the power of 1\/3, to the nearest integer?\nAnswer: 501","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {i: 2, z: 2, g: 4, x: 3, c: 3, k: 4}. What is prob of sequence kzxi?\nAnswer: 1\/1530","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Divide -115 by -13.\nAnswer: 115\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0 * -83.9.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 2743 - 2743.001693. What is m rounded to three dps?\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*l - 4*s = -14, 2*s + 4 = l + 3*s. Suppose -3*x - l*x = h + 34, -2*h - 4*x = 50. Let d = 59 + h. What is the remainder when d is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(s) = s**2 + 2*s - 10. Let g be c(-5). Suppose -k - g*k + 54 = 0. Let i be 263999980\/(-30) + 3\/(k\/(-2)). Round i to the nearest one million.\nAnswer: -9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 5\/(-2) + ((-15)\/(-6) - 2). Let q(p) = p**3 + 4*p**2 + 3*p + 3. Let w be q(t). Find the third derivative of -w*i**2 + 23*i**2 - 17*i**4 + 3*i**4 wrt i.\nAnswer: -336*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*j - 3*q = -2438 + 299, 4*q - 4284 = -4*j. Suppose p - 4*o - 347 = -0*p, o + j = 3*p. What are the prime factors of p?\nAnswer: 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 42 divide 1848?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let v(n) = -n**2 + 12*n + 11. Let r be v(12). Solve -14*s + 15 = -r*s for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0.09 * -1.9\nAnswer: -0.171","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Find p such that -215*p**5\/3 - 2377*p**4\/3 - 1979*p**3 - 5699*p**2\/3 - 2020*p\/3 - 32 = 0.\nAnswer: -8, -1, -12\/215","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 8858 - 8861. Let w(z) = 4*z**3 + 2*z**2 + 2*z + 4. Calculate w(r).\nAnswer: -92","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2243929 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -7216, -7214, -7212?\nAnswer: -7210","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -18*r - 316 = 88*r - 27*r for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let t(n) = 439*n. Let a(q) = -5*q**2 + 1. What is t(a(k))?\nAnswer: -2195*k**2 + 439","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-15 - (12 - 12)) + -16 + 47?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (x**(-6))**(-2\/85)\/(x**(9\/4)*x**(-1\/9)) assuming x is positive.\nAnswer: x**(-6113\/3060)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -1068 - -1067.8. Which is the third smallest value?  (a) s  (b) -2  (c) 6  (d) -15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -2*l + 4*p - 10, -1245 = -299*l + 2*p - 952 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -1.018 - -0.058. Let v = l - 140.04. Let j = 139.22 + v. Round j to 1 decimal place.\nAnswer: -1.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 0 or 4\/19?\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 10301 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: How many seconds are there in 1\/16 of a hour?\nAnswer: 225","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many micrometers are there in 3\/8 of a centimeter?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 14\/1363 + -767411\/4089. Let h = -184 - q. Which is bigger: 4 or h?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -2*h + 2*h**3 + h**5 + 3*h + 713*h**2 - 651*h**2 + (4*h + 4*h**2 - 4*h)*(-4*h**3 + h**3 + 5*h**3) + 4*h**5 - 2*h**5 - 3*h**5 - h**5 + 0*h**5 - h**5.\nAnswer: 6*h**5 + 2*h**3 + 62*h**2 + h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (0 - -1)\/(14 - 11). Which is the closest to d?  (a) 5  (b) -1  (c) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.3, -1\/6, -2\/713, -1 in ascending order.\nAnswer: -1, -1\/6, -2\/713, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -2 - -51?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let p(y) = 6*y**2 + y - 1. Let l(h) = -10*h**2 - h. Give -3*l(j) - 2*p(j).\nAnswer: 18*j**2 + j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -493229*b + 493226*b + 2 - 2.\nAnswer: -3*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 2838?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from vvrpvrvvvvvvrvv. What is prob of picking 1 p and 3 v?\nAnswer: 11\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = y + 3*z - 13, -17 = -y + 2*z - z. Let k be 10\/(2*(-4)\/(-12)). Suppose 19 = y*i - k*i. What is the tens digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(l) = -l**2 + 4*l + 13. Let n be m(6). What is the nearest to 2\/7 in -0.3, n, 5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0?  (a) -0.3  (b) -1\/9  (c) 25  (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3 = -0*t + 3*t. Let q(x) = 1 - 5*x + 4 - 4 - 2. Let d(b) = 14*b + 3. Let w(u) = 6*d(u) + 17*q(u). Let m(j) = -2*j + 3. Determine t*m(y) - w(y).\nAnswer: -y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*v - c - 16 = 0, 5*v - v = 2*c + 20. Let o(d) = d**v + d - d + 0*d**2 + d + 2 - d**2. What is o(0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 4*-42\nAnswer: -168","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 6394 is divided by 156?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1 + -4 - (-44 - (30 - 37) - (-10 - -4)).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let z(p) = -108863*p + 96. Let r be z(-8). What is r rounded to the nearest one hundred thousand?\nAnswer: 900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(h) = -h**3 + 16*h**2 + 29*h + 128. Let u be m(18). Solve -4*y = 4*r - 0*r + 40, u*r - 10 = 4*y for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-16)\/(-144)*11\/(176\/24).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -23 - -7?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*u + 231 = 4*u. Let o = 77 + u. Suppose o*m - 846 = -6*m. Is m a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -8.87813 rounded to the nearest integer?\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let w(u) be the third derivative of 47\/30*u**5 - 1\/210*u**7 - 3*u - 17\/120*u**6 + 0*u**3 + 0 + 7*u**2 + 0*u**4. What is the third derivative of w(g) wrt g?\nAnswer: -24*g - 102","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -51217 (base 9) in base 10?\nAnswer: -33712","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 0 + 0 - (7 - 5). Find the common denominator of ((-66)\/(-27))\/(w*2) and 95\/8.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(v) = -v**2 - 8*v - 3. Let r be z(-7). Differentiate -3*f + r + f - 2*f with respect to f.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2216 to the power of 1\/2, to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let o be ((-5690)\/95 - -1) + 6\/(-57). Let b = 676 + o. List the prime factors of b.\nAnswer: 617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence qq when two letters picked without replacement from qyqyqhi?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 157, 440, 925, 1618, 2525?\nAnswer: 3652","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 28923 is divided by 7134?\nAnswer: 387","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"}
{"text":"Question: What is -35.0561 - -3533.2949?\nAnswer: 3498.2388","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Put 0.1, 5, 46, 0 in ascending order.\nAnswer: 0, 0.1, 5, 46","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is -113100 (base 4) in base 9?\nAnswer: -2033","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -16*f + 12*f - 4 + 1 - 11*f to r*f + m and give r.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 1005\/(-25) - (-5)\/25. Let r = x + 54. Calculate the remainder when (34\/4 - 2)*6 is divided by r.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 2657.259 nanoseconds to seconds.\nAnswer: 0.000002657259","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-114)\/22 + 1 + (-78)\/(-429). What is the nearest to -13 in -15, h, -2\/3?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 414672 or 414674?\nAnswer: 414674","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 247544*g**2*k + 145*g - 1033*k wrt g?\nAnswer: 495088*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: -1*((-4600)\/(-92) - 111)\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 1*(-3 - 46\/(-14)). Sort -4, 5, l in decreasing order.\nAnswer: 5, l, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -34 = -11*m - 1 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -29*d = -22*d - 1477. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (4\/(-24)*2)\/(((-110)\/(-210))\/(-11))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 3 - 3. Suppose -b + 2374 = 2*c, -2*b + s*b - 5*c = -4744. Let h = -875 + b. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 45 - (18 - -14) - 0.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -1 + 5. What is the third derivative of -6*k**5 + 4*k**4 - 4*k**d + 3*k**2 wrt k?\nAnswer: -360*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 6\/2*30\/18. Is (134\/10)\/(1\/h) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-3)\/6)\/((-7)\/70)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -33324 = -4*s - 4*t, 11*s - 5*t = 10*s + 8307. Is 58 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*w + 2*w - w + (2 + 0 + 0)*(-4*w + 3*w + 0*w))*((-2 + 2 + 2*w)*(4 + 0 + 3) - 3*w - w + w).\nAnswer: -11*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 10482 + -41927\/4. Let l = 4139\/175 - 165\/7. Let i = 7 - 4. Which is the closest to -0.1?  (a) x  (b) i  (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -4 - -27?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let t(l) = 6*l + 50. Let i be t(-8). Let f(o) = -11*o**2 + 38*o**i - 15*o**2 + 43*o**2. Let x(b) = b. Determine f(x(d)).\nAnswer: 55*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let f(w) = -1829*w - 46. Determine f(0).\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 45248796.03 rounded to the nearest one hundred thousand?\nAnswer: 45200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let r(i) be the first derivative of i + 1. Let u(a) = -10 + 31 + 6*a - a + 9. Let l(d) = -30*r(d) + u(d). Determine l(1).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-1 + (8 - 6))*2. Suppose -4*z + 12 = s*t, z + 0 - 1 = 0. Suppose 3\/5*c**t - 6\/5*c**3 + 6\/5*c - 3\/5*c**2 + 0 = 0. Calculate c.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(720) - -4*-2*sqrt(720) - sqrt(720)) + (sqrt(720) + -2 + sqrt(720) + 2 - sqrt(720)) + 2)**2*-6 + 2.\nAnswer: -211702 + 2016*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 17870 - 17858. What is the least common multiple of w and 9510?\nAnswer: 19020","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 631 + 310. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (3 - 2*x + 2 - 4)*(190 - 290 + 150) as l + h*x and give h.\nAnswer: -100","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0822639 micrograms in grams?\nAnswer: 0.0000000822639","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -17 + 20. Suppose -6 = 3*z, -3*x + z = -2*z - d. Sort -3, x, 2.\nAnswer: -3, x, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*j + 3*f + 46 = f, 0 = 5*j - 3*f - 57. Calculate the remainder when -3 - (-1 - -3)*-54 is divided by j.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(h) = -h**3 + 17*h**2 + 17*h - 22. Let t be p(18). Let j be t\/(-25)*15\/6. Factor 4*m**3 - 2*m**5 - 44 - 2*m - 2*m**j + 42 + 0*m + 4*m**2.\nAnswer: -2*(m - 1)**2*(m + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 766 divide 48640234?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 13418?\nAnswer: 2, 6709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let g(h) = -h**3 - 4*h**2 + 4*h - 5. Let w be g(-5). Suppose 0 = 9*s - 11*s + 4. Solve w*b + 4*b**2 + 2*b - 4 + 3*b**2 - 2*b**3 - 3*b**s = 0 for b.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 40731 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*g + 4*g + 57*g. Solve -2 = n - g*n for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -8745 = -510*y + 3267 + 5328 for y.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -23\/9 + 152\/63. Let d = 1 - 4. Let x = d + 8\/3. Which is smaller: x or m?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*j + 28 = 5*x, 4*x = -3*j + 6*x - 7 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -25*y - 2 + 27. Let w = 17\/12 - 149\/156. Which is smaller: y or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -8043 + 0?\nAnswer: -8043","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -11, 5, 21, 37, 53?\nAnswer: 69","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 2\/2003 + -162263\/20030. Let j = 9542641\/859852 - 4980\/2009. Let c = j + 14\/107. What is the common denominator of r and c?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-54)\/10 - 2\/(-5). Let p = 12 + -17. Let l(i) = -i + 1. Let v(g) = 4*g - 5. Let w(m) = p*l(m) - v(m). What is w(u)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 228953 * 12.\nAnswer: 2747436","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 92199209 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1266 (base 11) to base 16.\nAnswer: 66d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:07 PM and 11:36 PM?\nAnswer: 209","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:18 PM and 8:28 PM?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Expand 1 + w**3 - 1 - w**3 + 2 - 2 + (w**2 + 2 - 2)*(-2 - w + 2) - w**2 + 12*w**2 + 6*w**3 - 4*w**3 - 67*w + 67*w + 6*w**3.\nAnswer: 7*w**3 + 11*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 446*c**2*d**2*h**2 - 806*c**2*d**2*h - 866281*c**2*d*h**2 - 2*c**2*d - 2*h**2 wrt d?\nAnswer: 892*c**2*h**2 - 1612*c**2*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let h(m) = -m**3 + 8*m**2 - 4*m - 1. Let l be h(8). Let v = l + 37. Suppose -47 = -v*u - 11. Let t(x) = -x**3 + 10*x**2 - 9*x - 3. Calculate t(u).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 457780 and 3409?\nAnswer: 487","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let v(f) = 26*f**2 + 85*f + 23. Let w(l) = 5*l**2 + 17*l + 5. Let g(r) = 2*v(r) - 11*w(r). Let n(o) = -2*o**2 - 9*o - 5. Give -3*g(j) + 5*n(j).\nAnswer: -j**2 + 6*j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is c in c**3\/4 + 5*c**2\/4 - 3*c\/2 = 0?\nAnswer: -6, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1822?  (a) -5\/6  (b) -3  (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 111\/779174 and 17\/31565.\nAnswer: 229856330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 2?  (a) 3  (b) -675  (c) 269\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 19286870?\nAnswer: 2, 5, 1928687","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (-9)\/(6\/2) - (13 - 18). What is the hundreds digit of (-6220)\/(-25) - b\/(-10)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (y**(2\/17)\/y**3*y*y*((y**(2\/7)\/y)\/y)\/y*y**(-2)\/y)\/((y\/(y*y*y**(-6\/5)*y*y))\/y**(-1)*y**(-2\/11)*y\/(y\/y**1)) assuming y is positive.\nAnswer: y**(-43294\/6545)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 119\/20 and 10194\/44856 - (-8)\/(-84)?\nAnswer: 1780","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(t) = -t**2 + 2. Let n(u) = 9*u**2 - 21. Let z(f) = -2*n(f) - 21*w(f). Let k(m) = -15*m. What is z(k(o))?\nAnswer: 675*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 56451727 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 74210072?\nAnswer: 2, 29, 79, 4049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (m*m\/(m*m**(-2\/11))*m*m)\/((m*m**(-20))\/m) assuming m is positive.\nAnswer: m**(255\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -142 + 127 - (36 - 35 - (-114 - (-2 - -4)))?\nAnswer: -132","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the billions digit of 2777598632?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.011901433061 to five dps.\nAnswer: 0.0119","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Round 228076.49 to the nearest 10000.\nAnswer: 230000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10 + 50 = 4*s. Suppose s = -5*q + 35. Suppose -q*k - 5*m = -65, 3*m - 2 = -k + 1. Does 9 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(d) = 136*d - 4556. What is the smallest common multiple of f(39) and 176?\nAnswer: 2992","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(l) = 0*l + l - 14 + 8. Let u be v(6). Suppose -3*z - 4*n = -u*z - 13, -z + 3 = 2*n. Calculate the greatest common divisor of z and 77.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (9*g**2 - 2*g - 3102 + 3102)*(1 - 3 + 4)*(4*g**2 + 0*g + 0*g) to z + t*g + r*g**4 + v*g**3 + d*g**2 and give v.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 11 + -14 - (-13 - 0). Let g(d) = -d**3 + 9*d**2 + 9*d + 6. Let z be g(c). Which is bigger: z or -5?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -h - 2743251*h**2 + 1371591*h**2 + 1371618*h**2.\nAnswer: -42*h**2 - h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let x(v) = -v**3 - 77*v**2 - 322*v - 33. Determine x(-4).\nAnswer: 87","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 6785872 plus -2?\nAnswer: 6785870","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 19 + 12. Suppose -24*i + 21*i + 33 = 0. Suppose -2*k = i - g. Calculate the smallest common multiple of 6 and k.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -0.1  (b) -1\/4  (c) -0.27\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -30244*b**3*v**2 - b**3*v - 7*b**3 - 2*b**2*v + 220*b*v wrt v.\nAnswer: -60488*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 2220311110 (base 4) in base 8?\nAnswer: 2506524","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -c**4 - 2 - 730*c**2 - 5 + 2 + 672*c**2 + 3 - c**3 to x*c**2 + g + k*c**3 + d*c + m*c**4 and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 1\/57 - -6\/19. What is the closest to -0.1 in d, -1\/4, -5?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 4  (b) 784  (c) -2\/19  (d) 7\/312\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1\/2?  (a) -4  (b) 6\/7  (c) -2  (d) -3\/10\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: How many nanograms are there in 7.597892mg?\nAnswer: 7597892","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let f(u) = -383*u + 15. Let d(s) = -4*s**2 - 2*s + 2. Let m be d(1). List the prime factors of f(m).\nAnswer: 7, 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:31 AM and 8:59 AM?\nAnswer: 388","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-6 - -2)\/(1*-2). Suppose -k*z - 4 = -64. Is 14 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-10*(-6)\/45)\/2)\/((-2)\/(-18)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 7807881 take away -0.1?\nAnswer: 7807881.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: -68 + (24 - -67) - 22\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let k(a) = -9*a**3 + 14*a**2 - 22*a + 36. Let h(x) = x**2 - 2*x + 4. Calculate -11*h(c) + k(c).\nAnswer: -9*c**3 + 3*c**2 - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -101191*b**3*m**2 + 684*b**2*m**2 + b*m**2 + 17*b wrt b?\nAnswer: -607146*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.3?  (a) 2  (b) 9  (c) 0.1  (d) -2\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*g - 4 = -2*l + 5, -l + 2*g = 9. Let w be (15\/(-20))\/(l\/8). Sort -0.3, 3, w in descending order.\nAnswer: 3, w, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -7*n + 16*n = -36 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (0 - (-11 + 13 + -4)) + 5 + -62?\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let b(i) = 137825*i**2. Let o(z) = -12*z. Calculate o(b(t)).\nAnswer: -1653900*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 1630\/9 - 3269\/18. Which is the nearest to z?  (a) 1\/4  (b) 23  (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 4 divide 120220380?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 39717 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*t + 18 + 19 = -3*r, 2*r - 2 = -2*t for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Convert -1222210110101 (base 3) to base 8.\nAnswer: -4024032","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 73157?\nAnswer: 7, 1493","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (m**(5\/4)\/(m\/(m**4\/m)))\/(m**(-3\/5)*m**2)*(m*m**(1\/4))**(-1)\/(((m*m\/m**(1\/6))\/m)\/(m**(2\/3)*m)) assuming m is positive.\nAnswer: m**(43\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in 0.4, 9, -0.09, 3, -3?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let c(u) be the third derivative of u**8\/140 - 17*u**7\/175 + 14*u**6\/25 - 44*u**5\/25 + 16*u**4\/5 - 16*u**3\/5 + 21*u**2. Factor c(p).\nAnswer: 6*(p - 2)**4*(2*p - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-14 - -11) + 8 - (1 - (0 - 2))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-2*sqrt(5929) - sqrt(49))*-5)\/((sqrt(49) + -3*sqrt(3136) + sqrt(3136))\/sqrt(7)) + -4.\nAnswer: -23*sqrt(7)\/3 - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 51048 and 536?\nAnswer: 3420216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 5  (b) -1  (c) 0.53  (d) -9.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Sort 19, 8, 5, -5, -12374 in ascending order.\nAnswer: -12374, -5, 5, 8, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 357 is divided by 60?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 20.9 + -20.9. What is the closest to h in -2\/9, -0.4, 4?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in eleven tenths of a litre?\nAnswer: 1100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -15*g + 13*g = -3*s - 6, 3*s = 3*g - 6. Is g at most 2\/12375?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*y - 5*x + 0*x - 2 = 0, 5*y + 5*x = 25. Let z(o) = 8 - y - 7*o - 5. Let m(s) = -s. What is m(z(w))?\nAnswer: 7*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let a(u) = 0*u + 2*u + 2*u + 2 - 5*u. Let y be a(1). Suppose -4*m - 4*c + 308 = 0, c + 3 = y. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(v) = v**2 + 4*v + 4. What is the remainder when 21\/42*(5\/2 + 7340\/40) is divided by r(5)?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -0.047 + -5.853. Let n = q - -1.9. What is the third biggest value in n, -3, -13?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of -34389, -34409, -34455, -34539, -34673, -34869?\n\"Answer: -2*a**3 - a**2 - 3*a - 34383","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let f(j) = 24*j**2 + 16*j - 179. What is the hundreds digit of f(8)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 1 or 2\/765?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*o - 3*d - 137, 17 = 2*o - 4*d - 35. Does 7 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(v) = -3*v**3 + 4. Let x(q) = -2*q**3 + 5. Let p = -273 + 268. What is p*l(c) + 4*x(c)?\nAnswer: 7*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of -256, -514, -776, -1042, -1312?\n\"Answer: -2*a**2 - 252*a - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -435 - -689. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*a - 18 + 3. Suppose a*q - 4463 - 242 = 0. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((o**(-33)\/o)\/o*o\/o**(-2\/5))**(1\/2) assuming o is positive.\nAnswer: o**(-84\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:16 PM and 8:20 PM?\nAnswer: 244","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*d**5 + 66*d**4 - 699*d**3 + 630*d**2 = 0. What is d?\nAnswer: -30, 0, 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (13360\/18704)\/((-10)\/(-322)) - 145.\nAnswer: -122","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(h) = -32*h - 3. Let i(n) = n**2. Determine b(i(z)).\nAnswer: -32*z**2 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 13.5 - 13. Let y = -0.9 + t. Suppose 5*i = d + 27, -3*i = i + d - 18. Which is the nearest to -0.1?  (a) i  (b) y  (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 1351\/5 or 271?\nAnswer: 1351\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 224*y - 2*y**2 - 230*y + y**2 to the form l*y + k + b*y**2 and give l.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -84c - -5aaa?\nAnswer: 525b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Convert -b4516 (base 12) to base 5.\nAnswer: -30020441","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(70) - sqrt(70)*1*-6 - sqrt(70)) + sqrt(70) - -3*sqrt(70)*-1)\/(-3*(sqrt(10)*2 + sqrt(10))*-4).\nAnswer: sqrt(7)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -46*s - 1485 = -195*s - 16*s for s.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (80\/(1920\/18))\/(((-75)\/(-830))\/5).\nAnswer: 83\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Put -65\/11, -2\/29, -3 in decreasing order.\nAnswer: -2\/29, -3, -65\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Round 22303772.9 to the nearest one hundred thousand.\nAnswer: 22300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Round 8373 to the nearest one thousand.\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let t(l) = 8*l + 3. Let g(x) = 8*x + 4. Determine 4*g(s) - 5*t(s).\nAnswer: -8*s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let s(b) = -7*b**3 - 12*b**2 - 220*b + 229. Let f(m) = -3*m**3 - 6*m**2 - 105*m + 114. Let r(h) = 13*f(h) - 6*s(h). Let r(p) = 0. What is p?\nAnswer: -4, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 68 a multiple of 34?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -1293948*u**4 + 219247*u + 4?\nAnswer: -15527376*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 0  (b) 2\/9  (c) 5  (d) -96\/5063\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Express (2*y**2 + 8*y**2 - y**2)*(-3 + 4 + 1)*(-10 + 10 - 56*y) in the form x*y**3 + l*y**2 + t*y + m and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -3*d + 172 - 145 for d.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*l = j - 28, -l - l + 4*j = 0. Let a(u) = u**3 - 9*u**2 + 7*u + 11. Let p be a(l). Suppose -p*c + 771 = -0*c. What are the prime factors of c?\nAnswer: 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(f) = 5*f**2 - 56*f + 33. Determine j(9).\nAnswer: -66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in 2\/11, -1\/3, -1, -45?\nAnswer: -45","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 223 minutes after 6:42 AM?\nAnswer: 10:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 3460630?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (126 - 217)*2\/(-14).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: 1797 - -1.48197256\nAnswer: 1798.48197256","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 105\/(-56) - 2\/(-1). Let l = -0.93 + 1.93. Which is the closest to l?  (a) 5  (b) -0.2  (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 744.46 + -753. Round f to 0 dps.\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*v - 4*n = -2*v + 16, 0 = 2*v + 5*n + 20. Suppose -3*b + 9 = v, 1204 = 5*h - b - b. What is the hundreds digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 508647058 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -9312.527 - -9321. Let f = k - 8.56939. Let r = 0.097 + f. What is r rounded to four decimal places?\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -11 - -25. Suppose 5*q - 764 = -3*i, q - 206 = 4*i - 44. Calculate the greatest common factor of q and l.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*g - 5*j = -5, -13*g + 12*g + 3*j - 11 = 0 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence pv when two letters picked without replacement from fvffvvpvvfvvf?\nAnswer: 7\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -706 + 219. Let m = d + 1046. Does 22 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: 805202 divided by -5\nAnswer: -805202\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -13 + 27. Suppose 1 = 5*t - m. What is the third derivative of -4*h**3 + 2*h**3 - h**2 + t*h**3 wrt h?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 5 and -26259103?\nAnswer: -131295515","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Round -191.80465 to the nearest 10.\nAnswer: -190","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -7804832350816 - 2*o + 7804832350816.\nAnswer: -2*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 653917 is divided by 11677?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: 1407490 divided by 140749\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let s(v) = 26*v**2 + 15*v + 81. Let g be s(-13). Round g to the nearest 1000.\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*w - 13 = 2*w. Suppose -w*p + 8*p = -15. Suppose 10 = 3*o - 5*o, 2*c - 73 = -p*o. Does 11 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-13 - -19) + -24 + (-7 - -5)?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 282987?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -52 - -51.63. Let k = -0.4 - l. Let q = k - -3.03. Which is the third smallest value?  (a) -2\/9  (b) q  (c) 5\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(f) = -2827*f**3 + 7*f**2 + 112*f - 1. Let n(d) = 8481*d**3 - 20*d**2 - 318*d + 2. Let y(c) = 6*n(c) + 17*v(c). Find the second derivative of y(s) wrt s.\nAnswer: 16962*s - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 2*v**3 + 2*v - 7*v + 25 - 27 + 17 - 5*v**2 to the form p*v + t*v**2 + n*v**3 + l and give l.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let m(d) = -7*d - 5. Let u(y) = -7*y - 5. Let j(l) = -5*m(l) + 6*u(l). Let x(b) = 3*b + 2. Calculate 2*j(v) + 5*x(v).\nAnswer: v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 15*g**4 - 7*g**3 - 137 wrt g?\nAnswer: 60*g**3 - 21*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 402.7426 millilitres in litres?\nAnswer: 0.4027426","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let l(h) = h**2 + 47*h + 175. Let j be l(-43). Differentiate 46*w**3 + 7*w**3 - 23*w**j - 85 + 21 with respect to w.\nAnswer: 90*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -5  (b) 1  (c) 3\/58  (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 6456?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Does -1 = 3\/837774974?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 689898621 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5904*p + 5919*p = -45. Which is the closest to 103?  (a) -3\/4  (b) 3  (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 17410577 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 18 - 14 - (-2 - -1 - -3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 65682 a multiple of 246?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 27*f**4 - 342*f**2 - 8*f**4 - 20*f**4 - 18*f**3 + 35*f**2 wrt f?\nAnswer: -24*f - 108","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 235350551 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -23615 - -37550. List the prime factors of d.\nAnswer: 3, 5, 929","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*n + 3*f + 36 = 0, f - 33 = -4*n + 35. Suppose n*z + 359 = 1623. Calculate the remainder when z is divided by 22.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(f) = f**3 + 4*f**2 - 2*f - 2. Let l be (-1 - 12\/(-3))*-1. Let j be g(l). Solve -4*k - j = -5 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 21995606, 21995629, 21995668, 21995723?\nAnswer: 21995794","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Express 22*r**3 + 1 - r - 21*r**3 + r - 7*r**2 as p*r**2 + s*r**3 + z + o*r and give s.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 274 + -272. Let y(w) = 30*w**k - 55*w**2 + 53*w**2. Let j(p) = -3*p. What is y(j(a))?\nAnswer: 252*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (55\/33)\/(1\/(-3)). Let v(a) = -a**2 - 7*a - 11. Let n be v(j). Let l(r) = -8*r + 1. Give l(n).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 3583477045 to the nearest integer?\nAnswer: 1530","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((k\/((k*k\/(k\/(k*k\/k**0)*k)*k*k*k)\/k))\/k*k*k)\/k*k)\/(k**(-10)*k)*(k\/(k\/((k**(-1\/4)*k)\/k)))**(-9\/5) assuming k is positive.\nAnswer: k**(149\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Convert -390434b (base 13) to base 14.\nAnswer: -2522490","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 41 at most -5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: 23*24963.22\nAnswer: 574154.06","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve -v + 1 = 4*v + 3*a, 5*a = -15 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 40956880 rounded to the nearest 10000?\nAnswer: 40960000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 3454333318?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Put 2, 7, 1, -169, 81 in decreasing order.\nAnswer: 81, 7, 2, 1, -169","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-24)\/(-729))\/(3\/909) - (-47 - -57).\nAnswer: -2\/81","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -62 + 5?\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is -857013 (base 10) in base 5?\nAnswer: -204411023","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3389, -1, -22, 1, -5 in ascending order.\nAnswer: -22, -5, -1, 1, 3389","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*w**2 + 5302176*w - 5302180 = 0 for w.\nAnswer: -1325545, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from zzazoazaaczzaooo. What is prob of sequence coz?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 1095968714 to the power of 1\/2, to the nearest integer?\nAnswer: 33105","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -848, -846, -844?\nAnswer: -842","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 24765192 or 74295578\/3?\nAnswer: 24765192","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (m*m**(-5)*m)\/((m\/(m\/m**(2\/19)))\/m)*(m**(-2\/3))**(-2\/17)*m\/m**(-5)*m\/m**(-3\/5)*m**(2\/13)\/(m\/(m*(m*m**(-1)\/m)\/m)) assuming m is positive.\nAnswer: m**(234746\/62985)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 207 + 214 - 38*h - 398 to the form b + l*h and give l.\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -0.910164, 0.4, 0.3, 2?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let b(i) = 3*i - 10*i - 2 - 3 - 11*i. Let y be b(-1). Suppose -1386 - 525 = -y*c. Is c a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((((w**3*w)\/w)\/(w\/(((w\/(w**0*w))\/w*w)\/w*w)))\/((w**(-5\/4)*w)\/(w**(1\/14)*w)))**(-4\/9))**(1\/27) assuming w is positive.\nAnswer: w**(-31\/567)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -14*l + 1594*k = 1593*k - 22, -40 = 5*k. Suppose -1\/6*o**2 - 1\/6*o + l = 0. Calculate o.\nAnswer: -3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 1255 and 1445.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 12894 to the power of 1\/2, to the nearest integer?\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -4620 and 0.77?\nAnswer: -3557.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1.5 in -2\/7, -0.1, -4?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of 3, 1, 5, 21, 55, 113?\n\"Answer: p**3 - 3*p**2 + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 412 + 0.346.\nAnswer: 412.346","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let d(h) be the second derivative of h**7\/840 - h**6\/60 - h**5\/15 - 7*h**4\/24 - 3*h**3\/2 - 26*h. Let w(a) be the second derivative of d(a). What is w(7)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be -5*1 - 0\/2. Let n = -407 + 390. Which is the smallest value?  (a) -4  (b) n  (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 10897 (base 15) to base 9\nAnswer: 80087","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 3 + 1. Suppose 0 = -4*u - p - g, 0*u + 2*u + p + 4 = 0. Solve u*n = n - 5 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {m: 8, a: 3}. Give prob of sequence mma.\nAnswer: 28\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 5431237 and 1202?\nAnswer: 601","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Round 4130000 to the nearest one hundred thousand.\nAnswer: 4100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (4*3\/9)\/((-6)\/(-9)). Let q(b) = 2 + 1 + 4 - 2 - a*b. Let o = 47 - 41. Determine q(o).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 8171 + 2*o**2 - 8171.\nAnswer: 2*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 10325 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -12 - -15. Suppose 2*p - 158 = -4*b, -4*p + 23 - 169 = -m*b. Calculate the greatest common factor of b and 231.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of -2.3 and 3483.\nAnswer: -8010.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: (-72 - -44) + 54 - -84\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Express -197*i + i**4 + 4*i**2 + i**3 + 199*i - 1 + i**4 as o*i**2 + y*i**4 + w + u*i**3 + b*i and give o.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 9.692072 hours in milliseconds?\nAnswer: 34891459.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 43407964 is divided by 2567?\nAnswer: 2561","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((-2*2*sqrt(6050))\/(sqrt(70)\/(sqrt(567)*2)) + -5)*-3)**2.\nAnswer: 71280*sqrt(5) + 28227105","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*s + 248 = 4*d, 29*d - 31*d = -2*s - 136. What is the remainder when 258 + -1 + -1 + 2 is divided by d?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (9\/(-18))\/((-1)\/(-426)). Let l = 476 + d. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((o*(o\/o**(-8\/3))\/o)\/(o\/(o\/(o\/(o\/o**(2\/31))*o))))\/((o\/((((o*(o*o\/(o**(-9\/4)*o))\/o)\/o*o)\/o*o)\/o))\/(o\/o**(3\/4)*o)) assuming o is positive.\nAnswer: o**(949\/186)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -2400263\/108282 - -2\/18047. Calculate the common denominator of h and -47\/6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(z) = -24*z - 7. Let f(r) = -12*r - 3. Suppose 5*y = -6 - 59. Let m(t) = y*f(t) + 6*l(t). Let c(d) = 4*d - 1. Determine 17*c(s) - 6*m(s).\nAnswer: -4*s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Sort 839, -1, 3, -0.5, 0.3.\nAnswer: -1, -0.5, 0.3, 3, 839","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 12\/28 - 1254\/(-14). Suppose 0 = o - 4*s + 5*s - f, 260 = 3*o - 2*s. Is o a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -3911*o**5 + 2506*o**5 - o**3 - 550*o**2 + o**3 - 3*o wrt o.\nAnswer: -84300*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 0 + 3 + (1 - 2). Suppose -2*k**2 + 5*k**2 + k**d - 5*k**2 + k = 0. What is k?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-5)\/((-50)\/(-35))*(-384)\/(-2016)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -15998*i**3*u**3 + 171*i**3*u + 9*i**3 - 2*i*u**4 - 2*i*u - 2*u wrt u.\nAnswer: -95988*i**3*u - 24*i*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -60 + 102 + (-16 - -2)?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between -0.0643537 and 1?\nAnswer: 1.0643537","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*t + 5*l + 25 = 0, 2*l = -4*t + 1 + 17. Let w be 265\/(-25) + 3\/t. List the prime factors of (12 + 3)\/((-2)\/w).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 2*(5 - 2\/(10\/15)). What is the highest common factor of 176 and f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(w) = 12*w**2 - 197*w - 303. Let j be u(18). What is the greatest common divisor of 57 and j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -4683 - -4848. Let c(m) = -3*m**3 + 2*m**2 + 1. Let w be c(-2). What is the greatest common factor of w and q?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(x) = 16*x**2 + x + 15. What is r(3)?\nAnswer: 162","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-118)\/(-42) - -2 - 1. Let l = -22\/7 + o. Suppose 0 = -0*i + 2*i. Which is greater: i or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 4900 and 100.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -1*7 - (-28)\/((-1232)\/(-286))?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is (((-54)\/(-75))\/((-12)\/(-15)))\/(38\/190)?\nAnswer: 9\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 1.385 times -0.5\nAnswer: -0.6925","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Convert -11052244 (base 6) to base 4.\nAnswer: -1101130210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let j(b) = 16*b + 4. Let n be j(3). Suppose n = 2*i - 12. Is i a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*v = 17*v - 828. Let i = -86 + v. Calculate the smallest common multiple of i and 4.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -21 - -21. Suppose n = 4*c - 12, c + 0 + 2 = 5*t. Suppose -9 - t = 5*g. Let w(h) = 3*h**2 + 3*h + 3. Determine w(g).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((1*(sqrt(35) + sqrt(70)\/sqrt(2)))\/sqrt(7) + 3)**2.\nAnswer: 12*sqrt(5) + 29","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 142521\/16610 - -253\/302. Let f = -48\/5 + v. Let r = 2 + -1.9. Which is greater: f or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 120*t = 380*t - 81640. Which is smaller: 316 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 113215049?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*c = -47 - 5. What is the least common multiple of c and 3?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -101001111011000101100 - 10100100?\nAnswer: -101001111011011010000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 108 + -152. Let n be (-96)\/k + (-4)\/22. Is (-5 - -1)\/(n\/(-5)) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3993650?\nAnswer: 2, 5, 79873","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 42 and 56?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Convert 4410 (base 6) to base 5.\nAnswer: 13024","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -4593\/15953 - -5\/2279. Sort -31.59, 0, b in ascending order.\nAnswer: -31.59, b, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(z) = -3*z. Let j(y) = 28*y**2. Give j(a(f)).\nAnswer: 252*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Express (64 - 46 + 21)*(1146 - 1146 - 62*r) as i*r + f and give i.\nAnswer: -2418","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let d(c) be the first derivative of -1\/2*c**2 + 4 + 0*c. Let m(g) = g. Give d(m(k)).\nAnswer: -k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is -536 divided by 132?\nAnswer: -134\/33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (12\/(-70))\/((-1560)\/7280).\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Product of -1755 and -7954.\nAnswer: 13959270","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (5\/(-10)*8 - -5)*-1. Is 2\/351 equal to x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*p**3 + 3*p**3 - 3*p**3)*((-2*p + 2*p**2 + 2*p)*(2 + 1 - 4) + 2*p - 7*p**2 - 3*p**2 + 7*p**2).\nAnswer: -10*p**5 + 4*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate q**3 - 3402*q**2 + 57*q + 42425141 wrt q.\nAnswer: 3*q**2 - 6804*q + 57","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 359\/15 bigger than 24?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -70 = -4*o - 18. Calculate the remainder when 25 is divided by o.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2 + 0 + sqrt(11) + 2)**2.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -5*j**2 + 875*j - 13*j**2 + 2147*j - 3025*j.\nAnswer: -18*j**2 - 3*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 3 - ((-48)\/36)\/((-4)\/18). Let y be -1 - (-2 - j - 4). Determine f so that 16 + 0*f**4 + 43*f**2 - 19*f**y + 2*f**4 - f**4 - 32*f - 8*f**3 = 0.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 99744643.\nAnswer: 99744643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Work out 115926396 * 1.\nAnswer: 115926396","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose g - 2*z - z - 11 = 0, 3*g + 2*z = 0. Solve 0 = -g*b - 0 - 2 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 4065*f**2 + 0 + 62272*f - 62272*f + 0.\nAnswer: 4065*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 2?  (a) 73  (b) -3  (c) -12.9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 16*y - 1665 = 7*y. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 36 = 5*y - 129. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 8109 and 306?\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 400 + 1274?\nAnswer: 1674","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -27 - -35. Let x = 14 - u. Do x and 0.2 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((m*m**(-16)\/m*m*m)\/m*m*m**8*(m\/m**(6\/7))\/(m**(-31)\/m))**(9\/2) assuming m is positive.\nAnswer: m**(1647\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -99*a + 331 + 986 = -2544. What is the remainder when 728 is divided by a?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*t = -4*t + 48. Let v be (t\/1)\/((-6)\/8). Let k = -9 - v. What are the prime factors of k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((p*p**(-2\/7))\/p*p)**5*((p*p**(1\/3))\/p)**40 assuming p is positive.\nAnswer: p**(355\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 12 + -2 - ((-63)\/168)\/((-8)\/213)?\nAnswer: 1\/64","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(s) = s**3 - 10*s**2 + 11*s - 18. Let o be i(9). Solve 5*m - 10 = -o*m for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 20822.\nAnswer: 2, 29, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 3532561\/7 > 504652?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10175 = -128*r + 152819 + 3276. List the prime factors of r.\nAnswer: 2, 3, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 659 = -3*f - 103. Let u = 256 + f. Solve u*k + 0 = 4*j - 6, k - j = -3 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 81*h - 298 = 26 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 + 3 - 7)*(3*r**2 + 2*r - r + 0*r**2).\nAnswer: -9*r**2 - 3*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -j - 32 = -2. Let c = -3 - 52. Let g = j - c. List the prime factors of g.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(a) = 4*a - 5 + 5 - a. What is b(-5)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1692 is divided by 154?\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 562167200 and 490?\nAnswer: 490","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let p(d) = 17282*d + 17282*d - 34570*d + 5. Let m(t) = 3*t - 3. What is 5*m(s) + 2*p(s)?\nAnswer: 3*s - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 25434?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -77 in -8, -1840, 5?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Sort -254, 1\/3, 2\/7, 2\/9, 2\/13 in decreasing order.\nAnswer: 1\/3, 2\/7, 2\/9, 2\/13, -254","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-5 - -13)\/2 - -1. Solve d*o + j - 4 = -6, 4*o = 5*j - 19 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(z) be the first derivative of z**5\/20 - 3*z**4\/4 + 4*z**3\/3 + 10*z - 77. Let l(s) be the first derivative of q(s). What is l(8)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {f: 4, n: 2}. What is prob of sequence nfff?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there in 20.75625 milliseconds?\nAnswer: 0.0003459375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.17011 + 0.05.\nAnswer: 0.22011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 10 a factor of (5 - 33)*5\/(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 m and 2 p when four letters picked without replacement from {p: 5, m: 4, v: 6}?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-4)\/(-1)*(-749)\/(-428)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 96 is divided by 51?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Express 0*u + u - 1362*u**2 + 2 + 1408*u**2 as l*u + h*u**2 + f and give l.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 141374483 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let s(l) = -13*l. Let q(x) = 3865046*x**2. Calculate q(s(h)).\nAnswer: 653192774*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 28991510?\nAnswer: 2, 5, 31, 41, 2281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let z(x) be the first derivative of 13*x**4\/4 - 3*x**3 - 3. What is the third derivative of z(q) wrt q?\nAnswer: 78","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -2 + 1007237210?\nAnswer: 1007237207","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let h(p) = -6*p + 73. Let c be h(11). Let d be c + 4\/6*(-2 - -5). Solve 4 - d = -5*k for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-1)\/4)\/((-33)\/(-176)*2).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 64761?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 28 and 686.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:58 AM and 6:40 AM?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 72096.\nAnswer: 2, 3, 751","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 2  (b) -2\/11  (c) 0.02  (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 3*a*b + 14*a + 1468*b*k**3 + 3*k**3 wrt b?\nAnswer: 3*a + 1468*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -3977 + 4?\nAnswer: -3973","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -23 + 93. Let i = 22 + d. List the prime factors of i.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -17*b**2 + 19*b + 9*b**2 + 7*b + 11*b**2 - 26*b.\nAnswer: 3*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let z(a) = -a**3 - 8*a**2 - 8*a - 9. Let n be z(-7). Let b be (-1 - n)*4 + -2. Let x(q) = q + 4. Let c be x(4). Calculate the highest common factor of b and c.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (22 - 0) + 1 - (-84 + -162 - -247).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -7531*r + 3*r**2 + 7531*r.\nAnswer: 3*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 55976969 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*q + 8, -4*g + q = -4*q - 52. Let w be g\/2 + (-2)\/1. Let x(s) = -6*s + 8. Let a(d) = d - 1. Give w*x(o) + 14*a(o).\nAnswer: 2*o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 337541965 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is -190638947.1 rounded to the nearest one hundred thousand?\nAnswer: -190600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let h(a) = -592*a - 3549. Let l be h(-6). Solve 4*k = -5*x + 22 - l, -3*x + 4*k + 5 = 0 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (28\/(-2156))\/((-81)\/3969).\nAnswer: 7\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1 - -2*8*5 is divided by 21?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(a) = -12*a**3 + 2*a**2 + 4*a + 13. Let x(y) = y**3 + y + 2. Let c(j) = w(j) - 6*x(j). Give c(1).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (v\/(v\/v**(-1\/8)))\/(v\/(v*v*v*v**(-17))) assuming v is positive.\nAnswer: v**(-121\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 32\/72*4\/16?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -20373 (base 10) to base 6\nAnswer: -234153","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when (-42)\/5*125\/(-25) is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -1 + 1. Let d = 28 - b. Let p = d + -12. What is the remainder when 30 is divided by p?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -6 + 15. Suppose -5*k + 9*k + 32 = 0. Let u = w + k. Put u, 5, -4 in descending order.\nAnswer: 5, u, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 6 - -1. Suppose 3*p - 5 - d = 0. Suppose -4*r**5 + 5 + 8*r**3 - 3*r - 4*r**2 - r + 3*r**4 - 3 - r**p = 0. What is r?\nAnswer: -1, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 95 - 200 - 4*z**3 + 229 + z**3.\nAnswer: -3*z**3 + 124","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 48357*l**4 + 3*l**2 - 32*l + 123.\nAnswer: 1160568*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let a(m) be the second derivative of -m**7\/105 - m**6\/30 - m**5\/30 - m**2\/2 - 2*m. Let h(l) be the first derivative of a(l). What is j in h(j) = 0?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: 225411 - 252\nAnswer: 225159","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from xvkvvvxjxhxxhxv. What is prob of picking 1 v, 1 k, and 1 x?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((m*m**(-3)*m*m)\/m*m)\/(m\/m**(5\/4)) assuming m is positive.\nAnswer: m**(1\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 101 - 257. Let g = m - -243. Is g\/(-2)*(-12)\/9 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5595*y - 102794 = -611939 for y.\nAnswer: 91","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-4)\/(288\/(-684))*-4.\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -134215 (base 10) to base 2.\nAnswer: -100000110001000111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Round 40565000 to the nearest 100000.\nAnswer: 40600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*i - 484 = 4*v + i, 4*v + 480 = 5*i. Let h = v + 270. What are the prime factors of h?\nAnswer: 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1.2 in 3, 1\/4, -2\/15, -4\/5?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -0.12649381 - -0.1265. What is l rounded to 7 dps?\nAnswer: 0.0000062","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose s - 5 + 2 = 0. What is the tens digit of (77 + s)*((-6)\/5 + 2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(k) = -11236*k**2. Let t(z) = 6*z. What is t(d(c))?\nAnswer: -67416*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 17 - (20 + -5 + -4).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let l(y) be the first derivative of 7*y**5\/30 + 7*y**3\/6 - 3*y**2 + 11. Let b(v) be the second derivative of l(v). List the prime factors of b(3).\nAnswer: 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -2213 (base 5) in base 8?\nAnswer: -464","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9 = 4*y + 4*q - 3*q, -4*y + q = -15. Let s = -24 - -8. Let p = s + 31. Solve r = -v, 2*r + y*r - p = -2*v for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 2\/(-8) + 2\/72. Suppose -i + 6 = 2*i. Let b be (i + (-6 - -3))\/13. What is the third biggest value in b, -4, t?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(d) = 13*d**2 + 6*d. Let i be a(4). Let w be (2 + -17)*i\/(-6). What is w rounded to the nearest 100?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -45\/90006602 and 99\/238.\nAnswer: 90006602","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let r(q) = -3*q - 3. Suppose -3*n - 11 = -b, 14 = 3*b - 2*n + 2. Suppose -f - b = s + 1, 3*f - 12 = 0. Let i(c) = 3 + c + c - 1. What is s*i(y) - 4*r(y)?\nAnswer: -2*y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 1380085160 a multiple of 34?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-5 + 4)\/(2\/(-8)). What is the second derivative of -n + n**4 - n**4 + 4*n**g - 5*n**4 wrt n?\nAnswer: -12*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 1206939 to the nearest integer?\nAnswer: 1099","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -2923307\/66 + 44295. What is the common denominator of 42\/935 and q?\nAnswer: 5610","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-2 + 2 - 2)*(-3*n + 2*n + 2*n) + (-4*n + 3*n + 3*n)*(-41 - 114 + 38) in the form u + b*n and give b.\nAnswer: -236","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let w(o) = 2*o + 13. Let x = 159 + -100. Let g = x - 36. Calculate the remainder when g is divided by w(0).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*v + 18*v = -60 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 50a8 + -1337?\nAnswer: 3871","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Divide -256656 by 6.\nAnswer: -42776","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Convert 909697.2ng to kilograms.\nAnswer: 0.0000009096972","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Factor -29*v**2 - v**2 - 84*v + 0*v**4 + 9*v**4 + 21*v**3 - 24.\nAnswer: 3*(v - 2)*(v + 2)**2*(3*v + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(r) = -56482955*r**2. Let m(a) = 2*a. Calculate m(d(j)).\nAnswer: -112965910*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let c be ((-84)\/(-48))\/(1\/16). Let l = 58 - c. What is the highest common factor of l and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 38702 is divided by 12661.\nAnswer: 719","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Convert -1ca072 (base 16) to base 7.\nAnswer: -21642425","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (f**9\/f**3)**(9\/4)\/((f**0)**19\/(((f\/(f*f\/(f*f*f**(-8)*f)))\/f)\/f*f*f*(f*f**(-3\/4)*f*f)\/f)) assuming f is positive.\nAnswer: f**(35\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 1523049946?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -40*w = -t - 37*w - 12, -4*t = -w - 7. Let r = 8 + -6. Factor -15\/4*i**t - 9\/2*i**r + 6 - 3\/4*i**4 + 3*i.\nAnswer: -3*(i - 1)*(i + 2)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(t) be the first derivative of -4*t**6\/15 + 3*t**2\/2 - 6*t + 2. Let v(r) be the first derivative of b(r). Differentiate v(o) wrt o.\nAnswer: -32*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-78)\/(-19) + 36\/(-342)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 637246.35 milliseconds in hours?\nAnswer: 0.177012875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -11 = 100*m - 111 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-12)\/(-9)*21\/(-14) - -15. Suppose -i*v - 1 = -7567. What is the remainder when v is divided by 65?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:01 AM and 3:50 AM?\nAnswer: 49","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 293 minutes before 11:58 AM?\nAnswer: 7:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -13 - -33. Suppose k*w = 22*w - 140. Suppose h - 156 = -w. List the prime factors of h.\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 38967 + 2022*r**2 - 21468 - 19555 wrt r?\nAnswer: 4044*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -db (base 15) in base 4?\nAnswer: -3032","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 66 and 442.\nAnswer: 14586","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.000001274 rounded to seven dps?\nAnswer: -0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 5.8?  (a) 16  (b) -0.4  (c) 0.322\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 11 + (-2 - 3) + -1 + (28 - (-2 - -3))?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"}
{"text":"Question: Let y(t) = -2891*t + 10 + t**2 + 2876*t - 2. Calculate y(13).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of -7820, -7818, -7816, -7814?\n\"Answer: 2*f - 7822","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 5174 and 598.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-2)\/(-10) + (-36)\/5. Let p = t + 10. Solve -p*x = -x + 6 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-1)\/3 + 18\/(-54)*29.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 218 to the power of 1\/3, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -47545, -190160, -427823, -760510, -1188197?\nAnswer: -1710860","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -0.065 - -6.065. Let q = -43 - b. Let g = -49.45 - q. Which is greater: 1 or g?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-5)\/4)\/((-11)\/396*3)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1 + (sqrt(1008) + (sqrt(1008) - (sqrt(1008) + sqrt(1008) + -4*sqrt(1008)*2)))**2.\nAnswer: 64511","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0356711g in milligrams?\nAnswer: 35.6711","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -78817\/20 - -3937. What is the common denominator of m and -35\/16?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -26 + 5 - 4 = -x + 3*j, 0 = 42*x - 5*j - 82 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 349*n - 440 = 171*n + 170*n. What is the remainder when 1026 is divided by n?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -5, -90\/79, -3\/7?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let j(p) = -p**3 + 7*p**2 + 8*p + 3. Let s be j(8). Suppose -s*r + 3*d = -2469, -4*d + 8 = -8*d. Suppose -2*f + f = -r. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(y) be the first derivative of y**6\/27 + 2*y**5\/9 + y**4\/2 + 14*y**3\/27 + 2*y**2\/9 - 42. Suppose t(b) = 0. Calculate b.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -3\/5?  (a) 4  (b) 0.4  (c) 1\/5  (d) -1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let w(o) = -o**2 + 13*o + 13. Calculate w(-1).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -381 + 2789 = l. List the prime factors of (-1)\/(-4)*2 + l\/16.\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine v so that 2*v**2 - 185320*v + 555942 = 0.\nAnswer: 3, 92657","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is (-3)\/2*(-2)\/(-12) - 3067353289\/(-3124) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*z - 3 + 23. Suppose -4*u + 7*u = -5*s - 79, z*u - 3*s = -75. What is the units digit of (39\/(-9))\/(3\/u)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(f) = -f**3 + 31*f**2 - 47*f + 98. What is the units digit of c(22)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-2*sqrt(88) + sqrt(88))*2*-3*3)\/(-2*(sqrt(8) - sqrt(968)*-1)*-1).\nAnswer: 3*sqrt(11)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2922 divided by -487.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -0.29 + 0.19. Let s = 5687 - 5686.7. What is the fourth biggest value in w, s, 1\/2, 0?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 4, 9, -5, 2 in ascending order.\nAnswer: -5, 2, 4, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -3\/1255 + -3989\/11295. What is the common denominator of l and -87\/50?\nAnswer: 450","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -11*j = -7*j + 5*w + 14, 2*j - 3*w - 4 = 0 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 85869.44 years in centuries?\nAnswer: 858.6944","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 20693158 to the nearest integer?\nAnswer: 275","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 1 + -77a?\nAnswer: -779","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let y(n) = n**2 - 6*n - 2. Let z be y(6). What is the tens digit of 9 + -6*z\/4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 0.16 - 0.18. Let r = m - -0.12. What is the closest to r in -5, -4, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 527\/2 + 1 + 5\/(-10)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 1499003148?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2 + -7 + (-18 + (56 - 16) - -8).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 547, 571, 605, 655, 727, 827, 961, 1135?\nAnswer: 1355","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let r(t) = -t - 1. Give r(-1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -12 + 43. Let x = o + -29. Solve x*d - 25 = -3*d for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: -46 times 0.23\nAnswer: -10.58","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 1248742956 to the nearest integer?\nAnswer: 35338","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Sort -14, 4, 84 in increasing order.\nAnswer: -14, 4, 84","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let o(b) = -b**3 + 5*b**2 + b**2 - 6*b + 2*b - 7. Suppose 2*g - 16 + 6 = 0. Give o(g).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be ((-56)\/6)\/(1\/(-9)). What is the greatest common factor of a and 56?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*m - 2469 - 1444 = 0. What is the tens digit of m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -15*g**3 - 124*g**3 + 221*g**3 + 557*g**3.\nAnswer: 639*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from bbyndgc. Give prob of picking 1 d, 1 b, 1 y, and 1 n.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 425, 862, 1299, 1736, 2173?\nAnswer: 2610","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -8756 + 8855. Solve -48*q - 189 - t = 0 for q.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 3\/49 and -89\/5978?\nAnswer: 5978","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3*i + 47*i - 7*i.\nAnswer: 43*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: 1.7 * 189\nAnswer: 321.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 12858*t**5 + 18935*t**2 + 512633902*t.\nAnswer: 257160*t**3 + 37870","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*b**4 + 43300*b**3 - 43296*b**2.\nAnswer: -4*b**2*(b - 10824)*(b - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -0.1482 + 0.1982. Let z = 7 - 5. Which is the second smallest value?  (a) -1  (b) z  (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(o) = -3*o**3 - 39*o**2 - o - 1. Let q(v) = v**3 + v**2 + v + 1. What is -f(w) - q(w)?\nAnswer: 2*w**3 + 38*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 198337 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 716 is divided by 30.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 y, 2 f, and 1 t when four letters picked without replacement from sfaysfsffytu?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 495069 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let b(k) = -k**3 + 45*k**2 - 72*k - 62. Is b(43) a multiple of 66?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 3385 - 3383 + 228*x**3 - 119*x**3 as c*x**3 + d*x + y + n*x**2 and give c.\nAnswer: 109","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 320\/(-56) + 12\/2?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be -1*(-9)\/((-9)\/2). Let n be (-415)\/(-770) + f\/11. Which is smaller: 1 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {a: 4, d: 5, j: 1}. What is prob of sequence aad?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {i: 4, r: 12, c: 4}. Give prob of picking 1 i and 3 r.\nAnswer: 176\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 2214 (base 11) in base 12?\nAnswer: 1833","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*s = 0, 5*s - 9 = 3*y + 3 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 4858, 4855, 4850, 4843, 4834?\nAnswer: 4823","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 98.8 rounded to the nearest 10?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let l(y) = y**3 + y**2 + y + 2. Let a be l(0). Let f be (a*1)\/(28\/42). Factor -f + 6 - 2 - r**2.\nAnswer: -(r - 1)*(r + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 6236*f*y + 22*f - 574*y + 577 wrt f?\nAnswer: 6236*y + 22","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 2*h**2 + 1944*h - 1404 wrt h.\nAnswer: 4*h + 1944","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let s(q) = q**3 + q**2 - 4. Let d be s(0). Let h = 9391 + -9349. Let n = d + h. Does 8 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2779746065 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -1393*a + 1216*a + 177 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 8*z = -11*z - 3813 + 3851 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-21)\/9*(-1)\/(-35).\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let w(i) = -4*i + 1. Let n be w(-2). Suppose -15 = -429*c + 426*c. Suppose -n*k = -c*k - 1652. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(q) = -q**2 + 2*q + 3. Let g be r(3). Let u be 0\/(g + 2 + -1). Let j = 5 - 6. Which is bigger: j or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.01 * 15.\nAnswer: -0.15","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*f + 10 + 8 = 0. Let l = -6 - f. Let z be -2 - -1 - (l + -3). What is the highest common factor of 6 and z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(r) = -8*r + 27. Give t(4).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: -12 + 1347988\nAnswer: 1347976","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2297471689.\nAnswer: 617, 3723617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1068.162 months to years.\nAnswer: 89.0135","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -370 + 370.01. What is the closest to -2 in 3, -3, b?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -291\/365 - -14\/219. Let l = 1\/3 + c. Let a be 3*(-2)\/(-12)*4. Put l, -1\/2, a in decreasing order.\nAnswer: a, l, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 16817 and 1255?\nAnswer: 251","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 5104830 + 0.045526962.\nAnswer: 5104830.045526962","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Put 3, -7.1, -4, 1, -2\/21 in decreasing order.\nAnswer: 3, 1, -2\/21, -4, -7.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -13.9 - -14. Suppose 3*d - 4*r = 73, 4*d - 5*r - 43 - 54 = 0. Suppose -16 = 24*h - d*h. Put a, h, -5, 2 in increasing order.\nAnswer: h, -5, a, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 21586?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let y(g) = -g**2 + 4*g + 9. Let k be y(0). Suppose -k*b = -3*b - 12. Suppose b*r = 62 + 250. What are the prime factors of r?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -v**2 - 2*v**3 + 194 + 14*v**4 - 191 + v**2 - 5*v**4 as u*v + d*v**3 + o*v**2 + k*v**4 + b and give k.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2240*c = 2238*c + 4*r, -5*c - 6 = -4*r for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -10143 + 3?\nAnswer: -10140","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let w(v) be the third derivative of 0*v + 3*v**2 - 1\/24*v**4 + 0 - 2\/3*v**3. What is w(-6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4 = r - 0*u + 3*u, 3*u = 0. Solve -5*w - d + 2*d = -23, -5*w + 33 = r*d for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 1122356410?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 3 + 3 + 63 + 3. Suppose -s = -w + 13. Suppose w = 5*f - 2*q, 70 = 4*f - 2*q - 0*q. List the prime factors of f.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.7 times -30.7?\nAnswer: 21.49","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -300784  (b) 5\/3  (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.1 minus -477?\nAnswer: 477.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -1b791 + 36?\nAnswer: -1b757","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 15\/4 of a litre?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*h - 22 = -0*h. Suppose 70 = -6*q - q. Let x be (792\/20)\/((-4)\/q). Calculate the highest common divisor of h and x.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*w**3\/9 - 3868*w**2\/9 + 7624*w\/9 + 30880\/3 = 0 for w.\nAnswer: -4, 6, 965","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 1826656 and 281024.\nAnswer: 3653312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence qdqd when four letters picked without replacement from qddqqdqqqqqqqqqq.\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let w(r) = -27*r + 538. Let a be w(20). Put -7, a, 5 in descending order.\nAnswer: 5, a, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {t: 2, r: 15, g: 3}. Give prob of sequence rttr.\nAnswer: 7\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 1433348721?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*w**2 - w**2 + 4*w**2)*(2 + 2 - 5)*(9*w + 14*w + 19*w + (3*w - w - 3*w)*(2 - 4 + 4) + 1 + w - 1 - 2*w + 0*w + 3*w).\nAnswer: -42*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is -719 at most -720?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let b(x) = -x**3 - x**2 + 7*x + 4. Let j be b(-3). Put 22, 2, j, 0 in increasing order.\nAnswer: 0, j, 2, 22","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 w when two letters picked without replacement from tzzztvztww.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-20 - 3*u + 20)*(42*u**2 + 183*u**2 + u**2) to r + j*u**3 + c*u + y*u**2 and give j.\nAnswer: -678","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2*b - 2 - 4453*b**3 + 2*b - 5407*b**3.\nAnswer: -9860*b**3 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*v + 11 + 14 = 0. Let p = -5 - -5. What is the closest to p in v, -4, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 48 + -27. Let k = 695 - 422. What is the highest common divisor of z and k?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 1*8 - ((-2808)\/143 - -28)?\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 8\/(-88) + (-90)\/(-22)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 r, 1 b, and 1 m when four letters picked without replacement from {k: 1, e: 2, m: 2, r: 4, b: 10}.\nAnswer: 10\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -462529 or 1754?\nAnswer: 1754","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let x(z) = -z**3 - z**2 - 3*z + 104. Suppose -2*b = 4*g + 4, 2*g + 2*b = -3*b - 10. What is the units digit of x(g)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*c**5 - 65*c**4\/2 + 343*c**3\/4 + 1459*c**2\/4 + 1329*c\/4 + 351\/4 = 0. What is c?\nAnswer: -1, -1\/2, 9, 39\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 14\/4*(-642)\/2247.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1\/6 in -4\/23, 0.3, -0.067?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 13221 (base 4) in base 12?\nAnswer: 349","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 207279 and 27?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (p**(-1\/4))**3*(p*p**(-4))\/p*p*p**(-1\/3)*p*(p*p\/(p*p**(-2\/3)))**(6\/31)*p**(1\/4)*p**0 assuming p is positive.\nAnswer: p**(-467\/186)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 57 a factor of 11229?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let o(i) = -2*i**3 - 2*i**2 - 2*i - 1. Let q(g) = -g - 5. Let k be q(-4). Let u be o(k). What is the third smallest value in 3, u, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -313.778 rounded to 1 dp?\nAnswer: -313.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 502 minutes after 6:53 PM?\nAnswer: 3:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 6462, 6490, 6530, 6588, 6670, 6782, 6930?\nAnswer: 7120","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 33 - 29. Solve 5*h - 29 = 4*j, 3*h = o*h - 5 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 306498 - -4232.\nAnswer: 310730","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between -1505 and 2?\nAnswer: 1507","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 2 - -138?\nAnswer: 141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 5 + -5. Suppose j - 6 = 2*w. What is the remainder when 16 is divided by (-1)\/(-3) + (-17)\/w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(z) = -11*z**2 + 209*z + 8. Calculate x(19).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let d(u) = 731*u**3 + 733*u**3 - 1469*u**3 + 3*u**2 + 4. Let l(x) = -9*x**3 - x**2 + 2*x**2 + 8*x**3. Calculate d(t) - 3*l(t).\nAnswer: -2*t**3 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4*n**4 - 324*n**3 + 4716*n**2 + 85860*n - 291600.\nAnswer: 4*(n - 45)**2*(n - 3)*(n + 12)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 106450.2 millilitres in litres?\nAnswer: 106.4502","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1 = -3*b - 41. Let w = 15 + b. Let i be (w + 4\/(-3))*0\/70. What is i rounded to 7 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.001222663 rounded to 5 decimal places?\nAnswer: -0.00122","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (f**1)**(-18\/5)*(f\/((f\/(f\/f**(-3))*f)\/f))**33 assuming f is positive.\nAnswer: f**(642\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (72\/18)\/((-350)\/7).\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Express 16582 - 16567 - 5*q**2 + 18*q**2 as m + c*q + g*q**2 and give g.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -13 + 9. Which is the closest to 0?  (a) w  (b) 1  (c) -3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -1866 * 14.\nAnswer: -26124","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let g(h) = -9*h**3 - 2*h**2 + 2*h. Let b(o) = 91*o**3 + 21*o**2 - 21*o. Give -4*b(v) - 42*g(v).\nAnswer: 14*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-25 - -35)*(3 - 4).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: How many millennia are there in 51.17828 years?\nAnswer: 0.05117828","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let y(a) = a**2 + 16*a + 14. Suppose -10 = -5*i, -p + 4*p + 3*i + 45 = 0. Calculate the remainder when 121 is divided by y(p).\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(z) = -11*z**3 - z**2 - z. What is the tens digit of y(-2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 18715 is divided by 508.\nAnswer: 427","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let y(h) = -6*h**2 + 6*h + 9. Let m(u) = -5*u**2 + 5*u + 8. Let f(i) = -5*m(i) + 4*y(i). Calculate f(0).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 6218492 or -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 1752235?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let y(o) = o**2 + o + 1. Let q(f) = 3*f**2 + 3*f - 1. Let c(h) = q(h) - 5*y(h). Let z(x) be the first derivative of c(x). What is the derivative of z(p) wrt p?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -45 = 5*b + 5*j, 5*b - 2*j = -4 - 6 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 610 minutes after 10:24 PM?\nAnswer: 8:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 3 - 4. Let f(q) = -q**2 - 7*q - 8. Let o be f(-6). Which is the smallest value?  (a) o  (b) l  (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 92107\/7320 + 1\/2440. Find the common denominator of p and ((-3636)\/75)\/6*5\/(-4).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -32 + 30 + 0*c - 979*c.\nAnswer: -979*c - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-9)\/12 + (17 - (-2943)\/(-180)).\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of -28563, -114178, -256865, -456618, -713431, -1027298?\n\"Answer: x**3 - 28542*x**2 + 4*x - 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.626 in 4, -19, -100?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: 0.5 times 0.04\nAnswer: 0.02","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 0.03 and 82.\nAnswer: 2.46","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -27.5285 - 0.2115. Let d = 28 + u. Let s = -0.04 - d. Put 2, s, -4 in decreasing order.\nAnswer: 2, s, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -25730803*v**3 + 24842875?\nAnswer: -77192409*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((-1 + 0 - 1)*(3 - 1 - 3)*(2 - 6 + 16) - 51 + 24 + 30)*(4*v - v - 1 - 6*v).\nAnswer: -81*v - 27","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between 34272 and 5.4?\nAnswer: 34266.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 57, 44, 27, 6, -19, -48, -81?\nAnswer: -118","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Factor -96*v + 26*v**3 + 5*v**2 - 45*v**2 - 3*v**3 - 27*v**3 + 0*v**3.\nAnswer: -4*v*(v + 4)*(v + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -738*g + 522 - 522 to p*g + n and give p.\nAnswer: -738","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let g(r) be the first derivative of -5*r**4\/24 + 3*r**2\/2 + 5. Let d(j) be the second derivative of g(j). Let v(k) = 2*k**2. Determine d(v(l)).\nAnswer: -10*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Expand (t - 4*t + 0*t)*(0*t**3 + t**3 - 3*t**3) + 4 + t**4 - 4 + (0 + 2*t**4 + 0)*(-3 + 1 + 1) - 2*t**4 - t**4 + t**4.\nAnswer: 3*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*n**2\/9 - 5150*n\/9 + 5152\/9.\nAnswer: -2*(n - 1)*(n + 2576)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*u + 21*t = 17*t + 34, -t + 25 = -4*u for u.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 32511, 65093, 97675, 130257?\nAnswer: 162839","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let o(m) = -24*m + 35. Calculate o(13).\nAnswer: -277","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let x(m) = 16*m - 425. Give x(25).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 25120042 (base 8) in base 13?\nAnswer: 11c248a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let w(x) = -12*x + 147. Let n(a) = -19*a + 220. Give -5*n(y) + 8*w(y).\nAnswer: -y + 76","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Express -10*a**3 + 0*a**3 - 8*a**3 - a as t*a**2 + i + f*a + n*a**3 and give f.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 42519*j - 147053?\nAnswer: 42519","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -758, -5705, -19036, -44945, -87626, -151273?\nAnswer: -240080","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((l*l*(l\/(((l**(2\/13)\/l)\/l)\/l))\/l)\/l**(2\/3))**(-7\/2)\/((l**(-4)*l)\/l**(-3\/2))**(-1\/24) assuming l is positive.\nAnswer: l**(-9167\/624)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"}
{"text":"Question: Let w(b) = b. Let h(g) = -g**3 - 19*g**2 - 14*g + 37. Let j(o) = h(o) - 2*w(o). Let p be j(-18). Is p at most -1\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 4, -6\/5, -4, -1\/8 in increasing order.\nAnswer: -4, -6\/5, -1\/8, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let t(f) = -8*f**2 - 15. Suppose b - 5 - 1 = 0. Suppose 0 = b*r - 5 - 13. Let k(c) = -17*c**2 - 31. Let i(q) = r*k(q) - 7*t(q). Differentiate i(a) wrt a.\nAnswer: 10*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -76 or 31?\nAnswer: -76","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let f(d) = -44*d + 145. Let y be f(0). What is the second derivative of -38*a**3 + a**4 + 5*a + 72*a**2 + 73*a**2 - y*a**2 - 13 wrt a?\nAnswer: 12*a**2 - 228*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -42607, -170766, -384477, -683740, -1068555, -1538922?\nAnswer: -2094841","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (p\/(p\/p**(-6))*p*p*p**(-1\/3))**(-37\/4) assuming p is positive.\nAnswer: p**(481\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Product of 2.915 and -25.695.\nAnswer: -74.900925","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -22220011201 + 1032?\nAnswer: -22220010103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*i - 3*i - 5*l = 3121, 5*l = -i + 1568. List the prime factors of i.\nAnswer: 3, 521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 187 and 3298?\nAnswer: 36278","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*v - v - v)*(-54*v + 45 - 228*v - 45).\nAnswer: 1128*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*t = 6, -5*y + 12 = -t + 30 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1426*r - 14 = -1434*r - 2*b, 5*b = -4*r + 19 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let l(x) = x**2 - 6*x - 6. Suppose 4*b - 11 - 5 = 0. Suppose 0 = -2*o + o - b. Calculate the remainder when l(o) is divided by 18.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from kvvbv. Give prob of picking 1 k and 3 v.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 0.18 - -0.08. Let g = h + -1.35. Round g to 1 dp.\nAnswer: -1.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-23 + 230 + 45*h - 49*h)*(-h - 3 + 1 + 4) in the form f + p*h**2 + c*h and give f.\nAnswer: 414","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -0.7, -5, 0?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (g - g + 2*g)*(g + g + 0*g) - 8 + 12*g**2 + 8 + (-8 + 8 + 3*g)*(5*g + 0*g - 6*g) + 0 + 0 + g**2.\nAnswer: 14*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (1 + -1)\/(0 - -1). Suppose q*d - 11 = -d. Suppose 5*n - 4*l = -d, -4*n = -5*n - 3*l + 13. Which is smaller: n or 1\/7?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -3296 + 3292. Which is the biggest value?  (a) 0  (b) s  (c) 3  (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 110560 and 160?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is (6 - -1) + -64 + 131 + 0?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9 - 31 = -4*k. Let u(s) = 3*s + 28. Let y be u(-8). Suppose 0*f - y*f = -3*f. Solve f = -10*a + 5*a + k for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -2.93098 - 0.06902. Let h = 3 + -2. What is the third smallest value in h, a, 0.36?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -527208 divided by 131802?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((z\/(z\/(z\/(z**(1\/3)*z)))*(z\/z**(-5\/4)*z)\/z)\/(((z\/(z*(z**0\/z)\/z))\/z)\/(z*z**(-3))))**(1\/42) assuming z is positive.\nAnswer: z**(-13\/504)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: 70 - (-79 + 171 + 89)\nAnswer: -111","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 5 + (-1 + 5 - 6 - -9) + -3.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 4869 - 12892\/3. Is z less than 573?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Do 2\/37375 and -21 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from wmwmwwwww. What is prob of sequence wmm?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (n\/n**(-1\/3)*n**(1\/2))\/((n**(-4)*n)\/n**4) assuming n is positive.\nAnswer: n**(53\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 885138468?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -69 - (-3 + -2 + 10 + 3 - (921 + -917)).\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Round 219057922 to the nearest 1000000.\nAnswer: 219000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -4*m**4 - 89*m**3 + 2*m**2 + 40835 wrt m?\nAnswer: -16*m**3 - 267*m**2 + 4*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Work out 2992.6 * -10.\nAnswer: -29926","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(126) - ((sqrt(126) + -3*sqrt(126))*2 - sqrt(126) - sqrt(126)) - sqrt(126))\/sqrt(6))\/(sqrt(175) - 2*sqrt(175)*3).\nAnswer: -6*sqrt(3)\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 36432638 to the nearest integer?\nAnswer: 6036","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is -7 + -0.91843?\nAnswer: -7.91843","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((f*f**(-3\/2))\/f)\/(f*f**3*f)*f**(1\/21)*f**0\/f assuming f is positive.\nAnswer: f**(-313\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -201 + 31?\nAnswer: -1d0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 66 minus 629233588.43?\nAnswer: -629233522.43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 25986 a multiple of 142?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*i + 5*b - 1357 - 18, -3*i + 830 = 4*b. Suppose 2*g - 120 = i. Suppose 0 = -2*p + g + 333. Is p a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((z**(-1))**16*z*(z\/(z*z*z**(-1)))\/z*z*z\/(z\/(z\/(z\/(z*z\/((z*z**(-1\/5)\/z*z)\/z*z))))))**(8\/5))**(-17\/3) assuming z is positive.\nAnswer: z**(3128\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -11 - -56. Let n = -20 - -22. Suppose -t = 5*o - y, -6 = -n*o + 3*t - 5. Solve -5*u - 33 = -o for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6347 = -16*m + 5*m. Let y = m - 210. What is the tens digit of y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 577 divide 452456?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 9\/48 + 11277\/(-1008).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 0.76 - -31.24. Let d = p + -31.9. Sort -2\/7, -4, d in descending order.\nAnswer: d, -2\/7, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 1367 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: -157842 divided by 6\nAnswer: -26307","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from xxxxxxx. What is prob of picking 2 x?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 f and 1 c when two letters picked without replacement from kfvdodvc.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*n - 3*t = 195, 0*n - t - 149 = -4*n. Calculate the common denominator of 36\/121 and (9\/(n\/(-248)))\/((-264)\/10).\nAnswer: 726","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 117, -14163\/5, -5, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve l = -4*s - 5, -5*l = 7*s - 14*s - 29 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let k(p) = p + 4. Let q(b) = -b**2 + 14*b + 22. Let c be q(15). Let x(z) = 5*z + 12. Let g(j) = c*k(j) - 2*x(j). Let y(l) = l - 1. Give -g(a) - y(a).\nAnswer: 2*a - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*b = -3, 5 = 3*w + 4*b - 3*b. Factor 0*c**w - 3*c - 2 + c**2 - 2*c**2.\nAnswer: -(c + 1)*(c + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 10532254 (base 6) to base 14.\nAnswer: 85b2a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let p(g) be the second derivative of -25*g + 1\/12*g**4 + 5\/2*g**2 - 5\/6*g**3 + 0. Suppose 2*c + s - 4 = 3*s, -c + 3*s = 4. Give p(c).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(h) be the third derivative of -h**5\/20 + 2*h**2 - 4. Let w(a) = 2*a. Give w(g(u)).\nAnswer: -6*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (1 - 0) + -7 + 20\/(-975)*-285.\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 47789193 is divided by 592.\nAnswer: 585","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -7 + 5. Let s = 0.124 + 0.176. What is the closest to -4 in f, s, 3?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 240\/(-90)*16\/(448\/(-6))\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (((-45)\/6)\/((-12)\/2))\/(3\/(-12))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (6*z**2 - 2*z + 0*z - 9*z**2)*(397 - 840 - 2972) to d*z + x*z**2 + n and give x.\nAnswer: 10245","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is -936663 divided by 72051?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Sort -551, -3, -2, -12, -1\/5, 3 in descending order.\nAnswer: 3, -1\/5, -2, -3, -12, -551","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((o**(-1\/3))**(-7\/10))**(-41)*(o**(-3\/11)\/o*o**(9\/4))**(-6) assuming o is positive.\nAnswer: o**(-2546\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -t - 59148 = -10*t. Suppose -14*n - 930 = -t. Does 21 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 19913 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -5652, -22615, -50888, -90471, -141364, -203567?\nAnswer: -277080","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -32, -1\/4, -1, -2\/47?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Put 3, 2, -8, -3, -1 in increasing order.\nAnswer: -8, -3, -1, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -z + 3*f = -257, f - 766 + 2107 = 5*z. Suppose z = 5*c - 56. Suppose -38*q - 14*q = -1352. What is the greatest common divisor of q and c?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 9*m**3 + 5 - 527*m**2 - 5 - 6*m**3.\nAnswer: 3*m**3 - 527*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let p(k) = -25*k**2. Let z(f) = -7*f. What is p(z(d))?\nAnswer: -1225*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {w: 1, l: 3, q: 4, y: 2, x: 1}. Give prob of sequence qx.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 99 at most 99?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: ((-1)\/(-1))\/((-6)\/12*1)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1b65 (base 15) to base 7.\nAnswer: 23222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = o - 4*a - 37, -12 = -o + 2*a - 3*a. What is the remainder when (-2)\/(-9) - 896\/(-18) is divided by o?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 5542 - 3?\nAnswer: 5537","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -4, 0.1, -1008?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify v\/v**(-4)*v**4*(v*v\/(v\/v**(-1)))**(2\/7) assuming v is positive.\nAnswer: v**9","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*m - 23 = -5*q - m, 3*q - 12 = 3*m. Let g(x) be the third derivative of -1\/3*x**3 - 1\/12*x**4 + 0*x + 8*x**2 - 1\/120*x**6 + 1\/12*x**q + 0. Give g(2).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (642*p + 657*p + 894*p + 288*p)*(-4 + 4 + 4*p**2)*(1 - 5 + 2)*(0*p + p + 2*p).\nAnswer: -59544*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-480)\/640 - (-1 - 38\/8) - 13.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(o) be the first derivative of o**2\/2 + 6*o - 3. Let h be c(-5). Calculate the greatest common factor of h and 9.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -64 bigger than -57?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*z = -33, -4 = 3*k - 4*z + 49 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 2261121797 a multiple of 2960?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 957065766 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: What is 553 minutes after 4:02 PM?\nAnswer: 1:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 181 is divided by 55.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve 878*v = 882*v + 4 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 2095 + -1422. What is the hundreds digit of k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -94 - -96. Is 11\/(x*2\/124) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*y + 4*y - 8 = 0. Suppose -o = l - 1 - y, -o + 4*l = 2. Let a(q) = -3*q**o - 2*q**2 + 4*q**2. Let h(z) = 2*z. Determine h(a(r)).\nAnswer: -2*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Round 21765.442 to the nearest ten.\nAnswer: 21770","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.34127404 rounded to two dps?\nAnswer: 0.34","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: 2221020023 (base 4) to base 15\nAnswer: da3d2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 9.994 + -10.074. Let d = 4 + 4. Let z be ((-2)\/d)\/(1\/2). Which is the biggest value?  (a) -1\/7  (b) z  (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -23 + (52 - 11) + -29?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is (28\/22 - (-121 + 122))\/(3\/(-2))?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from tvtrttvttttvrtttt. Give prob of picking 1 t and 1 v.\nAnswer: 9\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let k(g) = -4*g. Let s(j) be the third derivative of j**4\/24 - j**2. Determine k(s(z)).\nAnswer: -4*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 8 - 3. Let n be -1*1 - (-20)\/25. Sort -4, n, z.\nAnswer: -4, n, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 540.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*k = -2*a - 24, -4*k - 4*a - 12 - 16 = 0. Let y(h) = -h**3 - 11*h**2 - 10*h + 7. Calculate y(k).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.2084809 litres to millilitres.\nAnswer: 208.4809","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*n - 1 + 4 = 0. Let t(s) = -5*s + 5*s + n - 7*s. Let y(c) = -2*c - 49. Let l be y(-24). Determine t(l).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(c) = c**2 + 17*c - 16. Let x be s(-18). Suppose 3*f - 246 = 3*a, 167 = x*f + a - 2*a. Suppose 4*n - f = 119. What is the units digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -2 + -4. Let g = 0.178 - -0.822. Which is the nearest to q?  (a) g  (b) 0.2  (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 25128943 is divided by 220429.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 1561353467 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 559 minutes after 8:14 PM?\nAnswer: 5:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve 510 = -53*i + 87*i for i.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -0.322 + -0.078. Which is the smallest value?  (a) v  (b) 0.37  (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (7 + -11)\/(0 - 2). Suppose 5*l + 42 = z*f, 3*f - 4*l - 29 = 48. What are the prime factors of f?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 131571 and 6678.\nAnswer: 97625682","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is -1087875 divided by -120875?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (45\/(-12) + -2)*-12. Let b = m - 10. Let x = -23 + b. What are the prime factors of x?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1896*z + 11*z**2 - 4*z**2 + 1880*z.\nAnswer: 7*z**2 - 16*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 110617 a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve 6*x - g = 10*x + 18, -54 = 13*x + g for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(77) - (sqrt(77) + sqrt(77)*-1))\/sqrt(11) - sqrt(1008))**2.\nAnswer: 847","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*k - 26 = -5*k - 5*g, 5*k - 2*g = 2. Differentiate 0*n + 0*n - n**2 + 1 - k*n**2 with respect to n.\nAnswer: -6*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*m - 4 = 4*z, -5*z - 2 = 3*m + 3. Let d(c) = -3*c + 7*c + 4*c + m*c. Let u(j) = 2*j - 2*j + 0*j + 4*j. What is d(u(h))?\nAnswer: 32*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 25017 and 402.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 3802862980?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let i(x) = 11526*x**3 - 7*x**2. Let n(m) = -12674757*m**3 + 7698*m**2. Give -7698*i(o) - 7*n(o).\nAnswer: -3849*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*x + 11 = -o + 28, 13 = 5*o - x. Suppose -3*j = 3*v - 3, 5*v = -2*j + 3 + 5. What is the highest common factor of o and v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (7 - -1) + 2 + 9 + 87 + -102?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let v(x) = 2*x + 2. Let g be v(5). Suppose -2*p = p - g. Suppose 0 = 2*w - 3*u, 1 = -3*w + 2*w + 2*u. Solve 19 = w*f + p for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -2\/13  (b) -4  (c) 2.1  (d) 2  (e) -0.082  (f) 3\/26\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let l(u) = 6367*u - 210113. Determine l(33).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 5229 to the nearest integer?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*h + 9 = -3*x, 9 + 0 = -3*x. What are the prime factors of (h + -140)*(-5 + 85\/20)?\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(26)\/sqrt(2) + -1)**2 + 1.\nAnswer: -2*sqrt(13) + 15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:31 PM and 8:48 PM?\nAnswer: 137","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let j(m) = -6*m**3 - 3*m**2 - 4*m + 12. Let o(u) = 5*u**3 + 3*u**2 + 4*u - 12. Let d(v) = -6*j(v) - 7*o(v). What is n in d(n) = 0?\nAnswer: -2, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 79*v**3 + 2*v**3 - 20*v**3 + 41*v**3.\nAnswer: 102*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Does 10 divide 1281180?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 697 minutes before 9:42 AM?\nAnswer: 10:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 108 and 372.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose m + 69 = 72. Suppose 20 = 48*i - 52*i - 5*v, 0 = -m*i + v + 4. Solve i = 14*w - 12*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {j: 8, q: 5}. What is prob of picking 4 q?\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 204 to the power of 1\/3, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 2268029 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 1280, 4543, 9970, 17561, 27316, 39235, 53318?\nAnswer: 69565","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(100) - sqrt(100)*1)\/sqrt(10))\/(-1*sqrt(5)*2).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Express (0*n - 4*n + 2*n)*(4*n - 2*n + 0*n) + (3 - 2 - 2)*(0*n**2 - 4*n**2 - 4*n**2) as q*n**2 + l*n + x and give q.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-4*(sqrt(297)\/sqrt(11) + sqrt(3) + (sqrt(3) - sqrt(675))))**2.\nAnswer: 4800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 72900 and 350.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -1720*n**3 - 400*n**2 - 1 wrt n?\nAnswer: -10320","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 10778 is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 3689 and 2788187?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*n - 3*z + 4 = 0, -3*n + z - 4*z = 0 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let l(u) = 13*u**4 + 75*u**3 + 59*u**2 - 85*u - 67. Let w(f) = 7*f**4 + 37*f**3 + 29*f**2 - 43*f - 33. Let o(i) = 3*l(i) - 5*w(i). Factor o(n).\nAnswer: 4*(n - 1)*(n + 1)**2*(n + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -72*o + 345 + 341 + 341 - 1027 + 22*o.\nAnswer: -50*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -2644  (b) 2  (c) 1\/3  (d) 2\/13  (e) -5  (f) -25\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 5457 and 839736.\nAnswer: 321","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (d\/(d\/d**(-1)))**(7\/8)\/(d**(1\/2)\/((d*d*d*d\/d**(-2\/15)*d*d)\/d))*(d**1)**6\/(d**(1\/2)\/(d*(d**0*d)\/d)) assuming d is positive.\nAnswer: d**(1231\/120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 9861099 is divided by 57.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let k(w) = 5*w. Let o(j) = -6*j. Let z(c) = 5*k(c) + 4*o(c). Let v(n) = n - 1. Let p be v(4). Let s(y) = 2*y + p - 3. Determine z(s(g)).\nAnswer: 2*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 28\/3 of a year in months?\nAnswer: 112","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:15 AM and 6:17 PM?\nAnswer: 662","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 3398222?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -39\/251 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 13926\/2532*(2*28*-1)\/((-22)\/2).\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence hh when two letters picked without replacement from {g: 8, h: 5}?\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let i(m) = -125*m**2 + 65*m**2 + 65*m**2 + m**3 + 6 + 7*m. Suppose 5*w + 5*n + 12 - 32 = 0, -2*w - n + 6 = 0. Let f(d) = -d - 2. Let t be f(w). What is i(t)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*a**2\/17 - 3343918*a\/17 - 13375640\/17.\nAnswer: -2*(a + 4)*(a + 1671955)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 3 + (1 - 0) + (-3 - -2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of (-70641)\/(-15) - (-123)\/205?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(o) = -4*o**3 + 20*o**2 + 159*o - 60. Give p(-9).\nAnswer: 3045","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Determine a, given that 5985*a**5 + 82115*a**4 + 263820*a**3 - 80540*a**2 - 480*a = 0.\nAnswer: -8, -6, -1\/171, 0, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*i = -3*i. Solve i - 10 = 2*c for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: (2\/20*(-6)\/(-9))\/((-993)\/(-13240))\nAnswer: 8\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Put 10, -4, 3, 19 in increasing order.\nAnswer: -4, 3, 10, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let t(z) = -25*z**3 + 36*z**2 + 8*z - 16. Let s(n) = 16*n**3 - 24*n**2 - 5*n + 10. Give 8*s(m) + 5*t(m).\nAnswer: 3*m**3 - 12*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*l + 25 - 1. Let a = l - -5. Let w(o) = -5*o**3 - 2*o**2 - 2*o. Let v(r) = 4*r**3 + 2*r**2 + r + 1. Let y(q) = -4*v(q) - 3*w(q). Calculate y(a).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 318637698304.198 - 4?\nAnswer: 318637698300.198","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -x + 0*x - 11 = -3*r, -2*r = -8. Let u(d) = 17*d**2 + d. What is the least common multiple of u(x) and 73\/4 - 1\/4?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence wwrw when four letters picked without replacement from {k: 4, r: 2, w: 5}?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -18 + 24. Let x be ((-22)\/n)\/((-1)\/21). Calculate the greatest common factor of x and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0 in -0.2, 4, 1387, 3\/4, 5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*d + 87*d - 1910 = -111*d. Solve -5*z - d*t = -5*t + 15, -t = 4 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 11849013 is divided by 21.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: -5733.87 times 0.478\nAnswer: -2740.78986","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let w(j) = 3*j**3 + 83*j**2 - 213*j + 44. What is w(-30)?\nAnswer: 134","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -3 + 2 - (4 + (-12 - -3)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5*(sqrt(85)*-2*2)\/(sqrt(20)\/sqrt(4)*-2 + sqrt(5))*-6.\nAnswer: 120*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let c(m) be the first derivative of -m**4\/4 + 4*m**3 - 11*m**2\/2 + 2*m + 3. Let d be c(11). Solve f + d = 5*r, 2*r + 14 = 5*f + r for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 869*t + 6766 = 670*t for t.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let s(t) = -15*t + 27. What is the tens digit of s(-9)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 1284 and 22666.\nAnswer: 14551572","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -23 + 2791*26\/3094 - 8\/(-68)?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -1227*b - 196*b - 1300*b + 153*b - 4*b + b + b + (b - 4*b + 5*b)*(0 - 3 + 5) + b - b + b.\nAnswer: -2567*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*n + 2*n - 470 = 0. What is the remainder when n is divided by 24?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 1685085123?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2\/9, 0.3, 9.4, -0.09 in descending order.\nAnswer: 9.4, 0.3, 2\/9, -0.09","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 20221 divided by 10.\nAnswer: 20221\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 82699 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in -5, -1\/5, -1125, -3, 0?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 4121717 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -113\/49200 and 149\/624840?\nAnswer: 6248400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 257 + 8*s + 5*s + 17*s - 2*s + s to the form q*s + c and give q.\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve 21 = -1030*i + 1035*i + 3*l, -4*l = -2*i - 2 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -0.73 + 0.17. Let b = a + 0.16. Let g = -3 - -5. Put g, -4, b in ascending order.\nAnswer: -4, b, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 523 = 3*p + 4*m, -2*p - 5*m = -5*p + 568. Suppose -87 + 0 = -2*z - 3*u, 4*z - u - p = 0. What is the remainder when z is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 117\/615518 or 0?\nAnswer: 117\/615518","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 1 - 0. Let b = 1 + j. Suppose -r + 0*r = -6. Solve -w + b = r for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 22651 times 0.1?\nAnswer: 2265.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 3\/5 in 215, -0.4, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -5\/27 and (1 + (-268)\/260)*1455\/(-72).\nAnswer: 1404","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -2\/13, -1, 5, 0.5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let w(b) = 13*b. Let j(m) = -11422*m. What is j(w(h))?\nAnswer: -148486*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Divide -5369 by 1464.\nAnswer: -5369\/1464","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of 4990, 10642, 17010, 24100, 31918, 40470?\n\"Answer: t**3 + 352*t**2 + 4589*t + 48","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*a - 42 = -3*j, 0*j - 3*j + 51 = 4*a. Suppose -a = -5*h + 4*h. Let b = -19 - -45. What is the remainder when b is divided by h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -1517, -4867, -10395, -18101, -27985?\nAnswer: -40047","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let d(f) = -3*f + 4*f**2 + 14*f - 2*f - 28 - 4*f. Is d(9) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many micrograms are there in five eighths of a milligram?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let f be ((0\/1)\/(-1))\/(-2). Suppose 0 = -3*m + 4*x + 1, 0*m + 5*x = m - 4. Let i be (-2)\/((-20)\/6) + m. Is i < f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -313344512 - 4?\nAnswer: -313344516","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0?  (a) -802  (b) -1\/7  (c) -0.5  (d) -1\/15  (e) 7\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is ((-1772)\/(-6) + -2)*162\/135 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between -15377 and 16.215?\nAnswer: 15393.215","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*x - 5*p + p - 74, 4*x + p - 130 = 0. What is the greatest common factor of 231 and x?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-9 - -9 - 10) + 11\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: (3 + 0 - 2) + 366 + -378 + -1 + -4\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Do -2868 and -2830 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 17*x + 19*x - 720. Suppose -x*u = -13*u. Solve u = -n - 0*n + 5*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 14157 + -14142. Solve -d + 6 = -3*d, -3*g = -5*d - q for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(j) = -160*j**2 - 2. Let c(r) = -9*r**2 + 265. Determine c(m(a)).\nAnswer: -230400*a**4 - 5760*a**2 + 229","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 792624 is divided by 198024?\nAnswer: 528","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 1969935463?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let t(d) = 522*d - 44951. Calculate t(86).\nAnswer: -59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*x + 9*x = 6*x. Let m(u) = 10 + x - 10 - 2*u. Let f(g) be the third derivative of 37*g**5\/30 - 3*g**2. Give m(f(y)).\nAnswer: -148*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*d + 2 = -3*y + 8*d, -2*d = -3*y - 17. Let o(p) = -2*p**2 - p. Let i(x) = 3*x**2 + x. Calculate y*o(l) - 4*i(l).\nAnswer: 6*l**2 + 5*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is (52\/130)\/(-2*(-1)\/(-2) - 0)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 7179?\nAnswer: 3, 2393","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of -115, -335, -703, -1219, -1883, -2695?\n\"Answer: -74*h**2 + 2*h - 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*w + 5 = 7*w. Solve -w = -k + 6*k for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -45*s + 5*s + 241 = -199 for s.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 6487?\nAnswer: 13, 499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1*(-3)\/((-15)\/25).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(44)\/(sqrt(8)\/sqrt(2)) - sqrt(11) - (sqrt(11)*2 + -4 - sqrt(11))) + -5)**2.\nAnswer: 2*sqrt(11) + 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Factor n**2\/3 + 56*n + 2352.\nAnswer: (n + 84)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (v**(-4)\/(v\/(v\/(v*v\/v**(5\/2)*v))))\/(v\/v**0)**(-1\/14) assuming v is positive.\nAnswer: v**(-31\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 35 a factor of 61393430?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let i(b) = 58*b**2 + 250*b + 246. Let h(p) = -10*p**2 - p. Let u(m) = -12*h(m) - 2*i(m). Let u(l) = 0. What is l?\nAnswer: -1, 123","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(m) = -m - 11. Suppose 2*g - 19 = 5*c, 2*c - 4*g - 1 = 1. Let s be t(c). Let r be (s\/(-12))\/((-1)\/(-30)). Solve -z + r = -4*z for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 0*o**4 - 7*o**4 - 5*o**4 + (3*o**4 - 4*o**4 + 3*o**4)*(-3 + 5 - 1).\nAnswer: -10*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 4, 0, -14, -3\/2, -0.1?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 96927 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 5 + -2. Let l = -41.4 - -42.4. Let j = 4 - 4.2. What is the closest to j in l, o, 4?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3551910679 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Divide -452 by 4.\nAnswer: -113","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -227, -912, -2055, -3656?\nAnswer: -5715","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*v = 3*z - 310 + 315, -5*z - 4*v - 9 = 0 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let q(n) = 2*n. Let u(x) = -3*x**2 + 8. What is q(u(v))?\nAnswer: -6*v**2 + 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-65)\/26*2\/20.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 22264 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 248696959?\nAnswer: 7, 223, 159319","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 902, 905, 908, 911?\nAnswer: 914","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (11\/(-3))\/(10\/(-30)). What is the greatest common divisor of w and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = z + 6*b - 33, 65*b - 30 = -5*z + 62*b for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (0 - -2)\/((-8)\/28). Let y(w) = -7*w - 10. List the prime factors of y(c).\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5 + (sqrt(24)\/(sqrt(200) + sqrt(8)))**2.\nAnswer: 61\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 18 - 12. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0 + 1 + (990\/11)\/(-15)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1821?\nAnswer: 3, 607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Find k, given that 5*k**5 + 127750*k**4 - 2685565*k**3 - 15599330*k**2 - 26082940*k - 13296920 = 0.\nAnswer: -25571, -2, -1, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is -2122100112 (base 3) in base 16?\nAnswer: -cb30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let a(t) = -16*t**3 + t**2 + t + 1. Let q be a(-1). Let f = 16 + -28. Let j = q + f. Solve j*z + 8 = -3*m - 5, 0 = -4*z + 5*m - 40 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(k) be the third derivative of k**6\/4 - 7*k**5\/15 - k**4\/12 - 220*k**2 + 1. Let a(r) = 0. What is r?\nAnswer: -1\/15, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -9 + 13. Let r be 27 + 1\/(2 + -3). Suppose d*w - r = -4*m - 6, 0 = 4*w + m - 29. What is the remainder when 31 is divided by w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -10101 - -101?\nAnswer: -10000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 66514662 to the power of 1\/2, to the nearest integer?\nAnswer: 8156","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let b(j) = -j**2. Let s be 3 + (0 - (2 - 3)). Let k(z) = 5*z + s*z - 12*z. What is b(k(h))?\nAnswer: -9*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*f + 6*c = 5*c - 6, -6 = -f - 2*c. Let i = 7 + f. Put i, 1, 2 in decreasing order.\nAnswer: i, 2, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Do 1 and -2\/403375 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let p(f) be the first derivative of 15125*f**4\/4 + 21725*f**3\/3 + 3660*f**2 + 720*f - 1338. Suppose p(m) = 0. Calculate m.\nAnswer: -1, -12\/55","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(c) = c. Let r = -6 - -8. Let w(b) = 0*b**2 - 3*b**2 + 5*b**2 - 3*b**r. What is i(w(v))?\nAnswer: -v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*d**3\/5 + 28646*d**2\/5 + 376358*d - 1910438\/5 = 0. What is d?\nAnswer: -14257, -67, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 34 a factor of 24503?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*t + 3*r + 32 = 0, 2*t + r - 4*r = 22. What is the closest to -2\/7 in t, 17, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 19 - 15. Suppose 0 = -2*j + h*j - 4. Let w(b) = -4*b**3 - 2. Let i(q) = 9*q**3 - q**2 + 5. Suppose -7*f = -2*f - 25. What is f*w(a) + j*i(a)?\nAnswer: -2*a**3 - 2*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 4*i - 2*k - 12, 0 = -4*i + k + 1 + 5 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is (105960\/2 - -16) + -15 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -3 - 112031022?\nAnswer: -112031031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 3*i**4*x + 12*i**4 + 12*i**3*x**2 + 3*i**3 - 13*i**2*x**2 - 13*i**2 - 3*i - 2*x**2 + 147 wrt i.\nAnswer: 72*i*x + 288*i + 72*x**2 + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -2986074*r**3 - 16142195 with respect to r.\nAnswer: -8958222*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-8 + 4068\/90)*(-120)\/72.\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -0.1478 - -609.1478. Let k = n + -614. What is the smallest value in 0.01, -0.4, 4, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 910 divide 49060830?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose z + 2*c = 15, -4*c + 3*c = -5. Let p(t) = 7*t**3 - 12*t**2 - 17*t - 6. Let q(f) = 3*f**3 - 6*f**2 - 8*f - 3. Let o(x) = z*q(x) - 2*p(x). What is o(7)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -2\/3 in -5, 51, -2, 3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let r be -11 + 24 + 338 + 1. Solve 382 = 6*g + r for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 299785 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 0 + 17. Let b = 16.92 - t. Let s = -0.0800024 - b. What is s rounded to six dps?\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(w) be the first derivative of 5*w + 0*w**2 + 0*w**3 - 3\/2*w**4 + 5. Differentiate y(g) with respect to g.\nAnswer: -18*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -11803 - -31722. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 4777513 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 x, 1 q, and 2 b when four letters picked without replacement from {o: 1, x: 6, d: 2, b: 3, q: 2, k: 1}?\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from duduuuduuuuuuu. What is prob of picking 3 u?\nAnswer: 165\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 2.19 and 1575478.\nAnswer: 3450296.82","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 161035 to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is -76 + 80 + (4 - (24 + -1)) + 3?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let q(r) = -r. Let k be ((-28)\/42)\/((-1)\/(-9)). Let i(n) = -3*n - 1. Determine k*q(y) + i(y).\nAnswer: 3*y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.2510663227 to 3 decimal places.\nAnswer: 0.251","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify g*g**(2\/35)*g**(-8\/5)*(g**1)**(13\/6) assuming g is positive.\nAnswer: g**(341\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 0.0264 + 139.9736. Which is bigger: -0.1 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: -1011101000000101011001 (base 2) to base 10\nAnswer: -3047769","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Put -1, -388, 2, 0, 4 in decreasing order.\nAnswer: 4, 2, 0, -1, -388","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 4 + (-6 + 13 - 12).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 573 is divided by 350.\nAnswer: 223","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -25446 + 25445.999978705. Round x to 5 dps.\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 49795?\nAnswer: 5, 23, 433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let z(o) = o**2 - 6*o + 6. Let v be z(5). Suppose -h - 5*u - 24 + v = 0, 0 = -h - 2*u - 8. Solve 6 = -n + h*s, n + 3*s - 10 = 3*n for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -8 - -4. Let p(b) = -b**3 - 3*b**2 + 6*b. Let j = 2 + -1. Let k(q) = q - 1. Let m(o) = j*p(o) - 3*k(o). Determine m(x).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 508354 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: Express (-1 + 5 - 3)*(-3*x + x + 4*x) - 3 + 3 + x - x + 4 - 4 - x - 1 + 1 + (2 - 2 + 1)*(-x - 2*x + 2*x) - 3*x + 0*x + 7*x as y*x + b and give y.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let j(h) = 13*h + 67. Let q be j(-5). Let l(a) = 24*a - 3. Give l(q).\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 3581 - 4?\nAnswer: 3577","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {a: 1, p: 1, i: 2, r: 1, c: 1, d: 1}. What is prob of sequence ripd?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (4446079 + 8204*a**2 + 2288*a**2 - 4446079)*(0*a**2 + a**2 - 2*a**2 + 1) to the form o*a**2 + m + t*a**4 + y*a**3 + k*a and give o.\nAnswer: 10492","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 40443536 and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 612321482?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -0.08  (b) 1  (c) -6\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -4 + 0. Let x(h) = 250*h**3 + h + 4. Let u be x(w). Round u to the nearest 10000.\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 211178653?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Convert 100 (base 6) to base 16.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let a(l) = -6*l**2 + 35*l + 104. Calculate a(-3).\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:37 AM and 10:56 AM?\nAnswer: 559","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 5 - 11. Let p be 27\/f*(-4)\/6. Suppose x - 1 = o, p*x + 4 = -o - 13. Put -1, x, 4 in ascending order.\nAnswer: x, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 153237 - 1070137\/7. Let q = 32851091 + -4139191531\/126. Let r = q - u. What is the common denominator of -41\/14 and r?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many centimeters are there in 6\/25 of a kilometer?\nAnswer: 24000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 45003112 divided by -11?\nAnswer: -4091192","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 95844?\nAnswer: 2, 3, 7, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let j(o) = 11*o**3 - 3*o**2 + 3*o + 3. Let i(h) = 12*h**3 - 4*h**2 + 4*h + 4. Determine 3*i(p) - 4*j(p).\nAnswer: -8*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 553 minutes before 11:07 AM?\nAnswer: 1:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 0 or 16\/845?\nAnswer: 16\/845","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (7\/(-3) - -2)*3. Let t = 20 + -15. What is the remainder when 18 is divided by t\/(y - 3\/(-2))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*i - 13 + 73 = 0. Let g be (72\/i)\/(-6)*1*5. Let a = 1.83 + 1.17. Which is bigger: a or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*k - 25 = -5*j, 4*k + 4*j - 19 = k for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 107.6 - 107.59289. What is p rounded to 3 decimal places?\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 5923980 rounded to the nearest 10000?\nAnswer: 5920000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Does 43 divide 48332?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {c: 7, v: 4, a: 5}. Give prob of sequence aav.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2*-1*sqrt(2673) - sqrt(2673))\/(sqrt(21)\/(3*sqrt(1008) + sqrt(1008))) + -3.\nAnswer: -1296*sqrt(11) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 2940 and 147.\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 571537?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 48 + -45 + -53 - -13.\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*n - 4 = -q - 0, -5*n = -2*q - 14. Suppose -5*v - 54*v = -0*v - 236. Solve 2*s = v*s + n for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-63*z + 136*z + 94*z)*(2*z + 1 - 1 + z + 2*z - 2*z - 4*z - z + 7*z + 0*z + z + z + (3 - z - 3)*(-1 - 1 + 0) - z + 6*z - 3*z) - 3*z**2 - 207*z + 207*z.\nAnswer: 1834*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 827 a multiple of 56?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 729 + -732. Which is the third biggest value?  (a) 4  (b) v  (c) 2375\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many kilograms are there in 3\/50 of a tonne?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Round 311390 to the nearest 1000.\nAnswer: 311000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 135 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 86*q*t + 425348*q - 212862*t + 57 wrt q?\nAnswer: 86*t + 425348","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let v(o) = o**2 - o - 3. Let n be v(-3). Suppose -3*k - 2*c = -16, -2*k - n = -5*c + 12. Suppose k*r = r - 820000. Round r to the nearest one hundred thousand.\nAnswer: -800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of -25172812, -50345623, -75518434, -100691245, -125864056, -151036867?\n\"Answer: -25172811*w - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.000551967143 to 6 dps.\nAnswer: -0.000552","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*j + 5*p - 8455 = 0, 3*j + 0*j = -p + 6355. List the prime factors of j.\nAnswer: 2, 5, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 13\/(-26) - 1\/(-2). Let i be 5\/6*(-2 + 4 + s). What is the third biggest value in 0.2, i, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: -10*-183\nAnswer: 1830","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 76 is divided by 27.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence kn when two letters picked without replacement from aiacainkncai.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is -26030 divided by -10?\nAnswer: 2603","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 192479, 192963, 193447, 193931, 194415?\nAnswer: 194899","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 21 is divided by -1 + 6 + 0 + 1?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 74048713?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*d + 0*j + j = -24, 0 = -2*d + 4*j + 24. Suppose 4 = 2*y + 4*p, p + 1 - 2 = -2*y. Solve y = 3*t + t - d for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be -7 + 3 + 141 + 3. Let o be (-1)\/(n\/36 - 4). Suppose 229 = -b + o. What is b rounded to the nearest 100?\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 24 divide 101376?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Divide 1880 by -235.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 189623133.\nAnswer: 3, 7, 89, 11273","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-17614)\/(-9) + 38\/(-342). Suppose l = 2*o - 1635, 1278 = 4*o + 5*l - g. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -3?  (a) 2  (b) -0.039  (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let l(a) = 3*a**2 - 7*a + 38. What are the prime factors of l(-11)?\nAnswer: 2, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -13512 - 13513 + 7*j + 27026.\nAnswer: 7*j + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 6.8 - 6.59. Put 1\/2, t, -0.2 in ascending order.\nAnswer: -0.2, t, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*i**3\/11 - 774*i**2\/11 + 99846*i\/11 - 4293378\/11.\nAnswer: 2*(i - 129)**3\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.043228 to two dps.\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (p**(1\/8))**(-10\/7) assuming p is positive.\nAnswer: p**(-5\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Round 426.49 to the nearest 10.\nAnswer: 430","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 7 a factor of 330?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1 in 0.13, -0.3, -3.2, -0.4, -2\/11, -5.22?\nAnswer: 0.13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 21568\/5 + -4314. Sort -2, -0.02, 5, x, -8.\nAnswer: -8, -2, x, -0.02, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is three eighths of a micrometer in nanometers?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let q(h) = -735*h. Let f(r) = 1057*r**2. Calculate q(f(n)).\nAnswer: -776895*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 10 - -2302300?\nAnswer: 2302310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve 73*i = 159 - 13 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 217516536 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: -28281530 divided by 3\nAnswer: -28281530\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Expand 3*o - 6*o - 2*o + (-6 + 4 - 1)*(2 - o - 2) + 4*o + 33 - 33.\nAnswer: 2*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*b - 6 = 10. Suppose -h = 4*m + 4, 0 = 11*h - 6*h + 2*m - 16. Solve -4*v = 4*s, 3*v - 3*s + h = -b*s for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -54\/362219 and 31\/11407.\nAnswer: 22095359","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let i(z) be the first derivative of -19\/5*z**5 + 0*z**2 + 0*z**4 - 64*z + 0*z**3 - 38. Differentiate i(w) with respect to w.\nAnswer: -76*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of 138, 109, 90, 75, 58, 33?\n\"Answer: -a**3 + 11*a**2 - 55*a + 183","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -43386*y**5 + 3*y**3 - 12154*y**2 wrt y?\nAnswer: -2603160*y**2 + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let d(x) = 485*x + 3874. What is d(-8)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 11, 8, 7, 8, 11, 16?\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -6119291221\/3717630 - -2173148\/1323. Let z = -111\/281 - m. Find the common denominator of z and 11\/5.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -13794420 divided by 2299070.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 121255 is divided by 60621.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Divide 2874 by -16.\nAnswer: -1437\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 487466371*b**3 - 5027*b**2 + 2175 wrt b.\nAnswer: 2924798226","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-6*q + 7*q + 4*q - 3)*(4 + q - 3 + 0)*(6 + 3 - 4).\nAnswer: 25*q**2 + 10*q - 15","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify m*m*m\/(m**29*m)*m*m*m**28\/m*m assuming m is positive.\nAnswer: m**3","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 633428?\nAnswer: 2, 158357","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 686046 to the power of 1\/4, to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 1 + 4. Let p be 67\/n + (-10)\/25. Let g = p + -8. What are the prime factors of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(y) = -826*y + 448. What is c(1)?\nAnswer: -378","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 194 minutes before 3:05 PM?\nAnswer: 11:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*k - 424*h + 425*h = 8, -5*k - 17*h = -19 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Express (-10*a - 5*a + 6*a)*(-2*a - a + 4*a + (0*a - 2*a + 4*a)*(-1 + 3 - 4)) in the form l*a**2 + z*a + w and give l.\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 768 is divided by 4\/(-6)*(-3)\/((10\/59)\/10).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -10 + 11. What are the prime factors of 521 - (2 - (1 + f))\/(-1)?\nAnswer: 521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((a*a**1\/a)\/((a*a**(-1))\/a*a))\/(a*a**1*a*a*a**5) assuming a is positive.\nAnswer: a**(-8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Factor 62*i**4 - 29*i**4 + 513*i**2 + 12*i**3 - 3402*i - 36*i**4.\nAnswer: -3*i*(i - 9)**2*(i + 14)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(b) be the first derivative of -106*b**5\/5 - 233*b**2\/2 - 2*b - 77. What is the second derivative of a(r) wrt r?\nAnswer: -1272*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4*k**2 + 3*k**2 - 4*k**2)*(-2 + 2 - 8*k)*(2 - k - 2).\nAnswer: 24*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 1044078 and 77742?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 e, 2 o, and 1 x when four letters picked without replacement from seoxc.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from tmmgkzh. What is prob of picking 2 m?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 10 a factor of 26035536?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 304736?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*b = 2*t + 49, 1774*t + 4*b - 69 = 1773*t for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 0.5  (b) 6\/715  (c) 6  (d) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -d = -3*d. Let w = -1 - d. Let g be -3*(w + -1 + 1). Solve 2*r + 2*t - 3*t = -g, t + 17 = -3*r for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 31\/7 and 77\/6?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (4\/(-44))\/((-2)\/(-4)).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 19.00998 millimeters in meters?\nAnswer: 0.01900998","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (c\/(c**(-8)*c)*c*((c\/c**(3\/4))\/c*c*c)\/c)**(-2\/105)\/(c**(-9\/2)\/c**(-1\/15))**(2\/7) assuming c is positive.\nAnswer: c**(229\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is -5936 minus 0.065813?\nAnswer: -5936.065813","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 1000001 - -100011101011110?\nAnswer: 100011110011111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*s**4 + 60*s**3 - 474*s**2 - 56*s + 5880.\nAnswer: -2*(s - 14)**2*(s - 5)*(s + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -1 - (-5 - (-11 + 2) - 6).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (5*sqrt(20)\/sqrt(4) - (sqrt(5) + sqrt(245)*-1))**2.\nAnswer: 605","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.44 - 1.81?\nAnswer: -1.37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*q - 4*d = -3*q - 11, -5*d + 30 = -2*q. Let y(g) = g - 8. Let n(o) = 2*o - 9. Let w(u) = 2*n(u) - 3*y(u). Determine w(q).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: -13 - -16 - (-11)\/(-4)\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 135 minutes before 1:29 PM?\nAnswer: 11:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -11\/2919 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -16 - -16. Are 0 and a equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(m) = 2*m**2 - 5*m + 3. Let v be x(3). Let r be 56\/21 + 2\/v. Let t(b) = b**2 - b - 1. Let c be t(4). Solve r*g + 23 = -y - 4*y, -3*y = -g + c for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1 divided by 1117?\nAnswer: 1\/1117","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-5*(sqrt(1900) + -2)*-4)**2.\nAnswer: -16000*sqrt(19) + 761600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 199782 is divided by 813.\nAnswer: 597","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 6717 - 6608. Calculate the remainder when 530 is divided by d.\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: 2\/(9*(-116)\/24)*12\/8\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 1222 (base 9) to base 5\nAnswer: 12121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*t**3\/4 + 261*t**2\/2 = 0.\nAnswer: -174, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let z(s) = -s - 11. Let q be (-2 - 15) + -19 + 13. Determine z(q).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {i: 4, o: 2, s: 2, k: 4}. What is prob of picking 2 o?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 29825 - 1?\nAnswer: 29824","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 1, -1\/55, 3\/371?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 52785009 is divided by 13196248?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let 1\/6*z**5 + 1\/2*z**2 - 5\/6*z**3 + 0 + 0*z + 1\/6*z**4 = 0. What is z?\nAnswer: -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -y**4\/4 - 99*y**3\/4 + 53*y**2\/2 + 150*y.\nAnswer: -y*(y - 3)*(y + 2)*(y + 100)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 5*s**2*y**3 - 722*s**2*y**2 + 5*s*y**3 - 2*s + 37*y**3 - y**2 wrt y?\nAnswer: 30*s**2 + 30*s + 222","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let w(k) = -k**3 + 2*k**2 + k. Let i be w(-1). Suppose i*s - 4*s + 2 = 0. Let f be (s + -2 - -4) + 0. Solve -5*d = 4*c - 2*d - 7, -2*d = -f*c + 18 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-56)\/(-21)*4\/8?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 12 (base 7) in base 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-1*(2 - 1))\/(-1). Let k(c) = 5*c**3 + 11*c**2 + 3*c + 4. Let p(y) = -y**3 - y**2 - y + 1. Let o(z) = f*k(z) + 4*p(z). What is the tens digit of o(-6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 1\/8, -2\/3, 15, 5\/304, 2\/7?\nAnswer: 5\/304","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 380 is divided by 78?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*n - 155*n + 3864 = 0. What is the greatest common factor of n and 1896?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 9398088.\nAnswer: 2, 3, 7, 29, 643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 6304647 a multiple of 97?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let x(d) be the third derivative of d**5\/60 - d**4\/8 - d**3\/6 + 4*d**2. Let l(p) be the first derivative of x(p). What is the tens digit of l(7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 3552 + 2220. Is g a multiple of 37?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (6\/(-2) - -2)*3. Let i be -3 + j + 12 + -2. Let w = -1 + 2. Solve -z = w - i for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(d) = 5*d - 95. Let s be p(22). Let h be (17\/51)\/(1\/s). Solve h*w = 2*w + 12 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {z: 4, v: 3, n: 5, j: 2}. What is prob of sequence jz?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"}
{"text":"Question: Let y = -53\/352 + -1\/32. What is the second biggest value in -1, 2\/3, 3, y?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(55) + sqrt(275)\/sqrt(45))\/sqrt(5))**2.\nAnswer: 176\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 23.5 - 24. Let q = 169\/112 - 1\/112. What is the smallest value in -3, i, q?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there in thirty-three tenths of a week?\nAnswer: 33264","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let x(u) = -5*u**2 + 40*u - 58. Determine x(5).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -126 + 628\/5. Suppose 11 = 4*h + 19. What is the nearest to 0.1 in h, -4, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 19\/4 of a millennium in years?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -1 + -2 - 0 - -3?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 1882 - -6214. What is the hundreds digit of u?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 125 a factor of 41072?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -5 + 1 + -1 - ((-10 - -45) + -62)?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 379840 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1 - 2*z - 11178*z**2 - 3936*z**2 - 1 - 1453*z**2.\nAnswer: -16567*z**2 - 2*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -9900851, -9900849, -9900847, -9900845, -9900843?\nAnswer: -9900841","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let h(l) = 101*l**2 - 7*l - 6. Let t be h(4). Suppose -3*z + t = 5*j, -16 = -2*z - 18. List the prime factors of j.\nAnswer: 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 5 - -23?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -10*c**3 - 8*c**3 + 3277 - 31*c**3 + 3*c - 3277.\nAnswer: -49*c**3 + 3*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let i(d) = -80*d**3 - 2*d**2 - 449*d - 1769. Calculate the remainder when i(-4) is divided by 61.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1 = -5*g - l, 4*g + 2 = g + 2*l. Let p = 4 + g. What is the tens digit of (-2)\/(p\/14)*-2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of -214, -229, -244, -259, -274?\n\"Answer: -15*p - 199","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Divide -24 by 87.\nAnswer: -8\/29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1*(-2*3*sqrt(11) - (-2*sqrt(275) - sqrt(275)))**2 + -2*(sqrt(88) + (6*sqrt(88)*1 - sqrt(88)))\/(sqrt(8) + sqrt(64)\/sqrt(32)).\nAnswer: -891 - 8*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (5 + (2*sqrt(343) + 3 - (2*1*sqrt(343) - sqrt(343)) - 3*(0 + sqrt(343) + -1)))**2.\nAnswer: -308*sqrt(7) + 1493","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 14\/(-28)*(5 + -5). Suppose -2*w = -0*w - 1458. Suppose -8*i + w - 265 = m. Does 9 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 143 - 135 - (-2 - (1 - 19))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-8)\/20 - (-532)\/(-20). Let q = f - -21. Which is smaller: q or -4?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 5516 is divided by 1832.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve 156 - 146 = -2*n for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 4 + 12. Calculate the remainder when 31 is divided by d.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 6599860.33 minus 1?\nAnswer: 6599859.33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 2535953872 less than -0.2?\nAnswer: -2535953872.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 0 + (2 - 4) + 0.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*q - 9 = -3*l, -3*q = -40*l + 44*l - 13 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 13868425?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0?  (a) 273  (b) 637  (c) 0  (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let x(m) = -m - 3. Let h be x(7). Is 10 a factor of 8\/(-20) - 254\/h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3*o**2 + 0*o**2 + 4*o**2 + 0*o**2.\nAnswer: o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let s(f) be the first derivative of -5*f**5 - 935*f**4 - 45362*f**3 + 141746*f**2 - 143641*f + 7489. Solve s(m) = 0.\nAnswer: -379\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {t: 2, q: 2}. Give prob of picking 2 q and 1 t.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 1765?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 58\/135 and 11\/90.\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: (-4)\/(-88)*-17*(-192)\/272*-2\nAnswer: -12\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -180 - -3a?\nAnswer: -141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 3 + -4. Let m(k) = -k - 4. Let p be m(-9). Let r be 2\/4*(t + p). Solve -2 - 4 = 4*i + 2*d, 5*i + 12 = r*d for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -11*a - 8 = 14 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 4 in -36425, 0.4, 2, 1\/2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let v(a) = -5*a**2 + 7*a - 9. Let w(d) = d**2 - 2*d - 1. Let y be w(3). Let q(n) = 4 - 3*n + 6*n + 5*n**y - 6*n - 3*n**2. Calculate -7*q(u) - 3*v(u).\nAnswer: u**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 24 + -37. Let s = t - -23. Suppose -y + s = 2. What are the prime factors of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {g: 8, y: 5}. What is prob of sequence yy?\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 21*(233960\/(-29248) + 0 + 8) and 29\/32?\nAnswer: 14624","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -2\/13?  (a) 856395  (b) -0.3  (c) 1  (d) 0.21\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 y and 2 b when three letters picked without replacement from zrzzyzttbytzztzyb.\nAnswer: 3\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve 389*a + 3564 = -7316 - 6236 for a.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let d(q) = q**2 + 5*q + 5. Let z be d(-4). Suppose -11 = j - 4*o, 0*j + 7 = 4*j + o. Differentiate -1 + z + j - 3 + 4*m**2 with respect to m.\nAnswer: 8*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 56252527?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 2100 - -10?\nAnswer: 2110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 10\/(-14) - (-28)\/(-98). Is 1\/25 <= i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(2736) + -3*(sqrt(2736) - (sqrt(2736) + -1 - sqrt(2736) - sqrt(2736))) + (2 + -2*sqrt(2736) - sqrt(2736)))**2 + 3.\nAnswer: 192*sqrt(19) + 175108","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 12071 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -17 - -17. Let p(f) be the third derivative of 0*f**3 + 1\/60*f**5 + 1\/24*f**4 + 0 + 2*f**2 - 1\/210*f**7 + r*f - 1\/120*f**6. Factor p(o).\nAnswer: -o*(o - 1)*(o + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 0.055 - 16.055. Sort p, 22, 0.2 in ascending order.\nAnswer: p, 0.2, 22","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -0.01, 3\/17, 0.2, -73 in decreasing order.\nAnswer: 0.2, 3\/17, -0.01, -73","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -h = b - 397, -b = 2*h + 101 - 495. Suppose -4*z + s + 756 = 0, 11*s - 6*s = -2*z + b. Is z a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -3 - ((6 - 7) + 6) - -12?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 8*(-14 - 903\/(-56)).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 4\/(-14) + 222\/(-7). Let u = f - -87\/2. Let n = u + -12. Which is the second smallest value?  (a) -3  (b) 1  (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-8)\/6*(-27)\/(-18). Let n = 55\/6 - 397\/42. Which is the biggest value?  (a) v  (b) n  (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(p) = -171*p + 15 - 3*p**2 + 12*p**2 + 159*p + p**3. Let j be q(-10). Let r = j - 29. Solve 0*m - r = -d + 2*m, 4*m = -4*d + 12 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (-4)\/(-10) + 740\/25. Suppose -86 = -5*x + x - 5*j, 3*x + 5*j - 62 = 0. Suppose 3*g + g - x = 0. Calculate the highest common factor of g and a.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (0 - -2 - 1) + -1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of (-5)\/(-5) - (-1 + -32)?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be ((-4 + -20)\/(-6))\/((-2)\/(-97)). Suppose 0 = t + 193 - y. Sort t, -2, -9 in ascending order.\nAnswer: -9, -2, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 792970021?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve 17*b + n - 71 = 0, -b + 3*n - 8 = -3 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 18355389 is divided by 1001.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 295 - 101 + 17*f**3 - 194.\nAnswer: 17*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is -7559.3465 rounded to the nearest one hundred?\nAnswer: -7600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1?  (a) 0.5  (b) -0.3  (c) 1.1  (d) 76.077  (e) -4\/5  (f) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when (8\/(160\/1170))\/((-2)\/(-4)) is divided by 32.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-1)\/3 + (-2)\/(-15). What is the third biggest value in q, -2, 0.19?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 2*g**2 - 7411*g + 24001.\nAnswer: 4*g - 7411","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ijjjjjjiijjjji. What is prob of sequence ji?\nAnswer: 20\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let d(m) = 3*m**3 + 155*m**2 - 206*m + 321. Calculate d(-53).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 159 is divided by 40?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in -4\/7, 1, -0.0033, -3, 0.5?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -1\/5038, -14.37, 1?\nAnswer: -1\/5038","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 v and 1 p when two letters picked without replacement from rprrrryrvrrprp?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Express 13 + 3*l**2 - 2*l**2 - l - 5*l**2 - 11 as q*l + p*l**2 + h and give p.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is -2.2650594 + -36308.7?\nAnswer: -36310.9650594","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let m(i) = 4*i**2 + 45*i + 25. Is m(-52) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many nanograms are there in one tenth of a milligram?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 2820 and 24393.\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:31 PM and 4:58 AM?\nAnswer: 507","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (2\/(-3))\/(10*(-6462)\/(-540)). Sort -0.3, -0.4, u in decreasing order.\nAnswer: u, -0.3, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 81 times 1?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-59*q - 51*q + 29 + 106*q + (0 - 2 + 1)*(0 + 2*q + 0) + 3*q - 2*q - 2*q - 3*q + 0*q + 4*q)*(-2*q - q + 7*q)*(0*q**2 + 0*q**2 - q**2).\nAnswer: 24*q**4 - 116*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3 + 3 + 2*m**2)*(1 - 2 + 0)*(-240*m**3 + 81*m**3 - 53*m**3).\nAnswer: 424*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: -1002145 (base 8) to base 6\nAnswer: -5350501","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -15?  (a) -337  (b) 1\/4  (c) 0.05\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of 108, 202, 296, 390, 484, 578?\n\"Answer: 94*i + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 1259*t**3 - 3*t + 33*t**2 + 144*t**2 - 294*t**2 wrt t?\nAnswer: 7554","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 11 + 49 = 10*i. Let a(s) = -320*s**3 + 4*s**2 - 10*s + 36. Let u be a(i). Round u to the nearest 100000.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*w + 24 = -2*o, -w + 4*o + 2 = 10. Let q(i) = -1066 - w*i**2 + 1066. Let t(f) = 2*f**2. What is q(t(p))?\nAnswer: -32*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -14 + 7. Let o be ((-4)\/6)\/((-4)\/(a + -5)). What is the third biggest value in 1\/2, o, -15, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 35207 is divided by 17588.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ll when two letters picked without replacement from lhlllhlhhhhhl.\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 13*c**4*i + 4*c**4 - 688*c**3 - 2*c**2*i + 4*c**2 - 2*c*i + 95*i - 43 wrt c?\nAnswer: 312*c*i + 96*c - 4128","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -61f4 + 60?\nAnswer: -6194","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((o\/(o\/o**(2\/55))*o)\/o**(-1\/13)*(o\/o**(-33))\/((o\/((o**(-1\/15)\/o)\/o))\/o))**11 assuming o is positive.\nAnswer: o**(14177\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let k(r) = -433*r - 528. Calculate k(3).\nAnswer: -1827","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -3*a*i**2*q**3 + 80*a*i**2*q**2 - a*i*q**3 - 2*a*q**2 - i**2*q - 4*i*q**3 + 14*i*q**2 wrt i?\nAnswer: -6*a*q**3 + 160*a*q**2 - 2*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 90703878?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve -229*f - 249*f = 1854 + 2448 for f.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let l(z) = 48*z - 2314. Calculate l(45).\nAnswer: -154","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let h(l) be the third derivative of -l**7\/7560 + l**6\/540 - l**5\/90 - l**4\/8 + l**2. Let d(o) be the second derivative of h(o). Factor d(u).\nAnswer: -(u - 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -q + 4*w = -25, 3*q + 2*w - 20 = 3*w. Suppose 0 = -r - q, -g = -4*g - r - 11. Put g, 2, -3 in ascending order.\nAnswer: -3, g, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 191676?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let l(r) = -r**2. Let f be 2\/13 + 48\/26. Let y(m) = 10*m - 11. Let w(q) = -q + 1. Let d(b) = f*y(b) + 22*w(b). Calculate d(l(j)).\nAnswer: 2*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1302 divided by 434.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let s(h) be the first derivative of -h**4\/4 - 3*h - 6. Find the first derivative of s(p) wrt p.\nAnswer: -3*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(y) be the second derivative of 5*y**3\/6 + y**2\/2 + 2*y. Let z be d(-2). Let l = 19 + z. Is 5 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 1687*m**3 - 1392 wrt m?\nAnswer: 5061*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 5601361 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -3\/167 in -3\/4, 0.01, -119?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -l - 3*l + 8814 = 5*d, 2*l - 5*d - 4422 = 0. Let y(m) = -2*m**2 + 13*m - 1. Let p be y(6). Suppose -5*a + l = -o - 2*o, 2*o + 2209 = p*a. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (3 - 6) + 9\/(18\/200). Suppose 0 = 98*x - z*x. Put 5, -2, -8, x in ascending order.\nAnswer: -8, -2, x, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 10312 (base 4) to base 16.\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 47979900 is divided by 470.\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose g + g = 8. What is the lowest common multiple of (18\/g)\/((-4)\/(-16)) and 2?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 134928 and 28110.\nAnswer: 674640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7 = 2*l + 3*f, -2*l - 2*f + 6 = -2. Suppose -m + 3*i + l = 0, 3*m - 2*m + 5*i - 5 = 0. Suppose -3*a - 91 = -o, -m = a - 3. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-4)\/(3 - -9) + 457\/3. What is the first derivative of d - 880*t**2 - 869*t**2 - 2*t + 1727*t**2 wrt t?\nAnswer: -44*t - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4, 7, -23, -5, 3 in decreasing order.\nAnswer: 7, 3, -4, -5, -23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Factor -29\/4*k + 0 - 7*k**2 + 1\/4*k**3.\nAnswer: k*(k - 29)*(k + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 4163412?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -141 - 7?\nAnswer: -150","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -2\/5, -5, -548?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 288340, 288381, 288422, 288463, 288504, 288545?\nAnswer: 288586","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*m + 27 = m - 2*z, 3*m + 4*z - 37 = 0. Does 5 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 636450971?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Express (3*l - 10*l - 13*l)*(-2*l**2 - 3*l**2 + 7*l**2)*(-1 + 5 - 3) in the form y*l**2 + s + a*l**3 + m*l and give a.\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 1012001 - 101?\nAnswer: 1011200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -84*c**3*m**2 - c**3*m + 6*c**2*m**2 + 13*c*m + 8*m**2 wrt c?\nAnswer: -504*c*m**2 - 6*c*m + 12*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -14211*d*i**2*n - 4*d*i**2 - 46197226*d*i - 3187*d*n wrt n.\nAnswer: -14211*d*i**2 - 3187*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Expand -i**2 + 18 - 17*i + 2*i**2 + 19*i + (2 - 1 - 3)*(-3*i + i**2 + 3*i).\nAnswer: -i**2 + 2*i + 18","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 79\/21160 and -169\/1440?\nAnswer: 761760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 0.13  (b) 4  (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let k(s) = -16*s + 82. What is the units digit of k(-24)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 121333110 + -132?\nAnswer: 121332312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Convert -a914d (base 14) to base 13.\nAnswer: -1142ab","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Express (2 - 1 - 3)*(-7*s + 28 - 28) as f + u*s and give u.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: How many millimeters are there in 0.1313702 nanometers?\nAnswer: 0.0000001313702","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Put 11, -411, 4 in decreasing order.\nAnswer: 11, 4, -411","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 24.44996t in nanograms?\nAnswer: 24449960000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of -2074, -4146, -6210, -8266, -10314, -12354?\n\"Answer: 4*k**2 - 2084*k + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -49*k**6 - 2*k**2 + 3?\nAnswer: -5880*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -2169541 - -4860941. What is m rounded to the nearest one hundred thousand?\nAnswer: 2700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(j) = -17*j**2 + 4*j + 9. Determine u(-3).\nAnswer: -156","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 12107 greater than 12812?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 b and 2 e when three letters picked without replacement from {a: 5, l: 3, e: 2, b: 1, t: 8}.\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: 1 + 0.052\nAnswer: 1.052","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let -2*o**4\/3 - 390*o**3 - 14980*o**2\/3 - 20640*o - 27456 = 0. Calculate o.\nAnswer: -572, -6, -4, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -5.9 + 6.3. Sort 3, 5, n in descending order.\nAnswer: 5, 3, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -3285 - -3280. Let p(k) = k**3 + 7*k**2 + 8*k + 4. Determine p(v).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -136 or 754?\nAnswer: -136","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*t - l - 23 = -6, 4*l = -t - 14. Let y(a) = -2*a**2 + 8*a + 2. Let c be y(t). Let g = -21 - c. Solve 0 = -w + g + 1 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -47961*d**3\/10 + 738687*d**2 - 67454*d\/5 + 308\/5.\nAnswer: -(d - 154)*(219*d - 2)**2\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -399 in 1\/9, -0.3, 0.3, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -111010 - 10100100010?\nAnswer: -10101011100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.7154 rounded to 1 dp?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Expand -2258 - 131*h**4 + 2258 + 4 + 3*h**4 - 4 + (-3*h**2 + 2*h**2 + 3*h**2)*(2*h - 2*h + 2*h**2) + 5*h**4 + 13*h**4 + 54*h**4.\nAnswer: -52*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -382232 or -382215?\nAnswer: -382232","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -95\/6132 and -155\/53436.\nAnswer: 374052","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 4281 is divided by 2134.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ddx when three letters picked without replacement from {d: 19, x: 1}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 76 and 8.\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 16\/(-40)*90\/(-12). Suppose r*l = 0, 20 = k + 4*k - 4*l. Which is the nearest to k?  (a) -35  (b) 1  (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -153345 to the nearest ten thousand.\nAnswer: -150000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Find i, given that 27*i**5\/8 + 75*i**4\/8 - 261*i**3\/8 - 675*i**2\/8 + 81*i\/4 = 0.\nAnswer: -3, 0, 2\/9, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -74*s + 106 + 486 = 0. Let k be ((-6)\/4)\/(3\/(-20)). Solve 8*f = k*f - s for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 1078 and 980?\nAnswer: 10780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 18731149 to the nearest integer?\nAnswer: 266","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Express 2952*o**2 + 3798*o - 27018*o**2 - 3798*o in the form x + v*o**2 + k*o and give v.\nAnswer: -24066","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let i(k) be the first derivative of -k**3\/3 + 5*k**2 + 22*k + 210. Let t be i(12). What is the nearest to t in -0.1, -5, -15\/2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*z + 3*v - 3562, 3*z - 3620 = v - 942. Is z a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 0 - (-2 + -6 + 13).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence vm when two letters picked without replacement from nnlnzvvnlmv?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 185633543 to the power of 1\/2, to the nearest integer?\nAnswer: 13625","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 202628 is divided by 285.\nAnswer: 278","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: 1001000010 (base 2) to base 6\nAnswer: 2402","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 11986259 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 60 is divided by 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: -100101000110001100001 (base 2) to base 12\nAnswer: -4a7569","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose z - 30 = -4*z - 5*m, -z + 16 = -4*m. Suppose -p = -11 + z. What is the first derivative of 3*d**3 + 2*d**3 + 0*d**3 + 12 - 3*d**p wrt d?\nAnswer: 6*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3, -36, -0.075, 0, -4\/7, 1 in descending order.\nAnswer: 1, 0, -0.075, -4\/7, -3, -36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Round -3.22303774 to 3 decimal places.\nAnswer: -3.223","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*m - 1110 = -8*m. Suppose -2*l - m = -w, -4*l + 472 + 184 = 3*w. Suppose 2*u + 54 - w = 0. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(n) = 16748*n + 45. Is y(1) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(p) = -85*p - 17964. Calculate c(-211).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 2*c**2 - 22*c - 4927?\nAnswer: 4*c - 22","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*s + 2*t = -s + 9, s + 6 = t. Let j be ((s - 1) + -2)*-1. What is the units digit of j\/10 + (-1840)\/(-25)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1819729.48 rounded to the nearest one hundred?\nAnswer: -1819700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve 44844*m - z = 44866*m + 29, 3*m - 4 = z for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 720 and 26064.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 101 - 97. Solve v*y - y = 0 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 560336060.\nAnswer: 2, 5, 28016803","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let a(n) = n**2 - 4*n + 4. Let o be a(4). Suppose 25 = o*w - 23. What is the tens digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:53 PM and 2:30 AM?\nAnswer: 277","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (9427\/(-2571))\/(22\/(-18)). Put -35, k, 20, 6 in increasing order.\nAnswer: -35, k, 6, 20","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0.149 + 60949\nAnswer: 60949.149","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -151*m**2 - 15 + 896*m + 15 + 359*m**2 + 245*m**2 wrt m?\nAnswer: 906","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*x - 13*x = -44 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*s = -0*s + 5*o - 1311, -s = o - 329. Suppose s = 2*t + 22. Suppose -x = 5*a - t, -4*a - x = 7 - 132. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((-63)\/((-378)\/20))\/((-4)\/(-6))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let j(p) = -6*p**2 - 49112*p - 735315. Determine j(-15).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 847 and 0.799?\nAnswer: 676.753","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 3142?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let v(o) = -1194*o - 3 + 1190*o + 3. Let s(h) = -22*h. What is v(s(p))?\nAnswer: 88*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: 45 (base 8) to base 4\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 5809257*c + 36631238 with respect to c.\nAnswer: 5809257","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*h**2 - 4664*h - 2719112 = 0 for h.\nAnswer: -1166","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 49 + (96 - (39 - -3)).\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0, 5, -11, -2, -4.\nAnswer: -11, -4, -2, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 257850043?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is -92 times 138300?\nAnswer: -12723600","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:00 PM and 6:09 PM?\nAnswer: 69","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 71 + -99. Let x(z) = 3*z**2 - 3*z + 4. Calculate the smallest common multiple of (b\/(-10))\/((-4)\/(-20)) and x(2).\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify h**(-10)\/h**(-3\/8)*(h*((h**(2\/25)\/h)\/h)\/h*h)**(-8\/9) assuming h is positive.\nAnswer: h**(-15853\/1800)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth smallest value?  (a) 36  (b) 4  (c) -0.15  (d) -2  (e) -0.4  (f) 89\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: -352 times -51479\nAnswer: 18120608","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -46*m = 169 + 61. Let k(f) = -f**3 + 5*f**2 + 3*f + 13. Does 8 divide k(m)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -22, -87, -250, -559, -1062?\nAnswer: -1807","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Divide -32214774 by 1.\nAnswer: -32214774","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let h(n) = -2*n**2 - 59*n + 4. Let s(q) = -q**2 - 63*q + 5. Let k(l) = 5*h(l) - 4*s(l). Let o be k(-6). Sort o, -4, 1, -1\/2 in descending order.\nAnswer: o, 1, -1\/2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(z) be the first derivative of z**4\/12 + 25*z**3\/6 - 7*z**2 - 10. Let g(w) be the second derivative of h(w). Differentiate g(v) wrt v.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-56)\/77)\/8*(6\/6)\/(-1).\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let o(b) = 13*b - 50. Let i be o(13). Let f = i + -122. List the prime factors of (-24)\/(-3) + f + 217.\nAnswer: 2, 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 49787322 - 22927322. Round d to the nearest 1000000.\nAnswer: 27000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 52 divide 10513563?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 4\/15 of a millennium in months?\nAnswer: 3200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: 32 (base 6) to base 10\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 65254 a multiple of 118?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let c(t) = -t + 1. Suppose 0 = -2*z + 5 - 1. Suppose z*m - 3 = -m. Let w be c(m). Solve f - 3 = -w for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 6919.\nAnswer: 11, 17, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 9478 to the nearest integer?\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let j(g) be the third derivative of 17*g**6\/24 - 11*g**3\/2 + 123*g**2. Find the first derivative of j(r) wrt r.\nAnswer: 255*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(u) = -55*u. Let m(o) = -209*o - 185. Give v(m(b)).\nAnswer: 11495*b + 10175","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*i = -r + 4, 0 = 4*r - r - 2*i - 12. Suppose r*w - 2*g = 44 + 10, 12 = 2*w + 4*g. What is the highest common factor of w and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: -0.088 * -757\nAnswer: 66.616","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 1344 + -936. Let i(j) = 4*j**2 - v + 408. Let g(l) = 2*l**2. Give g(i(t)).\nAnswer: 32*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let b(g) = -2*g**3 + 2*g**2 - 3. Let c(t) = -t**3 + t**2 - 1. Let q(f) = -3*b(f) + 5*c(f). Is q(4) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -2*b**2*z**3 - 497*b**2 + 11*b*z**2 + 543*z**6 + 18*z**4 - z**2 - 2*z wrt z?\nAnswer: -12*b**2 + 65160*z**3 + 432*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between -251447 and 1.5?\nAnswer: 251448.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (3*d**2 + 2*d**4 - 3*d**2)*(4 - 9 + 4) - 5*d + d**4 - d**3 + 2*d**3 + 0*d to the form s*d**3 + p*d + t*d**4 + i*d**2 + w and give p.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let b(f) be the third derivative of -f**4\/24 - 5*f**3\/6 - 5*f**2. Let r be b(-5). Solve l = -r + 5 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*m**2 - 33790580*m + 142725412092050.\nAnswer: 2*(m - 8447645)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let m(f) = f**3 - 25*f**2 + 25*f - 9. What are the prime factors of m(25)?\nAnswer: 2, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Total of -151083 and 5.\nAnswer: -151078","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (1 - -32)*(-3 - -4). Suppose c = b - 5*h, 0*h + 2*h - 33 = -b. Calculate the highest common factor of b and 22.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be -1 + -1 + 34\/14. Let x be (-23)\/(-51) - 3\/9. Let p = 227\/3 + -75. Which is the nearest to 0?  (a) l  (b) p  (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: -0.11752414 times -0.5\nAnswer: 0.05876207","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve 74*n + 22*n - 56 = 232 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 42 and 89835.\nAnswer: 1257690","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 0  (b) -2\/5  (c) -10\/21\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -1 - -4. Let q(g) = 1 - 3*g**3 - 7*g**3 - 8*g**b + 2*g - 8*g**3. What is the tens digit of q(-1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/40 of a microgram in nanograms?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9*w - 4*w - 230 = 0. Suppose 0 = -a + 2*y + 6, 2*a + a = -y + w. List the prime factors of a.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is i in i**5\/2 - 1385*i**4 - 202007*i**3\/2 + 420618*i**2 - 426150*i = 0?\nAnswer: -75, 0, 2, 2841","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 266243 is divided by 937?\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -106998*k**2 - 14*k - 6229252 wrt k?\nAnswer: -213996*k - 14","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (l**2 - 8*l + 4*l**2 + 7*l + l)*((-4*l - l + 4*l)*(0 + 1 - 2) + 1 - 1 + 2*l - 4*l + l + l + 10379 + 79*l - 10379).\nAnswer: 400*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 1906074?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*u + 7*s - 9*s + 8, -5*u - 4*s + 7 = 0. Solve u*v = 22 - 28 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((5*sqrt(384)*-2)\/((sqrt(72) + sqrt(72) + sqrt(72) + -1*sqrt(72) + sqrt(72))\/sqrt(6)*-6) + -5)*3)**2.\nAnswer: -200*sqrt(2) + 2825\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"}
{"text":"Question: Is 8 a factor of 632?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 541.446 - -8.254. Round i to the nearest one hundred.\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(17) - (5 + sqrt(68)\/sqrt(4)) - (sqrt(17) - (sqrt(2448) - 1*sqrt(2448))) - (6*1*sqrt(187))\/sqrt(11).\nAnswer: -7*sqrt(17) - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 463 + -72. Calculate the highest common factor of 51 and t.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 415 + 1?\nAnswer: 416","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -11 + 16. Suppose -4*m = -5*y + 38, -5*m = -2*y + y - z. Calculate the greatest common divisor of y and 70.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*v - 745 = 2*j, -3*v + 39*j - 36*j = -447. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*n - 5*a = -10, -3*n - n - a = -2. Let f be (-2)\/(-4)*(n + 4). Solve 7*x - f*x = 5 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 0\/((-117)\/9)*4\/4?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let u(s) = s**2 - 4*s - 13. What is the lowest common multiple of u(-3) and 50?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of 831, 9167, 31789, 75837, 148451?\n\"Answer: 1190*f**3 + 3*f**2 - 3*f - 359","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -x + 65 = 5*j, -4*x - 4*j + 308 = -0*x. Suppose 2*z - 5*q = x, -5*q = 3*z - 8*z + 185. What is the remainder when z is divided by 18?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 721704.9 nanograms to micrograms.\nAnswer: 721.7049","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -9 divided by 5107?\nAnswer: -9\/5107","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Put 0, -1\/2, 2\/7 in decreasing order.\nAnswer: 2\/7, 0, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2607.\nAnswer: 3, 11, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -26  (b) -4\/9  (c) -4.7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -8 + 7. Let z(g) = g**3 - g**2 - 2*g - 1. Let n be z(l). Is n < -2\/17?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 20370 is divided by 5082?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of -3, -9, -17, -27?\n\"Answer: -s**2 - 3*s + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 46220?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 1056749741 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -65451*n**2*q - n**2 - 4507*n - 1 wrt q.\nAnswer: -65451*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 103 - 103 + 54*o**2.\nAnswer: 54*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 519833552 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when (-222)\/(-6)*(12 - 2) is divided by 62.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 17910 and 56130?\nAnswer: 33509610","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (0*x - 3*x + 10*x)*(2 + 0 - 17) to the form y + d*x and give d.\nAnswer: -105","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (h**(9\/8)*h**(3\/11))**(-33) assuming h is positive.\nAnswer: h**(-369\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 46442*r + 195330*r + 24565*r + 53215*r.\nAnswer: 319552*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -425, -369, -313, -257?\nAnswer: -201","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 18 - 5 = 10*y - 17 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*i - 2*f = -f - 117, 4*f + 36 = 2*i. Let t be 6\/(-14) - 16\/i. What is the closest to t in 2, 3, 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1932 is divided by 44.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-16)\/(-10) + (-6)\/(-15). Suppose 3*b = 2*q + 18, -2*b + 5*q = f*b - 31. Is 674\/10 + b\/(-10) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 30785067689 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 0 - -28?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 945731 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -2920 - -2082. Let q = c + 21791\/26. Does -3 = q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*c - c = 2*s - 1703, 3*c - 2*s = 1009. Does 23 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 349 is divided by 60.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 36870.\nAnswer: 2, 3, 5, 1229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 50, 34, 18, 2?\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 13399227601 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Does 4248 divide 5404275864?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1 + 1 + 7008*n**3 - 6983*n**3.\nAnswer: 25*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 15*k + 15*k + 9*k - 53*k - 60 + 15*k.\nAnswer: k - 60","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 638\/5 - 128. Let t be 3\/5 + (-40)\/25. Let z = 3 - t. Sort j, z, 2\/5 in decreasing order.\nAnswer: z, 2\/5, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 1504\/24*(-30)\/(-8). What is the highest common divisor of 5 and b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2145*t - 160 = -3*p - 2141*t, 5*t = 5*p - 280. Let k = 193 - -252. What is the remainder when k is divided by p?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*g - 1 = -17. Let j = -542 - -947. Suppose 12*y = -165 + j. Solve g*x - 5*z = y, -4*z - 2 - 14 = 0 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 3163433321?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*d - 291 = -7*i, -2*i - 7*d + 5*d - 10 = -2*i for i.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 29 - 23. Suppose -j = -9*i + 8*i. Solve 4*n + 6 = i*n for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 21641.\nAnswer: 17, 19, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 2355874 and 4873?\nAnswer: 25914614","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 265 or 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 569094946?\nAnswer: 2, 7, 2699, 15061","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 797.\nAnswer: 797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Express 15*v**2 - 4 + 3 + 15*v**2 + 16*v**2 + 149*v**3 - 48*v**2 in the form u*v + j*v**3 + h*v**2 + d and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 26*x = -9*x + 70. Suppose -2*c = 5*m - 1359, -m = -c - x*m + 675. What is the highest common divisor of c and 84?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 9252 to the power of 1\/3, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: 98.12 * -19850\nAnswer: -1947682","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:14 PM and 5:20 PM?\nAnswer: 246","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 94 - (-27 - -280 - 75).\nAnswer: -84","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence qqtj when four letters picked without replacement from rqjrrjjjjtrrqqjrjjtr.\nAnswer: 4\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*a - a + 5*a + 9)*(-3 + 2 - 1) + (2 - 1 - 2)*(-a + 0*a + 0*a) - 2*a - 3 + 3.\nAnswer: -5*a - 18","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -2199.869 + 2200. Which is the fourth biggest value?  (a) 2\/3  (b) -0.5  (c) 2\/11  (d) j  (e) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {e: 5, r: 3, s: 1, o: 9}. Give prob of sequence reoe.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let n(h) = 14*h + 1. Let g be n(-1). Let x be 0\/(1*(-2 - 0)). Put g, x, -4 in descending order.\nAnswer: x, -4, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(j) = 13*j**2 - 14*j**2 + 1 + 2 - 3*j. Let h be n(-3). Solve -2*w - 4 = -h*f, -f + 9 = w + 1 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((u*(u\/u**(-30))\/u*u)\/u*u**(-31)\/u)\/((u*(u\/(u*u**16\/u))\/u)\/u*u*u\/(u*u**4*u)) assuming u is positive.\nAnswer: u**19","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1*(-27522)\/(-44)*(-8)\/(-6).\nAnswer: 2, 3, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 s when two letters picked without replacement from xllslsllllllldl.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1891 is divided by 13?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -75921554*z**4 + 317*z**2 + 2*z + 1951.\nAnswer: -1822117296*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:23 PM and 2:36 AM?\nAnswer: 373","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (j**(-11)\/j*j**(1\/3))**(17\/5) assuming j is positive.\nAnswer: j**(-119\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 419993 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 7\/(84\/(-16))*(-1791)\/6.\nAnswer: 2, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -1\/13624 greater than or equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*m + 1 + 7 = 0. Suppose 3*g - 21 = -f, 4*g + m*f - 3*f - 21 = 0. Solve 2*z = 8, 7*z - g = 2*w + 3*z for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 5 - 0. Suppose -4*o = 4, n + 2*n = k*o + 197. Suppose 0 = -0*b + b + 5*w + 12, 24 = 2*b - 2*w. Calculate the highest common factor of n and b.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 44827 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 294554503?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 605 and -0.0058.\nAnswer: -3.509","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -24 + 25. Let o be 246\/(-60) - (u + -5). Sort o, 5, 3\/2 in descending order.\nAnswer: 5, 3\/2, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 13\/18  (b) 4  (c) -5  (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 5 + 108*q + 118*q - 214*q.\nAnswer: 12*q + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 10\/((-240)\/(-102))*1\/((-1)\/4).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -891.6 + 892. What is the nearest to -2\/5 in -9, -0.4, -1\/3, c?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 287 + 2*(9 - 5). Let i = w - 220. What is the greatest common factor of 200 and i?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6 = -u - 1, 55 = 5*o + 2*u. Sort 0, -4, -3, o in ascending order.\nAnswer: -4, -3, 0, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 331419 a multiple of 363?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 15*u - 15*u - u**2 + 18*u**2.\nAnswer: 17*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -115\/18 and -43\/1000?\nAnswer: 9000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let l(m) = m. Let j(g) be the third derivative of -1507*g**4\/24 + 235*g**2 - 1. Determine j(l(u)).\nAnswer: -1507*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Convert -403133 (base 6) to base 5.\nAnswer: -2004214","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -78413284*p + 97485042?\nAnswer: -78413284","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -5790*d**2*j*r**2 + 4*d**2*j*r + 7*d**2*r + 215*d*j*r**2 + 88*d*j*r + 3*d*r**2 + 2*d*r - j*r wrt d.\nAnswer: -11580*j*r**2 + 8*j*r + 14*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Are -1\/526945828 and 1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 780834?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 603861 is divided by 201062?\nAnswer: 675","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:48 AM and 6:10 AM?\nAnswer: 322","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 p and 1 f when two letters picked without replacement from pldfdsc?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -4337.589 - -4316. Let a = y + 52.426. Let h = -0.037 + a. Round h to the nearest 10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1 + ((1 + ((sqrt(9) - 1*sqrt(9) - sqrt(9))*6*4)\/(sqrt(27) + (sqrt(324)\/(-1*sqrt(12)) - sqrt(27))))*-2)**2.\nAnswer: 64*sqrt(3) + 773","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 1*3 + 0\/(-34) + 416\/(-160)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Round 63444100 to the nearest one million.\nAnswer: 63000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 173 minutes before 7:50 AM?\nAnswer: 4:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let j(m) = -m**4 + m**3 - 2*m**2 - m - 1. Let x(l) = -32*l**4 + 2*l**3 - 4*l**2 - 2*l + 121. Let v(t) = 2*j(t) - x(t). Differentiate v(a) with respect to a.\nAnswer: 120*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -12 = 4*q + 4. Let h be -2 - (3 + q - 21). Suppose 0 = -r, -w - r + h = -4*r. Does 5 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*a = -9*a + 16. Does 4 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 11.83 - 9.7. Let k = x - 1.943. What is k rounded to two dps?\nAnswer: 0.19","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 v and 1 d when two letters picked without replacement from cvd.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-28)\/30 - (-6 - 168\/(-36)). Let q = -0.5 - -2.5. Let s = q - 1. Which is bigger: x or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of -3, -17, -65, -165, -335, -593?\n\"Answer: -3*z**3 + z**2 + 4*z - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 360 + -351. Which is the nearest to 0?  (a) -2\/9  (b) j  (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 9715 to the nearest integer?\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 24741 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (9\/(18\/4))\/(((-324)\/2)\/9).\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 2241294?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 274745 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve 22*t**2\/13 + 115420*t\/13 + 963792\/13 = 0.\nAnswer: -5238, -92\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of -10934, -10881, -10828, -10775, -10722?\n\"Answer: 53*g - 10987","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 2?  (a) -0.1  (b) -4540\/19  (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let g(w) = -6*w. Let r(t) = -5*t - 13. Let j be r(-3). Let h(s) = -s**2 - 4*s. Let a be h(-3). Let b(d) = -a*d**2 + d**2 - 3*d**2 + 4*d**j. What is g(b(y))?\nAnswer: 6*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 703 minutes after 7:42 PM?\nAnswer: 7:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(320) + -2 + (sqrt(125) - sqrt(125)*2)**2 + sqrt(125).\nAnswer: 13*sqrt(5) + 123","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 4.46096 rounded to two dps?\nAnswer: 4.46","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is b in 12*b**5 - 1617*b**4 + 10479*b**3 - 14235*b**2 + 3441*b + 1920 = 0?\nAnswer: -1\/4, 1, 5, 128","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*z - z = -8. Let n be (0 - 14)*(23\/(-7) + 3). Solve 5*k - 9 = -p, -3*k + z*p - n*p = -4 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.1?  (a) 2\/3  (b) 1  (c) -36\/13  (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 0*c - c + 0*c + 0 + 2*c - 3 + 0 + (0*c - 6*c + 5*c)*(2 + 2 - 3) + c - 1 + 1 to the form o*c + z and give z.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -250*n**3 + 205*n**3 - 405*n**3.\nAnswer: -450*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Does 187 divide 39036811?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2 = 3*h - 17. Factor -21*m**2 + 0*m - h*m - m.\nAnswer: -3*m*(7*m + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3, 1, -83, -7 in decreasing order.\nAnswer: 3, 1, -7, -83","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -75 + 673\/9. Which is the nearest to l?  (a) 2\/9  (b) -0.3  (c) 5\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (598*l**4 + 603*l**4 + 21*l - 1205*l**4)*(-2*l + 3*l - 2*l + (l + l - 3*l)*(-4 + 1 + 1)).\nAnswer: -4*l**5 + 21*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 432 minutes after 8:48 PM?\nAnswer: 4:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3, -1, 0, -2472, -9\/4.\nAnswer: -2472, -3, -9\/4, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let f be -8 - (-48 + (-40)\/(-5)). Let i = 20 + -13. Suppose -i*w = -5*w - f. What is the lowest common multiple of 58 and w?\nAnswer: 464","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 3997152?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let w(t) = 3*t - 1 + 4*t - 2*t. Is 19 a factor of w(4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find u, given that -2*u**3\/25 - 104*u**2\/25 + 106*u\/25 = 0.\nAnswer: -53, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*n = -0*n + 3*u - 18, 5*n = u + 48. List the prime factors of 249 - (n\/6)\/(5\/(-10)).\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 60770763 and 27.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 796 and 19303.\nAnswer: 199","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-2)\/4*(-51 + 51). Which is greater: -6\/175 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 15516740873 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {c: 11, w: 2}. What is prob of picking 2 c?\nAnswer: 55\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 1485\/(-40) + 94\/(-16) + 354\/59?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*h = -3*z - 19, 2*z + 25 = 5*h + 5. Suppose -4*r + 48 = -3*u + 131, -h*r - 4 = 0. Solve j + 2*j - 2*o = 15, -5*j = 3*o - u for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(h) = 2 + 2*h**2 + 91*h - 1 - 92*h - 3. Let d = -5 + 1. Is o(d) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*x + 22 = 2*i + 3*x, 0 = i - x + 3 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 51723 and 1827.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -68c4 - 606?\nAnswer: -6eca","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let z(i) = -4*i**2 + 5*i + 96. Let p(o) = -19184*o. Calculate p(z(q)).\nAnswer: 76736*q**2 - 95920*q - 1841664","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let w(z) = 6*z**2 - 16*z - 10. Let b(y) = 2*y**2 - 5*y - 3. Let x(d) = -d - 9. Let r be x(-7). Let o(u) = r*w(u) + 7*b(u). Give o(-2).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 4.35 + -4.2. Let p = -0.25 + r. Is 1 at most as big as p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 348 a factor of 4416?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*m - 8 = 4*m. Let w be (-1)\/(-1) + m\/(-1). Suppose -3*p = -0 - w. What are the prime factors of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 1 + 121222?\nAnswer: 122000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Put 17, -6, -274 in descending order.\nAnswer: 17, -6, -274","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 1709866 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 273126*i**2 + 6215*i + 14346 wrt i?\nAnswer: 546252","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*p - 1648 = 3*j - 13113, 5*p = -5*j + 19100. List the prime factors of j.\nAnswer: 3821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: -152 (base 7) to base 4\nAnswer: -1112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let v(i) be the third derivative of i**5\/60 + i**4\/6 - i**3\/2 + 395*i**2. What is v(-4)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 14*f**3 + 12 - 8 - 20*f**3 - 4.\nAnswer: -6*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let c(s) = 8*s - 17. Suppose -9 = -2*q + 3. What is the units digit of c(q)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -0.6  (b) 10  (c) 26\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1898.\nAnswer: 2, 13, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 26 + 70. Let u = x + -94.98. Let g = u - 1.0224. Round g to 3 decimal places.\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 55 and 302945?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 6 - (14 + -1 + -1).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 0.0344 + -0.2474. Let t = 0.787 - r. Which is the nearest to t?  (a) 4\/5  (b) -4  (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 9 + 59*y - 140*y + 83*y - 9.\nAnswer: 2*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 301?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -3 + 1582102?\nAnswer: 1582088","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:57 AM and 1:07 PM?\nAnswer: 610","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: ((-20)\/400*-5)\/((-3)\/162)\nAnswer: -27\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let l(k) = -k**3 + 8*k**2 - 3*k. Let h be l(7). Let v = 31 - h. Suppose 5*s - 4*i = 162, -s - 5*i = s - 45. Solve 5*o + s = -v*m, -3*m - 7 = -2*o + 2 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Total of 123392.7465 and -1251.\nAnswer: 122141.7465","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -545 - -765. Calculate the remainder when l is divided by 7.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -95467\/12 + 7949. Calculate the common denominator of o and -49\/492.\nAnswer: 492","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 58 - 54. Suppose 0 = -f*j + 569 + 1083. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -222 + 7?\nAnswer: -217","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of 7630, 14287, 20944, 27601, 34258, 40915?\n\"Answer: 6657*h + 973","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let w(s) = -s**3 + 92*s**2 + 44*s - 667. List the prime factors of w(90).\nAnswer: 101, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 18*(-20)\/(-810)*(-1)\/((-12)\/45)?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*i**2 + 0*i**2 - 2*i**3)*(-i**2 + 2*i**2 - 3*i**2) + 0*i**5 - 4*i**5 + i**5 - 3*i - 40*i**5 + 5*i - 2*i**2 - 3*i.\nAnswer: -39*i**5 - 2*i**2 - i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -44\/9, 0.0221, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {n: 1, l: 14, k: 2}. Give prob of picking 2 k, 1 l, and 1 n.\nAnswer: 1\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -14*a**3 - 102476465*a - 20*a**3 + 102476465*a + 4.\nAnswer: -34*a**3 + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 41949613 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: -2*21\/276*1*2036\/(-3563)\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*z = -46 - 146. Let f be (120\/z)\/((-6)\/8). Solve -2*i = f*u + 16, -2*u + i = u + 3 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of -153749, -153755, -153763, -153773, -153785, -153799, -153815?\n\"Answer: -v**2 - 3*v - 153745","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (94\/22)\/(8\/88). Solve 42*q = y*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 8943 and 33.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 7 or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 12 + -34\/3. Which is the second smallest value?  (a) d  (b) -2  (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.2?  (a) -0.876  (b) 2  (c) -4  (d) -2\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let j(h) = h**3 - 1. Let b = -407 - -410. Let x(c) be the first derivative of b*c - 7\/4*c**4 + 0*c**3 + 6 + 0*c**2. Determine 3*j(u) + x(u).\nAnswer: -4*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 437?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*p - 4*p - 122 = 0. Let t = p + -39. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence lx when two letters picked without replacement from {g: 6, l: 2, x: 1, t: 1, d: 5, q: 2}?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose l + 419 = t, -t = 3*l - l + 844. Let c = l - -425. Calculate the least common multiple of c and 436.\nAnswer: 436","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1*(1 + sqrt(288)).\nAnswer: -12*sqrt(2) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of -419, -435, -401, -293, -87, 241, 715?\n\"Answer: 4*c**3 + c**2 - 47*c - 377","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let g(l) = 2*l**2 - 100*l - 1334. Calculate g(-22).\nAnswer: 1834","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 118 is divided by 21?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-6 + (-4)\/(-24)*46)*(1058\/(-115))\/23. Suppose -3*u - 3*m = 6, 0*u + 12 = 3*u - 3*m. Which is the nearest to v?  (a) 4  (b) -4  (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*k + k + 0*k)*(-2*k - 2*k + k) + 2*k**2 - 2*k**2 + k**2 - 1 + 1 - 2*k**2 + (-4*k + 4*k - k)*(k + 1 - 1).\nAnswer: -5*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -3 - -10082?\nAnswer: 10078","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*m - 2*y - 263 = 0, 106 = 19*m - 21*m - y. Sort 0, 8, m, 2 in decreasing order.\nAnswer: 8, 2, 0, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-6*(-3*sqrt(95) + sqrt(95) - sqrt(95) - sqrt(95)) + sqrt(95) + (5*-5*sqrt(95) - sqrt(95)))\/(sqrt(5)*-4*2 - (sqrt(720) - sqrt(720)*4)))**2.\nAnswer: 19\/784","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -3011 + 33947?\nAnswer: 30936","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 18 and 2295?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -3667 - -5980. What is the hundreds digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 708774 is divided by 958?\nAnswer: 812","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 30\/(-4) + 2\/4. Let v(g) be the third derivative of -g**4\/24 - 5*g**3\/6 - 15*g**2. What is the units digit of v(s)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(k) = -4*k**2 + 6*k. Let n(p) = -p**2 - 3*p - 2. Let b(r) = r**2 + r + 1. Let x(a) = 2*b(a) + n(a). Give w(y) + 6*x(y).\nAnswer: 2*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 6 a factor of 122909?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 111 - 2001?\nAnswer: -1230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.04843229 to two decimal places.\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is -2.278209312 rounded to three decimal places?\nAnswer: -2.278","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let r(s) = -s**3 - 5*s**2 - 4*s - 4. Suppose -2*m - 3*l + 4 = 0, -3*m - 3 - 6 = -3*l. Let j be m - -10 - (-9)\/(-9). Let n = j + -11. Determine r(n).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*f - 4*h = -52, -3*f + 3*h = -2*f - 18. Let s = -8 + f. Suppose -s*q + 120000 = -0*q. Round q to the nearest 10000.\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 0 - -5. Suppose s*w - 3*w = 4. Is (6 + w)*7\/2 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -11*b - 46 = -277. Suppose -u - x - 2 = -0*u, -2*x = -2*u + 12. Does 23 divide 2106\/b - u\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 214*v - 225*v + 3*x - 44 = 0, -7*v = -3*v + 23*x + 16 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -13889*c**6 - 39*c**2 + 3*c + 6?\nAnswer: -1666680*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -74 and -0.3485.\nAnswer: 25.789","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*w = -3*o - 15, 48 - 43 = 5*w for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 5539655?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Does 2297 divide 1021574671?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0?  (a) 7.9  (b) 3\/7  (c) 3  (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: How many nanograms are there in five halves of a microgram?\nAnswer: 2500","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*h - 201 = 2*h + y, y - 67 = -h. Suppose 3*g - 32 = -2*m, -3*m + 4*g + h = -g. What is the remainder when 51 is divided by m?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from grgdv. What is prob of sequence dv?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Convert 24 (base 12) to base 11.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is -83 smaller than -133608\/1609?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 4112531569 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let m(w) = -130 + 43 + 40 + 47 + w. Let y(h) = -133*h**2 - 4*h. Calculate y(m(j)).\nAnswer: -133*j**2 - 4*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Put 460, 2, 5132, -1 in increasing order.\nAnswer: -1, 2, 460, 5132","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let k(c) = -c**2 - 10*c - 11. Calculate k(-13).\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Determine q so that 3\/5*q**2 + 72\/5 - 33\/5*q = 0.\nAnswer: 3, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine i so that -4*i**5\/7 + 132*i**4\/7 + 228*i**3\/7 - 3284*i**2\/7 + 768*i - 2448\/7 = 0.\nAnswer: -6, 1, 3, 34","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Determine t, given that -t**3\/4 - t**2\/2 + 21*t\/4 - 9\/2 = 0.\nAnswer: -6, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Round 229656 to the nearest ten thousand.\nAnswer: 230000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 193370000 rounded to the nearest one million?\nAnswer: 193000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Does 6 divide 756389?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 343 - 343.0393. Round s to 3 dps.\nAnswer: -0.039","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 4.3194 + -4.2194. Let x = 5.6 + -6. Which is the nearest to r?  (a) 0.2  (b) 2\/11  (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -29*f**2 - 10*f - 8?\nAnswer: -58","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*p**2 + 459568*p + 14250452.\nAnswer: -4*(p - 114923)*(p + 31)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -9388, -9334, -9278, -9220?\nAnswer: -9160","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -8 - -11. Suppose 0 = -x*c - c + 116. Suppose 4*n = 11 + c. What are the prime factors of n?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence dede when four letters picked without replacement from dede?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let b(u) = u**3 + 199*u**2 + 617*u + 122770. Calculate b(-199).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Convert 166.9483mm to nanometers.\nAnswer: 166948300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 172, 0.47, 41?\nAnswer: 0.47","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: 3 + (-4 - (1 + -4)) + -3\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 84  (b) 3\/5  (c) 4  (d) 1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 18147.\nAnswer: 3, 23, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 2613818 to the power of 1\/2, to the nearest integer?\nAnswer: 1617","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 8366.232 centuries in months?\nAnswer: 10039478.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 37 + -17. Let d = a + -20.176. Round d to two decimal places.\nAnswer: -0.18","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 1\/4, 823, -0.1?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let q(f) = -3*f**3 - 15*f**2 - 31*f + 4. Let l be ((-180)\/(-72))\/(2\/(-4)). Is q(l) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 2 divide 449?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve 9*l - 9753 + 9672 = 3*d, -31*l - 2*d + 303 = 24 for l.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-11 + 0 + 1)*(2 + 3*p + 4 + 7).\nAnswer: -30*p - 130","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is (-6)\/(-9) + (-102256)\/(-21) + -9 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1656*a = -1653*a + 63, -11*c = -a + 1 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -5 + 1958597?\nAnswer: 1958592","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 20*w**3 - 546536*w + 546536*w.\nAnswer: 20*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: How many nanograms are there in 55\/2 of a microgram?\nAnswer: 27500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 23820733673 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let p be -4 + (2 + -2)\/3. Let r(k) = -8*k - 3. Let t(g) = 40*g + 16. Let d(l) = -14*r(l) - 3*t(l). Is d(p) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(u) = 9*u + 4*u - 5*u. Let z = 35 + -33. Let m(k) = k**z - 4*k**2 + 2*k**2 - k**2. Calculate s(m(n)).\nAnswer: -16*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let l be ((-176)\/55)\/((-1)\/(-5)). Is l\/6*(-636)\/16 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(v) = v**3 + 3*v**2 - 9*v + 3. Determine c(-4).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (v*v*v**2)**(-1\/28) assuming v is positive.\nAnswer: v**(-1\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-4)\/(-6))\/((-8)\/(-24))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 1\/666 or 0?\nAnswer: 1\/666","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is -183940 rounded to the nearest 100000?\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2, -5, -3, 5, 8269, -4, 0.\nAnswer: -5, -4, -3, -2, 0, 5, 8269","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 239439136 or 239439133?\nAnswer: 239439133","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let b(t) = 4 + t**2 + 0 - 3 + t. Let y(x) = -3*x**2 + x + 1. Let k = -781 + 780. Calculate k*y(p) - b(p).\nAnswer: 2*p**2 - 2*p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is five quarters of a litre in millilitres?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand 4 + s - 3 + 0*s + (0 + 0 - 7)*(s + 0*s - 2*s).\nAnswer: 8*s + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: 478*-0.3\nAnswer: -143.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 60*n - 2 + 292*n - 10*n - 254*n + 26*n.\nAnswer: 114*n - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 1254 and 1056?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 31*r**4 - r**2 + r - 118.\nAnswer: 372*r**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2\/7*f**2 - 52\/7*f + 16.\nAnswer: -2*(f - 2)*(f + 28)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.00012642425 rounded to 5 dps?\nAnswer: 0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let i(v) = 3*v + 23. Suppose m + 11 = -t, -2*m - 47 = t - 4*t. Calculate i(m).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1905.37 rounded to the nearest 100?\nAnswer: -1900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -11*k + 14*k + 26*k.\nAnswer: 29*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*l - 3*d - 10 - 9 = 0, -3*d = 2*l + 13 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1.2 in -6\/19, -4, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let k(j) = -1 - 3 + 13 - 13*j + 21*j - 10*j. What is k(9)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence xxj when three letters picked without replacement from {j: 5, x: 2}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*w - 1 - 9 = 0, 5*p + 2*w = -750. Let r = -148 - p. What is the least common multiple of r and 10?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -9, 5, 29, 69, 131, 221, 345, 509?\nAnswer: 719","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*g + 2*k - 25 = 0, 5*g + 3*k = 27 - 7. Let l be (-16)\/2*(-280)\/32. What is the units digit of 40\/g + 20\/l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 125, 197, 139, -115, -631, -1475?\nAnswer: -2713","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-7 - (-56 + 25)) + 0?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -20 + 44. Let w be m\/(-14) + 2\/(-7). List the prime factors of (3\/w)\/((-3)\/18).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 153 + -157. Let c(i) = i**2 + 9*i + 5. What is c(k)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 13*l = -6*l + 2071. Calculate the remainder when 110 is divided by l.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*o = -2*b + 1 - 5, 4*b = 3*o + 36. What is the nearest to -7.7 in 0.4, o, -1\/4, 0.06?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*q - 21 + 1 = 2*a, 5*q = a - 18. Let g(i) = 5*i**2 - 11*i + 16. Let p(l) = -l**2 + 2*l - 3. Give q*g(s) - 22*p(s).\nAnswer: 2*s**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -748893, -748894, -748907, -748938, -748993?\nAnswer: -749078","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Does 13 divide 1495?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-8)\/(-2)*(11 + -10). Suppose -3*d - 692 = -4*z, -1060 = -5*z + w*d - 196. Suppose -f - 4*v + z = 0, -v = -5*f + f + 704. Is 22 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be ((0 - 1)*-2)\/(0 - 13). Sort 0.2, l, 18.7.\nAnswer: l, 0.2, 18.7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-6)\/(-3) + 12*77\/28. Suppose 2*n = -y + 19, 5*y - j = -2*n + 4. Let m(t) = -19*t - 1. What is the remainder when m(-1) is divided by n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5 = 2*r - z, -11*r + 4*z = -21*r + 8*r for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -94*u + 5975 = -981 for u.\nAnswer: 74","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 26*z - 21*z = m - 28, -2*z + 275 = 5*m. Suppose -r - 1 = -12. What is the remainder when m is divided by r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve f = 2, 5*h = 713492*f - 713495*f - 44 for h.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (x**(-12\/7)*x**25*x*((x*x\/((x\/(x**9\/x))\/x)*x*x)\/x)\/(x\/x**8))**(4\/3) assuming x is positive.\nAnswer: x**(1184\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 211 - 2*c**3 + 202 - 13*c - 407 to the form v + u*c + j*c**2 + m*c**3 and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-14)\/(-63)*6*(-1)\/(-20).\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (9 - 0)*3\/(-9). Let i be 7 + 1\/k*-3. Is 9 equal to i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(c) = -7*c**3 - 17*c + 9. Let h(m) be the first derivative of 3*m**4\/4 + 4*m**2 - 4*m - 10. Give -9*h(q) - 4*p(q).\nAnswer: q**3 - 4*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*i + 6 = -3*i. Let x be 1\/((9\/6)\/i). Let p be x\/8 + (-22)\/(-8). Solve -s + p*s = 6 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -o = -5*z + 4, -o - o = 3*z - 5. What is the tens digit of (18 + 16)*z\/1?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 48?  (a) 2\/19  (b) 0.7  (c) 1\/6  (d) -1404  (e) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -7 + 48?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*h + 5*h - 13*h)*(1 - 1 - 2)*(2*h - 2*h + 4*h**2).\nAnswer: 40*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Convert 406775 (base 10) to base 4.\nAnswer: 1203103313","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-24)\/18*42\/(-4). Calculate the greatest common divisor of t and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -a - 12 = 3*a. Let q be -3 - a\/((-6)\/(-674)). Let v = q + -173. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -67 + 17*p + 13*p + 49 - 55*p + 17*p.\nAnswer: -8*p - 18","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(208)*-2 - (-2 + sqrt(208)) - (5 + sqrt(143)\/(sqrt(11)*2 - sqrt(11))))**2.\nAnswer: 78*sqrt(13) + 2206","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 l and 1 n when two letters picked without replacement from {u: 3, n: 1, t: 7, l: 1, h: 4}.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -q + 5*y = -12 - 13, -4*q + 5*y = -40. Factor 0*s**4 + 3 + 5*s - 3*s**2 + 4*s**4 + 3 - 7 - q*s**3.\nAnswer: (s - 1)**2*(s + 1)*(4*s - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(u) = -20*u. Let c(i) = 65*i**2 + 15*i. Let s(h) = -23*h**2 - 5*h. Let n(f) = -6*c(f) - 17*s(f). Calculate n(z(d)).\nAnswer: 400*d**2 + 100*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 44880 is divided by 458?\nAnswer: 454","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let y(z) = z**3 - z**2 + 5*z - 8. Let q be y(2). Let d be ((-408)\/66 + q)\/11. Is d != -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -15 + 50. Does 16 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 140973*m + 67083 wrt m.\nAnswer: 140973","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let k(o) be the third derivative of o**5\/60 - 5*o**4\/8 + 13*o**3\/3 - 905*o**2. Factor k(r).\nAnswer: (r - 13)*(r - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -203480.803 + 203394. What is m rounded to 0 decimal places?\nAnswer: -87","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-20)\/(-6) + (-1)\/3. Solve o - 5 + 15 = -5*t, q*o + t = 12 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 121 - -22?\nAnswer: 220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let y(p) be the first derivative of -p**2\/2 + 2. Let m(h) = -520 + 6*h**2 + 520. What is m(y(o))?\nAnswer: 6*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 78\/(-8) - 6\/(-8). Suppose 4*n + 1 = 4*l + 5, -5*l - 4*n + 22 = 0. List the prime factors of l\/(-9) + (-92)\/a.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -39*z = -127682 - 188998. Is z a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -37b0 (base 13) to base 10.\nAnswer: -7917","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let x(q) = -q**3 + 7*q**2 - 7*q + 4. Let b(n) = -n + 15. Let m be -4 - (-13 + 1 + -1). Let a be b(m). Calculate x(a).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1047987313 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*k - 6 = -4*k. Which is the biggest value?  (a) -2  (b) 1  (c) -28\/5  (d) k\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(t) = 22*t - 14. Let r be b(6). Let a = r + -116. Solve m = -m + 3*f + 6, f = a*m - 2 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 232203 and 261?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 3\/4 in -5, 49\/3, -2, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4 = -5*r - 21, 5*x + r = 20. Differentiate -1 - 3*d + 3*d**3 - x + 3*d wrt d.\nAnswer: 9*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -4.16 - 0.74. Let i = y - -0.9. Let p = 3 + i. What is the third smallest value in 3, -5, p?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1037041 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Sort -8, 2, -3, 5, 1\/3, -88, -432 in increasing order.\nAnswer: -432, -88, -8, -3, 1\/3, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Expand -46*c**4 + 83*c**4 - 62*c**4 + (25*c**4 - 22*c**4 - 35*c**4)*(1 - 1 - 1)*(1 - 2 - 1 + (-1 + 0 + 0)*(-4 - 3 + 4)).\nAnswer: 7*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from aaaxtax. What is prob of picking 2 x and 1 a?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 37.204 - 37. Let q = 0.14 - m. What is q rounded to two decimal places?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 21\/4 of a litre?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let w(j) = 3*j + 15. Let n(x) be the first derivative of 0*x + 0*x**2 - 1\/3*x**3 - 120. Calculate n(w(u)).\nAnswer: -9*u**2 - 90*u - 225","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10*s + 18 + 2 = 0. Let u be 91\/(-21) - (-2 + s). Let z be (-1)\/(-2) + (-14)\/(-4). Sort u, z, -1\/2.\nAnswer: -1\/2, u, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -6*d + 6*d**2 - d + 7*d.\nAnswer: 6*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 3\/5422  (b) -5  (c) 271\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let h(a) = -19*a**2 + 32. Let s(x) = -8. Determine -h(y) - 2*s(y).\nAnswer: 19*y**2 - 16","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 572020?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 363129212 to the power of 1\/4, to the nearest integer?\nAnswer: 138","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(42) + sqrt(42)*-5)\/sqrt(6)*-1.\nAnswer: 4*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (5 - 13 - (-13 + 2)) + (6 - 1).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -2  (b) 9172  (c) 3  (d) 1  (e) -5  (f) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"}
{"text":"Question: Let s(t) = 21*t + 2. Let j(u) = -2*u. Give -2*j(f) - s(f).\nAnswer: -17*f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.1 in 1\/15, -4, 1\/7, -2\/7?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*z = 2*y - 9 + 38, 0 = 4*z + 20. Let f be (-1 + 4)*((-12)\/(-9) - 2). Let v be y - f\/(-2) - (-1650)\/549. Do v and 0 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(b) = -6*b**2 + 5*b - 1. Let k be v(2). Let j = 17 + k. Suppose -4*c + 92 = j*o + 2*o, -4*c - 28 = -o. Calculate the greatest common divisor of o and 216.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -2\/11 or 1.02?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 20 = 33*w + 9*w - 106. Suppose -o - 6 = -33. Suppose 6*j - w*j - o = 0. Is 4 <= j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 360 and 33348950?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 99 and 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -51\/8983 and 9\/130.\nAnswer: 89830","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -3 + 5. Let i be ((-21)\/(-35))\/(c\/20). Differentiate q - i + 0 + q wrt q.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -n**3 - 1772*n**2 - 1780*n**2 + 3552*n**2.\nAnswer: -n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 905675.\nAnswer: 5, 17, 2131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-85)\/(-2) + (-65)\/(-130). What is the third derivative of 42*p + f*p - 119*p + 34*p - 60*p**2 - 105*p**4 + 3 wrt p?\nAnswer: -2520*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(121) - (sqrt(121) - ((sqrt(121) - (sqrt(121) - (sqrt(121) + sqrt(121)*-1*-6))) + sqrt(121))))\/((sqrt(528)\/sqrt(12))\/sqrt(4)).\nAnswer: 8*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {k: 2, d: 2, w: 4, a: 5}. Give prob of picking 1 k, 1 w, and 2 d.\nAnswer: 8\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Add together 0.5 and 34621161.\nAnswer: 34621161.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 8832\/(-99360)*15\/6.\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 319 + 100. Let d = 427 - x. Solve -d*u - 4*u = -12 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express ((-p**2 + 3*p**2 - 3*p**2)*(3 + 1 - 5) + 463*p**2 - 643*p**2 + 3375*p**2)*(-16*p + 8 - 8) as v*p**2 + m + l*p + b*p**3 and give b.\nAnswer: -51136","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let v(r) = -r**3 + 11*r**2 - 15*r + 52. Let n be v(10). Suppose c - 3*c = -2. Suppose 33 = n*h + c. What is the remainder when 59 is divided by h?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 17868 to the nearest integer?\nAnswer: 134","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 2577477?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 821388775?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 979172055?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5 + ((sqrt(1331)*-2 - sqrt(1331)) + -5)**2 - (-2 + (-2*sqrt(1331) - sqrt(1331))*-2).\nAnswer: 264*sqrt(11) + 12011","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 53153904 and 14208?\nAnswer: 1776","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -34 - -22. Let r = g - -17. Sort -3, 1, r in decreasing order.\nAnswer: r, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(g) = -5*g**2 - 3*g + 8. Let f(b) = b**2 + b - 1. Determine -a(r) - 6*f(r).\nAnswer: -r**2 - 3*r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -7 - (36 + 5 + -38 + 13).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let f(l) = -2*l**3 - 2*l**2 - 36*l - 72. Calculate f(-2).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 1450275\/72 + (-2)\/4*2. Let c = -20146 + z. What is the common denominator of -89\/36 and c?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-10)\/((-110)\/(-11)))\/(2\/4).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let g(d) = 28*d. Calculate the remainder when g(1) is divided by ((-6)\/4)\/(9\/(-768)*8).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -20 - -20. Which is the closest to l?  (a) 5  (b) 0.4  (c) -17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -11 = -k - 3*u, -58*u + 28*u - 37 = -7*k - 31*u for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {c: 3, b: 13, v: 1}. Give prob of sequence vcv.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (3\/(-6))\/(155\/(-10)). Suppose 10*q - 1 = 9*q. Let x be q\/(10\/(-6) - (-2)\/3). Which is greater: o or x?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -8078 != -8076?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify z**2*z**24*z*z**(-3\/13)\/((z\/(z*z**(2\/25)\/z))\/z) assuming z is positive.\nAnswer: z**(8726\/325)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Express -14*r**2 - 8601 + 4295 + 4261 as v*r + t + d*r**2 and give d.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let t(f) = -2*f**2 - 9*f + 19. Let o be t(-6). Let v be 2\/(-4) - (-1)\/2. Let x be 1\/3*v - 5. Sort -3, o, x in descending order.\nAnswer: o, -3, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*j = 3*v + 145, -j - 138 = -5*j - 2*v. Let d = j - 29. Is (1\/4)\/(d\/636) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 d when two letters picked without replacement from wddddddw.\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 5471 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2 + 3 + 3 - i)*(4*i + 3*i + i).\nAnswer: -8*i**2 + 32*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let w(a) = -102*a**2 - a - 2. Let v be w(-1). Let l = 220 - v. What is the hundreds digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-1)\/(-3) + (-154)\/(-42). What is the first derivative of -i - 6 - 2*i - 1 - v*i wrt i?\nAnswer: -7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-16 + (-849)\/(-54))*9\/(-10).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 43*l - 6249 = -853 + 4021. Calculate the lowest common multiple of 438 and l.\nAnswer: 438","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of 102252, 204504, 306756, 409008?\n\"Answer: 102252*n","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -1.2 - 2.8. Let j = 7 - 10. Let z = -210 - -211. Which is the closest to 1\/5?  (a) z  (b) h  (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*o, -o - 60 = -4*f + 2*o. Suppose -8*l + 27 = -5*l. Let u = 24 - l. Are u and f non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of 5031, 10053, 15085, 20133, 25203, 30301?\n\"Answer: v**3 - v**2 + 5018*v + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Convert -10870 (base 9) to base 16.\nAnswer: -1c68","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -822.8808 + 823. Round b to 2 dps.\nAnswer: 0.12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -0.0564 or 0.222?\nAnswer: 0.222","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2 + (sqrt(7) + (2*sqrt(21))\/sqrt(3) - sqrt(7)) + -4 - -4*(sqrt(77) - (sqrt(77) - (sqrt(77) - 5*sqrt(77)*-2)))\/sqrt(11).\nAnswer: -6 + 46*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1\/2?  (a) -7  (b) 2  (c) -1\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2, -5, -385, 8 in increasing order.\nAnswer: -385, -5, -2, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is -40 rounded to the nearest integer?\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -33a983 + -38?\nAnswer: -33a9bb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (4 - 2)\/(-1*8\/4). What is the remainder when ((-17)\/(-4) - y)\/(24\/128) is divided by 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (((-6)\/3)\/2)\/(-1). Let i(c) = -4*c**3 + c**2 - 1. Let r be i(x). Let n be -4*(2\/r - -1). Is n less than or equal to -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.1164527 to three dps.\nAnswer: -0.116","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: How many hours are there in 974106.9 weeks?\nAnswer: 163649959.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 1226324 and 2.\nAnswer: 1226324","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -2 - (5 + (2 + -4 - 10)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Work out -51692550420 - 0.1.\nAnswer: -51692550420.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let n(w) = -w. Let r(z) be the second derivative of 0*z**4 + 0 + 2*z**2 + 9*z - 7\/30*z**5 + 0*z**3. Let c(j) be the first derivative of r(j). What is n(c(y))?\nAnswer: 14*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -1 + 1.1. Let o = -5.2 + 4.2. Which is the closest to o?  (a) -3  (b) -2\/13  (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of -698, -1392, -2092, -2804, -3534, -4288, -5072?\n\"Answer: -s**3 + 3*s**2 - 696*s - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 4086 + 1146. What is the units digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 304 - 428. Let m = s + 134. Solve 6*t + 4 = m*t for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 8466711 to the power of 1\/3, to the nearest integer?\nAnswer: 204","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*g = 8, -4*r + 3*r - 5 = 2*g. Let a(v) = -2*v - 2. Let y(n) = n + 1. Give r*a(h) + 7*y(h).\nAnswer: h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 2*-242*2302\/(-12661)?\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 3196\/376*246\/51?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -331268 or -331274?\nAnswer: -331274","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth biggest value in 0.03056, 0, 43, -2, 0.4, -0.2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Divide -10650 by 10650.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 11766364?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((2*sqrt(70) + sqrt(70))*-5 - -5*sqrt(70)*2)\/((-1*sqrt(120))\/sqrt(12) + sqrt(20)\/(sqrt(8) + sqrt(2))).\nAnswer: 15*sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 105\/(-126)*(-76)\/(-20) + 4.\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 1993934?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2*(-1)\/(-4)*18\/17640*56.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*a = 27*a - 186. Solve -f - f = -a for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 38*l - 3 + 12 = s + 39*l, 5*l = 8*s - 20 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 172 a factor of 5356732?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -13 + -2. Let i = c - -31. What is the tens digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 515\/40 - (-154)\/(-176).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"}
{"text":"Question: -0.5982 times -6716\nAnswer: 4017.5112","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -12 - -18. What is the first derivative of 24 - 14 + 19*i + n wrt i?\nAnswer: 19","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 3214.5873 to the nearest ten.\nAnswer: 3210","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*z = -1594*w + 1595*w - 13, 2*w - 2*z = 2 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -34\/385 and 4\/875.\nAnswer: 9625","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((y*y**9*y*y)\/y**(-7))**48*((y*y\/((((y*y*y**(-3\/11)*y)\/y)\/y*y)\/y*y))\/(y\/(y\/(y*y*y\/(y**(-1\/24)\/y)*y*y))))**(9\/4) assuming y is positive.\nAnswer: y**(316455\/352)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Round 1323152600 to the nearest one million.\nAnswer: 1323000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence eppp when four letters picked without replacement from geppgpgpeppppgpg?\nAnswer: 3\/130","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 14\/(3\/((-12)\/8)). Let g = 16 + r. Calculate the highest common factor of 6 and g.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 5648987 (base 10) in base 3?\nAnswer: 101121222221202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 835*r - 861*r = -3483246. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 473 a factor of 263028116?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 8\/(-28) - (718\/(-14) + -1). Calculate the greatest common factor of b and 26.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be ((-3)\/6 - 4)*-2. Let g(r) = 1 - n*r + 9*r**2 - 8*r**2 + 5. Give g(7).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:04 AM and 9:00 AM?\nAnswer: 236","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 1.5776 + -1.65. Let r = w - -0.104. What is r rounded to 3 decimal places?\nAnswer: 0.032","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of -704958, -704955, -704940, -704907, -704850, -704763?\n\"Answer: y**3 - 4*y - 704955","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Convert -34 (base 7) to base 14.\nAnswer: -1b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 10 - 4 - 22 - -6 - -5.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1038*w**3 - 1 + 4138*w**3 - 5*w + 2*w.\nAnswer: 5176*w**3 - 3*w - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let j(l) = -l**2 + 2 + 0*l**2 - 30*l**3 - l + 20*l**3. List the prime factors of j(-2).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from mvmmqssmm. Give prob of sequence sqv.\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 71*f + 3270609 = -3*c + 68*f, -4*c - 4360785 = -5*f. What is c rounded to the nearest ten thousand?\nAnswer: -1090000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*q + 49965 = 3*n, n + 66620 = 4*q - 2*n. Suppose -9*f - q = -118004. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*g = 4*g. Let s be (5 - 5)\/(g + -2). Solve -2*v + s*v = 10 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*w - 11 = -3*u, -3*u - 1 = 2*w - 0*w for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let r(l) = -4 - 5*l + l**2 + 0*l + 3*l. Let v be r(4). Let y be (2\/v)\/(1\/6). Calculate the greatest common divisor of y and 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3.88 + -34262054.48.\nAnswer: -34262050.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is seven eighths of a week in minutes?\nAnswer: 8820","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let s(x) = -x. Let c be s(-2). Suppose -8*r = -9*r + c. Let f = 11 - r. Is f a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 670937 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3187 = -20*u + 12967. What is the tens digit of u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(x) = -32*x**3 - 31*x**2 + 21*x + 28. Let r be h(-8). Is r not equal to 14261?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-12)\/1*7\/(-28). What is the second derivative of -6*j - 5*j - 4*j - 24*j**k + 5*j wrt j?\nAnswer: -144*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 25 in 4, -6, -9, -0.2?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.2853373 rounded to one dp?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 3996946 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let t(x) = 11*x - 2. Let n be t(-2). Let v(k) = -9*k - 8. Let r be v(-8). Let z = n + r. Does 17 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/40 of a second in milliseconds?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let w(c) = -c**3 - 3*c**2 + c + 3. Let k be w(-3). Suppose k = -2*z + 4*f - 2, -z + 3*f - 9 = -2*z. What is the third smallest value in z, -4, -7?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 517821322?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let r(z) = -z**3 - 7*z**2 + 127*z + 978. Determine r(-9).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -273, -536, -797, -1056, -1313, -1568, -1821?\nAnswer: -2072","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -221 - -275. Calculate the lowest common multiple of 12 and d.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -2 (base 6) in base 8?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 525308521?\nAnswer: 7523, 69827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Put -2364, 5, 1, -6 in increasing order.\nAnswer: -2364, -6, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let y(g) = -8*g. Let z(x) = -43*x - 2. Determine y(z(h)).\nAnswer: 344*h + 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*c - 12 = 0, -4*c + 55 = 72*j - 71*j. What is the remainder when 1058 is divided by j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 6331?\nAnswer: 13, 487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-23 - 19 - 81)*(0 + 0 + 2 + (5 - 5 + 4)*(-1 + 1 - 4))*(s - 2*s - s).\nAnswer: -3444*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 10785098 is divided by 9010.\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is (-15)\/((-150)\/320)*8\/(-16)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -40*j + 589069 + 1411579 = 153648. What are the prime factors of j?\nAnswer: 5, 1847","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 12.8 - 13. Let x = 8.4 - 8. Which is the nearest to g?  (a) 0.5  (b) x  (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-6)\/(6090\/(-175) + 42 + -7).\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 258*g + 8 = 260*g. Let z(t) = 8*t**2 - 4*t + 3. Let k(b) = -b**2 + b + 1. Let c(x) = 2*k(x) + z(x). What is the tens digit of c(g)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*w - 2*f + 446, -128*f + 331 = 3*w - 130*f. Calculate the remainder when w is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -2.596263 rounded to two decimal places?\nAnswer: -2.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*j - 5 = -6*j. Suppose j*h - 7*h - 2*c = -660, 2*h + 4*c - 660 = 0. What is h rounded to the nearest 100?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 558622788 is divided by 62?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*g = 3*g + 9*g - 225. Calculate the remainder when 275 is divided by g.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 380*b - 317*b = 630 for b.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 43 + -41. Let p = -190 + 188.91. Let t = p - -1.2. Put v, -3, t in descending order.\nAnswer: v, t, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-4 - (-85)\/15) + 30\/(-18). Sort 8, -0.2, 2, p in descending order.\nAnswer: 8, 2, p, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 32205.25 kilometers in micrometers?\nAnswer: 32205250000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2*(sqrt(13) - (-2*sqrt(26))\/sqrt(2) - sqrt(13))**2.\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Divide -1 by -4247431.\nAnswer: 1\/4247431","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 999180527?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 1205237 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 96 and 96?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 105469 and 1.7.\nAnswer: 179297.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 155593120 and 11600?\nAnswer: 2320","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.56 times 611.5?\nAnswer: -342.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is (-42)\/7 + 4\/((-24)\/54) + 6?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 101 + 102121?\nAnswer: 102222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -1 or 801\/10?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let m(q) = 5*q**2 - 32*q + 44. Let a be m(7). Which is greater: 69 or a?\nAnswer: 69","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3072689 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 8*h - 364 - 147 + 31 for h.\nAnswer: 60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 16133521 is divided by 25?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1\/3, -16, 0, -10\/11 in increasing order.\nAnswer: -16, -10\/11, 0, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Express -1 + 6*y**3 - 8*y**3 - y**2 + 5 as t*y**2 + q*y**3 + v*y + p and give t.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -194161, -388307, -582441, -776557, -970649, -1164711, -1358737?\nAnswer: -1552721","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*q - 80 + 479 = 0. Let i(b) = -3*b + 54. Let g be i(-20). Let z be 539\/(-231)*g\/(-14). Calculate the greatest common factor of z and q.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-3)\/(-15) + 28\/10. Suppose 2*y - 2*m + t - 11 = 0, 5*m - 12 = -3*y. Does 4 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-8)\/(-6)*(-3)\/(-2). Let k = -0.024 - 2.976. Let g = k - 2. Which is the closest to q?  (a) 4  (b) 1\/2  (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -89*h + 48*h - 3*y = -46*h - 86, 26 = h + y for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -104, -94, -84, -74, -64?\nAnswer: -54","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 45\/2 of a millimeter in micrometers?\nAnswer: 22500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -55\/1944 and -107\/264.\nAnswer: 21384","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 0.957018 - -0.042982. Let x = 29\/8 - 7\/2. What is the nearest to 0.1 in -1, d, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 223 or 224?\nAnswer: 223","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 40 and 201830?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 172 minutes after 5:39 PM?\nAnswer: 8:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 8607697?\nAnswer: 7, 43, 28597","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -17*t - 5*y + 145 = -12*t, 0 = -2*t + 4*y + 46. What is the remainder when t is divided by 11?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (4 - (2 - 0)) + -16. Let u = 20 + d. Suppose -256 = -2*r + 2*m, -2*r - 507 = -u*r - m. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -8*u + 0 - 6 + 6.\nAnswer: -8*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 m when two letters picked without replacement from iyioittmmyyiyy.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -8 and 408578.78.\nAnswer: -3268630.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 4.010904km in micrometers?\nAnswer: 4010904000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.000013255831534 to seven decimal places.\nAnswer: 0.0000133","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 128128 and 23296?\nAnswer: 256256","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -4  (b) 0.3  (c) 5  (d) -0.6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-27)\/60 + 1\/5. Suppose 2*q + 0*q = 12. Let z be (q + -5)\/(10\/4). Which is the biggest value?  (a) t  (b) -2  (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1 + 25\/(-24) - 84\/(-504).\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((7 - 6)\/1)\/(-1)*6\/39?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*m = 13 - 53. Let w(l) = l. Let j(c) = c**2 - 6*c + 13. Let t(h) = j(h) - 5*w(h). Let r be t(m). Let i(a) = -a**2 + 2*a + 2. What is i(r)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*i - 32 + 8. Let g be ((-6)\/(-2))\/(i\/28). Let m be (-4)\/(-14) + 4\/g. Sort -5, m, 3 in descending order.\nAnswer: 3, m, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 233824134*q**2 - 196496631*q wrt q?\nAnswer: 467648268","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -108*j = 3*l - 103*j + 22, -39 = 4*l - 3*j for l.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 6982?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 63 + -25. Calculate the remainder when -55*(-78)\/1144*(20 - 4 - -4) is divided by v.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -336 = 3*g + 2*t, 2*g - 2*t = -86 - 138. Let n = g - -639. What is the tens digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 551.749 - 1.349. Let z = f - 3014.4. Let p = -2464.01007 - z. Round p to three dps.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.04 less than -0.0642?\nAnswer: -0.1042","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 5\/2 + 33\/22. Suppose 2*o = -w*j + 496 + 232, 2*j - 376 = 5*o. Suppose -j = -5*n - 58. What is the remainder when n is divided by 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 195375 - 1367621\/7. Let v(b) = -b + 7. Let y be v(5). Let -18\/7 + 48\/7*g - s*g**5 - 44\/7*g**3 - 8\/7*g**y + 26\/7*g**4 = 0. What is g?\nAnswer: -1, 1\/2, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -6*f + 5*d + 44 = 0, 3*f - 23*d - 101 + 291 = 82 + 89 for f.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 295.816 + 0.184. Let t = o - 295.999799. What is t rounded to 5 decimal places?\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(90)\/(sqrt(2) + sqrt(16)\/sqrt(8) + sqrt(2))*-5.\nAnswer: -5*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let z(u) = u**2. Let o(l) = -145*l**2 - 10. Determine o(z(c)).\nAnswer: -145*c**4 - 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 641511?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (1 + -6)*(-4)\/4. Let s(x) = -5 - x**2 + 2 + 8*x + 5 + 5. Let z be s(c). Calculate the greatest common factor of z and 242.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*k - 99*y + 2 = -97*y, 3*k + 5*y = -9. Let f(w) be the first derivative of -17\/40*w**4 - 3\/20*w**k - 1\/10*w + 28 + 1\/2*w**3 + 3\/25*w**5. Factor f(c).\nAnswer: (c - 1)**3*(6*c + 1)\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sum 0.9003 and 214958.203.\nAnswer: 214959.1033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-60)\/(-451) - 2\/(-41). Put -0.1, -2, 0.09, l in decreasing order.\nAnswer: l, 0.09, -0.1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 35910 and 38826?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -47*a + 57 = -37. Solve -209*x + a = -207*x for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -7 - -10. Suppose -390 = -c*u - 3*u. Suppose -10*w - 15 = -u. What is the greatest common divisor of 10 and w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(a) = -31*a + 5. Let f be (-5 + (5 - 1))\/(2\/4). Let n(d) = -14*d + 2. Let i(h) = f*c(h) + 5*n(h). Let r(q) = 5*q. Give i(r(g)).\nAnswer: -40*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is -179 + 1.5428?\nAnswer: -177.4572","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 44*k - 179984 + 37028. List the prime factors of k.\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -3 divided by 11788068.\nAnswer: -1\/3929356","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 3*q - 4*j + 22519 - 22501, -30 = 5*q + 2*j for q.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let r(h) = 10*h**4 + 450*h**3 - 1510*h**2 + 2520*h - 1385. Let j(a) = -a**4 - 50*a**3 + 168*a**2 - 280*a + 154. Let m(p) = -55*j(p) - 6*r(p). Factor m(t).\nAnswer: -5*(t - 4)*(t - 2)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3*sqrt(19)*-6 + 2 - (sqrt(475) + -2 - (-1 + sqrt(19))*4)**2.\nAnswer: -21 + 14*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: 121233232 (base 4) to base 15\nAnswer: 213a4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let j(q) = -10*q + 234. Let m be j(23). Suppose -1516 = -2*y + m*z + 1668, -3*z = 2*y - 3163. List the prime factors of y.\nAnswer: 2, 13, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*z + 3*f + 1 + 0 = 0, 2*f - 6 = 0 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:16 AM and 7:13 AM?\nAnswer: 237","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve -8153*s + 300544 + 115259 = 0 for s.\nAnswer: 51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-32)\/14 + 2 + (-918)\/119. Find the common denominator of (5 - (-216)\/(-30))*30\/d and 25\/34.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(s) = -s - 4. Give z(-4).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 6929 and 41?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 130?\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {t: 1, k: 1, w: 1, z: 2}. What is prob of sequence kw?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 b and 2 t when three letters picked without replacement from {t: 6, m: 1, b: 1, f: 1}.\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -69, -77, -97, -135, -197, -289, -417?\nAnswer: -587","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Determine d so that -2*d**2\/19 + 1722*d\/19 - 60976\/19 = 0.\nAnswer: 37, 824","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*l - 614 - 62 = 0. Let c be (-1 - 706)\/(-1) + 2. Let s = c - l. What is s rounded to the nearest one hundred?\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -36.102 + 0.1.\nAnswer: -36.002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose w = i - 8, 0*i + 2 = -i. Let y = w + 15. Let t(k) = k**3 + 9*k**2 + 7*k + 2. Calculate the lowest common multiple of y and t(-8).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0*x = x + 6*d + 17, -2*d = 5*x + 57 for x.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 9445 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -637, -979, -1327, -1681?\nAnswer: -2041","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 26626.012 rounded to the nearest one hundred?\nAnswer: 26600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -11*a = -10*a - 5. Let m(d) = -5*d**2 + 10*d - 4. Let c(z) = -14*z**2 + 29*z - 11. Let l(q) = 4*c(q) - 11*m(q). List the prime factors of l(a).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*t - 4*v = -13 - 51, 4*v + 20 = 0. Suppose -i - 8 = 2*y - 0, -4*i + 4*y + t = 0. Sort i, 4, 3, -4 in decreasing order.\nAnswer: 4, 3, i, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 21111 + -21054. Solve 59*c = j*c - 8 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -113 + 113.2. Let g be (-2)\/5 - 6\/10. Let x be 2 + (g - 11\/9). Which is the biggest value?  (a) 5  (b) x  (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 413313 - -302311?\nAnswer: 1221124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -0.76  (b) 5  (c) 1\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*j - 11192*p = -11194*p - 28, -4*j - 4*p + 4 = 0 for j.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Express 30*x**2 - 338*x**2 - 198*x**2 - 48*x**2 - 266*x**2 in the form u*x + r*x**2 + t and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 183*w = 181*w + 8. Suppose 2*p - 8 = -a, 3*p = -4*a - 2 + 9. Solve 4*z + 3 = -3*d, d - p*z - w = 5*d for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 58*s - 30*s = -32*s. Let r(c) = c**2 + 5. Determine r(s).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 z and 2 c when three letters picked without replacement from {d: 2, x: 2, z: 1, c: 6, r: 3, w: 6}.\nAnswer: 1\/76","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -55*v + 55*v + 438261*v**2.\nAnswer: 438261*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 8 - 5. Suppose -d - 26 = 5*z, -2 = -5*z - 3*d - 30. Sort z, 5, u in ascending order.\nAnswer: z, u, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/50 of a meter in micrometers?\nAnswer: 60000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*g = -8*g. Solve g = 2*o - 2 - 4 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 10*m + 62*t + 121 = 63*t, 44 = -4*m - 4*t for m.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Divide 9504475 by 1900895.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let x(i) = 7*i + 9. Let q(k) = -7*k - 10. Let y(l) = 6*q(l) + 7*x(l). Let m(w) = -3*w**3 - w**2. Let z be m(-1). What is the tens digit of y(z)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 5682\/280 + (-6)\/15. Let q = 79\/4 - d. Suppose 8*i + 151 - 143 = 0. What is the biggest value in 2\/5, q, i?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(k) be the third derivative of -k**6\/40 - 3*k**5\/20 - k**4\/4 - 7*k**2. Let y(u) = 0. What is u?\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 4281 and 19408627.\nAnswer: 1427","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Find v, given that -v**2 - 3622388*v - 3280423705636 = 0.\nAnswer: -1811194","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -25 = -3*a - 19. Let v be (-2 + (3 - 2))*-1. Solve v = 3*m + 2*u, -2*u = -3*m + a*u - 11 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 2 + (-7 - -6 - -4). What is the third biggest value in 0.7, -4\/5, u?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 208 - 203. Suppose 0 = -d*f + 290 - 140. Sort -3, f, 0, 4.\nAnswer: -3, 0, 4, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of 71028489, 71028491, 71028493, 71028495?\n\"Answer: 2*b + 71028487","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let u(n) = -2*n. Let p(m) = m**2 - m. Suppose -4*o + s + 2*s + 3 = 0, 3*o + 3 = 4*s. What is the remainder when u(-5) is divided by p(o)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 192 and 2837568.\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of o**3*u + 2023*o**3 - 14*o**2*u**2 + 20*o**2*u wrt u.\nAnswer: o**3 - 28*o**2*u + 20*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -315 + 457. Let c = -141.6 + m. What is the third smallest value in c, 0.5, 0, 4?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 314 + -203. Let a = b - 47. List the prime factors of a.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*b = -4 - 8. Suppose -2*a - k + 1 = -4, 3*a - b*k = 30. Suppose -w - a*q + 2 = 0, -2*w + 0*w + 34 = -5*q. Solve -3*f = -0*f + w for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 1577, 1568, 1555, 1538, 1517?\nAnswer: 1492","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let z(t) = -5*t - 10. Suppose -2*f - 10 = -3*y, -f - 45 = 2*f + 3*y. List the prime factors of z(f).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 325 divided by 65.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {p: 1, j: 9, q: 1, f: 1}. What is prob of sequence jf?\nAnswer: 3\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*r = r - 20, 3*y - 11 = r. What is the smallest common multiple of 9 and y?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*i + 2 - 4 = 2*g, -5*g + 45 = -5*i. Let p(j) = 9*j - 9. Let m be p(g). Let v be -3*1\/(m\/10). What is the second biggest value in -2\/3, v, 1\/7?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 646409547*t**2 - 159809329 wrt t.\nAnswer: 1292819094*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -32 + 34. Let b(g) = -3 + 7 - g**t + g**3 + 8*g + 9*g**2. Let a be b(-7). Which is smaller: a or -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(w) be the third derivative of -w**6\/240 - 41*w**5\/60 - 1001*w**4\/48 - 833*w**3\/3 - 1522*w**2. Solve z(u) = 0.\nAnswer: -68, -7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -213114 divided by -213114?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Convert 126786.2ml to litres.\nAnswer: 126.7862","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let r(z) = 21*z - 2. Let o be r(-3). Let q be ((-26)\/o)\/((-7)\/5). Let t be (-2)\/18 + 2\/(-9). What is the nearest to q in t, -1\/9, -3\/4?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 0\/((5 + 1)\/(-3)). Suppose -j = -p*j - 2. Let x(d) = -2202 - 2*d**2 + 739 + 730 + 734. Calculate x(j).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -16*m**5 + 7*m**2 + 8 wrt m.\nAnswer: -960*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let c(m) = m + 26. Let r be c(-24). Suppose 0*q = r*q - 596. Let z = -188 + q. What is the units digit of z?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {t: 2, f: 2, w: 2, j: 2}. What is prob of picking 1 f, 2 t, and 1 w?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from fdddlfzuuf. Give prob of picking 2 f.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*f + 9 = 3*a, -2*f + 4*a - 18 = 6. Let u(y) = 1046*y**2 + 5*y + 3. Is u(f) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -6 + 6. Let v(i) = i + 6. Determine v(h).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 6554813 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 83*q - 7*q**2 + 8*q**2 + 60*q**3 + 9*q**3.\nAnswer: 69*q**3 + q**2 + 83*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {a: 2, d: 1, k: 1, r: 3, s: 5}. What is prob of picking 1 d and 1 a?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 3480 divided by -120?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*r + y = 831, -1257 = -3*r + 174*y - 177*y. Calculate the highest common factor of r and 36.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from humhhhuuuummuhuu. What is prob of picking 3 m?\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let j(d) = -4*d. Let u(m) = 105 + 102 + 101 - 306 - 3*m. Determine u(j(v)).\nAnswer: 12*v + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-45)\/2*(-8)\/10. Let g be ((-36)\/(-72))\/(6\/(-24)). Sort n, -6, g in increasing order.\nAnswer: -6, g, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (2\/5)\/((-2)\/(-160)). Let q = 15 - 9. What is the units digit of (z\/(-6))\/((-2)\/q)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (199*r - 313*r - 492*r)*(-4 - 5 + 3).\nAnswer: 3636*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 233?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is (2 - (1 - (6 - 8))) + 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 2*m*v**4 + 201*m*v**3 - 693*m with respect to v.\nAnswer: 8*m*v**3 + 603*m*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: -0.5868 + 38.4\nAnswer: 37.8132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let z(h) = -2*h**2 + 7*h - 11. Let a be z(6). Let c = 43 + a. Suppose c*i - 63 = i. What is the units digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: 2223660 (base 11) to base 2\nAnswer: 1110110111111110011011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 1002 - 974. Solve -11*x - 38 = f for x.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of 397, 428, 485, 580, 725, 932?\n\"Answer: 2*k**3 + k**2 + 14*k + 380","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let r(u) = -201 + 20*u**2 - 5*u + 392 - 208. Let c(s) = 7*s**2 - 2*s - 6. What is 11*c(n) - 4*r(n)?\nAnswer: -3*n**2 - 2*n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-16)\/((-1152)\/603)*1*32*(-5)\/(-20).\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of -198240, -198169, -198098, -198027?\n\"Answer: 71*w - 198311","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 83456.\nAnswer: 2, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 59927 and 343.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -3225253415 + -22?\nAnswer: -3225253441","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Express -2 + 5*s**3 + 5*s**3 - 3*s**3 - 4*s**3 as u*s**2 + y + d*s**3 + j*s and give d.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 51 minutes after 11:13 PM?\nAnswer: 12:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Divide 12796391 by -1.\nAnswer: -12796391","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let s(r) = -4*r**2 + 157*r + 17. What are the prime factors of s(32)?\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(s) be the third derivative of -11569*s**6\/120 - 235*s**5\/12 - 4008*s**2. What is the third derivative of w(d) wrt d?\nAnswer: -69414","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(r) = -r**2 + 13*r + 1. Let i be u(13). Is 2\/17 < i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 1, -1, -5, -22, 0 in increasing order.\nAnswer: -22, -5, -1, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 13691 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: ((-24)\/(-4))\/(((-17)\/4)\/(-11*25\/(-1100)))\nAnswer: -6\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 u and 1 w when two letters picked without replacement from {w: 1, f: 1, u: 1}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: 3 + -3 + 3 - (9 + -2)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 1265\/(-25) + (-2 - -1). Let l = 52 + u. What is the nearest to l in 0, 0.3, -0.5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(w) = -3*w + 24. Let u be s(7). Suppose 4*x - u*v = 3*x + 189, v = 2*x - 383. What is the units digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-1)\/(-3) - 123\/(-9). Suppose -2*o + 12 = 4*w - 8, 0 = w + 5*o - v. Put w, -1, 1, -22 in descending order.\nAnswer: w, 1, -1, -22","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(y) = 4*y**5 + y**4 + y**3 + y**2. Let v(r) = -25*r**5 - 25*r**4 + 100*r**3 - 25*r**2 - 140*r. Let n(f) = -v(f) - 5*x(f). Determine h, given that n(h) = 0.\nAnswer: -7, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 1 + -18b049?\nAnswer: -18b048","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 485 minutes after 12:07 AM?\nAnswer: 8:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -80, -120, -160, -200, -240?\nAnswer: -280","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 6 less than 15.565?\nAnswer: 9.565","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 112*q*v**3 + 2*q*v**2 + q*v - 69*q wrt v.\nAnswer: 672*q*v + 4*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: 200871 (base 9) to base 13\nAnswer: 42103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let u(r) = -r**3 + 4*r**2 + 2*r - 3. Let t(p) = -2*p**3 - 37*p**2 - 16*p + 38. Let s be t(-18). Suppose 5*q + d - s*d - 12 = 0, 0 = q - d - 4. Give u(q).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 1.451654 - 1.4396. Round y to three dps.\nAnswer: 0.012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1 - 3\/((-12)\/1888) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 536245*x + 545232 with respect to x.\nAnswer: 536245","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-3 - -2)\/(-1 + 2) - -3. Let c be -4 - -5 - (-17 - (-1 + n)). Calculate the greatest common divisor of c and 57.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -457 and 34.2?\nAnswer: -15629.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (v**(-4)*(v\/(v**(-4)\/v))\/v*v)\/((v\/v**(3\/5)*v)\/(v*v**(-2)))*(v**(-2\/3)*v)**(-1\/28)\/(v**(3\/5)\/v**7) assuming v is positive.\nAnswer: v**(503\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*h - 6*f = -32, -250*h - 2*f + 29 = -117*h - 128*h for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: -135 (base 6) to base 9\nAnswer: -65","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -25*p - 810 = -335. Let w be 42\/420 - 9*p\/(-10). Which is the nearest to 2\/5?  (a) 1\/2  (b) 2  (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 5426982443 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Product of -3 and 17080.\nAnswer: -51240","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is three tenths of a milligram in micrograms?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -48 = 4*p - 212. What is the units digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(q) = -2*q**2 - 23*q + 26. Let a = -2740 + 2728. Calculate i(a).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 289*l - 96*l - 13 - 2*l**2 - 99*l - 94*l.\nAnswer: -2*l**2 - 13","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (0 - 1) + 0 + (8 - (-3 - 1)).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 b, 1 v, and 1 d when three letters picked without replacement from ddvddndbnbnddnddbn?\nAnswer: 9\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -1027 - 36?\nAnswer: -1065","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4 + 29 = 5*m - l, -3*m - 2*l + 2 = 0. Let u(f) = -14 - m*f - 13 + 2 + 2. Let y be u(-6). Solve 2*n - 1 = y for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(g) = 16*g**2 - 51*g + 33. Let u(d) = -25*d**2 + 77*d - 51. Let l(c) = 8*q(c) + 5*u(c). Calculate l(7).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Are 421 and 3 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2 + sqrt(153) + -1*sqrt(153) + sqrt(153) + 3 + 1*sqrt(153)*2)**2.\nAnswer: 18*sqrt(17) + 1378","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1011 is divided by 479?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let c(a) = a**2 - 5*a - 12. Suppose 5*d - 3*m - 71 = -6, m = -4*d + 35. What is the remainder when c(d) is divided by 20?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(p) = -4*p**3 + 21*p**2 + 44*p - 22. Let l(v) = -11*v - 51*v**2 + 46*v**2 + 2*v**3 - 3*v**3 + 6 + 2*v**3. Let w(k) = -26*l(k) - 6*m(k). Factor w(o).\nAnswer: -2*(o - 4)*(o - 1)*(o + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -2*l*t*z**3 + l*t*z + 226*l + 4*t*z**3 + 6*t*z**2 - 153*z**3 wrt l.\nAnswer: -2*t*z**3 + t*z + 226","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: How many milliseconds are there in 5.553066 days?\nAnswer: 479784902.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 21394506 to the nearest integer?\nAnswer: 278","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 2952\/21 - (18\/7 - 2) a multiple of 34?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when -2*((-3465)\/10 + -20) is divided by 67?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {w: 7, f: 3}. Give prob of picking 4 w.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1 - 124*x**3 - 2 - 136*x**3 + 17*x**3.\nAnswer: -243*x**3 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Express 10 - 18*n**2 - 5 - 5 as l*n + w*n**2 + r and give w.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let x(c) = -46*c**4 + 42*c**3 + 6*c**2 + 46*c + 18. Let n(o) = -2*o**4 + 2*o**3 + 2*o + 1. Let s(p) = 44*n(p) - 2*x(p). What is i in s(i) = 0?\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -0.09 + 5.09. Let w = 4.8 - f. Sort w, -0.4, 1.\nAnswer: -0.4, w, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*j - 23 - 1. Let p(c) be the second derivative of -2\/15*c**j - 3\/5*c**5 - 1\/2*c**2 - c**3 + 0 - 2*c - 13\/12*c**4. Factor p(g).\nAnswer: -(g + 1)**2*(2*g + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 12.439 + 0.561. What is the biggest value in 1\/9, v, -2\/9?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 52*r = 48*r + 20. Let c = 14\/15 + -2\/15. Factor -2\/5*k**r + 4\/5*k**2 - 2\/5 - 2\/5*k + c*k**3 - 2\/5*k**4.\nAnswer: -2*(k - 1)**2*(k + 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -1 + 2. Suppose -4 = h + d. Let s = 0 - -3. What is the third biggest value in -0.2, s, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -11988339 or -11988353?\nAnswer: -11988339","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 1984 and 1443856.\nAnswer: 496","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Does 802988 = 802990?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -17 - 70\/(-44 + 42).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1*sqrt(567) + 4)**2*-2 + (2*sqrt(1008))\/sqrt(9) + -4.\nAnswer: -1170 - 136*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -194 - -30. Let g be 2 + l\/(-24)*5. Let b = 71\/6 - g. Calculate the common denominator of b and -33\/25.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (4*1*sqrt(272) + (sqrt(272) - (-1*sqrt(272) + -1 - sqrt(272) - sqrt(272))) + sqrt(272) + 5)**2.\nAnswer: 432*sqrt(17) + 22068","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 48\/287 - 1\/41. Let k = -38.28 + 38. Let t = k + 9.28. What is the third biggest value in t, x, 3\/5?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 24868562.5 to the nearest one million.\nAnswer: 25000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 57\/11 - (-4)\/(-22). Find the second derivative of 4*w - 3*w**v + w**5 - w wrt w.\nAnswer: -40*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -10*m + 3*m**2 + 3 - 2*m**2 - 3.\nAnswer: m**2 - 10*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 31 + -15. Suppose n - 51 = -t. List the prime factors of n.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 330614 - -133?\nAnswer: 330747","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 1340042 - 205?\nAnswer: 1335433","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 3*f**4 + 6537467*f**3 + 4*f**2 + 87448755*f + 2 wrt f?\nAnswer: 36*f**2 + 39224802*f + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let x(m) = m**3 + 3*m**2 - 14*m - 5. Let r be x(-6). Let w = -3 - r. Let g(o) = -o**2 + o + 16. Calculate the smallest common multiple of w and g(0).\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3 + 3 - a)*((2 + 1 - 1)*(0 + 3*a**3 + 0) + a**3 + a - a).\nAnswer: -7*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -3*-1794882.1.\nAnswer: 5384646.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -67 + 84. Suppose 0 = 3*h - 14 + z. Let c be 4\/h + (9 - 5 - -5). Solve -12 = k - c*k for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 j when three letters picked without replacement from eeeeeeejeeejjeeeje?\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 11442116317 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 1058 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 244920761 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-1380)\/30)\/(3\/(-2)*4\/3).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let i(t) be the second derivative of -t**6\/150 + 4*t**5\/25 - 8*t**4\/5 + 128*t**3\/15 - 128*t**2\/5 + 16*t. Factor i(z).\nAnswer: -(z - 4)**4\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -3.1 * -0.06.\nAnswer: 0.186","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 11655.\nAnswer: 3, 5, 7, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Factor t**3\/6 + 1865*t**2\/6 - 1871*t.\nAnswer: t*(t - 6)*(t + 1871)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -3258 + 3260.153. What is j rounded to 1 decimal place?\nAnswer: 2.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -4 (base 10) in base 15?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 4 + 3046?\nAnswer: 3052","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let p(n) = -64*n - 256. Let s be p(-4). Suppose -2\/9*q**2 + s*q + 4\/9*q**3 + 0 = 0. What is q?\nAnswer: 0, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 22 + -9. Suppose -5*f = 12 + q. Let m be 27\/f - (-16)\/40. Is m less than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(o) = -9*o + 163. Determine t(18).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -t = 31 + 11. Find the common denominator of -62\/3 and (27\/8 - 3)*t.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sum -10864734123 and -3.\nAnswer: -10864734126","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is -0.1 > -107796\/973?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 10455 - ((-4)\/(-2) + 3 + -6 + 3) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(s) = -2*s**3 + 2*s**3 + 6*s + s**3 + s**2 - 12. Let d(q) = 147*q - 8374. Let z be d(57). Is 28 a factor of f(z)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 234816146?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 1.6 + -1.98. Let j = 0.03 + 0.25. Let p = j + v. Which is smaller: p or -2\/15?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 137297591447 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2 = -a + 5. Let i = 5 - a. Let d = 4 - 3. Put d, i, 4 in descending order.\nAnswer: 4, d, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 37 is divided by 72\/7 - 6\/21.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ta when two letters picked without replacement from {n: 2, f: 1, t: 2, a: 1, u: 3, b: 3}?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Express 2*g - g**2 + 12 - 3590*g**3 + 3600*g**3 + 8 as o*g**3 + h*g + s + n*g**2 and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let s(b) = -45*b - 7. Suppose -142*d = -141*d + 3. Does 16 divide s(d)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(o) = 3*o + 7. Calculate the remainder when q(2) is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 40 - 34 = 2*g. Let h(y) = -13 - 2*y + g*y + 11. Give h(5).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 8013 is divided by 246.\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 1\/(-5)*150\/40 - 216\/(-192)?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of 4232, 8581, 12884, 17117, 21256?\n\"Answer: -4*u**3 + u**2 + 4374*u - 139","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Factor -481636*d**2 - 24265016*d - 305620324.\nAnswer: -4*(347*d + 8741)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from dppprydrrdz. Give prob of sequence yrd.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 73 + 53 + (-31 - 203)?\nAnswer: -108","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: (-2)\/(-4)*(-22)\/(-11)*2\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*c + 0*c + 4*c)*(-33*c + 16*c + 1 + 5*c).\nAnswer: -24*c**2 + 2*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 580 + 15. List the prime factors of 849 - ((-70)\/z + (-87)\/(-17)).\nAnswer: 2, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many decades are there in 29380.305 months?\nAnswer: 244.835875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 1807, 5233, 8663, 12097?\nAnswer: 15535","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let p(d) = d**3 + 3*d**2 - 7*d - 6. Calculate the least common multiple of 16 and p(-4).\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2352120 rounded to the nearest one hundred thousand?\nAnswer: 2400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-3 + (-1 + -2 + sqrt(704))*-5 + 2 + 5)**2.\nAnswer: -1520*sqrt(11) + 17961","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 21747 a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 27 + 27. Suppose -f = -5*a + 8*a. What is the tens digit of 4\/(96\/a) - (-1062)\/8?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -5551232\/105 or -52868?\nAnswer: -5551232\/105","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: -0.3+-0.000302272115\nAnswer: -0.300302272115","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -3 + 5. Let l = -11 - -16. Let v be 2\/l - (-16)\/(-140). What is the closest to -0.1 in v, r, -1?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (99\/66)\/((-2)\/(-1404)). Calculate the highest common factor of t and 81.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many kilograms are there in thirty-four fifths of a tonne?\nAnswer: 6800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Divide -226 by -2.\nAnswer: 113","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is (-12)\/14 + 1144\/1155?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-156)\/(-360)*6 + (-12)\/(-8)*(-46)\/(-69). Suppose -24\/5 - d*j - 3\/5*j**2 = 0. What is j?\nAnswer: -4, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -349191\/11 + 31745. Let o(s) be the second derivative of 1\/66*s**4 + 4\/33*s**3 + h*s**2 - 39*s + 0. Let o(r) = 0. What is r?\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 41748, 41765, 41808, 41889, 42020, 42213, 42480?\nAnswer: 42833","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let y(a) = -a - 6. Let u(x) = -7*x - 30. Let b(j) = -j - 1. Let o(s) = -3*b(s) + u(s). Let n(d) = 4*o(d) - 18*y(d). Let h(q) = -75*q**2. Determine h(n(i)).\nAnswer: -300*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Expand -7*r**4 - 9*r**4 + 5*r**4 + (-2*r**2 + 0 + 0)*(3*r**2 + 3*r**2 - 3*r**2) + r + r**4 - r.\nAnswer: -16*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of 584, 941, 1298?\n\"Answer: 357*q + 227","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: How many decades are there in 97108.26 years?\nAnswer: 9710.826","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*x - 706 = x. Let y = -9883\/28 + x. Let z = y + -2\/7. Which is the closest to z?  (a) 3\/5  (b) -1\/2  (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 280 and 200.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 2\/185 - -551\/370. Which is the closest to 5?  (a) -7\/3  (b) q  (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (y**(-2)*y)**(-50)\/(y\/y**(2\/9)*y**5) assuming y is positive.\nAnswer: y**(398\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Round -14530 to the nearest one hundred.\nAnswer: -14500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -1 or 6\/1123?\nAnswer: 6\/1123","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -44 - 5*a**2 - 36 - 40 - 39 + 150 - 4*a to the form z*a**2 + g + m*a and give g.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 7020 and 13065.\nAnswer: 195","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-608)\/(-38) + 40\/(-4). Solve l*p = -p - 21 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -20190 or -20227?\nAnswer: -20227","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 21864?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: -24 - (42 - 49 - 6)\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -6129\/7 - -871. What is the common denominator of h and 52\/9?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(u) = 4*u**2 + 2*u + 7. Let z = -4 - -6. Let q(v) = v**2 - 6*v + 2. Let w be q(6). Let g(p) = z*p**2 + 3*p - w*p + 0*p + 4. Determine 7*g(r) - 4*j(r).\nAnswer: -2*r**2 - r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*l**3 - 3*l**3 - 2*l**3)*(-2*l**2 - 5*l + 5*l) + (2864*l**2 + 2449*l**2 - 978*l**2)*(-2*l**3 - 2*l**3 + 7*l**3).\nAnswer: 13009*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Round -11481.083 to zero dps.\nAnswer: -11481","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let g(l) = 17*l**2 + 1. Let i be g(-1). Suppose 4*n = 5*o + 329, -n + 59 = 2*o - 20. Let q = -57 + n. Calculate the highest common divisor of q and i.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -3*t**6 - 52195*t**3 + 6*t**2 - 1205*t - 2.\nAnswer: -360*t**3 - 313170","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let p(z) = 6*z. Let l(w) be the third derivative of -w**5\/30 - 5*w**2. What is l(p(n))?\nAnswer: -72*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let h(x) = -16*x - 106. What is the remainder when 269 is divided by h(-10)?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 162 and ((-12)\/9)\/((-18)\/2187)?\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 123 + -85. List the prime factors of n.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (x*x**7)\/(x*(x**(2\/11)*x)\/x)*(x**(-1\/3))**(-4)*(((x**(1\/3)*x)\/x)**(2\/9))**38 assuming x is positive.\nAnswer: x**(3257\/297)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is (40\/12 - 384\/126) + (-3)\/(3150\/20)?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 71, 28, -23, -82?\nAnswer: -149","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 309 minutes after 1:55 PM?\nAnswer: 7:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 410 - 2?\nAnswer: 408","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 62789\/69 - 910. Let v = p + -133\/345. Let m = 87\/7 - 12. What is the second smallest value in -3, m, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -32*r + 87 = 3*u - 37*r, 4*r = 4*u - 116. What is the remainder when u is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 122094 and 399?\nAnswer: 122094","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:20 PM and 10:59 PM?\nAnswer: 459","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -24 + 33. Suppose -o - 7*s + 27 = -t*s, 2*o - 24 = -2*s. What is the remainder when 82 is divided by o?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 57 - 57. Suppose o = 3*u + 2*u - 15. Suppose -3*n - 4*i = i - 1571, 2*n - u*i - 1022 = 0. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -1182 + 1185. Solve p*m + 5 = -4*v, 7 = -m + 8 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 1897, 1903, 1921, 1957, 2017?\nAnswer: 2107","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1129488.\nAnswer: 2, 3, 23531","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1254 is divided by 43.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of -14342866, -28685731, -43028596?\n\"Answer: -14342865*k - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 14 - 8. Suppose 5*m = u*m - 6. Suppose -24 = -4*w - 4. Solve w*v + m = -9 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -7*v - 15*v + 24*v - 6*v.\nAnswer: -4*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {y: 2, d: 1, h: 1, f: 2, a: 1, v: 1}. What is prob of sequence yah?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 168 - 53 - 115 - 65*s.\nAnswer: -65*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let u(b) = 5*b - 8. Suppose 3*t - 8 = -t. Suppose -12 = -5*s + t*s. What is the tens digit of u(s)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -4 minus 0.25801?\nAnswer: -4.25801","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -26\/125 - -1\/125. Does 30 = t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-2 + 0)\/((-1)\/1*1). Let v be 10*-6*m\/(-30). Suppose 2*o = -3*w - v, -5*w = 3*o - w + 6. Which is the nearest to -1\/3?  (a) 3  (b) -1\/10  (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose k - 3 = -0*k. Suppose -c = -3*c + 8, -2*d - c = -8. Let j = k + d. Solve 7 = 4*v + h, -4*v - j*h - 10 = v for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -16 + 14. Let l = t + 2. Factor -1\/5*n**2 + 0*n + l.\nAnswer: -n**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 107 + -94. Suppose -12*r + p = -11. Suppose -3*n + 104 = -d - 43, 5*d = -r*n + 115. Calculate the greatest common divisor of 20 and n.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*h + 13 = 3*b, -21 = 1558*h - 1563*h + b for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -70 - -72. Which is the nearest to r?  (a) -4  (b) 0.9  (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*w = -0*w - 4. Suppose 5*u - 8 = w. Let n be ((-20)\/18 + 1)*u. Which is the biggest value?  (a) -2\/11  (b) n  (c) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1 in 1, -5\/2, 2\/107, 0.1?\nAnswer: 2\/107","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -445, -438, -403, -322, -177, 50?\nAnswer: 377","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 18372 and 66?\nAnswer: 202092","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 167 and 2839.\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4 - 4 - a**2)*(2*a + 0*a - a) + 60*a**2 - 60*a**2 + 100*a**3 + 16*a**3 - 16*a**3 - 105*a**3.\nAnswer: -6*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 0.14 - 0.42. Let d = -0.02 + n. Let r = -0.8 - d. Which is the closest to -1?  (a) 2\/3  (b) -1  (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((p*p*p\/(p*p**1\/p*p)*p*p)**(-12\/7)\/(p\/(((p*p*p*p\/(p\/p**(-1\/4)))\/p)\/p))**(-1\/30))\/((p**(-1)\/p)**(-9\/2))**(-5\/11) assuming p is positive.\nAnswer: p**(-9643\/9240)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -1730\/63 + 214\/7. Which is smaller: v or 4?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(f) = -f + 4. Let b be s(5). Let m(w) = 6*w - 2. Let h = -2 - -7. Let i(o) = -o + h - 5. Determine b*m(v) - 5*i(v).\nAnswer: -v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -17\/3624 and 31\/4692.\nAnswer: 1416984","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let a(q) = -q**3 + 2*q**2 - 1. Let g = 79 + -78. Let d be a(g). Is -1\/61 greater than d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -12 - -27. Let a = g - 3. Suppose 5*v - 8 = a. Solve -24 = -u - u - v*f, 2*u = -3*f + 19 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:46 AM and 8:38 PM?\nAnswer: 532","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from nlbalbabay. What is prob of sequence bba?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 37 - 19. Calculate the lowest common multiple of b and (-212)\/(-10) - (4 + 192\/(-40)).\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 127 - 63. Let -11*l**3 + p + 48*l + 32*l**3 - 20*l**3 + 0*l**2 + 12*l**2 = 0. Calculate l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-3)\/2*(-40)\/60.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand -9*c**2 - 11*c**2 + 8*c**2 + (3*c - 10*c + c)*(-1305 + 5*c + 1305).\nAnswer: -42*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 4 + -4. Let y be (-6)\/(-10) - 321\/(-15). Suppose 3*d - 3*j - 33 = w, -d - y = -3*d - j. What are the prime factors of d?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 2\/5?  (a) 40  (b) -0.2  (c) -1  (d) -9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*f - 2*c = 2*c - 4, 5*c + 5 = 5*f. Suppose -11*z + 3*z + 16 = 0. Let k(g) = 0*g - 10*g + z*g + f*g. Let w(y) = 5*y**2. Give w(k(r)).\nAnswer: 80*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: -0.03 times 1749969\nAnswer: -52499.07","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 5 < 4363\/924?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 1.01 + -1.1. Let t = -8.213 - -8.12334. Let y = t - a. Round y to 4 decimal places.\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(s) be the first derivative of -13*s**5\/5 - 20*s + 21. Differentiate y(u) with respect to u.\nAnswer: -52*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 18\/8 - 1\/4. Let k be ((-3)\/r)\/((-6)\/8). Let m be (3 + -6)*k\/(-3). Solve 3*q - m = 1 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 57154 a multiple of 48?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: -44*-2\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 3144780901 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Convert -144 (base 5) to base 8.\nAnswer: -61","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*g + 8. Solve -3*n - 6 = 0, 2*n - g = 2*u + 4*n for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(v) = 2*v**2 - 20*v - 16. What is x(11)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (7\/4 - 2) + (-51)\/(-12). Let d be 1\/(2\/8*o - 0). Put -6, -4, d, 0 in decreasing order.\nAnswer: d, 0, -4, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0?  (a) 1\/5  (b) 6\/23  (c) -0.02  (d) -0.1  (e) -24\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Add 259.3969900722 and 0.2.\nAnswer: 259.5969900722","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let s(j) = -j**3 + 2*j**2 + 4*j. Let w = -23 - -23. Suppose w = -5*r + 15 - 0. Let g be s(r). Solve -3*d - 4*i + 5 = 0, -g*i = 2*d + 3 - 8 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 12174541 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -203*a - 278810 = -208*a. Let q = a - 29562. What is q rounded to the nearest one thousand?\nAnswer: 26000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 11\/2 of a millimeter in micrometers?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -7 + 6. Put -5\/4, -2\/13, k, -1\/9 in decreasing order.\nAnswer: -1\/9, -2\/13, k, -5\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-2)\/((-14)\/(-12)*1500\/(-250))\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*o + 4*o - 2. Suppose 34*c - 111 = -54 - 23. Put o, 4, c, -3 in decreasing order.\nAnswer: 4, o, c, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*v - 3116 = -4*h, 0 = 3*h + 48*v - 49*v - 2339. What is the units digit of h?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(b) = 7*b - 3. Suppose 8 = 2*u, -h = -2*h - 3*u + 17. Suppose -h*l + l + 8 = 0. List the prime factors of w(l).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 6*c - 22 + 34, -c + 1 = -j + 7 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 192672893 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 3969240 and 108097?\nAnswer: 341","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 21323401 - -2?\nAnswer: 21323403","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 1753?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1061387305?\nAnswer: 5, 11, 151, 227, 563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*d + 5316 = -5*r + 5290, -4*r = 5*d + 29 for r.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let b(c) = -112*c + 674. Let x be b(6). Solve -x*o - 9*o = -2*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of 131, 124, 117, 110, 103, 96?\n\"Answer: -7*t + 138","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let t(w) = -w - 1. Let j be t(-2). Let r(u) be the first derivative of -u**3\/3 + 6. Let n be r(j). Which is the third smallest value?  (a) -2  (b) n  (c) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from uzqvozuv. Give prob of picking 1 u, 1 z, and 1 q.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 617317 to the power of 1\/3, to the nearest integer?\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ddzz when four letters picked without replacement from jzzzzddjjttjdzd.\nAnswer: 2\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let t(i) = 3*i**3 - i - 1. Suppose -5*o = 2*c - 4, 0 = c + 4*o - 5. Let w = -1 - c. What is the remainder when t(w) is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*x = -4*x - 24. Let u = 39 - 21. Let h = u + x. List the prime factors of h.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(o) = o**3 + 15*o**2 - 18*o - 24. Calculate h(-16).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -8222 + 8226. Let n = -18 + 20. Sort n, j, -1, 9 in descending order.\nAnswer: 9, j, n, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2*-194.\nAnswer: 388","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is -19868 greater than -19867?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: -3135522 (base 7) to base 8\nAnswer: -1344065","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 4941498?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from gffffggfgfffffggggg. Give prob of sequence gfgf.\nAnswer: 45\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let v(n) = -7*n**2 + n + 5*n**2 + 9 + n**2 + 0*n**2. Determine v(0).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-148)\/(-28) - 2\/7. Let n(y) = g*y + 1 + 2*y**3 - 3*y**2 - 3*y**3 - 4. Let j(i) = -i**3 - 4*i**2 + 7*i - 4. What is -5*j(x) + 7*n(x)?\nAnswer: -2*x**3 - x**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 12 and 372.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3, 3, -10.\nAnswer: -10, -3, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*o**4\/2 - 15*o**3\/2 - 9*o**2\/2 + 27*o\/2.\nAnswer: -3*o*(o - 1)*(o + 3)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Work out 267 + -458.\nAnswer: -191","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 1*-1 - (-3 + 7). Let d = 88 + -84.5. Let c = -3.7 + d. What is the second biggest value in f, 5, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 139411409?\nAnswer: 139411409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-1)\/((-2)\/6*(-66)\/(-44)))\/6*174?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 753 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: Solve -198*n - 870 + 437 = 1943 for n.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 15813 a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 0.24 + -29.24. Let k = -26.284 + 55.295. Let u = w + k. Which is smaller: 0 or u?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 105 and 1234526895?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: (0 - (0 + 10)) + (-32 - -12 - -16)\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many milliseconds are there in eleven eighths of a minute?\nAnswer: 82500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 483985 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Find r, given that -4*r**4 + 3216*r**3 - 72252*r**2 + 311200*r + 937200 = 0.\nAnswer: -2, 10, 15, 781","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let n(r) = -r**2. Let v(t) = 1617*t**2. Calculate n(v(b)).\nAnswer: -2614689*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 7\/3 of a week in hours?\nAnswer: 392","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 15 and 1050.\nAnswer: 1050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -56.9 + 56.87. What is the third smallest value in -4, -0.4, l, 34?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 4304?\nAnswer: 2, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose p + 0 - 8 = 2*f, -4 = p + 2*f. Let w(u) = -4*u**2 + 0*u**3 - p*u**3 - 4*u**3 + 4*u. Let q(a) = 7*a**3 + 5*a**2 - 5*a. Calculate 4*q(g) + 5*w(g).\nAnswer: -2*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 425 is divided by 416.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -1644 + 1714. Suppose 0 = -8*p + 3*p + 180. Calculate the remainder when z is divided by p.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -13 + 10 - (-1 + 3 + -7 + 0 + 2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 106 - 105.9. Sort 262\/7, u, -2\/5, -3.\nAnswer: -3, -2\/5, u, 262\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(s) = 14*s**2 - 133*s + 363. Let l be b(3). Solve -l = 5*k - 75 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.127 take away 142718?\nAnswer: -142717.873","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (30\/63)\/((-5)\/(-7)).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 12*p + 17*p + 174 = 0. Let g(s) be the third derivative of -s**4\/24 + s**3\/2 - s**2. Calculate g(p).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -33 + 37. Solve 4*b = 3*l + 13 - 41, -v*b + 2*l - 24 = 0 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 198*h*s**3 + 2*h*s**2 - 2387*h*s + 187*h + 36*s**3 wrt s?\nAnswer: 1188*h*s + 4*h + 216*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let p(i) = -i + 3. Let w be p(4). Let r be 20*w\/(-4)*1. Is r\/2*(-116)\/(-5) a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -4 + -1. Let i = -4.01 - -4. Let d = i - 0.29. What is the closest to -2\/7 in d, a, 3?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -13 - -120335025?\nAnswer: 120335012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 96875481 a multiple of 1283?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 727241 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Express -1 + 7*b**2 - 3 + 2 as n + r*b + w*b**2 and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 35644 and 17084.\nAnswer: 152235524","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 47160815.\nAnswer: 5, 13, 29, 127, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 125737229 to the nearest integer?\nAnswer: 501","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in 0.4, -0.05, 4, 0.12?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 1\/4 of a litre?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 9993.\nAnswer: 3, 3331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*q = 10*q - 390. Let v = 121\/2 - q. Do v and -4 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -26*v**2 + 5*v**2 - 18*v**2 to the form o + i*v + x*v**2 and give x.\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 4 a factor of ((-7666)\/(-7))\/(235\/(-35) + (21 - 14))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -605\/26, 4, -518 in descending order.\nAnswer: 4, -605\/26, -518","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is -2144 (base 6) in base 13?\nAnswer: -2c2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*d - 33 + 18 = 0. Suppose d*w + f - 5160 = 4555, -6470 = -2*w - 2*f. What is w rounded to the nearest 100?\nAnswer: 3200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 56 - 14. Does 3 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 18906191467 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve 54*f - 315 - 333 = 0 for f.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 7186 is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -0.5, 6\/7, -1\/5?\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is b in 5*b**3 - 188865*b**2 + 1784349000*b - 16043846580 = 0?\nAnswer: 9, 18882","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -17 - 8546?\nAnswer: -8563","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*w + 9 = -w. Is -3 - (w + (-373)\/1) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*d**3\/7 - 5141992*d**2\/7 + 10283996*d\/7 - 5142000\/7.\nAnswer: -4*(d - 1)**2*(d + 1285500)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let r(l) = -6*l**2 + 1255*l + 472. What is the tens digit of r(175)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does -72511 = -72510?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 83539000 and 30074040?\nAnswer: 751851000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -146, -44, 212, 700, 1498, 2684?\nAnswer: 4336","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 266133 to the nearest integer?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 3556567 a multiple of 49?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 99 and 3828?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of ((-6258)\/(-63))\/(-2)*-1212?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (1 + 4 - 1)*(-2*r + 3 - 3)*(2 - 2 - 3) to the form t*r + d and give t.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is (14\/(-12))\/((-63)\/(-27))?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -81 - -889\/11. Let f be 2\/(-7) + 117\/385. Let u = f - r. Which is smaller: u or 1?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*p - 23 = -3*f, -3 = p + 2*p. Let b(c) = c**3 - 5*c**2 + 4*c - 1. Let d be b(4). Let r be -2 - -4 - 7\/d. Solve r = -f*m + 3*m for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3 = m + 2*m. Let n be -6 + 6 + 3*m. Let k(b) = -b**3 + 4*b**2 - b + 1. Let x(p) = -2*p**3 + 10*p**2 - 3*p + 7. Let d(o) = 3*k(o) - x(o). Give d(n).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 1\/((-3)\/(-9)) + 7. Let t be 26\/7 - s\/(-35). Let v(d) = -d**3 + 3*d**2 - d + 4. Let r be v(3). Sort -2, r, t in decreasing order.\nAnswer: t, r, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 185047 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 57056.\nAnswer: 2, 1783","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0, -4, -569, -1, -0.096, -2 in ascending order.\nAnswer: -569, -4, -2, -1, -0.096, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 56 + -44 - (2 - (-2 - 1) - 3).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -b + 12 = 20*v - 13*v, -3*b = -3*v - 12. Solve 28 - 34 = -3*o + u, -3*o - 12 = b*u for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(g) be the first derivative of -g**3\/3 - g - 3874. Let q(p) = -2*p**2 + 4. Let a = 3 - 2. Calculate a*q(l) + 4*j(l).\nAnswer: -6*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of 307, 689, 1217, 1963, 2999?\n\"Answer: 12*o**3 + o**2 + 295*o - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is h in -h**5 + h**4 + 53*h**3 - 273*h**2 + 504*h - 324 = 0?\nAnswer: -9, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -b2 - -2?\nAnswer: -b0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let i(m) = -33*m**3 + 11*m**2 + 12*m + 3. Let k be i(-1). What is the greatest common factor of k and 445?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -bb7c + 75?\nAnswer: -bb07","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Determine y, given that 12*y**2 + 0*y**3 - 24 + 0*y - 3\/2*y**4 = 0.\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 8577 is divided by 355.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*z - 0*z + s + 25, -3*s = -3*z. Let b = -3.5 + 3. Let r = 9 - 4. What is the second biggest value in b, r, z?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.01655571 to 5 decimal places.\nAnswer: 0.01656","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 27870\/105 - (-3)\/42*-6. What is the common denominator of 1 - k\/(-35) - 5 and ((-35)\/(-20))\/((-18)\/(-32))?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*w - 354 = 126. Calculate the greatest common factor of w and 24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -b (base 14) to base 3.\nAnswer: -102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((21\/(-18))\/(-7))\/(3\/27*-1).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {b: 7, n: 5}. What is prob of sequence nbbn?\nAnswer: 7\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-3*4*sqrt(95)*1)\/(sqrt(50)\/(1*sqrt(10))*4).\nAnswer: -3*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let o(p) be the second derivative of 5*p**4\/4 - 3*p**3\/2 - 3*p. Let h(z) = 9*z + 4*z**2 + 4*z - 27*z + 9*z + 4*z**2. Determine 9*h(t) - 5*o(t).\nAnswer: -3*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Does 25 divide 826748475?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 1201 - 13?\nAnswer: 1122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Total of 33 and -583822671.\nAnswer: -583822638","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) -0.05  (b) 311\/3  (c) -4  (d) -108  (e) 2  (f) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let o(j) = j**3 - 96*j**2 + 95*j - 461. Let f be o(95). Sort -2, -0.3, f, -1.\nAnswer: f, -2, -1, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(y) = -15*y - 658. Let p be a(0). Let k = -661 - p. Let g(f) be the first derivative of 2*f**3\/3 + f**2\/2 + 1. Calculate g(k).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(p) = -297*p - 5045. Let l be b(-17). What is the fifth smallest value in l, -2\/17, 0.11, 5, 2?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 538 minutes after 10:45 PM?\nAnswer: 7:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is one quarter of a minute in seconds?\nAnswer: 15","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 65 + 5 - 72 + 2 + 6238*z.\nAnswer: 6238*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 992\/720 + 2\/9. Is i greater than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-10 + 0)\/40 + (-9)\/(-4). Suppose -3*p + 907 = r*h - 6*p, -p = -3*h + 1350. What are the prime factors of h?\nAnswer: 449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: 727 times 0.3\nAnswer: 218.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: 3a1 (base 14) to base 16\nAnswer: 2d9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let j(u) = -u**2. Let y(o) = 575*o**2. Determine y(j(w)).\nAnswer: 575*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 129 = -i + 131. Solve 64\/9*z + 2\/9*z**4 + 16\/9*z**3 + 16\/3*z**i + 32\/9 = 0.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from rhkrkdrrkhbd. What is prob of picking 1 r and 1 d?\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -4271, -8549, -12833, -17123, -21419?\nAnswer: -25721","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 14748575 - 7405*a - 14748575 to the form w + q*a and give q.\nAnswer: -7405","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let q(z) = 5*z**2 + 21*z + 135. What is the hundreds digit of q(-8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-5*((2*sqrt(1260)*-4 - sqrt(1260)) + sqrt(1260) + sqrt(1260) - sqrt(1260)))\/(4*-5*(2*sqrt(77) + sqrt(77))\/sqrt(11)).\nAnswer: -4*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let t(x) = 206605*x + 3. Let f(m) = -m. What is f(t(q))?\nAnswer: -206605*q - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (4*2*(sqrt(2448) - (sqrt(2448) + (sqrt(2448) - 4*(sqrt(2448) - sqrt(2448)*2)) - sqrt(2448)) - -6*sqrt(2448)*2))**2.\nAnswer: 10027008","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 12 - 5 - (1 + -2). Solve -b = -2*n - 2*n for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0?  (a) -43\/2  (b) -2  (c) -5  (d) 233  (e) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Put 5, -23, 2, -153.5, 1 in ascending order.\nAnswer: -153.5, -23, 1, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let o(m) = -3*m + 47. Let f(p) = -4*p + 47. Let b(q) = -2*f(q) + 3*o(q). List the prime factors of b(-14).\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 1763 + 874?\nAnswer: 2747","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 154*s - 3022 + 3022.\nAnswer: 154*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve -f = -a - 6 - 8, f + 10*a - 15 = 34 - 68 for f.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 22 is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let x(g) be the second derivative of -g**5\/5 - g**4\/3 - 3*g. Find the third derivative of x(b) wrt b.\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 118751 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Find k such that -2*k**4\/15 + 26*k**3\/3 + 4056*k**2\/5 - 1195168*k\/15 + 25590656\/15 = 0.\nAnswer: -91, 52","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -476*o + 315 = -467*o. What is the greatest common divisor of 1085 and o?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 33 + -20?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-6*4*sqrt(60))\/(sqrt(132)\/sqrt(44)).\nAnswer: -48*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -10 - -11. Let i be 1\/2*(45 + k) - 3. Solve 8*z = 4*z - i for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 268929 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 5.447634411 rounded to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (2 - -7) + -8 + -2. Sort q, -3\/4, -23, 3\/7 in increasing order.\nAnswer: -23, q, -3\/4, 3\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 16*w**2 + 14*w**2 - 5 - 33*w**2 to the form u*w**2 + s + q*w and give s.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -4.66917 and 0.3.\nAnswer: -1.400751","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 1311901779 a multiple of 896?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 d and 1 p when two letters picked without replacement from kpdxxod?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 2915.69 + 223946?\nAnswer: 226861.69","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let x(a) = a. Let b be x(0). Suppose 0*r + 22 = -2*r. Let v be (-42)\/r - (-20)\/110. Solve -2*s + s - v = b for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 285398 times -1.1?\nAnswer: -313937.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 86 is divided by 46?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 581 minutes before 10:39 PM?\nAnswer: 12:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 899307 to the power of 1\/6, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 2.0223159 minutes in hours?\nAnswer: 0.033705265","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 10*n - 3*n - 2100. What is n rounded to the nearest one thousand?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 2 + -3 - (-7 - -1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 24200318 is divided by 59.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -26*w**3 - 5*w + 29*w**3 + 4*w**3 + 5*w.\nAnswer: 7*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-2)\/11 - (8 + (8700\/110)\/(-6)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 344 is divided by 21?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 5 and -20.125178.\nAnswer: -100.62589","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (i*i\/i**(-1\/11)*i**(3\/2)*i*i)**(-4\/15) assuming i is positive.\nAnswer: i**(-82\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let u(k) = k. Let w(d) = -88*d + 869. Let f be w(10). Determine u(f).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*b + 20 = -5*z + z, 4*b + 16 = 0. Let q be (24\/4)\/(z + 2). Let 11*n**4 - 4*n**5 + 2*n + 15*n**q + 8*n**2 + n**2 + 7*n**5 = 0. What is n?\nAnswer: -1, -2\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add together -0.011990245 and 50347.\nAnswer: 50346.988009755","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let v(j) = 15534*j**2 - 816*j + 24. Let i(l) = 7767*l**2 - 464*l + 12. Let z(m) = 7*i(m) - 4*v(m). What is the second derivative of z(d) wrt d?\nAnswer: -15534","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 22*h - 88*h - 173*h + 0*h + h + 0*h + 2 + h - 2 + h + h - 3*h + (2*h + 0 + 0)*(2 - 1 + 1).\nAnswer: -234*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -16*d - 214 = -166. Let h(b) = -4*b**3 - b**2 + 7*b + 3. Let q(u) = 9*u**3 + 2*u**2 - 15*u - 6. Let o(w) = 7*h(w) + 3*q(w). Give o(d).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(o) = 4*o - 50. What is the remainder when 37 is divided by w(16)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 8*n**2 + 4*n + 2*n + n wrt n.\nAnswer: 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 564 minutes after 9:49 PM?\nAnswer: 7:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 126 and 350?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -203 - 51 = -64*d + 514. What is the greatest common divisor of d and 7428?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {t: 3, o: 6, b: 2, k: 2}. What is prob of picking 2 o, 1 t, and 1 k?\nAnswer: 18\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 34560.30483 plus -19.14?\nAnswer: 34541.16483","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 800661372?\nAnswer: 2, 3, 7, 23, 73, 811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 547 + 4364 = 3*p. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 2*8\/6*12\/(-8)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(2304) + sqrt(2304)*-2)\/sqrt(12)*4.\nAnswer: -32*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let z(o) be the third derivative of 7*o**5\/660 - 431*o**4\/33 + 328*o**3\/11 + o**2 + o + 38. Determine k so that z(k) = 0.\nAnswer: 4\/7, 492","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -0.09 + -1.91. Suppose k - 6*u = -u + 17, 26 = -2*k - 5*u. What is the third smallest value in p, -7, k?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*a - 192 = -2*j, 3*a - 304 = j - 0*j. Is a a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(a) = -1. Let y(r) = 2 + 1 + 1 - r. Let q(j) = 4*d(j) + y(j). Let h(u) = 3*u**2. What is q(h(v))?\nAnswer: -3*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2368 is divided by 233?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 4846800 a multiple of 84?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 0.3 from -690184.64.\nAnswer: -690184.94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 7*30\/245*-7?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Convert 43 (base 5) to base 15.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, 2, -2, 3, -11 in descending order.\nAnswer: 3, 2, -2, -5, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-6 - -3) + (1 - (3 - 4)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 15663984 is divided by 1166?\nAnswer: 1106","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -306\/91 + 50224\/16289. Find the common denominator of u and -32\/3.\nAnswer: 537","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1077742208 to the power of 1\/2, to the nearest integer?\nAnswer: 32829","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1*((-6318)\/27)\/26.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find s such that 2*s**4\/3 + 4*s**3 + 22*s**2\/3 + 4*s = 0.\nAnswer: -3, -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 1766*f**4 - 1215 wrt f.\nAnswer: 7064*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let v(f) = 7*f**2 - f + 3. Suppose 0 = 34*t - 33*t + 2. Calculate the remainder when v(t) is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 23369 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 11 a factor of 254052931?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 31793 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -4 divided by -46302.\nAnswer: 2\/23151","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 12\/91  (b) 0  (c) -10  (d) -3  (e) -31  (f) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let b(q) = q**2 + 8*q - 19. Let k be b(-10). Let w(i) = 124*i**3 - i**2 + 2*i + 1. Is w(k) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(k) = -k**2 + 21*k + 46. Let b be n(23). Suppose -2*q + 10*q - 504 = b. Calculate the remainder when q is divided by 18.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 1056 by 176.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from zldpehhhzpp. Give prob of sequence ph.\nAnswer: 9\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((n**7\/((n\/(n\/n**(-7)*n))\/n))\/(n\/(n*n**(-1\/11)*n)*n*n**(-3)))\/((n**(2\/3))**33)**(-10\/11) assuming n is positive.\nAnswer: n**(428\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence fg when two letters picked without replacement from fggfoffof?\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-26*(-20)\/2080*(-1)\/1)\/((-4)\/912).\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 7813 is divided by 17.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2096190424?\nAnswer: 2, 79, 1361, 2437","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve 21*f - 26*f = -20 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Determine p, given that 65*p**3 + 30*p**2 - 65*p - 30 = 0.\nAnswer: -1, -6\/13, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 5519 to the power of 1\/5, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Does 16 divide 1408144?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 80 and 756310.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 25 - 27. Let j(c) = -c + 1. Let m be j(-8). Let w(u) = -3 - 2 - 5 - 2*u + m. Calculate w(s).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 915474.54 - 60694.1?\nAnswer: 854780.44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-1)\/10)\/((-12)\/(-30)).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 87616941?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Convert 340122110 (base 5) to base 7.\nAnswer: 15441124","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: 952 + -0.4839\nAnswer: 951.5161","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 683963470?\nAnswer: 2, 5, 67, 1020841","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let u(q) = 309*q - 1300. What is the lowest common multiple of u(5) and 1085?\nAnswer: 7595","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(z) = z. Let j(o) = 271*o - 214*o - 270*o - 393*o - 207*o. Calculate w(j(q)).\nAnswer: -813*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*u - 5*a = -8266 + 2471, 5*u + 4*a = 14496. Let d be ((-2)\/4)\/((-10)\/u). Round d to the nearest ten.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 149080 or 151550?\nAnswer: 149080","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 30047 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let f(m) = 4*m**4 + 15*m**3 + 42*m**2 + 37*m + 12. Let w(i) = -3*i**4 - 15*i**3 - 41*i**2 - 37*i - 12. Let q(p) = -2*f(p) - 3*w(p). Factor q(x).\nAnswer: (x + 1)**3*(x + 12)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 4917480?\nAnswer: 2, 3, 5, 43, 953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 678687 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Round -508.009452 to 0 decimal places.\nAnswer: -508","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Put -95, 0.075211, 1\/3 in increasing order.\nAnswer: -95, 0.075211, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 837?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-6)\/21 - 215\/7. Let f = -16 - p. List the prime factors of f.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(d) = 2*d**2 + 4*d + 25. What is the units digit of y(-3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((4*7\/(-14))\/1)\/2*-5.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 18 + 0 + (-7 - 0) - 2?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Put -4, -2, 134, 3, 190 in descending order.\nAnswer: 190, 134, 3, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Work out 46 - 10302679.\nAnswer: -10302633","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -4929.2 - -4929. Which is the closest to 0.078?  (a) 7  (b) 5  (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 7 + -2*(-516)\/(-144)\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(u) = -15483*u - 634938. Give l(-41).\nAnswer: -135","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 101018747383 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(60)\/(sqrt(27)*-5 + sqrt(3)))\/((sqrt(224)\/sqrt(63))\/sqrt(8)).\nAnswer: -3*sqrt(5)\/14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of -46191, -92282, -138171, -183756, -228935, -273606, -317667?\n\"Answer: 17*f**3 - f**2 - 46207*f","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-5 - (-2 + -14))\/1. Suppose -12*f + 59 = m. Solve 0 = -3*p + s - 2 + 16, -2 = -f*p - 2*s for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 1, -4\/7, -2\/5, 0.1, 75\/4?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 246 is divided by 50.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 2 - 14dc42b0?\nAnswer: -14dc42ac","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-126)\/84)\/((-2)\/(-8))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -9*q**3 - 56*q + 56*q.\nAnswer: -9*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 27 = 5*d + 2. Is d bigger than 6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: 412\/(-12875)*5\/2\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 202 minutes after 8:41 PM?\nAnswer: 12:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -u - 102 = -4*f - 0*u, -2*f + 46 = -3*u. Calculate the remainder when 75 is divided by f.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(o) = o**2 - 3*o - 4. Let p be d(4). Let f be ((-4)\/42)\/((-17)\/102). Let r = 9\/28 - f. Which is the second smallest value?  (a) p  (b) r  (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(a) = a + 4*a + 16*a + 6*a - 29*a. Let i(g) be the second derivative of 0*g**2 + 0 + 20\/3*g**3 + 2*g. What is i(t(l))?\nAnswer: -80*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*u + u + 0*u + (-5*u + 10 - 10)*(-4 + 0 + 2))*(u**3 - 2*u**4 - u**3).\nAnswer: -22*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is the sixth biggest value?  (a) 5  (b) -6\/335  (c) -0.3  (d) -28  (e) 3  (f) 0.14\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 229208712.\nAnswer: 2, 3, 197, 48479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 1495 + -593. Let i = -568 + g. List the prime factors of i.\nAnswer: 2, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 2 + 2. Let o = 370 + -369. Let p be 3 - 2 - o - 1. What is the nearest to -1 in m, -4, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify u**9\/(u**(-26)*u) assuming u is positive.\nAnswer: u**34","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Divide 13904981 by -1.\nAnswer: -13904981","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -1153476, -1153483, -1153494, -1153509, -1153528, -1153551?\nAnswer: -1153578","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 2830312908 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {t: 2, j: 1, f: 3, q: 2, b: 8, d: 1}. What is prob of picking 1 t, 1 f, and 1 d?\nAnswer: 3\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let o(p) = -21901*p + 2847123. Determine o(130).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 13230 - -2330?\nAnswer: 21110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 q and 2 d when four letters picked without replacement from ooqmodd?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Product of -96191421 and -4.\nAnswer: 384765684","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -2 - 10 - (-41 - -22).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*d**5\/5 - 6*d**4\/5 - 14*d**3\/5 + 22*d**2\/5 + 12*d\/5 - 16\/5 = 0.\nAnswer: -2, -1, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 63\/49 + (-4)\/42*3. Let v be t*((-4)\/20 - (-5)\/25). Sort v, 5, -12, 2.\nAnswer: -12, v, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 15 a factor of 4469128?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 0 - (-2 + -1 + 3). Let c be (-7 - -4)\/(1 - n). Let k(x) = x**3 + 4*x**2 - 2. What is the remainder when k(c) is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 2 - 31*c**3 + 364*c - 319*c - 5*c**2 + 27*c**3 as v*c**2 + o*c**3 + r + f*c and give o.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -7 - 25?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 7 - 5. Suppose q*p = 227168 - 947168. Round p to the nearest one hundred thousand.\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*m**2\/3 + 88*m\/3 + 86\/3 = 0. What is m?\nAnswer: -43, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Find f such that 372*f**2 - 805316*f - 1750936 = 0.\nAnswer: -202\/93, 2167","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Sort -422, -3, 2 in decreasing order.\nAnswer: 2, -3, -422","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 4452078?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let a(i) = i**2 - 25*i - 528. Calculate a(39).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 20*s - 19 - 141. Solve s - 16 = -4*h for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 6537.1 - -2\nAnswer: 6539.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 2\/6*((-18)\/24)\/(-1).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 407\/1628*(-36)\/(1\/(-1)). Let j(y) = -4*y - 4. Let c(p) = -15*p - 16. What is k*j(q) - 2*c(q)?\nAnswer: -6*q - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let n(w) = w**2 + 1. Let v(u) = u**3 + 14*u**2 + 20*u - 27. Let a(j) = -3*n(j) + v(j). Let l be a(-8). Suppose 2 = 3*x - x. Solve l*f = 3 - x for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*w = 4*h - 26, -3*w + 1467 = h + 1448. Let j = -18 + 18.07. Let r = 212 + -1910\/9. Which is the third smallest value?  (a) w  (b) 4  (c) j  (d) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 19103*c**4 - c**3 - 3*c**2 + 149248 wrt c?\nAnswer: 76412*c**3 - 3*c**2 - 6*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 119 a factor of 168407?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -t**2 - t**2 + t**2.\nAnswer: -t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 1\/2  (b) -1049796  (c) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*s = -3*o + 4*o + 14, -4*s = -3*o - 17. What is the highest common divisor of 5 and s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 1152057?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 82036 times 42?\nAnswer: 3445512","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let z(g) = 5*g**2 - 43*g + 64. Let r be z(7). Sort -4, r, -2, 1, 14 in ascending order.\nAnswer: -4, -2, 1, r, 14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 289*z + 2159 + 2782 - 4941.\nAnswer: 289*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Put 0, 2, 245, -4 in descending order.\nAnswer: 245, 2, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let g(m) = 17*m**3 + 85*m**2 - 3*m + 13. Give g(-5).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Sort -16241719, 5, 9.\nAnswer: -16241719, 5, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 4352 to the power of 1\/3, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 t, 1 y, and 1 g when three letters picked without replacement from {u: 2, g: 1, h: 1, y: 7, o: 3, t: 4}.\nAnswer: 7\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-7 - -5)\/(4\/(-10)). Suppose -3*o - 2*o = s, 4*o = -2*d - 68. Let c = -21 - d. Solve 5*i = 20, -t - 5*i + 2*i = -c for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 27 = 5*h - 18. Let u = 7274 - 7268. Solve -2*o + 21 = -u*s + s, -4*o + h = s for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 2 + -5?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let g(w) = -5*w**3 - 143*w**2 - 36*w - 1130. Let x(r) = r**3 + 29*r**2 + 7*r + 226. Let t(j) = 3*g(j) + 14*x(j). Give t(-23).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -3 in -0.24658, -2.7, 2, -1?\nAnswer: -2.7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2*(2*(-1 + -2*sqrt(252)) + (5*sqrt(252)*1 + -1)**2 + -3).\nAnswer: -12592 + 168*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: (135\/(-702)*(-24)\/(-10))\/2\nAnswer: -3\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 28\/(2 - 3 - -2).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(b) = -b**2 + 129*b - 3732. Determine u(85).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let s(n) = -8*n - 8. Let k = -6 + 1. Let c be s(k). Suppose -u = c - 138. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4*y**2 - y**2 - 5*y**2)*(15*y - 2*y + 6*y)*(-3 - 1 + 6)*(3*y - 5*y + y).\nAnswer: 380*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let v(q) = q. Let b(c) = -21*c - 1. Determine b(o) + 4*v(o).\nAnswer: -17*o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 121550957?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((a\/(a\/a**5)*a)\/a*a)\/a*a**3*a)**(-6)*(a**0*(a**(3\/5)*a*a)\/a)\/(a\/(a**(-1\/4)\/a)*a**(-3)) assuming a is positive.\nAnswer: a**(-1033\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 7293171 a multiple of 159?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"}
{"text":"Question: Let g(j) be the first derivative of -j**3\/3 - 59*j**2\/2 - 114*j - 203. Factor g(v).\nAnswer: -(v + 2)*(v + 57)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2507 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 123 - -1?\nAnswer: 124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: 31310 (base 6) to base 3\nAnswer: 12210020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is twenty-one halves of a litre in millilitres?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 85*t - 131 - 39 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (10 - 33) + 16 + -1 + -1.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify r*r**(-10)*(r**(-2\/9)*r)\/r*r\/r**(-2\/13)*r**(-8\/5) assuming r is positive.\nAnswer: r**(-5656\/585)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.5 plus 191634069?\nAnswer: 191634069.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 27*f**4*v**2 - 26*f**3*k**2*v**3 - 21*f**2*k*v**3 - 2*f**2 - 2*f*v**2 + 2*k**2*v**2 wrt f?\nAnswer: 648*f*v**2 - 156*k**2*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Find v, given that 21*v**4 - 36*v**3 - 3561*v**2 + 6084*v + 2028 = 0.\nAnswer: -13, -2\/7, 2, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1998?\nAnswer: 2, 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 6265.\nAnswer: 5, 7, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 12, 2\/17, 583, 8, 1\/3?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 663 to the power of 1\/2, to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 6\/7, -2\/3, 2\/159?\nAnswer: 2\/159","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 48 - 115. What is the third biggest value in -1, b, -3?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (m**(-5)\/m)**(11\/3) assuming m is positive.\nAnswer: m**(-22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 18 a factor of 129175524?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 3885210782?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let q(x) = -x**3 - 6*x**2 - 3*x + 5. Let c be q(-5). Let n(b) = 7*b**2 + 6*b + 3. Let o be n(c). Suppose m - o = -3*m. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 2577941?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9*a - 5*a - 28 = 0. Suppose -2*p + 11 + a = -2*l, -4*p + 2*l + 26 = 0. Solve 0 = 3*t + 4*n - 5 + 3, -2*t + p*n = 12 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*a + 25 = 0, -7013 = -4*q - 3*a + 37968. Suppose q - 849 = -4*x. What is x rounded to the nearest one thousand?\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 3260 - 16297\/5. Put -0.9, 0, 1, d, 0.5 in descending order.\nAnswer: 1, d, 0.5, 0, -0.9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((-4)\/(-1))\/(196\/21)\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Put 1818, -915, 2 in descending order.\nAnswer: 1818, 2, -915","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -61 + 145. Does 7 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((2 + -4*(4 + sqrt(1300)))*5)**2.\nAnswer: 28000*sqrt(13) + 524900","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -144653*s**4 - 298836 wrt s?\nAnswer: -578612*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence gy when two letters picked without replacement from zyuyzgzzzguy.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let s(y) = 20*y**2 + 52*y + 16. Let z(v) = v**2 + v - 1. Let h(b) = -s(b) - 8*z(b). Determine o so that h(o) = 0.\nAnswer: -2, -1\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 22 = -4*u + 14. Let c(d) = -4*d**3 - 2*d**2 - 3*d - 3. Give c(u).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0 + 8\/7 + (-58)\/406.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -o - 2*o**3 - o**3 + 2*o**3 + (22*o + 75 - 75)*(-3*o**2 + 1 - 1).\nAnswer: -67*o**3 - o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:02 PM and 10:06 PM?\nAnswer: 4","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 10973*k**4 - 2921*k**3 - 82280603*k.\nAnswer: 131676*k**2 - 17526*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let d(v) = -23*v**2 - v. Let k(m) be the first derivative of 35*m**2\/2 - 4118. Calculate d(k(q)).\nAnswer: -28175*q**2 - 35*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 207082.1mm in meters?\nAnswer: 207.0821","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1224*w**2 - 1218*w**2 - 1222*w**2 - 1221*w**2 - 1220*w**2 + 7329*w**2 - 1226*w**2.\nAnswer: -2*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: -36388 + 1609\nAnswer: -34779","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (w\/(w\/(w**3*w)))\/w**14 assuming w is positive.\nAnswer: w**(-10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 0.2, -19, -5, -273, 4\/3, -6?\nAnswer: -19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 142  (b) -5\/6  (c) -50\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 670 minutes after 7:19 PM?\nAnswer: 6:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 57 a factor of 40750725?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((m\/(m**0\/m))**(19\/5)*(m**(-2\/15)*m)\/m*(m*m**(2\/13))\/m)\/((m*m**(-3\/5)*m*(m\/m**(-4\/7))\/m)\/(m**0)**(2\/67)) assuming m is positive.\nAnswer: m**(7711\/1365)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -83*k = -89*k. Let r(a) = -a**2 + 2*a + 60. Let w be r(k). Calculate the greatest common divisor of 24 and w.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(i) be the first derivative of i**3\/3 - 9*i**2\/2 - 11*i + 43. Let f be c(10). Are 1\/23 and f equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*c = -5*r + 11, 5*r - 4*c = c - 25. Is r >= 9\/19?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 329787108?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 3458 is divided by 68?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: 54129*-19.695\nAnswer: -1066070.655","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 722, 1446, 2200, 2996, 3846, 4762, 5756?\nAnswer: 6840","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 8*a + 2*a + 5*a - 13*a.\nAnswer: 2*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from pxxxxxxxxxxxx. What is prob of sequence px?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*c + 10*d + 256 = 0, -2*d - 6258 = -3*c - 6214 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Express -2*t - 4 + 3 + 2*t + 2*t**3 + t in the form w*t**3 + m + q*t**2 + o*t and give m.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let y(b) = 2*b**2 - 19*b + 11. Suppose -4 = -2*n + 5*k + 14, 3*n = -4*k + 27. Let r be y(n). Solve 0 = 5*f + 10, f = l + r*l - 17 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of -17, -38, -67, -104, -149, -202?\n\"Answer: -4*f**2 - 9*f - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 63978980419 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 245474?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 39193522 to the power of 1\/4, to the nearest integer?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((0 + y**2 + 0)*(0 - y + 0) + 4*y - 4*y + 2*y**3)*(8*y - 7*y + 6*y) + 20*y**4 - 35 + 35.\nAnswer: 27*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Expand -2*o**3 + 3*o**2 - 3*o**2 + (3*o - 3*o + 2*o**3 + 2*o**3 + 2*o**3 - 3*o**3 + (2 - 2 + 1)*(3*o**2 - 8*o**3 - 3*o**2))*(-2 + 0 + 3).\nAnswer: -7*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -x = q + 7, 0 = 2*x + 3*x - 3*q + 43. Calculate the lowest common multiple of (-2)\/x + (-15)\/(-4) and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(x) be the first derivative of 0*x - 2\/3*x**3 - 1\/8*x**4 - 77 - 3\/4*x**2. Factor u(g).\nAnswer: -g*(g + 1)*(g + 3)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose b - 2 = -a + 6, 4*b = 8. Suppose 4 - a = r. Suppose 7 = 3*u + 1. Put 3, r, u in descending order.\nAnswer: 3, u, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 287 a multiple of 41?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -32\/3 and 81\/2834684.\nAnswer: 8504052","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 8 and 13834.\nAnswer: 55336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let h(b) = -b**3 + 12*b**2 - 4*b - 12. What is the remainder when 258 is divided by h(11)?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -108*g + 103*g + 20 = -5*v, -14*g + 3*v + 56 = 0 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let o(k) = -2*k - 1. Let b be o(-6). Suppose 0 = -4*a - j + 14, 4*a - 5*j = 2*a + 18. Solve -b = a*y + 5 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (6\/8)\/((-129)\/(-172)). What is the tens digit of (((-28782)\/(-4))\/(-27))\/(y\/(-4))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -2 - 1 - (-176 - -174).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((20\/90)\/((-2)\/(-3)))\/1.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -g - 0 + 10. Let i(a) = a - 8. Let t be i(g). Factor 0*s + 3*s**2 + 2*s + s**3 + s**t + s**3.\nAnswer: 2*s*(s + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many tonnes are there in 50.27529 micrograms?\nAnswer: 0.00000000005027529","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 7828717 is divided by 29103?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of r**3*s*v + r**3*v**2 + 25*r**3*v + 9*r**2*s*v + r*s*v**2 - 494*r*v**3 + r*v + 4*v wrt v.\nAnswer: 2*r**3 + 2*r*s - 2964*r*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let b(k) be the first derivative of k**3\/3 - 10. Let n(i) = 2*i**2. What is b(n(y))?\nAnswer: 4*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 378882359 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1.08 - -5.79.\nAnswer: 4.71","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of -10, 7, 10, -7, -50, -125, -238?\n\"Answer: -a**3 - a**2 + 27*a - 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let t(i) = -i**3 + 79*i**2 - 89*i + 868. Let g be t(78). Solve -g*j + 231 = 211 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 9368151.363 rounded to the nearest one hundred thousand?\nAnswer: 9400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let z(b) = 11*b + 6*b - 15 + 20*b. Calculate the remainder when z(7) is divided by 13.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2017671 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let m(d) = 6*d - 9. Let g be m(4). Let q = 18 - g. Suppose -4*b = 3*t + 4, -2*t = -0*b + 5*b + 5. Put t, q, 2 in increasing order.\nAnswer: t, 2, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0066082 rounded to four decimal places?\nAnswer: 0.0066","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*q - 10 = 5*y, 0*y + 3 = y. Suppose -i = -4*f + 38 + 332, -5*f - q*i = -450. What is the units digit of f\/22 + (-8)\/44?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*m + 24 = -2*j, 0 = -5*m + 17*j - 10*j + 46. Put -1\/5, -1\/6, 1, -1.2, m in decreasing order.\nAnswer: 1, -1\/6, -1\/5, -1.2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: 326649440 divided by 2512688\nAnswer: 130","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*o + 10 = 2*o. Suppose -o*a + 132 = -a. Suppose i - 9 = -p, 8*i - 10*i + 3*p + 18 = 0. What is the remainder when a is divided by i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {l: 7, y: 6, d: 2}. Give prob of picking 1 l and 3 y.\nAnswer: 4\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 19344 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 425363429 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from hnhthntnnnntnhnn. What is prob of picking 1 h, 1 n, and 1 t?\nAnswer: 27\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 16*c - 10*c + 24. Is (0 - (-187911)\/12) + 1\/c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 110493 is divided by 27575.\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 109490 is divided by 12163?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 3\/221 + -233\/884. What is the closest to -2 in o, 3\/5, -5?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 28889 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 207 + -205. Let l(c) = 1 + 1 - 2*c - 6*c. What is l(m)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express ((3 - 5 + 0)*(-20*u - 74*u - 70*u) + 9*u + 5*u - 4*u)*(0 - 3 - 1) in the form y*u + n and give y.\nAnswer: -1352","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let m(h) = h**2 - 5*h - 22. Let s be m(8). Solve l - 2 = s for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 6\/(-2)*6\/9.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of 111746, 111737, 111728?\n\"Answer: -9*g + 111755","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 79 = s + 5*r, s + 19*r - 17*r - 61 = 0. Which is the fourth smallest value?  (a) s  (b) 0.5  (c) -4  (d) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-2 + 3 + 1)*(-3 + 5 - 1)*(-5 - 4 + 2)*(2*r + 4*r - 7*r) to j*r + v and give j.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let f(t) = -13 + 12*t**2 - 19*t - 18*t - 10*t**2 + 5*t. Let v be f(-9). What is v rounded to the nearest ten?\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 219 - 217. What are the prime factors of ((-26)\/(-1) - 2)*47\/t?\nAnswer: 2, 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/16 of a millennium in months?\nAnswer: 750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let s(x) be the first derivative of 1 + 2*x + 3\/5*x**5 + 0*x**4 + 0*x**2 + 0*x**3. Differentiate s(j) with respect to j.\nAnswer: 12*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 g and 1 z when three letters picked without replacement from {z: 1, n: 3, u: 13, g: 3}?\nAnswer: 1\/380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is -1 >= -48\/5747?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: 16 (base 14) to base 13\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -1 + 6. Suppose -p + q*b + 18 = 0, 2*b - b = -4. What is the hundreds digit of (9 + -1)\/p - -110?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(13)*2*6 + sqrt(13) + (sqrt(78)*-2)\/sqrt(6) + (-1 + sqrt(117) - (sqrt(364)\/sqrt(7))\/sqrt(4)))**2.\nAnswer: -26*sqrt(13) + 2198","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 1256554720?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 10867199 a multiple of 493?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 430245929.\nAnswer: 79, 1319, 4129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 156 + -65. Let q = 90.5 - c. Let g(f) = 5*f + 1. Let m be g(-1). What is the closest to 1\/4 in q, -0.4, m?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(i) = 2*i**2 - 5*i + 2*i**3 + 6 + 7*i**2 + 12*i. Let s = 15966 + -15970. Let k be c(s). Let v(r) = r**3 + 6*r**2 + 3*r + 8. Determine v(k).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 z and 1 r when three letters picked without replacement from {r: 2, z: 11}?\nAnswer: 5\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let f(g) be the second derivative of 12*g**5\/5 + g**3 + g**2 - 112*g. Differentiate f(l) wrt l.\nAnswer: 144*l**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -21 = -4*l - 5. Let u be -1 + 0 + -1 + l. Find the third derivative of -2*q**u - q + q + 2*q**3 wrt q.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -68ab (base 13) in base 16?\nAnswer: -3953","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 5 not equal to -4.5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -l**2 + 305 + 0*l**2 - 163 - 142.\nAnswer: -l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 3*j - 5*x - 1, 0*j - 6*j - 5*x = 28 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is a1aa62 - 128?\nAnswer: a1a935","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*j - 4*s = -52, -3*j + 61*s + 53*s = 96*s + 156 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 30\/2 + (-504)\/(-168). Solve 8*y = -2 + l for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(i) = -69*i**3 + 3*i**2 + i + 1. Is t(-2) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(i) = i**3 + 26*i**2 + 27*i + 54. Let y be z(-25). Solve 0*d + 20 = -4*d, -y*o - 3*d = 27 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 6012901818 to the nearest integer?\nAnswer: 77543","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 28*q - 20896 = 12*q. List the prime factors of q.\nAnswer: 2, 653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -75*m - 90 - 808 = 377 for m.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -0.02 + 0. Let l = y + 0.02. Is l less than or equal to 0.2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 76*b + 2 = 75*b for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 84 and 1487.85.\nAnswer: 124979.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 8\/(-2) - 72\/(11 + -13). Let p = 10 - 6. Suppose p*k = 108 + s. What is the units digit of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -9*z - 36*z + 8*z - 1 - 9*z.\nAnswer: -46*z - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 12 a factor of 109296?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 590 - 361. What is the remainder when u is divided by ((-99)\/42)\/((-81)\/189)*6?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 21\/5 of a decade in months?\nAnswer: 504","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.2883740336 rounded to two decimal places?\nAnswer: -0.29","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -4204 + 3708.04. Let p = z + 496. What is the fourth smallest value in 0.4, 4, -4\/9, p?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(l) = -4 - 10*l**2 + 9*l - 273*l**3 + 113*l**3 + 161*l**3. Give p(9).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*q + 5*q - 4038 = -3786. Let r(a) be the second derivative of 0*a**2 + 0 + 0*a**3 + q*a - 3\/4*a**4. Let l(v) = v**2. Determine r(l(j)).\nAnswer: -9*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let d(h) = 32*h + 1. Give d(-1).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Express -2*o**2 - 3*o + 3*o - 3*o**2 in the form c + p*o + q*o**2 and give q.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*y**4\/5 + 267382*y**3\/5 + 1604346*y**2\/5 + 2406546*y\/5.\nAnswer: -2*y*(y - 133697)*(y + 3)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 93 + -90. Suppose 40*g = 44*g - 32. Which is the nearest to 1?  (a) -2  (b) 0  (c) v  (d) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 247452350 and 41200.\nAnswer: 5150","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 35446071 a multiple of 786?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 61612649 is divided by 81.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 315 is divided by 152\/4 + ((-22)\/(-11) - 11).\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -6*l = -271 + 295 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: ((-7128)\/(-58608))\/(36\/(-8))\nAnswer: -1\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -9.2183124 - -0.2.\nAnswer: -9.0183124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*u + 2 = 4*p + 3, -4*u + 20 = -2*p for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -384 - -385. Suppose 0 = -0*k + 5*k + 385. Is k <= w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express b**2 + 4*b**2 - 4*b**2 + (b - 5*b - 7*b)*(0*b - 6*b + 0*b) in the form k*b**2 + w + p*b and give k.\nAnswer: 67","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let f(b) = -2*b**2 + 7*b - 15. Let h(s) = -s**2 + 7*s - 16. Let j(y) = -6*f(y) + 5*h(y). What is the units digit of j(4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -629\/4*z**2 + 2*z**5 - 105\/4*z - 207*z**4 + 0 - 627\/2*z**3 = 0. What is z?\nAnswer: -1\/2, 0, 105","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 0*v**2 - 2 - 2*v + 6*v**4 - 2*v**3 + v - v**2 as s*v**2 + k*v + j*v**4 + a*v**3 + c and give j.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -2\/13, -4\/9, 2, 1\/11, -84, -5\/46?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -6 + 4. Let p = 2.5 + o. Let h = p + -0.5000016. Round h to six decimal places.\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 7897 is divided by 568?\nAnswer: 513","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve 94*n + 41*n = -72*n - 4761 for n.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let h(c) = -11*c + 94. Let r be h(9). Let u = 18 - 13. Put 1, r, u in decreasing order.\nAnswer: u, 1, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*u + 2 = -26. Let z be (1 - -1) + 13 + -2. Let f = u + z. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 5*x**3 + x**3 + 1 - 86*x**2 + 87*x**2 + 0*x**3 to the form z + d*x + h*x**2 + i*x**3 and give i.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let s(o) = o**3 + 72*o**2 - 27*o + 3340. Determine s(-73).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Expand 409*d**2 + 724*d**2 - 21*d**2 + (-2*d - 1 + 1)*(d - d - 2*d).\nAnswer: 1116*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 1*(4 + -1)*128\/12. Let s = m - 37. Let w = 0.2 - 0.3. What is the closest to w in 2, 0.5, s?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1501851.\nAnswer: 3, 13, 97, 397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Work out -11580 * -321.\nAnswer: 3717180","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 240 minutes before 8:37 PM?\nAnswer: 4:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 49286 a multiple of 38?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let k(t) = 42*t - 338. Let v be k(10). Let s = -41 + 123. Are s and v unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -7, 128211, -3 in descending order.\nAnswer: 128211, -3, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:35 AM and 12:29 PM?\nAnswer: 474","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 2817099491 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: -12 - -4 - (-15 - -1)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 1791, 7288, 16425, 29196, 45595, 65616?\nAnswer: 89253","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -f + n = f - 477, 0 = -n - 5. Suppose -20*h = -84 - f. Solve -11*t = -h*t - 25 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -1309.5 + -185.\nAnswer: -1494.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: 16 - 28 - (-88)\/6\nAnswer: 8\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -4ee26 - 3e?\nAnswer: -4ee64","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (28\/(-60) + 0)*(-6)\/4. Let w(j) be the first derivative of c*j**2 - 7\/20*j**4 + 2\/15*j**3 - 5 - 2\/5*j. Factor w(p).\nAnswer: -(p - 1)*(p + 1)*(7*p - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(u) = u**3 - 5*u**2 + 4*u - 3. Let h = 1 - -2. What is n(h)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -1 + 1.3. Let l be 2\/5 - (-22)\/(-5). Which is the second smallest value?  (a) o  (b) l  (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of (-92708)\/(-66) + 2\/6.\nAnswer: 5, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*k - 176 = 4*i - 5156, 3*i - 3735 = 4*k. What is the remainder when 54 is divided by (-2)\/13 - i\/(-65)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(l) = 19 - 19 - 16 + 14 + 6*l - l. Calculate o(-4).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0*o + 4*n - 25 = 3*o, 8*n - 2 - 58 = -4*o for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Total of 2.08 and 0.053.\nAnswer: 2.133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 581788?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 687 minutes before 3:05 AM?\nAnswer: 3:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 13469224?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1.9524077 + -0.3.\nAnswer: 1.6524077","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let q(n) = n**3 + 6*n**2 - 4*n - 3. Let f be q(-5). Let m = f - 20. List the prime factors of m.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 518754 is divided by 34567?\nAnswer: 249","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5 + 13 = 3*t. What is the remainder when 21 is divided by t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of -8769, -12392, -18429, -26880, -37745, -51024?\n\"Answer: -1207*w**2 - 2*w - 7560","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 13\/12 and 71\/1272.\nAnswer: 1272","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-171)\/216 - (-18)\/27.\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 10 a factor of 70632630?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve i + 12462 - 12511 = -5*k, 33*i = -4*k + 1134 for i.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 260*j - 1430 = 352*j - 418 for j.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -90 - -94. Suppose -2*s - 923 = -7*s + a*i, -5*s + 2*i + 919 = 0. List the prime factors of s.\nAnswer: 3, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2\/(-6) - (-7 + 170\/17 + (-4174)\/1254)?\nAnswer: -1\/209","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(b) = 9*b**3 - 45*b**2 + 143*b + 613. Is x(68) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 2\/29 + 32\/377. Sort -10, 5, k in increasing order.\nAnswer: -10, k, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -3.0999 + 3.1. Round t to four dps.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 40322604739 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 l and 1 p when three letters picked without replacement from {x: 1, p: 5, l: 1, y: 2}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 4121 < 1\/12?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {o: 2, y: 3, w: 2, k: 2}. Give prob of picking 3 y and 1 w.\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let f(n) = -10*n**3 - 5*n**2 - 2*n - 12. Is f(-5) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 5749294027 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 23661?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*h - 19*h + 245247872 = 0. Let s be h\/(-32)*1 - (-1)\/(-4). Round s to the nearest ten thousand.\nAnswer: -480000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(q) = -q**2 + 18*q + 15. Let v be (0 + 1)*(-4)\/(28\/(-133)). Determine w(v).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find h, given that -108*h**5 - 3509565*h**4 - 13939596*h**3 - 17155977*h**2 - 6530886*h + 194952 = 0.\nAnswer: -32492, -2, -1, 1\/36","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 2395 + 541. What is the units digit of s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*p + 398 = -347. What is m in 15*m**5 + 30*m - 115*m**4 - 136*m**2 - 25*m + 295*m**3 + 85*m - p*m**2 = 0?\nAnswer: 0, 2\/3, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*u + 4*n + 3 = 39, n + 51 = 5*u. Suppose -684*r + 510*r = -27840. Suppose -u*h + r = -0*h. What is the highest common factor of h and 192?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 123157 + -2338293\/19. Let g = l + -89. What is the nearest to g in -4, 4\/7, 3\/8?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(z) = 4*z + 7*z**3 - 8*z**3 - 6*z**2 - 3*z - 7*z. What are the prime factors of s(-7)?\nAnswer: 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -2 - -2. Suppose 3*f + 4 = 4*f. Suppose -i = -f*i + 15. What is the second smallest value in -3\/2, i, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(d) = 1032*d + 2. Let m(g) = -1036*g - 1. What is -4*k(w) - 5*m(w)?\nAnswer: 1052*w - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*m - 67 = -5*m + 2*x, -5*x = 5*m - 145. Solve m = f - 6*f for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 1700509 and 34117?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Find n such that n**3\/2 - 19*n**2 - 40*n = 0.\nAnswer: -2, 0, 40","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 1347 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 2\/3  (b) -0.2  (c) -3\/2  (d) 2  (e) 10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of -2295, -4593, -6869, -9111, -11307, -13445, -15513?\n\"Answer: 2*g**3 - g**2 - 2309*g + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let p(t) = t**3 + 5*t**2 + 7*t + 4. Give p(-4).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-72)\/(-30) - 2 - 16\/90. Put -5, 50, r in decreasing order.\nAnswer: 50, r, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (m\/(m\/(m\/(m\/((m\/(m**(-2\/15)\/m))\/m))*m))*m**(-4\/7)\/m)\/(m**1)**(-30\/11) assuming m is positive.\nAnswer: m**(3799\/1155)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 345541726.\nAnswer: 2, 2081, 83023","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((z*z**(-5)*z)\/z)\/(z\/z**5)*(z*z\/z**(2\/7))\/z*z**(-2\/7))\/(z*z\/((z*z*z**(-2\/21)*z*z)\/z)*(z\/(z*z**1*z))\/z*(z\/z**1)**(3\/7)) assuming z is positive.\nAnswer: z**(13\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (0*2\/4)\/(-2). Let w = 3.459 - -0.481. Let j = 0.06 + w. Which is the smallest value?  (a) -0.2  (b) j  (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (2 - 1 - 3)*(-u - u + 3*u) - 2 - 2*u + 2 + (-2*u + 4*u - 5*u)*(1 + 2 - 5) - 6*u + 2 - 2 to k + s*u and give s.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let k(o) be the first derivative of 2*o**2 - 1\/4*o**4 - 26 + 0*o**3 - 2*o. Give k(3).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 1108 and 19107460.\nAnswer: 1108","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -1 + 4. Suppose o + c*z + 4 = 0, 0 = z - 3*z. Let k(y) = y**2 + 5*y + 6. Let h be k(o). Calculate the highest common factor of 14 and h.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 133266*d - 133250*d + 752 for d.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -1.8 and -0.14?\nAnswer: 0.252","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 458 is divided by 33.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-34)\/(-119)*(-1 - 6) + 5. Which is the biggest value?  (a) -2\/11  (b) z  (c) 1\/4  (d) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 10651633 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 110 a factor of 1969?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -5 divided by -688918.\nAnswer: 5\/688918","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 0.1 or -351\/272?\nAnswer: -351\/272","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is (-1)\/(-7) - (15\/(-4))\/((-4648)\/332)?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(l) = l**2 + l - 2. Let h be c(-3). Suppose f = -3, -h*a = 18*f - 15*f + 1. Solve 2*r + 5*k + 6 = 3*k, a*k = -3*r - 5 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 54887 (base 11) to base 9\nAnswer: 131155","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let b(o) = 2*o**2 + o - 2. Let y be b(-2). What are the prime factors of 65\/y*(-17 + 21)?\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -10.9 + 35.4. Let i = d - 24. Which is the biggest value?  (a) -1\/3  (b) i  (c) -1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(i) = -5*i**3 + 3*i**2 + 2*i + 2. Let h be x(-2). Suppose -48*n + h*n = 4. Solve -s + 1 = -n for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0.3 + -21.41\nAnswer: -21.11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 6308 and 747?\nAnswer: 56772","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {q: 3, c: 3, s: 1, m: 5}. Give prob of sequence qsc.\nAnswer: 3\/440","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 3, 31, 107, 255, 499, 863, 1371?\nAnswer: 2047","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((f*f*f**(-1\/4)*f*f)\/((f*f**(-11))\/f))**25*(f**(-1\/3)*f)**(-7\/6)\/((f*f\/(f\/(f\/f**2)))\/f*f)**9 assuming f is positive.\nAnswer: f**(13247\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (c**(-4)\/(c**6\/c*c*c))\/(c**1)**(8\/13)*(c**(1\/4))**(-5\/4)*c\/c**(3\/2)*c**(-5) assuming c is positive.\nAnswer: c**(-3625\/208)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -j - 2*n + 9 = 0, -3*j + 2 + 17 = 2*n. Let g = 83 - -22. Suppose -u - 4*u + 145 = -j*b, -g = -3*u - 3*b. Is u a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: -10020 (base 3) to base 16\nAnswer: -57","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Factor -5*d**4 - 855*d**3 - 36975*d**2 - 36125*d.\nAnswer: -5*d*(d + 1)*(d + 85)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4*w**3\/7 + 5032*w**2\/7 + 20080*w\/7 + 20064\/7.\nAnswer: 4*(w + 2)**2*(w + 1254)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Sort -304, 1, 3, -5 in ascending order.\nAnswer: -304, -5, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -169 = -5*g - 44. Let q = g - 39. Is 3\/(-3) + 3 - q a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 4 (base 6) in base 12?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand -3*f + 3*f - 2*f**2 + (2 + f - 2)*(37 - 37 - 45*f).\nAnswer: -47*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let w(h) = 2*h**3 - 66*h**2 - 13*h - 46. What is the tens digit of w(34)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 l when three letters picked without replacement from {l: 13, d: 3}?\nAnswer: 143\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 q, 1 h, and 2 m when four letters picked without replacement from {m: 2, h: 1, y: 1, q: 1, o: 2, n: 1}.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 14 - 17\/(-204)*-171.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 1358402?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let b(c) = 4*c**2 - 85*c + 19292. What is the ten thousands digit of b(0)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 3226000 is divided by 23?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let w(y) = -9685*y - 3999907. What is w(-413)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-22)\/40 + ((-672)\/1664 - (-2)\/13). What is the third biggest value in r, -0.2, 0.07?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-2 + sqrt(468) + -2 + sqrt(468) + sqrt(468) + 4 - -4*(2*(-2 + sqrt(468)) + sqrt(468)))*6)**2.\nAnswer: -103680*sqrt(13) + 3800016","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -306630 = -92*x - 305802 for x.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*n = -5*i + 23540, 7*i = 2*i + 5*n + 23500. Let x be (-78)\/(-1365) - 1985679\/420. Let d = x + i. What is the common denominator of 43\/16 and d?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 28*d**3 - 120*d**2 + 32*d.\nAnswer: 4*d*(d - 4)*(7*d - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let q(r) be the first derivative of 0*r**5 + 0*r**2 + 0*r + 0*r**3 + r**4 + 62 - 1\/6*r**6. Factor q(y).\nAnswer: -y**3*(y - 2)*(y + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -1 - -5. Suppose -4*g = 0, t*n + 3*g - 6*g = 0. Is 14 a factor of (-65)\/(-2 - n - -1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(z) = -z - 3. Determine r(-8).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 12336 (base 7) in base 10?\nAnswer: 3261","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 6542.\nAnswer: 2, 3271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 o when three letters picked without replacement from {y: 3, o: 15}.\nAnswer: 455\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let s(f) be the second derivative of -f**4\/12 + 3*f**3\/2 + 5*f**2 - 2*f + 4. Give s(10).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {q: 2, b: 4, p: 1}. What is prob of sequence bpq?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Expand -3*j - 2*j + 6*j + j - j + j + 2*j - j + 0*j - j + 0 + 0 + (-2*j + 3*j + j)*(-1 + 5 - 2) - 10*j + 3*j - 4*j.\nAnswer: -5*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let u(x) = 4*x**2. Let k(r) = 51 - 12*r - 51. Calculate u(k(f)).\nAnswer: 576*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Put -2, 35, 0.2, 2682, 0.4 in descending order.\nAnswer: 2682, 35, 0.4, 0.2, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {f: 1, y: 1, l: 1, u: 1, s: 1}. Give prob of sequence ylu.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) -4\/31  (b) 3  (c) -4\/25  (d) 1\/4  (e) -1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 248578930 and 850?\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: -8 + -10 + -17 + 11\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 8 + -3. Suppose 3*u + 0*u - 8 = 2*s, o*s = 3*u - 2. Suppose 10 = n + s. What is the least common multiple of n and 6?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in 0, 2\/11, 0.27, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: 4 (base 9) to base 6\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 53618 to the power of 1\/5, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3, 16, -184 in ascending order.\nAnswer: -184, 3, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -1\/1511 + 3027\/7555. Let k = 7.3 - 7. What is the nearest to -1 in k, 4, u?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(h) = 9*h**2 - 1. Let q be k(1). Suppose -l + 3*x = l - 89, 5*l - 3*x = 209. What is the highest common divisor of q and l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(u) be the second derivative of u**3\/2 + 41*u**2 - 112*u - 14. Calculate x(-27).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(x) = 63*x**3 - 3*x**2 - 4*x - 6. Let y be g(5). Let w = y - 4274. Round w to the nearest one thousand.\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(q) = -400*q - 13596. What is w(-34)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 2\/((-20)\/8 - (-1 + -2)). Suppose 3*n + 2 = -0*d + q*d, 11 = -d - 5*n. What is the closest to -3 in 0.2, d, 4?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 315 minutes before 11:20 AM?\nAnswer: 6:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let u(s) = -5*s. Let v = 4 - 11. Let y = 6 + v. Calculate u(y).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -4  (b) 0.3  (c) -1\/125  (d) 1\/31  (e) -11.2  (f) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -3 + 2. Let r(s) = s + 3. Let i be r(7). Suppose 5*c + i = 5*j, 3*c - 8 = -5*j + j. Which is smaller: c or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*d = 4*t - 3*t - 25, 3*t = 4*d + 65. Suppose -3*i - t = 0, h + 3 = -2*i - 2. What is the highest common factor of h and 55?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: (160\/560)\/((-16)\/504)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 6*1*sqrt(21)\/sqrt(3).\nAnswer: 6*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from akcpkcpcac. Give prob of picking 2 a and 1 c.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:49 AM and 2:19 PM?\nAnswer: 270","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Round 92.21693568 to the nearest 10.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Convert -186355 (base 9) to base 13.\nAnswer: -40b7a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*c + 5*h - 19 = 0, -c - 4*h + 3*h + 3 = 0. Let i = -40.14658 - -0.14658. Which is smaller: i or c?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(k) be the first derivative of k**6\/360 - k**5\/60 + k**4\/24 - 8*k**3\/3 - 19. Let v(w) be the third derivative of y(w). Determine q so that v(q) = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 81*c**2*m**3 + 56*c**2*m + c*m + 2*m**3 wrt m.\nAnswer: 486*c**2*m + 12*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Does 22 divide 2101275770?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (10\/4 - 3)\/2. Suppose -3*f + 0*f = -147. Let h = -293\/6 + f. Sort x, 2\/15, h in increasing order.\nAnswer: x, 2\/15, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from laaaallall. Give prob of sequence aaa.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -4, 19, 2, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 70584 and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*i + 19 = -2*b + 5*i, b - 3*i = -11. Let t(p) = 15*p**2 + 4*p + 9. Let n be t(8). Find the common denominator of 7\/16 and (-2)\/b - n\/84.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -2, -5, 12, -1, 1 in descending order.\nAnswer: 12, 1, -1, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -12024*n - 600*n + 356*n.\nAnswer: -12268*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((840\/63)\/40)\/(2\/(-12)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 2\/7  (b) -1.1  (c) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let a(j) = -j**3 + j**2 + 31. Suppose b - 2*k - 2 = -3*b, -b - k - 1 = 0. What are the prime factors of a(b)?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -2868 + 2867.8. Which is the nearest to n?  (a) 0.4  (b) 3  (c) -0.054  (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -666429774 plus -5?\nAnswer: -666429779","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose m + 16 = 4*v, -2*v + m = -5 - 1. Let y(s) = 2*s - 16. Suppose -n + 8 = -0*n. Let d be y(n). Solve -v*x - 2 - 13 = d for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(144)*1 - sqrt(16))\/(6*-3*sqrt(8)) - (0 + ((1*sqrt(22)*-2)\/(1*sqrt(11)*-6))**2).\nAnswer: -2\/9 - sqrt(2)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -2 + 4. Let d = 2\/3 + 0. Let o(z) = -z**2 - 16*z - 52. Let f be o(-5). Which is the third smallest value?  (a) q  (b) f  (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 31 + -27. Let w = -1 - -1. What is the closest to w in h, 1\/3, 0.5?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (d*d**(-2))\/d*d*d**(-8)*(d**(-1\/2))**(-12\/7) assuming d is positive.\nAnswer: d**(-57\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*d**3 + 0*d**3 - 3*d**4)*((1 - d - 1)*(1 + 2 - 4) - 3*d + 3*d + d).\nAnswer: -6*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -0.53 - -123.53. Let g = -316.1 - -168.7. Let h = g + n. What is h rounded to the nearest 10?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*p = -12 + 3. Let c(r) = -2*r + 4. Give c(p).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -81 + 49. Let w = h - -31.95. Let t = w + 0.45. Which is the second biggest value?  (a) 1  (b) t  (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1097 is divided by 450?\nAnswer: 197","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1 + 46185*u - 46183*u + 1.\nAnswer: 2*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Convert 16.18822 days to nanoseconds.\nAnswer: 1398662208000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in -2\/3, -58, -0.1, 1\/4?\nAnswer: -58","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -4 + 7. Let l(c) = -c + 6. Let r be l(j). Let a = -16 + 16. What is the closest to a in 5, r, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1\/4, 4\/77, -2, -1\/8, -6, 2 in decreasing order.\nAnswer: 2, 4\/77, -1\/8, -1\/4, -2, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 80.88 or 1147?\nAnswer: 80.88","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let s(p) = -p**2 - p - 1. Let k be -15 - (0 - 1) - 2. Let m = k - -23. Suppose 2 + m = -3*r. Calculate s(r).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((f*f*f\/(f\/f**(2\/21))*f)\/f)\/f*f**(5\/2))\/((f*f**(1\/6))\/(f*f**(1\/14))))**(-48) assuming f is positive.\nAnswer: f**(-168)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 1\/2  (b) -2.6  (c) -2  (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let j(b) = -3*b**3 + 2*b**3 + 2*b**3 - 2 + 2*b**2 + 3 - 2*b. Let z be j(1). Solve 4 - 6 = -z*x for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 14181*k + 2 + 11740*k + 8*k**2 - 7*k**2.\nAnswer: k**2 + 25921*k + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 56245*v**3 - v**2 + 8*v - 1464983 wrt v?\nAnswer: 168735*v**2 - 2*v + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 109, 122, 153, 208, 293, 414, 577, 788?\nAnswer: 1053","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 30 = 6*b - 0. Is b smaller than 9\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -43 divided by -3252268.\nAnswer: 43\/3252268","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((2 + sqrt(1539))*-3)**2*1.\nAnswer: 324*sqrt(19) + 13887","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: ((-27)\/3)\/(8*18\/96)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 189996300 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 1029171*l**2 - 149*l - 1161?\nAnswer: 2058342","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is -131856597 greater than -131856597?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.1591 * -91.\nAnswer: -14.4781","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.22 times -1604213?\nAnswer: 352926.86","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 51 + -36. Let k = y + -4. Suppose 8 = -n + 2*n. What is the smallest common multiple of n and k?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -57 + 62. Calculate the remainder when 16 is divided by c.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(i) be the first derivative of -2\/5*i**5 - 1\/12*i**4 - 2 - 1\/2*i**2 - 2*i + 1\/3*i**3. Let c(s) be the first derivative of k(s). Determine c(1).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 72 and 164?\nAnswer: 2952","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let v(o) = -o**2 + 0*o + 0*o**2 + 0*o**2 + 1 - 3*o. Let t be v(-3). Suppose -6*n + 23 + t = 0. Solve n*z - 14 = 2*z + 2*m, 5*z - 3*m = 25 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*g - 21 = n, 0 = -2*g - 3647*n + 3645*n - 10 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1764, 516, 14 in increasing order.\nAnswer: 14, 516, 1764","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -436200 + 6*a**2 + 436200 + 5*a**2 - 5*a**2 - 2*a**2 - a**2.\nAnswer: 3*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.1 times -34951?\nAnswer: 3495.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -3*q**3 + 7*q**2 + q**3 + q**3 - 3*q**2 to the form j*q**3 + m + f*q + k*q**2 and give j.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 14 - (53 + -28 + -4).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Sum 21.57 and 98285367047.\nAnswer: 98285367068.57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Convert -13341 (base 7) to base 10.\nAnswer: -3606","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -8*t + 3*t = -25 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of -2477, -4957, -7437?\n\"Answer: -2480*o + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence kkyy when four letters picked without replacement from {k: 2, y: 2, r: 2}.\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Product of 0.076 and -3.\nAnswer: -0.228","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve 176*g - 1097*g = -28394 - 36997 for g.\nAnswer: 71","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -1016 - -1015.999997314. What is n rounded to 7 dps?\nAnswer: -0.0000027","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(m) be the first derivative of 2*m + 1\/3*m**3 - 33 - 3\/2*m**2. Give n(2).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -3\/16?  (a) -1  (b) 5  (c) -0.3  (d) -1.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 50786?\nAnswer: 2, 67, 379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 40526031 to the power of 1\/2, to the nearest integer?\nAnswer: 6366","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let q(x) be the first derivative of 0*x + 0*x**2 + 0*x**4 - 6\/5*x**5 - 45 + 0*x**3 - 7\/2*x**6. Factor q(z).\nAnswer: -3*z**4*(7*z + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(f) = 19*f**2 + 1. Let y be x(-1). Suppose 4*p + 5 = 25. Suppose -p = 3*j - y. Calculate the highest common factor of j and 25.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0 + (80\/8)\/(-80)\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -2 + 8. Let n be -1*(2 + -22)\/2. Differentiate -n - c + 15 - s wrt s.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 104 minutes after 4:33 PM?\nAnswer: 6:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {s: 1, e: 1, u: 1, j: 3, m: 1}. Give prob of sequence seu.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Does 7830 divide 371854530?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let l(i) = 12*i - 29. Let v(a) = -62*a + 144. Determine 11*l(u) + 2*v(u).\nAnswer: 8*u - 31","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 118808 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let d(v) = -11649*v - 11744. What is d(-1)?\nAnswer: -95","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -6505 + 6504.7. Let c = 9 + -9. What is the second biggest value in -0.1, i, c, -1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -4192\/191 greater than or equal to -22?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 1110 - -11001000?\nAnswer: 11010110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*b + 8791 = 2*l, -11*b + 5277 = -8*b + 2*l. What is the units digit of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 137\/132 and -41\/4488?\nAnswer: 4488","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 3 + -2 + 2 + 0. Suppose 4*y - 40 = -s + 20, -p*y - 98 = -2*s. Is s a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(j) = 228*j - 13. Let b(q) = -227*q + 16. Calculate -4*b(p) - 5*z(p).\nAnswer: -232*p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -6 + (-7 - (-5 - (7 + 0 + (173 - 180)))).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Divide 19557678 by 3.\nAnswer: 6519226","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 346662 is divided by 237?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -4 + 23. Let z be (-16)\/(-3) - 4\/(-6). Calculate the remainder when a is divided by 1\/(z\/(-20))*-3.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 1480975604?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*b = -10*b + 445. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(m) = m**2 + 7*m - 108. What is h(-9)?\nAnswer: -90","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(891) - (sqrt(891) + 0 - sqrt(891))**2) + -3 + (sqrt(891) - ((sqrt(891) - (1 + (sqrt(891) - (sqrt(891) + 2*sqrt(891))))) + sqrt(891))**2))*-5.\nAnswer: -450*sqrt(11) + 71300","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Find g such that 3*g**3\/5 - 18*g**2\/5 - 21*g\/5 = 0.\nAnswer: -1, 0, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 5.445 + -0.445. Put -18, -0.01, -0.4, c in ascending order.\nAnswer: -18, -0.4, -0.01, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: 4 divided by -130787\nAnswer: -4\/130787","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -70 - 7*y**2 + 70 + (5*y + 0 + 0)*(-3*y - 2*y + 3*y) to s + v*y**2 + f*y and give v.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 47.8 - -0.2. Let d = p + -47.79. Let i = -0.11 + d. Do i and -2 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -931 - -1048. What is the remainder when y is divided by 11?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 0.1, 1, 1\/536, -8\/9, -2\/19?\nAnswer: 1\/536","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4*x**3 - 5420*x**2 + 819852*x + 2508444.\nAnswer: 4*(x - 1181)*(x - 177)*(x + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 198 + 2011 + 439 - 3552*w + 1609 wrt w.\nAnswer: -3552","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -157\/208698 and -79\/4.\nAnswer: 417396","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Express 7 - 27 - 1672*f + 10 + 10 as s*f + d and give s.\nAnswer: -1672","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let y(b) = -2*b**2 - 8*b. Let n(v) = -v**3 - 28 - v + 58 - 28 + 6*v**2. Let s be n(6). Let r be y(s). Solve 7 = -2*d + 3*h - 2, -2*d + h + 1 = r for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(a) = 5*a**2 + 9*a + 7. Determine b(-3).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let d(m) = 4085*m**4 - 9*m**2 + 3653*m + 9. Let z(y) = -4085*y**4 + 8*y**2 - 3650*y - 8. Let f(n) = -8*d(n) - 9*z(n). Find the second derivative of f(o) wrt o.\nAnswer: 49020*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 186389 to the nearest integer?\nAnswer: 432","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (2 + 2)*(-2)\/(-4). Suppose -3*u = -r - 12, 21 = 4*u - 5*r + o*r. Let y(h) = -h**3 - 2*h**2 + 2*h. Let a be y(-3). Solve -u = -a*b - 15 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (15*s - 6*s + 25*s)*(-2 - 1 - 1).\nAnswer: -136*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 3\/2 or 0.046?\nAnswer: 0.046","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence cppc when four letters picked without replacement from cccpppc.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 57038605?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 21 divided by 11.\nAnswer: 21\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let r(x) = -10*x**3 - x**2 - x - 1. Suppose -5*i - 2 = 3. Let d be i*(0 - 1)*-1. What is the units digit of r(d)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 5, -24.3, 1565\/4?\nAnswer: 1565\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 6079047 minus 6.214?\nAnswer: 6079040.786","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 98539.\nAnswer: 7, 2011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 138060*f + 0 + 0.\nAnswer: 138060*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -n + 3*n. Suppose -7*g = -21 - n. Suppose -y + 4*i = 7, -g*y + i - 2 = -3. Solve 2 = -o + y for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 160460671.\nAnswer: 7, 17, 1348409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 321 minutes after 5:24 PM?\nAnswer: 10:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 237777*j - 237744*j + 66 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*d + 2*b = -6, -d + 28 = d + 4*b for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 354 minutes after 4:35 PM?\nAnswer: 10:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let s(x) = -8*x**2 - 2*x - 2. Let n be s(3). Let d = -34 - n. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 6179 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 1 + 2234253141?\nAnswer: 2234253142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Total of -16 and -146.\nAnswer: -162","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 2794 and 9300?\nAnswer: 12992100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 787973 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let p(d) = 46*d**3 - 42*d**2 + 38*d + 2. Calculate the remainder when -1 + 1*2*42 is divided by p(1).\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 37004 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: Evaluate (-411)\/(-2)*(-2024)\/3036.\nAnswer: -137","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 27 + (-32 - -42) + -2.\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (1\/2)\/((-4)\/12).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose s + 3*o = -78, -4*s - 8*o - 261 = -13*o. Let h = -195 - -124. Let g = s - h. Solve g*l + 4 = -2*l for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -7247*l - 4747*l + 4 + 342*l - 4 to the form r*l + v and give r.\nAnswer: -11652","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let t(i) = 5 - 2*i + 2*i + i. Let f be t(-5). Suppose f*k - 4*k = -40. What are the prime factors of k?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -27134*r + 6*r**2 - 30*r**2 + 27134*r + 18*r**2.\nAnswer: -6*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of -748738, -2994928, -6738578, -11979688, -18718258, -26954288?\n\"Answer: -748730*n**2 - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of 16489735, 16489741, 16489747, 16489753?\n\"Answer: 6*n + 16489729","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Do -14502 and -14496 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2, 1\/7, 2\/3, -19 in descending order.\nAnswer: 2\/3, 1\/7, -2, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 22323.94 litres?\nAnswer: 22323940","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 1 - 0. Solve -3*o + f = 4*q - 0, -3*q - 8 = 4*o for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 45 = 83*c - 128*c for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence bb when two letters picked without replacement from bbbfbbbbbpbr.\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -1.2 + 5. Let x = -0.2 - z. Let l = -101 - -96. Which is the closest to 0?  (a) 2  (b) x  (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is thirteen twelths of a year in months?\nAnswer: 13","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Does 20 divide (0 - -13890) + (-27 - -33 - -4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 156398937 a multiple of 589?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (y\/(y*(y*y**(-3\/5))\/y)*y)\/y**(-2\/21)*(y*y**(-2\/7)*y)\/y**(-1\/7)*(y**(1\/3)\/y)**48\/(y**5*y*y*y*y\/(y**(-2\/3)\/y*y)*y*y*y) assuming y is positive.\nAnswer: y**(-1439\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 41 a factor of 166?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4 = 4*s - 0*f + 3*f, -s = -3*f + 16. Let u be 2 + s + 13 - 1. Suppose 5*a = u + 20. Solve 0 = j + j + a for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 20272.87 to the nearest 10.\nAnswer: 20270","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let r(u) = -u**3 + 9*u**2 - 17*u + 73. Let k be r(8). What is the third biggest value in 2, -1.8, k?\nAnswer: -1.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4*t**3 - 2872*t**2 + 2868*t.\nAnswer: 4*t*(t - 717)*(t - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5262 = -2886*m - 510 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let v(m) = 159*m - 23. Let z(s) = -28*s + 4. Let q(c) = -6*v(c) - 34*z(c). Suppose 2*o = 3*o - 24. Suppose 2*t - 6*t + o = 0. Determine q(t).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-60)\/(-112)*(-152)\/((-97280)\/5824)?\nAnswer: 39\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is -10940571 not equal to -10940569?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let b(l) be the second derivative of 5*l**3\/3 - 8*l. Let q(p) = 2*p. Give b(q(y)).\nAnswer: 20*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*b - 0*b - 70. What is the remainder when 39 is divided by b?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -3*j**4 + 0*j**3 + 54*j - 13*j**3 + 12*j**3 - 2*j**3 wrt j.\nAnswer: -36*j**2 - 18*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(u) be the second derivative of 32*u**5\/5 - 124*u**3\/3 + 159*u. What is the second derivative of d(y) wrt y?\nAnswer: 768*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sum 0.8754 and -358.\nAnswer: -357.1246","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 10  (b) 4\/11  (c) 7  (d) -2  (e) 0.5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 293 minutes after 1:31 AM?\nAnswer: 6:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of 9, 25, 75, 177, 349, 609?\n\"Answer: 3*k**3 - k**2 - 2*k + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let b(f) = 15*f**3 - 358*f**2 - 44*f - 59. Give b(24).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 32*x = 24*x + 23032. Suppose 7*f - x = 3379. What is the tens digit of f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 383181 is divided by 613?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let r(u) = -u**2 + 35*u + 32. Let a be r(34). Let z = -70 + a. Which is greater: z or -1\/35?\nAnswer: -1\/35","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -485837*r**4 + 644130*r**2?\nAnswer: -11660088*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let y(j) be the first derivative of 5*j**2 + 41131. Suppose -5*u - 3 = -w, 6 = u + 3*u + 2*w. Let g(s) = u + s + 0. Determine g(y(f)).\nAnswer: 10*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 3 + 9. Let b be (x\/8)\/((-1)\/(-2)). Solve -5 = 2*v + b*v for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -1021\/570 - 1\/114. Let j = -359 - -358. Put j, -23, -0.4, y in descending order.\nAnswer: -0.4, j, y, -23","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be ((6\/8)\/(-1))\/(91\/24388). Let n = d - -2411\/12. What is the third biggest value in 5, n, -2\/13?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -1\/45  (b) -0.19  (c) -0.3  (d) 6\/5  (e) 1  (f) -14  (g) 2.9\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let a be -17 - (2\/(-2) + -2). Let l = a + 28. Suppose -9*p + 13*p = 12. Calculate the remainder when l is divided by p.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-11*g**3 + 25 - 25)*(-5*g - 3*g + 6*g).\nAnswer: 22*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 60 and 2120.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let s(r) = r**2 - 13*r - 26. Let q be s(14). Let h(v) = v**3 + 12*v**2 + 2*v + 13. Let y be h(q). Is 3*y\/6*(-156)\/6 a multiple of 41?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 115 + -62. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 10 - 6. Let t be (-2)\/(87\/(-30) + (-5)\/(-2)). Suppose t*y - 6 = j. What are the prime factors of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find t such that -54*t**5 + 468*t**4\/7 + 132*t**3\/7 - 160*t**2\/7 - 58*t\/7 - 4\/7 = 0.\nAnswer: -1\/3, -2\/21, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -442.428 + 0.428. Let g = k - -441.8. Which is the nearest to -2?  (a) -1\/2  (b) 11  (c) g  (d) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 30*b + 493755 = 33*b. Suppose -4*l + 225664 = 4*u, -3*u - b = -5*l + 117471. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -126*y**2 - y - 276.\nAnswer: -252*y - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 20*y**2 + 36*y**2 + 3*y - 2*y + 0*y.\nAnswer: 56*y**2 + y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -23098284 divided by 349974.\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Put 115, 2, -2, -4280 in ascending order.\nAnswer: -4280, -2, 2, 115","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-5 - 2*l + 0 + 3)*(3*l - l + l).\nAnswer: -6*l**2 - 6*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1*(-1 + (6*((2 + sqrt(931) + -2 + sqrt(931) - sqrt(931)) + 4) + 2)**2).\nAnswer: -34191 - 2184*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 5552 - -17?\nAnswer: 5569","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let t(i) be the first derivative of -i**2\/2 + 2*i - 6. Let z be t(-13). Let b be (-10)\/(-3)*z\/10. Solve -16 = -b*v - u, -4*u - 16 = -4*v - 8*u for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.12 take away -71614784769?\nAnswer: 71614784769.12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -g + g - 3*g + 6*g - 36 + 0*g.\nAnswer: 3*g - 36","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 41 minutes after 3:09 PM?\nAnswer: 3:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: (4\/24)\/((-3)\/18)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 z when two letters picked without replacement from xxazzbs.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: 116 divided by 4\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 1 + -1. Let u = 1\/5 - -11\/20. Put t, u, 2 in decreasing order.\nAnswer: 2, u, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 m, 1 t, and 1 j when three letters picked without replacement from {v: 1, j: 1, p: 1, t: 1, m: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:54 AM and 10:23 PM?\nAnswer: 689","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*h + n = -2, 0 = -15*h + 19*h - 2*n - 4 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 89098927 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -0.12 - -0.32. Let q = -0.1 - -0.1. Let d = 1 - q. What is the nearest to 0.1 in f, d, -1?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 174 - 234 = -15*v for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let h(j) = j + 16. Determine h(-7).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.000007127 rounded to six dps?\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -12 - -1302100?\nAnswer: 1302022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-47 - 0) + (57 + 0 - (-498 + 549)).\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 0 greater than -625\/836472?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Put 2\/9, -8, 1\/4 in decreasing order.\nAnswer: 1\/4, 2\/9, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let 3*x**2\/7 - 3151986*x\/7 + 8104968 = 0. What is x?\nAnswer: 18, 1050644","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 239585 is divided by 1479.\nAnswer: 1466","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {m: 1, k: 1, z: 1, a: 1, j: 1}. What is prob of picking 1 a and 1 j?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 1243, 6387, 20349, 47539, 92367, 159243?\nAnswer: 252577","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 163 or 81759\/502?\nAnswer: 163","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of 138, 281, 428, 585, 758?\n\"Answer: z**3 - 4*z**2 + 148*z - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-10 + 6 - -6) + -2. Solve j = -2*m + 7*m - 15 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -2 in -4, 3, 3110, 3\/4, 2, 120?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -72 divided by -1.\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*d - u + 350 = -6*d, u + 1050 = 3*d. Is 13 a factor of (-2)\/(-6) - d\/(-3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 636.9015 millennia to centuries.\nAnswer: 6369.015","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: -96 (base 13) to base 5\nAnswer: -443","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let d(y) = y**3 + 16*y**2 + 15*y + 6. Let u be d(-15). Suppose -l - u = 3*p, 2*l + 0*p - 2 = p. Let 1\/5*t**2 + 1\/5*t + l = 0. What is t?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (8\/2 - -11)\/(1 - 35\/(-10))?\nAnswer: 10\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2\/(1*(4 + (3 - 6))).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 36 + 1.7840439.\nAnswer: 37.7840439","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-3*(2*sqrt(294)*4 + sqrt(294)))\/((sqrt(2) + sqrt(2)*-2)*4 + sqrt(14)\/(sqrt(7) + sqrt(7) + sqrt(14)\/sqrt(2))).\nAnswer: 567*sqrt(3)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 13157 - 1997 = 5*h. Suppose 5*f - 2*y - 11075 = 0, f + 27*y - h = 24*y. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -3.915 - 0.085. Let z = 31 + -45. Let y = x - z. What is the fourth biggest value in y, 2, 0.3, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify v**22\/v**(-4) assuming v is positive.\nAnswer: v**26","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let q(c) = 29*c - 4. Let j(v) = 117*v - 18. Let g(x) = -4*j(x) + 18*q(x). Let r(m) = 2*m. Determine g(r(o)).\nAnswer: 108*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 16829 is divided by 33?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 50916730?\nAnswer: 2, 5, 43, 118411","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is -54 (base 9) in base 12?\nAnswer: -41","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let v(a) = 842*a - 66. Let w be v(5). What is the common denominator of 2\/(-7) + (-19795)\/w and -59\/276?\nAnswer: 1104","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 59.4203 + -0.2703. Let r = -0.0184 + -58.9816. Let a = r + k. What is the biggest value in -5, 2\/11, a, 0?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 1488?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in 5\/4, 2, 4, 1?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 21*-438545.\nAnswer: -9209445","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let y(a) = -3*a**4 + 17*a**3 - 12*a**2 - 6*a - 1096. Let r(m) = m**4 - 2*m**2 - m + 1. Let b(f) = 6*r(f) - y(f). Find the first derivative of b(q) wrt q.\nAnswer: 36*q**3 - 51*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 474 is divided by 34?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:39 PM and 12:19 AM?\nAnswer: 40","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 6 + (11 - 3) + -12 + 41 + -3?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -31 divided by 6586?\nAnswer: -31\/6586","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Does 20 divide 50780?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let o(h) = 8*h - 83 + 0*h - 3*h - 15 + 9*h. Let w be o(7). What is the nearest to 0.1 in -3, 3, 11, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 1803*j**5 - j**4 - 2*j**3 + 5019*j**2 + 1 wrt j.\nAnswer: 108180*j**2 - 24*j - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 98 + 1934180671.4.\nAnswer: 1934180769.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-25652)\/(3 - 1)*-27569. Suppose 2*v - t = -7*j + 11*j, -5*j - 5*v - 442000015 = 0. Round j to the nearest 1000000.\nAnswer: -88000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -16345275 to the nearest 10000.\nAnswer: -16350000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 c when three letters picked without replacement from hkhchcccc.\nAnswer: 5\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 108028110?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 1386 and 39548943?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -3\/14 in 5, -6, 0.04, 16?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is -246 divided by -246?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 0*((-22)\/(-11))\/(6\/3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let n(w) = -w**2 + 42*w - 1. Let k(t) = 5*t + 98. Let f be k(-16). Is 46 a factor of n(f)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (1\/3)\/((-71)\/(-6) - 11).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 48326 (base 15) to base 14.\nAnswer: 5dc79","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 136982, 273958, 410924, 547874, 684802?\nAnswer: 821702","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -20 - -14. Let v be (-51)\/(-60) - y\/(-10). Put -2, 0.5, v in decreasing order.\nAnswer: 0.5, v, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let -1240\/11*l**2 - 96\/11*l + 0 - 50\/11*l**4 - 504\/11*l**3 = 0. Calculate l.\nAnswer: -6, -4, -2\/25, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*d - 2 = 4. Let g = -7 + d. Which is the second biggest value?  (a) 3\/2  (b) -0.4  (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 0.1078 - -3.8922. Sort o, 6\/13, -4\/7, -0.4 in descending order.\nAnswer: o, 6\/13, -0.4, -4\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2808.736 rounded to the nearest 10?\nAnswer: 2810","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 27596978?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let t(o) = -3 + 1 + 3 - o**2 + 0 - 6*o. Let z be t(-5). What is the tens digit of 10*z + (2 - 1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 4*i**2 + i**2 + i**2 + 2 - 4*i**2.\nAnswer: 2*i**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Express (-22 - 7 + 8 + (2 - 4 + 3)*(3 + 1 - 6))*(7 - 8*c - 7) as b*c + m and give b.\nAnswer: 184","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is -1 less than -2\/6067?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Find n, given that -4*n**2 + 55318276*n + 55318280 = 0.\nAnswer: -1, 13829570","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 2*a*z**2 - 98*a*z - 11*a - 10502*z**2 wrt a.\nAnswer: 2*z**2 - 98*z - 11","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -1 + 1. Suppose 4*r + 3 + 9 = 4*w, 2*w - 5*r + 6 = t. Suppose 0 = -4*p - w + 39. List the prime factors of p.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*o + 20 = 5*m + 5, -m - 3*o + 5 = 0. Let u = m - -3. What is the greatest common divisor of 40 and u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 267218836 to the nearest integer?\nAnswer: 644","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let k(q) = -24*q - 13. Let r(l) = 8*l + 4. Let z(y) = -2*k(y) - 7*r(y). Suppose 0 = 4*i - i - 120. Calculate the remainder when i is divided by z(-2).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 17, -267, -601, -985?\nAnswer: -1419","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 921?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -p + 3*f = -0*f - 7, 2*f + 4 = 0. Let z(o) = 2718*o**2 + 3*o - 3. Let s be z(p). Suppose -3*d + s = -552. Round d to the nearest one hundred.\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 1174 - 3?\nAnswer: 1171","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 213 a factor of 35997?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Does 82 divide 9348?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of -133, -136, -137, -130, -109, -68?\n\"Answer: q**3 - 5*q**2 + 5*q - 134","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {k: 2, x: 6, o: 1, q: 7, l: 1}. What is prob of picking 1 o, 2 x, and 1 q?\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -1.5 + 1.436. Round f to two decimal places.\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 64 is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 971 is divided by 101.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*d = 8*d + 4*p - 796, 5*d = -4*p + 998. Let l = -185 + d. What is the remainder when 370\/15 + 2\/6 is divided by l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(q) = -q**3 - 5*q**2 + 5*q - 6. Let x be f(-6). Suppose -5*s + s = x. Solve -w - 3 = -s*w for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1929 is divided by 314.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 1187 - 630. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -24*r + 4 - 27*r - 5 + 39*r + 3*r**3 in the form u*r**2 + b + o*r**3 + s*r and give o.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 784 + -783.97. What is the biggest value in b, 2, -0.03, -3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4 = b - 2. Let i(k) = 2*k - 6. Let s be i(5). Suppose -4*w + 5*w = -2*c + 4, -s*w + 16 = 4*c. What is the greatest common divisor of b and w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*l - o + 9231 = 0, -1158*o = -l - 1159*o + 4615. Calculate the remainder when l is divided by 66.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -16 + 242. What are the prime factors of l?\nAnswer: 2, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*j**3 - 16416*j**2\/5 - 4494699*j\/5 - 1795254\/5.\nAnswer: -3*(j + 547)**2*(5*j + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -2*q**2*v*x**2 - 6*q**2*x**2 - 6339*q**2*x + q*v*x**2 + q*v*x + 62*q*v + 2*q*x**2 - q*x + 8*v*x**2 + 32*v*x wrt q.\nAnswer: -4*v*x**2 - 12*x**2 - 12678*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-6*z - 83 + 83)*(19820 + 2*z - 39504 + 21352).\nAnswer: -12*z**2 - 10008*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of 42, 78, 110, 138, 162, 182, 198?\n\"Answer: -2*k**2 + 42*k + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of -3778, -3697, -3616, -3535, -3454, -3373?\n\"Answer: 81*l - 3859","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 2\/7 in 3\/598, -0.4, -2?\nAnswer: 3\/598","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 1 + -3 - ((-6250)\/275 + 21).\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(70)*1*-4)\/(sqrt(40)*-3) + (sqrt(63)\/(sqrt(9)*4) - (0 + sqrt(7)*4 + sqrt(7))).\nAnswer: -49*sqrt(7)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -t - 2*t + 3. Suppose 7 = -v + 4*h, 2 = -2*v - 2*h + 18. Suppose -5*x - 3 = 2*a, -3*x = -v*a - t + 9. What is the units digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (c**7\/c*c*c*c**(-5))**(-11) assuming c is positive.\nAnswer: c**(-33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (m\/(m**(2\/7)*m*m*m)*m)**17 assuming m is positive.\nAnswer: m**(-153\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 11*f**2 - 1 - f**2 + 1 to the form d + h*f**2 + c*f and give h.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.020556 rounded to 4 decimal places?\nAnswer: 0.0206","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let l(j) = -6*j**2 - 5*j + 12. Let a(d) = -5*d**2 - 5*d + 11. Let y(i) = 7*a(i) - 6*l(i). Let m(q) = 2*q - 2. Determine -5*m(h) - 2*y(h).\nAnswer: -2*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 14*v**2 + 15*v**2 - 52*v**2 + 22*v**2.\nAnswer: -v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -15 + 15.0000074. What is g rounded to six dps?\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 54\/10 + 10\/(-25)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 691 minutes after 6:37 AM?\nAnswer: 6:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 127\/2613396 and -63\/1780.\nAnswer: 13066980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -y + 2 = -5*a, -3*a = 2*a - 5*y + 10. Suppose 5*b + 33 - 13 = a. Let m = b + 28. Is 12 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -58.3 + 10.3. Let k = -0.0217 - -47.7217. Let v = k + h. Which is the nearest to 0.1?  (a) 1\/3  (b) v  (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(y) = -y**2 + 11*y - 8. Let h = -21 - -29. Let u be r(h). Suppose k - u = -5*d, -3*d + 6*d - 18 = -2*k. Solve 4*o - 8 = 0, 7*o - k = 5*x + 4*o for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1694 = -420*r + 123*r - 88 for r.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(931) + sqrt(931)*-3)**2 - sqrt(19))*-5.\nAnswer: -18620 + 5*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -19*d - 21 = -j - 15*d, -3*j + 5*d = -35 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1 - 1 - 1974*v + 309*v.\nAnswer: -1665*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is -3 + 9 - (3 - (-2 - -1)) - -1?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -3 + (5 - 7 - -5) - -5.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let o(p) = 70*p. Let d(j) be the second derivative of -5*j**4\/24 + 153*j**2\/2 + 33*j. Let k(h) be the first derivative of d(h). Determine -55*k(r) - 4*o(r).\nAnswer: -5*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 3\/4, 2\/47, -17\/6, -77, 6?\nAnswer: 2\/47","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*y = -2*g + 7*g + 20, -5*y - 8 = -g. Let h = 3.7 + -4. What is the nearest to 1 in h, g, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {x: 1, m: 1, s: 1, o: 1, u: 1}. Give prob of sequence mo.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 4654239591?\nAnswer: 3, 31, 50045587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Express -7*w**2 + 2 - 2*w**3 - 4 + 6*w**2 - 14*w**3 as s*w**3 + o*w + c*w**2 + r and give r.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -p = 0, -70 - 30 = 5*n + p. Suppose -3*k + 116 = 4*f + k, 4*k - 48 = -2*f. Let g = n + f. What is the highest common divisor of 7 and g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*i - 1656 = -5*c, 15*i - 14*i + 1 = 0. Does 3 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 2.17 and 4?\nAnswer: 8.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Does 63 divide 937 + (-2 - (0 + -10))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 30\/6 + (-171)\/36. Let s be (0*3\/(-3))\/(-1). What is the biggest value in s, -2\/21, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 4563 is divided by 377?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: 10 + (3 + (-2 - -11) - 10)\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Does 7 divide 441?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((x\/(x\/(x*x**(1\/5)*x*x))*x*x*x**(-2))\/((x\/x**(-1\/4))\/x**(2\/5)))\/(x**(-1\/25)*x**(-46)) assuming x is positive.\nAnswer: x**(4839\/100)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"}
{"text":"Question: Rearrange 8*f**2 - 4*f**2 + 2*f - 10*f - 8*f - 37*f to g*f**2 + x + l*f and give g.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1?  (a) -0.06  (b) -2  (c) 7\/5  (d) -1.6  (e) -2\/21\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Express (0*b - 3*b - 12*b)*(-5 + 5 - 2*b) in the form l*b**2 + z*b + w and give l.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 61585812 and 25660755?\nAnswer: 307929060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 12 a factor of 14441?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 0 + (-8 - -2)\/(-3). Suppose 0 = a - 2*a + z. Let j = 3 + -4. What is the closest to j in 0.5, a, 4?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 441, 500, 559, 618, 677?\nAnswer: 736","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2 = -a + 5*d, -a = -0*a + 4*d - 2. Let u(m) = 4*m + 0*m - a*m. Let w(q) = 4*q - 1 + 1. What is u(w(s))?\nAnswer: 8*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -53\/8340 and 151\/2547870.\nAnswer: 5095740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 6461, 6473, 6481, 6485?\nAnswer: 6485","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 150\/24*8 + (5 - -4) + -4. Let n(s) = -s**3 - 6*s**2 + 3*s - 6. Let r be n(-7). Calculate the highest common divisor of q and r.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1543 + -1538 + (-1 - 24 - (-2 - 0))?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 1361 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve 132*w + 13 = 119*w for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 43568 is divided by 587.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -6 + 8. Let v(o) = 4*o**p - 2*o**2 + o**2 + 2 - 2*o. What is the tens digit of v(2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -6484800 by 2.\nAnswer: -3242400","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 19 a factor of 1064703?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let j(c) = c**2 - 8*c - 11. What is the remainder when 64 is divided by j(11)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(o) = -o**2 - 27*o - 50. Let z be l(-19). Let g = 105 - z. Solve -2*m = -a - 4, g*a - 5*m + 0*m = -9 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {v: 1, j: 3}. What is prob of sequence jv?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let q(n) = 10*n - 7*n**2 - n**3 + 6 + 0*n**3 - 11*n. Let s be q(-7). Suppose -s = m - 21. Solve 7*l = 5*l + m for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2038818110 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (v*v**16)\/v**(-4\/7) assuming v is positive.\nAnswer: v**(123\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -240 - 45663?\nAnswer: -46233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Do -201 and -0.1 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 22*f**3 + 18*f**3 - 41*f**3.\nAnswer: -f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 80435 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 10832567701 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*i - 25 = 2067*l - 2064*l, 2*l = -2*i - 6 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -31 - -32. Solve -w = -3 - b for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -5 + 4 + -1 + 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 159*p + 31 = 128*p for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 3\/5, 28, -1\/7, 2, 0.2, 93\/5?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let h(d) = d - 218. Let j(x) = -x - 36. Let n(s) = -h(s) + 4*j(s). Give n(17).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 5062944?\nAnswer: 2, 3, 23, 2293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange ((0 + 1 + 1)*(2 - 1 - 2)*(8084 - 256*p**3 - 8084) + 4 - 4 - p**3)*(6*p - 2*p + 0*p)*(1 - 4 - 1) to w*p**3 + k*p + a + x*p**4 + r*p**2 and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 2421985 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 34599.66 + -288.66. Let c = m + -34147.83. Let v = -165 + c. What is v rounded to 1 decimal place?\nAnswer: -1.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(252) - (1 + (sqrt(252) - (sqrt(252) + sqrt(252) + 3)) + sqrt(252)))**2*-4 - (sqrt(525)*3)\/(sqrt(9)\/(sqrt(3)*-2)).\nAnswer: -1024 - 66*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 14477719 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-418)\/(-99))\/((-28)\/(-126))?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be ((-4)\/6)\/(12\/(-72)). Suppose -f + o = 4. Suppose f = 4*k, 5*p = -3*k + 4*k + 240. What is the units digit of p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 7 a factor of 793?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 14261 + 5419 = 16*i. Is 35 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0 + -5 + (12 - 12)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let f(v) = -v**3 + 6*v**2 + 32*v - 158. Calculate f(7).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 p, 1 v, and 1 j when three letters picked without replacement from vvpvjvjvpvvjjvvpjpjv?\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -2\/3 in -8, 38, -0.7, -3?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 722804217?\nAnswer: 3, 281, 857419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -53\/4935861 and 4\/35?\nAnswer: 24679305","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 2\/(-7) - (-26)\/(-7). Let y = j - -6. Find the third derivative of d**5 - d**2 + 3*d**y - 4*d**2 wrt d.\nAnswer: 60*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 196652 and 426856?\nAnswer: 932","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Sort -62158, 2, 15.\nAnswer: -62158, 2, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -0.011, -3, -7, 1\/7?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1 - 51*s**3 - 1 + 49*s**3.\nAnswer: -2*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let r(d) = 4*d - 5. Let n be r(-12). Let p = -29 - n. Suppose 3*w - 3*j = p, 0*j + 16 = -w - 5*j. Solve -w*i + 5 = 17 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -206, -995, -2310, -4151?\nAnswer: -6518","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 12*m + 8 = 16*m - 5*l, 3*m = 4*l + 6. Suppose 16*r - 13*r = 3*q + 27, -m*r = -3*q - 19. Calculate the least common multiple of 20 and r.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 586 - -2 - (-9 + 18) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (4 - 56 - 123)*(6 - 8 + 12)*((-5*u + 0*u + 3*u)*(-5 + 3 + 3) - 5*u + 5 - 5) as w*u + v and give w.\nAnswer: 12250","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let n(o) = -o - 11. Suppose 5*c + 48 = -17. Let u be n(c). Suppose x + 4760000 = u*g, 2380000 = g - 3*x - 0*x. What is g rounded to the nearest 100000?\nAnswer: 2400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 256 + -0.01.\nAnswer: 255.99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let u(o) = -3799*o + 22795. Determine u(6).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*o + 0*o + 0*o)*(-96*o - 6681 + 6681).\nAnswer: 288*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 8\/3 of a day in minutes?\nAnswer: 3840","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 31 and 11742924?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((x*x*x\/(x**(-5)\/x*x)*x)\/x*x*x**(-3\/2)*(x**(-4\/3)*x)\/x**6)\/(x**3\/(x*x**5*x)*x\/(x**(2\/5)*x*x)*x**0) assuming x is positive.\nAnswer: x**(197\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -267?  (a) 0.02  (b) 4  (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0000326 rounded to five decimal places?\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let x(k) = -640*k + 345. Calculate x(1).\nAnswer: -295","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 14 (base 6) in base 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 37*1\/1*-1. Let a(u) = -11*u - 80. Let i be a(-13). Let n = i + t. Is 25 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 8\/(-20)*(-35 - 0). Suppose 4*w + 3*p = 5*p - o, 4*w = -p - 17. Let n be (w + 3 - 1)*395. Round n to the nearest 100.\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(n) = -11*n + 7*n + 4 - 12 + 6*n. Let b = -3560 - -3564. Calculate z(b).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {t: 4, x: 1, e: 1, g: 7}. Give prob of sequence gxgg.\nAnswer: 7\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -312, -622, -932, -1242, -1552, -1862?\nAnswer: -2172","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Factor a**4\/3 - 52*a**3\/3 + 100*a**2\/3.\nAnswer: a**2*(a - 50)*(a - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (4 - 5) + 9 - (3 + 3).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from soolsllosololosslso. Give prob of sequence lso.\nAnswer: 14\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let m(z) = z**3 - 10*z**2 - 8*z - 1. What is the remainder when m(11) is divided by 17?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 28425\/8 - 3562. What is the common denominator of x and -43\/318?\nAnswer: 1272","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(j) = -j - 5. Let q be -1 + (4 - (1 - 2)). Let y(a) = -3 - q - 1 + 5 - a. Let f(g) = 3*w(g) - 5*y(g). Let u(i) = 16*i. What is f(u(c))?\nAnswer: 32*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 19*x - 130 + 2*x**4 + 6*x**2 - 4*x**2 + 132 + 0*x**2 to the form g + f*x**2 + t*x**3 + w*x**4 + m*x and give m.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let i(r) be the second derivative of r**4\/36 + 535*r**3\/9 + 286225*r**2\/6 + 1908*r. Solve i(n) = 0 for n.\nAnswer: -535","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*m**4 + 96*m**3 + 886*m**2 + 792*m.\nAnswer: 2*m*(m + 1)*(m + 11)*(m + 36)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let p(q) be the first derivative of 8\/3*q**3 + 1\/8*q**4 + 0*q**2 - 46 + 0*q - 1\/120*q**5. Let u(b) be the third derivative of p(b). Determine u(4).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:01 AM and 9:30 AM?\nAnswer: 149","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*v + 5*z = -62 + 70, -14 = -v - 10*z + 5 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 259\/(-14) + 901\/159 + 2\/(-12)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (6*a - 3*a - 2*a)*(-4*a**4 - 6*a**4 - 15*a**4).\nAnswer: -25*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 0.818  (b) -7\/2  (c) 1333\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*x = 2*b - 86, 5*x + 201 + 38 = 9*b. What is the greatest common divisor of 8029 and b?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -86, 2\/23, 54 in descending order.\nAnswer: 54, 2\/23, -86","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (1\/(-15) + 50\/125)*6.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 2 by 160.\nAnswer: 1\/80","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is seven quarters of a minute in seconds?\nAnswer: 105","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: -83508.891179 + 4\nAnswer: -83504.891179","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 28 + -26. Which is the second biggest value?  (a) -1  (b) 2\/9  (c) m  (d) 0.8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -51\/20 and -25\/306.\nAnswer: 3060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let t(h) = -3*h - 3. Let z be t(-3). Let c be z\/15 + 204\/(-10). Let n = 39 + c. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*z + 2*f - 4*f + 8 = 0, -4*z = -3*f + 12. Suppose o - 3*o - 12 = z. List the prime factors of -2 + o\/(-3) + 10.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(r) = r**2 + 6*r + 1. Let p = 11 + 1. Let c = p + -8. Suppose c*a + 5*u + 19 = 0, -2*u = -0*a - 3*a - 20. Determine l(a).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose z + 150*a - 8 = 149*a, 5*z - 6*a - 40 = 0. Let m = 37 - -4. Let v = -17 + m. What is the highest common factor of v and z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 109, 191, 273, 355?\nAnswer: 437","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -16.6 - -17. What is the nearest to 0.1 in s, 0.5, 4?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -99 - -563. Calculate the highest common divisor of x and 58.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 51 a factor of 172857?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (o*o**(1\/2)*o)**(2\/5)\/(o**(3\/16)\/((o*o**(-3\/5)\/o*o*o)\/o)) assuming o is positive.\nAnswer: o**(97\/80)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {d: 7}. What is prob of sequence ddd?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let j(c) = 32*c**3 + 1. Let u be j(-1). Suppose 10*a - 217 = 423. Let k = a + u. What is the greatest common divisor of 3 and k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4*y**2 + 2896*y - 74900.\nAnswer: 4*(y - 25)*(y + 749)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -292 + 376. What is the highest common factor of g and 60?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 8 - ((-35278)\/(-1302) - (-4 - (-258)\/63))?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -61\/14 and -87\/70798?\nAnswer: 70798","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 88611456 divided by 948?\nAnswer: 93472","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -71 - -75. Suppose -3374 = -g - c*p - 0*p, 0 = -5*p - 15. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 207 and 1104.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 4*7\/14 - (-264)\/(-144)?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(i) be the first derivative of i**4\/8 + i**3\/3 - 5*i**2 + 4. Let t(n) be the second derivative of g(n). Give t(-2).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -10, -296, 4, -4 in increasing order.\nAnswer: -296, -10, -4, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (4\/4)\/((-1)\/6). What is the units digit of 15\/u*16\/(-5)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 77 is divided by 14.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 3 - -1. Solve 16 + 0 = -r*j for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 4 + -9302558?\nAnswer: -9302554","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1316320356.\nAnswer: 2, 3, 13, 8437951","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let z(p) = p**3 + 15*p**2 + 15*p + 19. Let h be z(-14). Let d = 0.765 + 0.165. Let q = 0.07 + d. What is the closest to q in -4, -5, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1019975*m + 1312 = 1020031*m - 424 for m.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1713 is divided by 567.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 46 - 126. Let w = -79.974 - d. Which is the biggest value?  (a) w  (b) -0.1  (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 95 is divided by 11.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 13*k*q - 48*k - 8934*q wrt k?\nAnswer: 13*q - 48","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -7 + 11. Let v = 2 - 19. List the prime factors of r\/(-10) - v\/5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4*sqrt(2880)*2*4.\nAnswer: 768*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 105192 is divided by 14.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 5.33508 litres in millilitres?\nAnswer: 5335.08","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let p(q) = -q**3 + 13*q**2 - 13*q + 16. Let h be p(12). Let 143*r**4 - 70*r**4 + 16*r**2 - 69*r**h + 16*r**3 = 0. What is r?\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -98.33 + 9.93. Let y = -130 - -34. Let s = y - v. Round s to zero decimal places.\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1129090 divided by -5?\nAnswer: 225818","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve 11*b = 2*d + 16*b - 35, 3*d - 5*b = -10 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-16)\/(-88) + 9\/132?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Find q such that -2*q**5 + 16*q**4 + 18*q**3 = 0.\nAnswer: -1, 0, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 0.2 + -0.5. Let s = -0.8 - f. Let v = -0.84 + 0.64. What is the third biggest value in -3, v, s?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 7\/5, -4, 1 in decreasing order.\nAnswer: 7\/5, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -270*i**3*o**2*r + 1423*i**3*o + 2*o**3*r - 3*o**3 wrt r.\nAnswer: -270*i**3*o**2 + 2*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Round 183860 to the nearest 1000.\nAnswer: 184000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of ((-60)\/210)\/(2\/(-14042)).\nAnswer: 2, 17, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 9*10 + -6 + 5. Let i = p + -10. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -0.87 + 1. Let w = u + -3.13. Suppose 12 = 56*q - 61*q + 2*k, -k = 4*q + 20. Sort w, q, -0.8 in descending order.\nAnswer: -0.8, w, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*h - h + 3*p = 0, -3*h + 2*p = 0. Suppose a = 4*a - 3*o - 12, h = -2*a - 4*o - 10. What is the nearest to a in 0.7, -0.2, -5\/2?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 0.07964 - 0.083. What is g rounded to four decimal places?\nAnswer: -0.0034","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -21*a**2*h**3*t + 157*a**2*h**2*t**2 + 2*a*h**3*t**2 + 6*a*h**3 + 170*t**2 wrt a.\nAnswer: -42*h**3*t + 314*h**2*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of 355, 2772, 9327, 22090, 43131, 74520, 118327, 176622?\n\"Answer: 345*w**3 - w**2 + 5*w + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*m - 5*q + 48, 2*q = -5*m - 16 - 77. Let t = m - -17. Solve -3*l - 32 = -5*k, t = -4*l - k - 2*k - 4 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 83*s**3*w**3 - 21*s**3*w**2 + s**3*w - 2*s**2*w - s**2 - 40*s*w**3 + 24*w**2 wrt s?\nAnswer: 498*w**3 - 126*w**2 + 6*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 6 - 5. Let m be 4 + 1 + -2 + h. Solve c = -m*c + 5 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Total of 149201667 and -0.27.\nAnswer: 149201666.73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -404 + 195. Let g be (-4142)\/p - (-2)\/11. Let f be ((-16)\/g)\/(8\/(-20)). Solve -t = -f*b + 6, -27 = 4*t - 7*t - 3*b for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -28893494*a**2 + 10 + 28893489*a**2 - 10.\nAnswer: -5*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {t: 1, n: 7}. Give prob of picking 3 n.\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 2198 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-6)\/18)\/(2\/12)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (0 - 8\/(-3))*66\/8. Let x be (-2)\/((-12)\/g) + (-14)\/21. Put 5, -3, x, 4 in ascending order.\nAnswer: -3, x, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(n) = 9*n**3 - 5*n**2 + 5. Let u(i) = -10*i**3 + 5*i**2 - 6. Let x(b) = 6*h(b) + 5*u(b). Let s(k) = -4*k**3 + 6*k**2. What is -5*s(m) - 6*x(m)?\nAnswer: -4*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 k, 1 d, 1 c, and 1 o when four letters picked without replacement from odckdcddjodcdkckc?\nAnswer: 9\/119","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: -101201 (base 3) to base 7\nAnswer: -562","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 1 + 2 + (-5 - -4). Solve 4*f = 2*p + 12, p = f + y*p + 3 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 2?  (a) 10  (b) -25  (c) -2\/3  (d) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}